table.tsv

SYNTAX	DESCRIPTION	CLASS	TYPE	GROUP	CATEGORY	KEYWORDS	TIO	DOCS
⍬	Empty Numeric Vector	Primitive	Array		Expression	zilde emptylist emptynumericlist zerotilde emptyvector null emptyset none ∅ voidlist	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9a5ReNS5UMHgUe8Wg///AQ	https://help.dyalog.com/latest/#Language/Symbols/Zilde%20Symbol.htm
⊢Y	Same (I-combinator): Y	Primitive	Monadic Function		Identity	Identity-combinator dex righttack sameright default	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQedS1SUDBUMFIw/v8fAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Same.htm
X DOP Y⊢Z	Separate right operand of dyadic operator (DOP) from its right argument (same as (X DOP Y)Z )	Primitive	Dyadic Function		Identity	dex righttack sameright	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9ex91LvYWOFR1yIF9cjKSvX//wE	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Same.htm
X⊢Y	Right (K-combinator): Y	Primitive	Dyadic Function		Identity	Kestrel-bird dex righttack sameright	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUfdQVHnUtUlAPUv//HwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Right.htm
X⊢Y	Church Boolean false (X if false, else Y)	Primitive	Dyadic Function		Boolean/Logical	falsy falsey 0	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUS4pKU9UVHnUtUlBPS8wpTlX//x8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Right.htm
⊣Y	Same (I-combinator): Y	Primitive	Monadic Function		Identity	Identity-combinator lev lefttack	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQedS1WUDBUMFIw/v8fAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Same.htm
X⊣Y	Left (KI-combinator): X	Primitive	Dyadic Function		Identity	lev lefttack sameleft defer ignore where kite-bird	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUfdQVHnUtVlAPUv//HwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Left.htm
X⊣Y	Church Boolean true (X if true, else Y)	Primitive	Dyadic Function		Boolean/Logical	truthy 1	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUS4pKU9UVHnUtVlBPS8wpTlX//x8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Left.htm
+Y	Conjugate ('Identity' if Y not complex)	Primitive	Monadic Function		Mathematical	greek cross plus ¯10○ ¯10∘○ conj() conjugating	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExS0FQz1jBQMskwUDq03zTq03kxBPTEpWf3/fwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Conjugate.htm
+N	Mirror complex N across x-axis	Primitive	Monadic Function		Circular/Trigonometric	greek cross conjugate negateimaginary mirroring reflecting reflection	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtE7QNvYwUDq039Dq03uj/fwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Conjugate.htm
M+N	Adding N to M	Primitive	Dyadic Function		Mathematical	greek cross plus addition	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYwUjBVMFLQVDA24UMS0geSh9SYKhv//AwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Add.htm
-N	Negate: 0-N	Primitive	Monadic Function		Mathematical	minus hyphen invert additiveinverse opposite dash negation signchange − negating	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExR0FYz1jBQOrTdXMPj/HwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Negative.htm
M-N	Subtracting N from M	Primitive	Dyadic Function		Mathematical	minus dash hyphen subtraction difference −	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFcwVLBV0FUy5oAKmCoYKJkABI6CUyf//AA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Subtract.htm
×N	Direction ('Signum' if N is real)	Primitive	Monadic Function		Mathematical	cross sgn() sign() trend	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQOT1cw1jNUOLTeSMFAwTjL5P9/AA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Direction.htm
M×N	Multiplying M and N	Primitive	Dyadic Function		Mathematical	cross times multiplication ∙ ⋅ · product	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFA6tN1Yw0TNVODwdzDy03kTBiAsqa6xgqGACkjE0@P8fAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Multiply.htm
M×N	Probabilistic AND	Primitive	Dyadic Function		Mathematical	fuzzy probability chance conjunction Kpq	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFQz0TIHYCEgoHJ4O4v3/DwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Multiply.htm
Mm×Nm	Hadamard product of Mm and Nm	Primitive	Dyadic Function		Mathematical	cross times multiplication ○ ⊙ element-wise entrywise Schur matrix matrices	https://tio.run/##SyzI0U2pTMzJT///31HhUdsEBSMF40e9WwwNFIwMdIwNFEwMdEwNFMwMuJyQZRWMdIwVTHRMFcy4HvVNBUk4KhyeruD0/z8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Multiply.htm
A×N	Selecting elements satisfying condition A, others to 0	Primitive	Dyadic Function		Boolean/Logical	zero cells items	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMgdAAjA9PVzAGMkyA2PT/fwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Multiply.htm
M∨N	Greatest Common Divisor of M and N	Primitive	Dyadic Function		Mathematical	gcd() gcf() factor hcf() highest gcm() measure hcd Caron hacek invertedcircumflex checkmark hachek wedge	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMTRUMFYwUzBUedaxQMAZxTBQM/v8HAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Or%20Greatest%20Common%20Divisor.htm
A∨B	Logical OR	Primitive	Dyadic Function		Boolean/Logical	gate disjunction vel alternation Caron hacek invertedcircumflex checkmark hachek Apq wedge	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAzB@FHHCiANYhn@/w8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Or%20Greatest%20Common%20Divisor.htm
M∧N	Lowest Common Multiple of M and N	Primitive	Dyadic Function		Mathematical	least smallest lcm() denominator lcd() caret hat circumflex ^	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMTRUMFYwUzBUedSxXMAZxTBQM/v8HAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/And%20Lowest%20Common%20Multiple.htm
A∧B	Logical AND	Primitive	Dyadic Function		Boolean/Logical	gate conjunction caret hat circumflex Kpq ^	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAzB@FHHciANYhn@/w8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/And%20Lowest%20Common%20Multiple.htm
⌈N	Rounding up to integer	Primitive	Monadic Function		Mathematical	upstile roundup ceiling seiling up() ceil()	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9XQoGOuZKBxaDyKNFQz@/wcA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Ceiling.htm
M⌈N	Maximum of M and N	Primitive	Dyadic Function		Mathematical	most upstile greater larger max() bigger	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQM9QwVDq03UnjU06FgAWYb65n8/w8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Maximum.htm
⌊N	Rounding down to integer	Primitive	Monadic Function		Mathematical	downstile rounddown down() floor()	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9XQpGOuZKBxaDyKNFQz@/wcA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Floor.htm
M⌊N	Minimum of M and N	Primitive	Dyadic Function		Mathematical	least downstile lesser smaller min()	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQM9QwVDq03UnjU06VgAWYb65n8/w8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Minimum.htm
⌽Y	Reverse last axis of Y	Primitive	Monadic Function		Structural	circlestile reversing dimension	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9exVUC8pSswtVv//HwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Reverse.htm
⌽Ym	Reflect vertically	Primitive	Monadic Function		Structural	mirroring reflecting reflection right-left rightleft leftright left-right	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWTR71bHvVuNjTietQ3FST0qGevAlD6/38A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Rotate.htm
I⌽Y	Rotate vectors along last axis of Y	Primitive	Dyadic Function		Structural	circlestile rotating shifting cyclically dimension lists	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFR717FVQ90gsCS5JzEtR54KKH1pvBJYxVDACqjFRMFUw@/8fAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Rotate.htm
⊖Y	Reverse leading axis of Y	Primitive	Monadic Function		Structural	circlebar rowel upsetting flipping upending upsidedown reversing ⌽[1] dimension start beginning	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFIwVjBZNHvVse9W42MuF61DcVJPioaxpQ/v9/AA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Reverse%20First.htm
⊖Ym	Reflect horizontally	Primitive	Monadic Function		Structural	mirroring reflecting reflection up-down updown down-up downup	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWTR71bHvVuNjTietQ3FST0qGsaUPb/fwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Rotate%20First.htm
I⊖Y	Rotate vectors along leading axis of Y	Primitive	Dyadic Function		Structural	circlebar rotating cyclically dimension lists start beginning	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWTR71bHvVuNjTietQ3FSRkoGCoYKRwaL2hwqOuaQpAhf//AwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Rotate%20First.htm
÷N	Reciprocal: 1÷N	Primitive	Monadic Function		Mathematical	multiplicativeinverse opposite obelus inverting reciprocating per	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQOb1cwVDBSMP7/HwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Reciprocal.htm
M÷N	Dividing M by N	Primitive	Dyadic Function		Mathematical	division over ⁄ divide per	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYwUjBUOb1cwUTBVMOeCiRqAhA6tN1Iw0DP9/x8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Divide.htm
|N	Magnitude (absolute value)	Primitive	Monadic Function		Mathematical	verticalbar pipe stile stroke verticalline modulo modulus amplitude 10○ 10∘| hypotenuse hypot()	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExRqFIz0jBUOrTdRMFAwzjL5/x8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Magnitude.htm
M|N	Residue after dividing N by M	Primitive	Dyadic Function		Mathematical	verticalbar pipe stile stroke verticalline modulo modulus divisionremainder divide % divmod() residual	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFAwNFA6tN9IzVahRMAeyDI0VLP7/BwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Residue.htm
!N	Factorial (Gamma function of N+1)	Primitive	Monadic Function		Mathematical	pling exclamation bang shriek countpermutations combinatorics fact() gamma() Γ	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQUFYwVLBUOrTfQMzT8/x8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Factorial.htm
M!N	Number of selections of size M from N (using Beta function): C(N,M)	Primitive	Dyadic Function		Mathematical	pling exclamation bang shriek binomial combinatorics countcombinations unordered selecting picking outof nCk C(n,k) choose choosing	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFAwVjBUUgdjQQOHQegM9Q8P//wE	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Binomial.htm
A!N	Selecting elements satisfying condition A, others to 1	Primitive	Dyadic Function		Boolean/Logical	one cells items	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMgdAAjBUVjIG0CQj//w8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Binomial.htm
?J	Random number selected from ⍳J	Primitive	Monadic Function		Mathematical	questionmark roll randominteger interrogationpoint query eroteme	https://tio.run/##SyzI0U2pTMzJT///qHeugnNOZnK2wqPmuY/6tyqU5Cukp@alFiWWpCrkpZYr5JXmJqUWFf9/1Df1UdsEBXsFMxj8/x8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Roll.htm
?B	Random real number between (0,1) if B=0 or ⎕IO if B=1	Primitive	Monadic Function		Mathematical	questionmark roll randomfloat interrogationpoint query eroteme	https://tio.run/##SyzI0U2pTMzJT///qHeugnNOZnK2wqPmuY/6tyqU5Cukp@alFiWWpCrkpZYr5JXmJqUWFf9/1Df1UdsEBXsFAwWD//8B	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Roll.htm
Is?Js	Deal: Is random numbers between 1 and Js (without replacement)	Primitive	Dyadic Function		Index Generation	questionmark interrogationpoint query eroteme distinct cells elements remove indices removing erasing erase eliminate eliminating delete deleting 1…Js 1...Js ⍳Js	https://tio.run/##SyzI0U2pTMzJT///qHeugnNOZnK2wqPmuY/6tyqU5Cukp@alFiWWpCrkpZYr5JXmJqUWFf9/1Df1UdsEBUNjBXsFU6P//wE	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Deal.htm
M<N	Less Than	Primitive	Dyadic Function		Comparison	lt before precedes ≺ smaller lesser	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYwUjBVsFEyA9KH1hlxowkb//wMA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Less.htm
A<B	Logical converse nonimplication	Primitive	Dyadic Function		Boolean/Logical	gate ⇍ Mpq cnimply	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAzB2AZIgmjD//8B	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Less.htm
M≤N	Less Than Or Equal To	Primitive	Dyadic Function		Comparison	before precedes ≦ smaller lesser same as	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYwUjBUedS5RMAGyDq035MKQMPr/HwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Less%20Or%20Equal.htm
A≤B	Logical implication	Primitive	Dyadic Function		Boolean/Logical	gate materialconditional materialconsequence implies implying materialimplication therefore ∴ ⇒ Cpq	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAzB@FHnEiANYhn@/w8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Less%20Or%20Equal.htm
X=Y	Equal To	Primitive	Dyadic Function		Comparison	sameas ===	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYwUjBVsFUyA9KH1hlxQYXWnxDwgVAfKqCeqw0TNQVxz9f//AQ	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Equal.htm
A=B	Logical XNOR	Primitive	Dyadic Function		Boolean/Logical	gate materialbiconditional biimplication eqv nxor bothorneither exclusivenor materialequivalence ⇔ δ ẟ Kroneckerdelta iff logicalequivalence Epq doubleimplying both-or-neither	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAzB2BZIgmjD//8B	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Equal.htm
M≥N	Greater Than Or Equal To	Primitive	Dyadic Function		Comparison	ge after follows ≧ larger same as succeeds	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYwUjBUedS5VMAGyDq035MKQMPr/HwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Greater%20Or%20Equal.htm
A≥B	Logical converse implication	Primitive	Dyadic Function		Boolean/Logical	gate because ∵ ⇐ if converseconditional Bpq reverseimplying cimply	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAzB@FHnUiANYhn@/w8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Greater%20Or%20Equal.htm
M>N	Greater Than	Primitive	Dyadic Function		Comparison	gt after follows ≻ larger succeeds	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYwUjBXsFEyA9KH1hlxowkb//wMA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Greater.htm
A>B	Logical nonimplication	Primitive	Dyadic Function		Boolean/Logical	gate abjunction ⇏ not butnot Lpq nimply	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAzB2A5IgmjD//8B	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Greater.htm
≠Y	Nub sieve: mask for major cells to leave the distinct (∪Y)	Primitive	Monadic Function		Sets	unique Boolean indication indicate first occurrences ⍧ items elements masking indicating nub-sieve nubsieve		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Unique%20Mask.htm
X≠Y	Not Equal To	Primitive	Dyadic Function		Comparison	ne unequal differentfrom != <> /=	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYwUjBUedS5QMAGyDq035IJKqDsl5gGhOlhOPVEdJm4OETBX//8fAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Not%20Equal.htm
A≠B	Logical XOR	Primitive	Dyadic Function		Boolean/Logical	gate exclusivedisjunction eor exor ⊕ ⊻ ⇎ Jpq	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAzB@FHnAiANYhn@/w8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Not%20Equal.htm
≡Y	Depth: Maximum level of nesting in Y (negative if uneven)	Primitive	Monadic Function		Array Properties	equalunderbar	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQedS5UMOdC4qgnJiWrIwtoGCoYaWoYK5hoYhc1/f8fAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Depth.htm
X≡Y	Match: 1 if X is identical to Y, else 0	Primitive	Dyadic Function		Sets	testif equalunderbar identical? === equivalentto sameas	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUk9QV1FOBuEJd4VHnQiA/tUKdCyppCBYyVDD8/x8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Match.htm
≢Xm	Number of rows in matrix Xm	Primitive	Monadic Function		Array Properties	count tally table	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFIwXjR71bHvVuNuN61DcVJPKoc5ECUBbO7d0C4v7/DwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Tally.htm
≢Y	Tally: Number of items in leading axis	Primitive	Monadic Function		Array Properties	equalunderbarslash unequalunderbar count length() cells len() major cells rows elements dimension start beginning	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQedS5SUE9U50LimiuYKBghC5gCBYwf9W4xQBbUMFQw0tQwVjDR/P8fAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Tally.htm
X≢Y	Not Match: ~X≡Y	Primitive	Dyadic Function		Sets	notmatch natch equalunderbarslash unequalunderbar notidentical differentfrom nonequivalent inequivalent unequivalent	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUk1Ir1BUedS4CstR11FOBuEKdCyppCJYwVDD8/x8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Not%20Match.htm
↓Y	Split: Nest sub-arrays (from last axis)	Primitive	Monadic Function		Structural	spike downarrow subarrays dimension	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFIwVjBZNHvVse9W42MuF61DcVJPiobbICUMH//wA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Split.htm
↓Ym	Matrix to vector of row vectors	Primitive	Monadic Function		Structural	spike downarrow split lists from table into	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWTR71bHvVuNjTietQ3FST0qG2yAlD6/38A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Split.htm
Is↓Ym	Drop Is rows from matrix Ym	Primitive	Dyadic Function		Structural	dropping table delete remove without removing erasing erase eliminate eliminating deleting	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWTR71bHvVuNjLhetQ3FSRkCJSYrABU8P8/AA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Drop.htm
Iv↓Y	Drop Iv items along leading axes of Y	Primitive	Dyadic Function		Selection	dropping spike downarrow split remove trim cut major cells rows elements dimensions delete start beginning without removing erasing erase eliminate eliminating deleting	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWTR71bHvVuNjLhetQ3FSRkqHBovRFQcrICUNH//wA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Drop.htm
↑Y	Mix: Remove nesting (adding trailing axes)	Primitive	Monadic Function		Structural	pike uparrow axis dimensions delete drop ending without removing erasing erase eliminate eliminating deleting	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQetU1U0DBTMNFUMFUw/v8fAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Mix.htm
↑Yv	Vector of row vectors to matrix	Primitive	Monadic Function		Structural	pike uparrow mix table from lists into VVtoMAT	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQetU1UUPfILFAHkvkF6v//AwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Mix.htm
Is↑Yv	Padding Yv on the right to width Is	Primitive	Dyadic Function		Structural	extend right-align rightalign text string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExRMFR61TVQwVjBUMOGCCh1ajyT4/z8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Take.htm
Is↑Ym	Take Is rows from matrix Ym	Primitive	Dyadic Function		Structural	taking table grab first last chop	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWTR71bHvVuNjTietQ3FSR0aL0RUGqiAlDJ//8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Take.htm
Iv↑Y	Take Iv items along leading axes of Y	Primitive	Dyadic Function		Selection	taking pike uparrow first last beginning trailing head tail major cells rows elements dimensions 1st start ending	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWTR71bHvVuNjTietQ3FSRkpHBovTFQcqICUNH//wA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Take.htm
Iv↑Ys	Padding Ys to shape Iv	Primitive	Dyadic Function		Structural	extend text string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQOrTdSMFZ41DZRwfz/fwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Take.htm
⍴Y	Shape: Length of each axis of Y	Primitive	Monadic Function		Array Properties	dimensions rho ρ ϱ rank axes	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWTR71bHvVuNjTietQ3FSQE5CsApZG4mCIK6pX5pUUKSfmJJerIwuZousz//wcA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Shape.htm
Iv⍴Y	Reshape Y to have shape Iv	Primitive	Dyadic Function		Structural	cycle rho mold form dimension array ρ ϱ mould dim() axis cyclically repeat repetition repeats repeating take taking elements of	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFIwVTBQe9W5RMISyTRXMFMz//wcA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Reshape.htm
*N	e raised to the power N	Primitive	Monadic Function		Mathematical	star asterisk exponential etothepowerof naturalexponential exp() 2.718281828459045235360287471352662 antiln antilog ln^-1() ln⁻¹() log^-1() log⁻¹() lnₑ^-1() lnₑ⁻¹() logₑ^-1() logₑ⁻¹()	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExS0FAwUDBWM/v8HAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Exponential.htm
M*N	M raised to the power N	Primitive	Dyadic Function		Mathematical	star asterisk raisedtothepowerof exponentiation pow() ** raising ^	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExRMLBVMFQ6tN1HQUjDQM1UwApH//wMA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Power.htm
⍟N	Natural logarithm of N	Primitive	Monadic Function		Mathematical	naturallogarithm circlestar starcircle splat ln() lnₑ() logₑ()	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9c5XMFQwUjBWMNIzN7QwsgBh0///AQ	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Natural%20Logarithm.htm
M⍟N	Base-M logarithm of N	Primitive	Dyadic Function		Mathematical	logarithms logs circlestar starcircle splat log() log₁₀()	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFAwNFB71zlcwBrEMDP7/BwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Logarithm.htm
○N	pi times N	Primitive	Monadic Function		Circular/Trigonometric	pie archimedesconstant 3.141592653589793238462643383279503 π 𝜋 big large ring pythagorean	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQeTe9WMFAwVDD6/x8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Pi%20Times.htm
I○N	Circular functions	Primitive	Dyadic Function		Mathematical	trigonometric hyperbolic complex imaginary arcus angle goniometric circle big large ring	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFR5N71YwUDDUMzU3MLc0M1Yw1jM0MTS1NDLngioxIqzEGLeS//8B	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Circular.htm
~B	Logical inverse (NOT): 0=B	Primitive	Monadic Function		Boolean/Logical	gate tilde logicalnot logicalnegation logicalcomplement ¬ negate inverting	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTqFAwUDEH4/38A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Not.htm
Xv~Y	Without: (~Xv∊Y)/Xv	Primitive	Dyadic Function		Sets	tilde butnot except setdifference setsubtraction setminus ∖ removing remove delete drop erasing erase eliminate eliminating deleting	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFQwVTIDYVKEOiA25oMLqiYnqCupJSUAiORnKAqqAiFRUqP//DwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Excluding.htm
X f⍨Y	Commute (C-combinator): same as Y f X	Primitive	Dyadic Function	Monadic Operator	Function Application	Cardinal-bird switch tildediaeresis swap frown flip left and right arguments larg rarg args	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFB71blEw5kLmPupdoWD8/z8A	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Commute.htm
X f⍨Y	Church Boolean Logical Inverse	Primitive	Dyadic Function	Monadic Operator	Mathematical	~ not logicalnot logicalnegation logicalcomplement ¬ negate inverting	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUS4pKU9UVHnUtVlBPS8wpTlXnwpB51LsCJvn/PwA	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Commute.htm
Y⍨Z	Constant (K-combinator): ignore argument and return Y	Primitive	Monadic Function	Monadic Operator	Structural	Kestrel-bird tildediaeresis frown replace		https://help.dyalog.com/latest/#Language/Primitive%20Operators/Constant.htm
f⍨Y	Commute (W-combinator): same as Y f Y	Primitive	Monadic Function	Monadic Operator	Function Application	Warbler-bird selfie tildediaeresis frown duplicate left and right arguments larg rarg args	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9W551LtCwfj/fwA	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Commute.htm
X f∘g Y	Beside (D-combinator): X∘f on the result of g on Y, that is, X f g Y	Primitive	Monadic Function	Dyadic Operator	Composition	Dove-bird binary-unary after small little tiny jot composewith bind ring functioncomposition hook against ⟜	https://tio.run/##ASoA1f9hcGwtZHlhbG9n///ijpXihpAgwq8xIOKMveKImOKNs8KoIDMgNCA1//8	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Beside.htm
X∘g Y	Curry: g between X and Y, that is, XgY	Primitive	Monadic Function	Dyadic Operator	Composition	small little tiny jot composewith bind ring value to partially apply application leftargument makemonadic	https://tio.run/##SyzI0U2pTMzJT///Py@1okThUdsEBcNHHTO0uR71TQVxwKJGxv//AwA	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Bind.htm
f∘g Y	Beside: f on the result of g on Y, that is, f g Y	Primitive	Monadic Function	Dyadic Operator	Composition	after small little tiny jot composewith bind ring functioncomposition against	https://tio.run/##ASYA2f9hcGwtZHlhbG9n///ijpXihpAg4oy94oiY4o2zwqggMyA0IDX//w	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Beside.htm
X f¨Y	Each: f between items of X and Y	Primitive	Dyadic Function	Monadic Operator	Function Application	claws foreach diaeresis mapping cells elements	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFR61TTy0QsFQwUhBw1jBRFNBPUz9/38A	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Each%20with%20Dyadic%20Operand.htm
f¨Y	Each: f on items of Y	Primitive	Monadic Function	Monadic Operator	Function Application	claws foreach diaeresis mapping cells elements	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQedTUfWqFgqGCkYKyg7ujkrK6gYalgoWCu@f8/AA	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Each%20with%20Monadic%20Operand.htm
X f⍥g Y	Over (Ψ-combinator): preprocess (g) arguments before applying main function (f)	Primitive	Dyadic Function	Dyadic Operator	Composition	Psi-bird binary-unary ⎕U2365 circlediaeresis yawn surprise shock hoof wookie ontop composewith functioncomposition (gX)f(gY) (gX)fgY (fX)g(fY) (fX)gfY comparing psi-combinator		https://help.dyalog.com/latest/#Language/Primitive%20Operators/Over.htm?Highlight=%E2%8D%A5
f⍥g Y	Over: f on the result of g on Y, that is, f g Y	Primitive	Monadic Function	Dyadic Operator	Composition	⎕U2365 circlediaeresis yawn surprise shock hoof wookie composewith functioncomposition		https://help.dyalog.com/latest/#Language/Primitive%20Operators/Over.htm
Is f/Y	N-wise Reduce: f between all items of Y in groups of Is on last axis	Primitive	Dyadic Function	Monadic Operator	Function Application	sliding reductions oblique slant slash inserting solidus over rowwise reducing folding cells elements dimension row-wise horizontally windowed windows moving across	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFLT1FQyBlLGCiYLp//8A	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Reduce%20N%20Wise.htm
Iv/Y	Replicate along last axis of Y	Primitive	Dyadic Function		Selection	oblique slant compressing slash solidus copying repeatingeachcolumns dimension horizontally replicating rowwise row-wise across	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFQwVDq03UjBS0FcwUzBXsFCw/P8fAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Replicate.htm
Av/Y	Filtering columns of Y according to mask Av	Primitive	Dyadic Function		Selection	boolean-masking boolean-filtering oblique slant compressing slash solidus selecting cells items horizontally across bitmask bit-masking	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFQygWF9B3SM1sahE/f9/AA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Replicate.htm
f/Y	Reduce: f between all items of Y on last axis	Primitive	Monadic Function	Monadic Operator	Function Application	right oblique slant slash inserting solidus over rowwise reducing folding cells elements dimension row-wise horizontally across	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExS09RUMFYwUjBVMFEz//wcA	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Reduce.htm
Is f⌿Y	N-wise Reduce First: f between all items of Y in groups of Is on first axis	Primitive	Dyadic Function	Monadic Operator	Function Application	sliding reductions right slashbar reducefirst foldfirst insertfirst solidusbar columnwise f/[1] reducing major cells rows elements dimension 1st column-wise vertically windowed windows moving down	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWTR71bHvVuNjTietQ3FSSk/ahnvwJQ/v9/AA	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Reduce%20First%20N%20Wise.htm
Iv⌿Y	Replicate along leading axis of Y	Primitive	Dyadic Function		Selection	compressing slashbar solidusbar first copying repeatingeachrows Iv/[1] dimension 1st start beginning vertically columnwise column-wise down	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWTR71bHvVuNjTietQ3FSRkqGCgYKTwqGe/AlDR//8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Replicate.htm
Av⌿Y	Filtering major cells of Y according to mask Av	Primitive	Dyadic Function		Selection	boolean-masking boolean-filtering compressing slashbar selecting items vertically rowsofmatrix columnwise column-wise Av/[1] dimension 1st start beginning down bitmask bit-masking	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWTR71bHvVuNjTietQ3FSRkqGAAxI969isAFf3/DwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Replicate.htm
f⌿Y	Reduce First: f between all items of Y on first axis	Primitive	Monadic Function	Monadic Operator	Function Application	right slashbar reducefirst foldfirst insertfirst inserting folding solidusbar columnwise f/[1] reducing major cells rows elements dimension 1st column-wise vertically down	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWTR71bHvVuNjTietQ3FSSk/ahnvwJQ/v9/AA	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Reduce%20First.htm
X f⍤g Y	Atop (B₁-combinator): f on the result of X g Y, that is, f X g Y	Primitive	Monadic Function	Dyadic Operator	Composition	Blackbird-bird B1-combinator unary-binary ⎕U2364 pout ewok jotdiaeresis paw composewith functioncomposition upon		https://help.dyalog.com/latest/#Language/Primitive%20Operators/Atop.htm
f⍤g Y	Atop (B-combinator): f on the result of g on Y, that is, f g Y	Primitive	Monadic Function	Dyadic Operator	Composition	Bluebird-bird unary-unary ⎕U2364 pout ewok jotdiaeresis circlediaeresis paw composewith ring functioncomposition upon		https://help.dyalog.com/latest/#Language/Primitive%20Operators/Atop.htm
A⍱B	Logical NOR	Primitive	Dyadic Function		Boolean/Logical	peirce'sarrow quine'sdagger ampheck neithernor jointdenial Xpq ⊽ neither-nor gate †	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAzB@FHvRiANYhn@/w8A	https://help.dyalog.com/latest/#Language/Symbols/Nor%20Symbol.htm
A⍲B	Logical NAND	Primitive	Dyadic Function		Boolean/Logical	shefferstroke notand andtilde carettilde alternativedenial Dpq ⊼ gate	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAzB@FHvJiANYhn@/w8A	https://help.dyalog.com/latest/#Language/Symbols/Nand%20Symbol.htm
,Y	Ravel: Reshape into a vector	Primitive	Monadic Function		Structural	comma flattening flattened flatten() raze razing list array	https://tio.run/##SyzI0U2pTMzJT///P7k0KVXhUdsEBSMQfNS75VHvZguuR31TQWI6CiDp//8B	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Ravel.htm
X,Y	Catenate: Join along last axis	Primitive	Dyadic Function		Structural	comma concatenate juxtapose horizontally dimension row-wise rowwise by connect join	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYwUjBV0FEwUTBXM/v8HAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Catenate%20Laminate.htm
Xm,Ys	Append scalar to each row of matrix	Primitive	Dyadic Function		Structural	extend with next merge join concatenate rows table connect	https://tio.run/##SyzI0U2pTMzJT///P7k0KVXhUdsEBSMFo0e9Wx71bjbhetQ3FSQCltJRsLT8/x8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Catenate%20Laminate.htm
Xm,Yv	Append elements of vector to respective rows of matrix	Primitive	Dyadic Function		Structural	extend with next merge join concatenate table list connect	https://tio.run/##SyzI0U2pTMzJT///P7k0KVXhUdsEBSMFo0e9Wx71bjbhetQ3FSQCltJRMFCwtPz/HwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Catenate%20Laminate.htm
⍪Y	Table: Reshape into 2-dimensional array	Primitive	Monadic Function		Structural	commabar ravelcells flattencells flattening razecells	https://tio.run/##SyzI0U2pTMzJT///P6OyILUouTQpVeFR2wQFIwh81LvlUe9mQzOuR31TQcKPelcpwBX@/w8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Table.htm
⍪Y	Ravel planes of rank 3 array Y to form rows of a matrix	Primitive	Monadic Function		Structural	matrices layers Merge demoterank lessenrank reduce flattening flattened reducing table	https://tio.run/##SyzI0U2pTMzJT///P7k0KVXhUdsEBSMQfNS75VHvZguuR31TQWKPelcpgBT8/w8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Table.htm
⍪Yv	Reshaping vector Yv into a one-column matrix	Primitive	Monadic Function		Structural	1-column table list	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9a5SMFIwVjD5/x8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Table.htm
X⍪Y	Catenate First: Join along leading axis	Primitive	Dyadic Function		Structural	commabar concatenate over ontop atop vertically stack X,[1]Y dimension column-wise columnwise start beginning connect join	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFIwXjR71bHvVuNuN61DcVJAKW6V0Fov//BwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Catenate%20First.htm
Xm⍪Ys	Append scalar to each column of matrix	Primitive	Dyadic Function		Structural	vertically ontop atop extend with over merge join concatenate columns table	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFIwXjR71bHvVuNuN61DcVJAKW6V2lYPD/PwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Catenate%20First.htm
Xm⍪Yv	Append elements of vector to respective columns of matrix	Primitive	Dyadic Function		Structural	vertically ontop atop extend with over merge join concatenate table list	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFIwXjR71bHvVuNuN61DcVJAKW6V2lYK5goWD5/z8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Catenate%20First.htm
⊃Y	First item of Y	Primitive	Monadic Function		Selection	disclose rightshoe unbox open contentof Y[1] X[1] element cell 1st	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQedTUrqIfnF6Wo//8PAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Disclose.htm
Iv⊃Y	Reach into Y along path given by Iv	Primitive	Dyadic Function		Selection	rightshoe pickfrom selectfrom getting picking indexing selecting major minor cells	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFR51NSuoh@cXpahzQcWMwGIahgpGmhrGCiYKppoIGUMMuf//AQ	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Pick.htm
⊂Y	Enclose: Scalar containing Y	Primitive	Monadic Function		Structural	leftshoe boxing scalarise scalarize enclosing	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMNYwUjDW5oLxHXU2YIgjB//8B	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Enclose.htm
Av⊂Y	Partitioned enclose of Y according to Av (along last axis) beginning enclosures on 1s	Primitive	Dyadic Function		Selection	chop split cut separate chunk sub-vectors segmented sub-lists subvectors sublists dimension separated separator delimiter	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAzB@FFXE5A0UjBWMPn/HwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Partitioned%20Enclose.htm
⊆Y	Nest: Y if already nested, else scalar containing Y	Primitive	Monadic Function		Structural	⎕U2286 leftshoeunderbar encloseifsimple conditionalenclose boxsimple eis condenclose	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUSzIyi9W5oLxHXW1oIhAeiEoswaIMKvH/PwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Nest.htm
Mv⊆Y	Partition Y according to Mv (along last axis) beginning partitions on increases	Primitive	Dyadic Function		Selection	⎕U2286 chop split cut separate chunk dimension segments	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFQyA0BAIH3W1AUkjBWMFEwVTLrg0SAgEQdKPejeb/v8PAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Partition.htm
⌷Y	Materialise items of Y in workspace	Primitive	Monadic Function		Identity	squishquad squad materialize defaultproperty elements identify .net unpack collection cells	https://tio.run/##SyzI0U2pTMzJT///38o5J7G4WCEgtag4P49LAQisAoryC1KLSioVUlLTEktzShTSSnNy/BJzUyHSjsnJqUAdBaVJOZnJCsUZiUWpKWAZEHjU0a5QklpR8qhtgntqCVxYASao7lupALQxTx1ZB8Rc17wUmM1cIA7YYVyP@qa6eUYAyeAgZ5grQYJAs2BcKO9Rz3aoyP//AA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Materialise.htm
Iv⌷Y	Index Y using indices Iv	Primitive	Dyadic Function		Selection	squishquad squad indexinto selectfrom getting picking indexing selecting major minor cells	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWTR71bHvVuNjTietQ3FSRkBBR81LNdAagEIQQV@P8fAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Index%20with%20Axes.htm
⍳Js	Integers from 1 to Js	Primitive	Monadic Function		Index Generation	iota unsigned integers ints countto sequence numbers range ɩ ι positions locations 1…Js 1...Js	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9W5WMDT4/x8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Index%20Generator.htm
⍳Jv	Indices of all items of array of shape Jv	Primitive	Monadic Function		Index Generation	iota sequence seq() ɩ ι positions locations cells elements naturals numbers upto untill	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9W5WMFIw/v8fAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Index%20Generator.htm
X⍳Y	Index of: First indices in X of major cells Y	Primitive	Dyadic Function		Index Generation	iota firstindexin firstindexof ɩ ι findingfirst locatingfirst locatefirst firstpositionof 1st items elements firstlocation searching	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUHZ2cXUDY1U1d4VHvZqCAs5s6V25iiQJI2ljB6FHvFqC4GRdUA1gGqM5Uwez/fwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Index%20Of.htm
Xv⍳Y	Index of keys Y in key vector Xv	Primitive	Dyadic Function		Index Generation	find locate positionof locating location list	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUHZNS1RXUnfKTgKRzYlGOusKj3s0wAZDk//8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Index%20Of.htm
∊Y	Enlist: Simple vector from elements of Y	Primitive	Monadic Function		Structural	flattening flattened raze razing ϵ ε ∈ flatten() cells items join vector character vectors strings	https://tio.run/##SyzI0U2pTMzJT///Pzex5FHbBAUjBeNHvVse9W4243rUNxUo8qijS8FAASiroGGuYKGpYIkkDlFsqKCemJSs/v8/AA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Enlist.htm
X∊Y	For each item of X, 1 if found in Y, else 0	Primitive	Dyadic Function		Sets	testif epsilon isin membership containedin has ϵ ε ∈ memberof elementof cell searching	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtE9QTk5LVFUwUHnV0AUkgTx1EJKeoc@UmlgDlFYwUjB/1bnnUu9mMC6IDKA5WbQaUMlcw@f8fAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Membership.htm
⍸B	Indices of all 1s in B	Primitive	Monadic Function		Index Generation	⎕U2378 wheretrues iotaunderbar locationsoftrues positions ones trues truths	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9e5QMFQwAEJDBUOupNzEEpCokYLxo94tBmAZMOZCUg5S9P8/AA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Where.htm
⍸Bm	List of arcs from adjacency matrix Bm	Primitive	Monadic Function		Mathematical	⎕U2378 connections table directed graph vector	https://tio.run/##SyzI0U2pTMzJT///PzE3sUThUdsEBWMF40e9WwwUDBUMwNAQDA24HvVNBUk/6t2hAFL7/z8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Where.htm
X⍸Y	Indices of major cells of Y in left-inclusive intervals with cut-offs X	Primitive	Dyadic Function		Index Generation	⎕U2378 right-exclusive intervalindex iotaunderbar bins binary search groups ranges buckets classes classifying classification items elements [a,b) [a,b[ ⍺≤x<b	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUHV09/UPVFR717lBQd4l09PF3V@eCyhkpmCiYgWUMgWxjIM8UyDfnyk0sAUobKxg96t3yqHezGUw9UBys2ljBGFPI5P9/AA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Interval%20Index.htm
∪Y	Unique: Distinct major cells of Y	Primitive	Monadic Function		Sets	cup downshoe distinctitems uniqueelements nub eraseremoveduplicates repetitions items elements	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQedaxSUE9MUldQT0pUh7AMgdCIKzexBChvpGD8qHeLelpOZXFGJZBU50LSB1Ty/z8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Unique.htm
Xv∪Yv	Union: Xv,Yv~Xv	Primitive	Dyadic Function		Sets	cup downshoe setor	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUE5PUFdSTU1KBZFq6usKjjlVAMXWw@P//AA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Union.htm
Xv∩Yv	Intersection: (Xv∊Yv)/Xv	Primitive	Dyadic Function		Sets	cap upshoe setand	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMjBTUE5PUFdTT0tUVHnWsBPLUISJGRv//AwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Intersection.htm
X f⍣g Y	Power: iterating X∘f on Y until condition (f Y) g Y is true	Primitive	Dyadic Function	Dyadic Operator	Iteration	kiss apply application poweroperator stardiaeresis powerlimit fixedpoint repeatedly fixpoint converge while repeating looping iterate	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFbQfdcw4vP1R72JbBcP//wE	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Power%20Operator.htm
f⍣g Y	Power: iterating f on Y until condition (f Y) g Y is true	Primitive	Monadic Function	Dyadic Operator	Iteration	kiss apply application poweroperator stardiaeresis powerlimit fixedpoint repeatedly fixpoint converge while repeating looping iterate	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMH3XM0Abiw9sf9S62VTD8/x8A	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Power%20Operator.htm
⍋Y	Ascending grade: Indices to reorder Y into ascending order	Primitive	Monadic Function		Index Generation	sortperm() argsort() princessleiaorgana word index representation upgrade gradeup deltastile pine concordetakingoff increasing	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9XYrGBsrGBoqmJgomJkpGBlx5SXmphYrgCTVvfJT1RXUg0vBZGKuOldiOlTK2ASoVMHIlAtqDlhTNNA0kIpYLiTT1R2dnNUVgAJ@oT4@QJE1CofWG2eZAMXV//8HAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Grade%20Up%20Monadic.htm
⍋Jv	Invert permutation	Primitive	Monadic Function		Index Generation	invperm() princessleiaorgana word index representation upgrade deltastile upgrade pine concordetakingoff	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9XYrGCmYKhgqGCuYcCEEUcQVgCJzFTLzylKLShSSEpOzFRLTEzPz/v8HAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Grade%20Up%20Monadic.htm
C⍋D	Ascending grade using collation sequence C	Primitive	Dyadic Function		Index Generation	princessleiaorgana word index representation upgrade gradeup deltastile pine concordetakingoff customsortorder customalphabet case-insensitive caseinsensitive	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9XYrqDsl5gGhOhdUDMaPRpaMhcsm5qnj14ahIvb/fwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Grade%20Up%20Dyadic.htm
⍒Y	Descending grade: Indices to reorder Y into descending order	Primitive	Monadic Function		Index Generation	sortperm() argsort() word index representation downgrade gradedown delstile spine concordelanding decreasing	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9U5SMDZWMDRUMDFRMDNTMDLiykvMTS1WAEmqe@WnqiuoB5eCycRcda7EdKiUsQlQqYKRKRfUHLCmaKBpIBWxXEimqzs6OasrAAX8Qn18gCJrFA6tN84yAYqr//8PAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Grade%20Down%20Monadic.htm
C⍒D	Descending grade using collation sequence C	Primitive	Dyadic Function		Index Generation	word index representation downgrade gradedown delstile spine concordelanding customsortorder customalphabet case-insensitive caseinsensitive	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9U5SUHdKzANCdS6oGIwfjSwZC5dNzFPHrw1DRez//wA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Grade%20Down%20Dyadic.htm
Iv\Y	Expand last axis of Y	Primitive	Dyadic Function		Selection	reversesolidus slope dimension	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFQ6tN1IwUYhRMFew4IIKGioYQHGMgrpHYon6//8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Expand.htm
f\Y	Scan: f between items of Y in progressively longer vectors along last axis	Primitive	Monadic Function	Monadic Operator	Function Application	backslash slope cumulativereduce rowwise scanning cells elements dimension row-wise horizontally lists	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExS0YxQMFYwUjBVMFEy5chNLQGJAzqPeLYZA2kzB0EDBVMHQUMHQQsHITMFSwdBSwdhAwcSIC6EfqOv/fwA	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Scan.htm
Iv⍀Y	Expand leading axis of Y	Primitive	Dyadic Function		Selection	reversesolidusbar slopebar Iv\[1] dimension start beginning	https://tio.run/##SyzI0U2pTMzJT///Pzex5FHbBGMFk0e9Wx71bjY04nrUNxUoomCoYKBgBCQf9TYoABX9/w8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Expand.htm
f⍀Y	Scan First: f between items of Y in progressively longer vectors along first axis	Primitive	Monadic Function	Monadic Operator	Function Application	slopebar backslashbar reversesolidusbar scanfirst cumulativereducefirst columnwise f\[1] scanning major cells rows elements dimension 1st column-wise vertically lists	https://tio.run/##SyzI0U2pTMzJT///Pzex5FHbBGMFk0e9Wx71bjY04nrUNxUooqD9qLdBASj7/z8A	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Scan%20First.htm
⍉Y	Transpose: Reverse order of axes of Y	Primitive	Monadic Function		Structural	circlebackslash cant reverseaxes ^T ⸆ ᵀ reordering ordering reversing dimensions	https://tio.run/##SyzI0U2pTMzJT///Pzex5FHbBCMFYwWTR71bHvVuNjLhetQ3FSim8Ki3UwEo/f8/AA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Transpose%20Monadic.htm
⍉Ym	Reflect diagonally	Primitive	Monadic Function		Structural	mirroring reflecting reflection mirror across tip	https://tio.run/##SyzI0U2pTMzJT///Pzex5FHbBCMF40e9Wx71bjbjetQ3FSig8Ki3UwEo9/8/AA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Transpose%20Monadic.htm
Iv⍉Y	Reorder the axes of Y	Primitive	Dyadic Function		Structural	circlebackslash diagonal reorderaxes reordering dimensions shuffle slice shuffling slicing	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFIwVjBZNHvVse9W42MuF61DcVJGgIFDRSeNTbqQBU9v8/AA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Transpose%20Dyadic.htm
X f⌸Y	Key: f between unique X values and their corresponding items of Y	Primitive	Dyadic Function	Monadic Operator	Sets	⎕U2338 keys equalquad quadequal groups grouped classify bins buckets major cells rows elements	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUnRLzgFBdofpR7y6FR71bax/17FAwVjBUMAFiUwVLLqhCXV1dLmx6dLT1ydAFt8lQwQiozwSox@z/fwA	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Key.htm
f⌸Y	Key: f between unique Y values and their first-axis indices	Primitive	Monadic Function	Monadic Operator	Sets	⎕U2338 keys equalquad quadequal groups grouped classify bins buckets major cells rows elements locations	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSqH/XuUnjUu7X2Uc8OBXWnxDwgVP//HwA	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Key.htm
X⍷Y	Boolean indication of top left corner of occurrences of entire array X within Y	Primitive	Dyadic Function		Sets	findin epsilonunderbar search locate subarray sub-array sub-vector subvector subsequence sub-sequence sub-string substring sub-list sublist locating location binary base-2 base2	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUE/MS1RUe9W5XUHcCMoGc//8B	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Find.htm
X f.g Y	Inner Product: f / g between trailing vectors of X and leading vectors of Y	Primitive	Monadic Function	Dyadic Operator	Mathematical	small little tiny dotproduct innerproduct crossproduct vectorproduct period fullstop lists start beginning ending	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYwUjBW09Q5PVzBRMFUw44KKGys86liuZwukwZArN7FEASRupGD0qHfLo97NJjCVIBmwfiDj/38A	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Inner%20Product.htm
M⊥N	Decode: Evaluate N in number system M	Primitive	Dyadic Function		Mathematical	frombase decoding uptack pack frommixedradix fromradix basevalue base-value conversion converting change changing	https://tio.run/##NYxBCsIwEEX3nuIfQCGW0IW3iZ1RA3VGklbaC7gQFDcuXXqxXCSmSP6fD3/x5rtLv6HZ9XrMOT3f6fZCg3T/YltsSqrS44O9FxdmEHdKvKq4RWuWW74a2BbW/PGzn5gQHPlph07lyiF6FegBJx1DXBdCxoEjnBBiWRWKGLTWnH8	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Decode.htm
Ns⊥N	Value of polynomial with descending coefficients N at point Ns	Primitive	Dyadic Function		Mathematical	decoding uptack	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFR51LVUwVDBQMFNQeNQ7VyFNw1hTIS2/CMio0FSwVTCsOLRJQVvBoOLQTiBlVvGocQNQFCJo9v8/AA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Decode.htm
M⊤N	Encoding value N in number system M	Primitive	Dyadic Function		Mathematical	antibase tobase encode downtack representation unpack tomixedradix toradix conversion inversebase converting change changing	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMoPBR1xIFUwVzBUMjBYVHvXMVkjLzEosqFVLzkvNTUrlgik0UzAxACKTa0AAIIIpzMytSUxSKElMyK6ygWhTy06AqilOT8/NSihVK8hUy8kuLinWAyvNKS1KLFRLzUmCy//8DAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Encode.htm
⌹Nm	Matrix inverse of Nm (square Nm)	Primitive	Monadic Function		Mathematical	domino quaddivide table inversion	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFIwWjR71bHvVuNuF61DcVJPKoZ6cCUPb/fwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Matrix%20Inverse.htm
⌹Nm	Matrix pseudo-inverse of Nm (over-determined Nm)	Primitive	Monadic Function		Mathematical	domino quaddivide leastsquares table pseudoinversion	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWjR71bDBWMFAwUQKQJ16O@qSCJRz07FYCK/v8HAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Matrix%20Inverse.htm
Mv⌹Nm	Solve equation system with variable coefficients Nm and values Mv	Primitive	Dyadic Function		Mathematical	domino matrixdivide quaddivide linear equations	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFIwWjR71bHvVuNuF61DcVJGKqYKbwqGenAlDF//8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Matrix%20Divide.htm
Mm⌹Nm	Multiplying Mm with inversed Nm	Primitive	Dyadic Function		Mathematical	domino matrixdivide quaddivide	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFIwWjR71bHvVuNuF61DcVJAKW6dkJov//BwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Matrix%20Divide.htm
⍎Dv	Execute: Result of expression Dv	Primitive	Monadic Function		Data Conversion	eval() evaluate uptackjot hydrant apl compute numbers atoi() run call parseexpression dyalog converting change changing	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9fYpqBtqG6pzhSmA@IYKRgrGXMiSYer//wMA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Execute.htm
X⍎Dv	Execute Dv within namespace X (name or reference)	Primitive	Dyadic Function		Data Conversion	eval() evaluatein uptackjot hydrant apl compute numbers atoi() run call inside dyalog converting change changing	https://tio.run/##SyzI0U2pTMzJT///Xz2vWF3hUd9Uv2CFR71ruPKK9RIVHrVNUDACMZPATGMuoDyIAVHb26egnqidpP7/PwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Execute.htm
⍕Y	Format: Character representation of Y	Primitive	Monadic Function		Data Conversion	downtackjot radish thorn itoa tostringify() into totext() tostring() numbers numerics ⎕fmt ⎕df converting change changing	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9exVMDRSMDbhQhJ41DsVIvj/PwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Format%20Monadic.htm
Iv⍕Y	Format Y using ({width}, decimals) pairs Iv (negative decimals for scaled notation)	Primitive	Dyadic Function		Data Conversion	downtackjot radish thorn itoa tostringify() into totext() tostring() numbers numerics representation round ⎕fmt converting change changing scientific mantissa mantEexp aEb xEy mEj	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFB71TlUw1jM0MlUw0DMwMOKCSpgRljI0MjZRgIFHvXMVNNIyU3NSFPLySxTKM1NSFVLz8kvTMzRh@g6txzDy/38A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Format%20Dyadic.htm
X f&Y	Spawn: f between X and Y in a new thread	Primitive	Monadic Function	Monadic Operator	System	asynchronous async-function ampersand greenthreading launch run	https://tio.run/##bY69DoJAEIR7n2IrrxCN@NNYEytja305ViCBW3IcUWJs7TA2lj6GjY9zL3JygiZGp9vsfDPD83QYVjylyNoAU16Z0@Vg6ofHIHQnhgvmmfM1WIGp70doZOpb@4NtKYVOSPYaQ8MBW@MOdKyQO4otidgrs@9/UaRgPJpDgYJkWLzhyWAKM/gvB@MeRakRCspQx4mMIJEgSqVQ6q60i2IbnujPbL@p@glzG1oGfNAEgrI8RY3WPgE	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Spawn.htm
f&Y	Spawn: f on Y in a new thread	Primitive	Dyadic Function	Monadic Operator	System	asynchronous async-function ampersand et and greenthreading launch run	https://tio.run/##ZY47DsIwEER7TrEVLviI8GmoUyJaastekkiOHTkbQYRo6UA0lByDC@Uixg4BgdhitdLsmxleqJGsuTKJczEqXjen64G1F8olGzaXW7yC5vw4gt93kEGBbaUFZUb3vOwBYGvcAaUWeWBauh/9AMbCZLyAEoXRsnxz08EM5vA3gcM9iooQSpMjpZlOINMgKmtRUxfVubANz@hTNfIp3z4h@fUOEZABYfJCIaFzTw	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Spawn.htm
Ns⌶Y	I-beam: Call experimental system-related monadic function Ns	Primitive	Monadic Function	Monadic Operator	System	ibeam systemservice special foreign dyalog I-beam	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTMjS0f9WxTMFBQeNQ7V0EpJDW3IL8osahSwSWzKDW5JL@oUun/fwA	https://help.dyalog.com/latest/#Language/Primitive%20Operators/I%20Beam.htm
name f←Y	Modified Assignment (tradfns/tradops only)	Primitive	Dyadic Function	Monadic Operator	Expression	leftarrow gets is copula let redefine naming denotes means inplace update	https://tio.run/##SyzI0U2pTMzJT///vyyx6FHbBBMDLiBDG8gy4nrUNxVIA7n//wMA	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Assignment%20Modified.htm
name←Y	Assignment	Primitive	Dyadic Function		Expression	leftarrow gets is copula let define naming denotes means	https://tio.run/##SyzI0U2pTMzJT///vyyx6FHbBBMjrkd9U4EMIPf/fwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Assignment.htm
∇	Dfn Self	Primitive	Ambivalent Monadic Function, Dyadic Function		Expression	del recurse triangledown downtriangle carrot selfreference self-reference recursion recurse recursing	https://tio.run/##SyzI0U2pTMzJT///3y0xueRR24RqBWTwqHeuAkgivygzMQfI26rHBRHe@qhziaGVgiGKyuLcxBywKiuFtMy8zOKM1BSY8sPTH3W0gxi6hsg68ksyUovKM4tTrRSKUpNLi4pTuWq5HvVNBToEZK2C6f//AA	https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/DynamicFunctions/Recursion.htm
→	Abort (cut stack back one frame)	Primitive	Monadic Function		Expression	rightarrow stop	https://tio.run/##SyzI0U2pTMzJT/8PBI862hXc8vO5FBQe9U191DZB3c1QHcRpm4QkZKTOBVQHwgpFQAF3ZPXuYPUoRrhD1QPVAQA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Branch.htm
→0	Return: Leave function and return to caller	Primitive	Niladic Function		Expression	rightarrow :Return early from tradfn	https://tio.run/##SyzI0U2pTMzJT/8PBI862hXc8vO5FBQe9U191DZB3c1QHcRpm2SAJGakzgVUCMIKRUABd2QN7mANKGa4Q9UD1QEA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Branch.htm
→Jv	Branch to first line or label in Jv (does nothing if Jv is empty)	Primitive	Niladic Function		Expression	rightarrow :goto switch 1st	https://tio.run/##SyzI0U2pTMzJT/8PBI862hXc8vO5FBQe9U191DZB3c1QHcRpmxTs7RmAJGwEFAYJWSGJGatzAfVzAfUDAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Branch.htm
⍵	Dfn/dop Right Argument	Primitive	Array		Expression	omega rightarg ω ꞷ rarg	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtE4wUqh/1btU2rFUw/f8fAA	https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/DynamicFunctions/Dynamic%20Functions%20and%20Operators.htm
⍺	Dfn/dop Left Argument	Primitive	Array		Expression	alpha leftarg α ɑ alfa larg	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtE4wUqh/17tI2rFUw/f8fAA	https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/DynamicFunctions/Dynamic%20Functions%20and%20Operators.htm
Z f⍨X,Y	Avoiding parentheses by swapping arguments in (X,Y) f Z	Primitive	Dyadic Function	Monadic Operator	Function Application	commute switch tildediaeresis frown flip parenthesis	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtE4wVdB/1rlAwNDg83ej/fwA	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Commute.htm
X∘.g Y	Outer Product: g between each item of X and every item of Y	Primitive	Monadic Function	Dyadic Operator	Mathematical	jotdot outerproduct table cartesianproduct allcombinationsof matrix cell element pair up	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYwUjBUedczQOzxdwUTBVMFMwfz/fwA	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Outer%20Product.htm
expr⊣name←Y	Combining two lines into one	Primitive			Identity	lev lefttack where	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTKEosOT3/Uu9lE4VHXYhAPKGho8P8/AA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Left.htm
∇∇	Dop Self	Primitive	Ambivalent Monadic Function, Dyadic Function	Monadic Operator;Dyadic Operator	Expression	deldel recurse triangledown downtriangle carrot selfreference self-reference recursion recurse recursing	https://tio.run/##SyzI0U2pTMzJT///Pz4gv/xR24RqBVTwqHeuQkF@eWqRQn5BalFiSX6RlUJiQUFOJVBmKxAplGTmphZzQZSCBGwNrEDCqCZA1WYWKxhYKaRl5mUWZ6SmQDXtAiKFRx3tQKQBUadrqAkTBpkEMiC/JCO1qDyzONVKoSg1ubSoOJWrlutR31SgixU0qg21gQprFUBeUDDWVDD9/x8A	https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/DynamicFunctions/Recursion.htm
↑Xv Yv …	N-row matrix from N vectors	Primitive	Monadic Function		Structural	rows table lists	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQetU1UUA/JTFYHkolgMj9V/f9/AA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Mix.htm
⍵⍵	Dop Right Operand	Primitive	Array, Monadic Function, Dyadic Function		Expression	omega rightop	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtE4wVtKsf9e5SeNS7FYhAVO3h6Qom//8DAA	https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/DynamicFunctions/Dynamic%20Operators.htm
⍺⍺	Dop Left Operand	Primitive	Array, Monadic Function, Dyadic Function		Expression	alpha leftop	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtE4wVtKsf9e5SAGIItbVWweT/fwA	https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/DynamicFunctions/Dynamic%20Operators.htm
⌽[ax]Y	Reverse axis ax of Y	Primitive	Monadic Function		Structural	circlestile reversing dimension	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWTR71bHvVuNjTietQ3FST0qGdvtGGsAlDF//8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Reverse.htm
I⌽[ax]Y	Rotate vectors along axis ax of Y	Primitive	Dyadic Function		Structural	circlestile rotating shifting cyclically dimension lists	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWTR71bHvVuNjTietQ3FSRkoGCoYKRwaL2hwqOevdGGsQpAtf//AwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Rotate.htm
↓[ax]Y	Split: Nest sub-arrays (from axis ax)	Primitive	Monadic Function		Structural	downarrow subarray dimension	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWTR71bHvVuNjTietQ3FST0qG1ytGGsAlDF//8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Split.htm
Iv↓[ax]Y	Drop Iv items along axes ax of Y	Primitive	Dyadic Function		Selection	downarrow split remove trim cut cells elements dimensions delete without removing erasing erase eliminate eliminating deleting	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWTR71bHvVuNjTietQ3FSRkCJSYHG0UqwBU8/8/AA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Drop%20with%20Axes.htm
↑[ax]Y	Mix: Remove nesting (adding axes between ⌊ax and ⌈ax)	Primitive	Monadic Function		Structural	uparrow axis dimensions delete drop without removing erasing erase eliminate eliminating deleting	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQetU2MNtAzjVVQ98gsUAeS@QXq//8DAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Mix.htm
Iv↑[ax]Y	Take Iv items along axes ax of Y	Primitive	Dyadic Function		Selection	uparrow first last beginning leading trailing head tail cells elements dimensions 1st start ending	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWTR71bHvVuNjTietQ3FSRkCJSYGG0UqwBU8/8/AA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Take%20with%20Axes.htm
Is f/[ax]Y	N-wise Reduce: f between all items of Y in groups of Is on axis ax	Primitive	Dyadic Function	Monadic Operator	Function Application	sliding reductions right slashbar reducing major cells rows elements dimension windowed windows moving	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWTR71bHvVuNjTietQ3FSSk/ahnvwJQ/v9/AA	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Reduce%20First%20N%20Wise.htm
Iv/[ax]Y	Replicate along axis ax	Primitive	Dyadic Function		Selection	compress slash solidus filter copy repeat dimension	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWTR71bHvVuNjTietQ3FSRkpGCgYKigH20YqwBU9f8/AA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Replicate.htm
f/[ax]Y	Reduce: f between all items of Y on axis ax	Primitive	Monadic Function	Monadic Operator	Function Application	slash insert solidus over reducing folding cells elements dimension	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWTR71bHvVuNjTietQ3FSSkrR9tGKsAVPD/PwA	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Reduce.htm
,[ax]Y	Ravel with Axis: insert new axis between ⌊ax and ⌈ax	Primitive	Monadic Function		Structural	increaserank expandrank comma addaxis dimension	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExR0og31TGMV1N3y89X//wcA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Ravel%20with%20Axes.htm
,[ax]Y	Ravel with Axes: combine axes	Primitive	Monadic Function		Structural	decreaserank reducerank comma removeaxes removeaxis dimensions	https://tio.run/##SyzI0U2pTMzJT///P7k0KVXhUdsEBSMQfNS75VHvZguuR31TQWI60UYKxrEKIDX//wMA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Ravel%20with%20Axes.htm
X,[ax]Y	Laminate: Join along new axis	Primitive	Dyadic Function		Structural	comma combine juxtapose dimension	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYwUjBV0og30TGMVTBRMFcz@/wcA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Catenate%20Laminate.htm
⊂[ax]Y	Enclose: Contain axes ax inside scalars	Primitive	Monadic Function		Structural	leftshoe boxing scalarise scalarize axis enclosing dimensions	https://tio.run/##SyzI0U2pTMzJT///P7k0KVXhUdsEBSMQfNS75VHvZguuR31TQWKPupqijRSMYxVAqv7/BwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Enclose%20with%20Axes.htm
Av⊂[ax]Y	Partitioned enclose of Y according to Av (along axis ax)	Primitive	Dyadic Function		Selection	chop split cut separate chunk sub-vectors segmented sub-lists subvectors sublists dimension separated separator delimiter	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWjR71bHvVuNuN61DcVJGKoYADEj7qaog1jFYDK/v8HAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Partitioned%20Enclose.htm
Mv⊆[ax]Y	Partition Y according to Mv (along axis ax)	Primitive	Dyadic Function		Selection	chop split cut separate chunk dimension segments partitions	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWjR71bHvVuNuN61DcVJGIIhEYKj7raog1jFYDK/v8HAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Partition.htm
Iv⌷[ax]Y	Index Y using indices Iv along axes ax	Primitive	Dyadic Function		Selection	squishquad squad indexinto selectfrom dimensions	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWjR71bHvVuNuN61DcVJGKk8Khne7RRrAJQyf//AA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Index%20with%20Axes.htm
Iv\[ax]Y	Expand axis ax of Y	Primitive	Dyadic Function		Selection	reversesolidus slope dimension	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWjR71bHvVuNuN61DcVJGKoYADEhgox0YaxCkBl//8DAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Expand.htm
f\[ax]Y	Scan: f between items of Y in progressively longer vectors along axis ax	Primitive	Monadic Function	Monadic Operator	Function Application	backslash slope cumulativereduce rowwise scanning cells elements dimension row-wise horizontally lists	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWjR71bHvVuNuN61DcVJKIdE20YqwCU//8fAA	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Scan.htm
name[I]←Y	Indexed Assignment	Primitive	Dyadic Function		Expression	leftarrow gets is copula let define naming denotes means	https://tio.run/##SyzI0U2pTMzJT///vyyx6FHbBBMjrkd9U4EMIPf/fwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Assignment%20Indexed.htm
name[I]f←Y	Modified Indexed Assignment (tradfns/tradops only)	Primitive	Dyadic Function	Monadic Operator	Expression	leftarrow gets is copula let redefine naming denotes means inplace update	https://tio.run/##SyzI0U2pTMzJT///vyyx6FHbBCMDBWMDBRMDLiA32lDBUME4VhskzPWobyqQBor@/w8A	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Assignment%20Indexed%20Modified.htm
X(Y⍨)Z	Constant (K-combinator): ignore arguments and return Y	Primitive	Monadic Function	Monadic Operator	Structural	Kestrel-bird tildediaeresis frown replace		https://help.dyalog.com/latest/#Language/Primitive%20Operators/Constant.htm
(f∘Y)Z	Curry: f between Z and Y, that is, Z f Y	Primitive	Monadic Function	Dyadic Operator	Composition	small little tiny jot composewith bind ring value to partially apply application rightargument makemonadic	https://tio.run/##SyzI0U2pTMzJT///v6AotUzhUdsEBd1HHTMMuR71TQVxwKJGxlzFhUUlYFktoKyBnilMHiwOJgzNFCwM//8HAA	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Bind.htm
X(f⍤Is Js)Y	Rank: f between every trailing rank-Is subarray of X and every trailing rank-Js subarray of Y	Primitive	Dyadic Function	Dyadic Operator	Function Application	pout ewok jotdiaeresis ö paw sub-arrays subarrays dimensions axes ending	https://tio.run/##SyzI0U2pTMzJT///Py83sUThUdsEBWMFk0e9Wx71bjY0UkACj3rnKuSV5qYWZSYrAJUWZVZwPeqbCtJgaKBgZKBgbKCgof2od4mBgqGmAtgwsJbi5MScxKJihYKc0mKFstTkkvyi4v//AQ	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Rank.htm
(f⍤Js)Y	Rank: f on every trailing rank-Js subarray of Y	Primitive	Monadic Function	Dyadic Operator	Function Application	pout ewok jotdiaeresis ö paw sub-arrays subarrays dimensions axes ending	https://tio.run/##SyzI0U2pTMzJT///P7k0KVXhUdsEBSMgNH7Uu@VR72ZDI65HfVNBgho6j3qXGGkqgFRxJecmlkCVghSqJyYlV1VUqisoPOqdq5CckViUmFySWqQAVFWUWQE34VFvN9AMQ6AZIO1QANKRXpSYkqpbWqCQVKlQlF/@/z8A	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Rank.htm
X@{B}Y	Unpack a vector X into an array based on mask B	Primitive	Monadic Function	Dyadic Operator	Structural	list indicate masking indicating bitmask bit-mask	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtE9QjIqPUHaoNFAyB0AAIDWsV1BOTklNS09T//wcA	https://help.dyalog.com/latest/#Language/Primitive%20Operators/At.htm
X(f@N)Y	At: apply X∘f to modify positions N in Y	Primitive	Dyadic Function	Dyadic Operator	Function Application	substitute merge amend replace update	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMDRQ0Dk93MFIw0VQwVDBSMFYwUTD9/x8A	https://help.dyalog.com/latest/#Language/Primitive%20Operators/At.htm
X(f@g)Y	At: apply X∘f to modify positions identified by Boolean mask (g Y) in Y	Primitive	Dyadic Function	Dyadic Operator	Function Application	substitute merge amend replace update indicate masking indicating binary base-2 base2 bitmask bit-mask	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMDRQ0Dk930HjUueRRxwxjTU0FYwVDBRMgNv3/HwA	https://help.dyalog.com/latest/#Language/Primitive%20Operators/At.htm
(X@N)Y	At: use values in X to replace positions N in Y	Primitive	Monadic Function	Dyadic Operator	Structural	substitute merge amend update	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0DByMFEw0FQwVjBSMFUwUTP//BwA	https://help.dyalog.com/latest/#Language/Primitive%20Operators/At.htm
(X@g)Y	At: use values in X to replace positions identified by Boolean mask (g Y) in Y	Primitive	Monadic Function	Dyadic Operator	Structural	substitute merge amend update indicate masking indicating binary base-2 base2 bitmask bit-mask	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUtdQdNIwedcyo0VQwVDBSMFYwUTBVUHjUO1fBKT8/JzUxT6E4NSc1uSQzPw@owACC//8HAA	https://help.dyalog.com/latest/#Language/Primitive%20Operators/At.htm
(Xv@Js)Ym	Amend row Is of matrix Ym	Primitive	Monadic Function	Dyadic Operator	Structural	substitute merge replace update table	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWjR71bHvVuNuN61DcVJKJhoWDpYKSpAFTx/z8A	https://help.dyalog.com/latest/#Language/Primitive%20Operators/At.htm
(f@N)Y	At: apply f to modify positions N in Y	Primitive	Monadic Function	Dyadic Operator	Function Application	amend update	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0Dm93MFIw0VQwVDBSMFYwUTD9/x8A	https://help.dyalog.com/latest/#Language/Primitive%20Operators/At.htm
(f@g)Y	At: apply f to modify positions identified by Boolean mask (g Y) in Y	Primitive	Monadic Function	Dyadic Operator	Function Application	amend update indicate masking indicating binary base-2 base2 bitmask bit-mask	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9ex10DB61DGjRlPBUMFIwVjBRMFUQeFR71yFoNSy1KLixByF/DSF4tIk3cSiosRKoCJjBdP//wE	https://help.dyalog.com/latest/#Language/Primitive%20Operators/At.htm
X(f⍣Js)Y	Power: apply X∘f on Y Js times	Primitive	Dyadic Function	Dyadic Operator	Iteration	kiss poweroperator stardiaeresis while until inverse inversion application repeatedly repeating inverting iterating looping iterate	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFTS0H/UuNtZUMP3/HwA	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Power%20Operator.htm
(f⍣Js)Y	Power: apply f on Y Js times	Primitive	Monadic Function	Dyadic Operator	Iteration	kiss application poweroperator stardiaeresis inverse repeatedly repeating inversion inverting iterating looping iterate	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0DB91zNB@1LvYWFPB9P9/AA	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Power%20Operator.htm
(f⌺Jm)Y	Stencil: f on padding-size and (possibly overlapping) rectangles of Y of size and (optionally step) Jm	Primitive	Monadic Function	Dyadic Operator	Function Application	⎕U233A chunking chopping cutting tiling tiles diamondquad quaddiamond tessellate tile cellularautomaton gameoflife vonneumann moore neighbourhoods neighborhoods neighbours neighbors sliding moving windows non-overlapping disjoint	https://tio.run/##SyzI0U2pTMzJT///Xz0ls7hA/VHfVOdI9ZS0vGJ1rtzEEoVHbRMUTBRMHvVuedS72dCMCygPEgKpVdCoftTV9Kh3a@2jnl3GCsaaCkANMAUa1dr6Omhy//8DAA	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Stencil.htm
X(Ns⌶)Y	I-beam: Call experimental system-related dyadic function Ns	Primitive	Dyadic Function	Monadic Operator	System	ibeam systemservice special foreign dyalog I-beam	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtE9QdA3zUNQzNFIzMFYwNNRU0LB71bNNUUA9wVNcAChmaaSooPOqdq6DkmVeWWlSSmqIQkpiUk6rgmZeSWqHgn6b0/z8A	https://help.dyalog.com/latest/#Language/Primitive%20Operators/I%20Beam.htm
X(f⍠Zv)Y	Variant: f qualified by Zv between X and Y	Primitive	Dyadic Function	Dyadic Operator	System	colonquad quadcolon options settings modes name-value pairs keywords arguments ⎕OPT ⎕U2360	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYAMr2B/PyDLSEHDWMFEkwsupQGTe9S7QN05P7cgMblE3UATofT/fwA	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Variant.htm
(f⍠Zv)Y	Variant: f qualified by Zv on Y	Primitive	Monadic Function	Dyadic Operator	System	colonquad quadcolon options settings modes name-value pairs keywords arguments ⎕OPT ⎕U2360	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ01BPVFYDsIAX1CiCjd4GCuqezuoKhpoK6oxOQARSaqwBSU5RakJOYnJqiUJ5ZkgFW7Jmel1@UmZeu4JxYnPr/PwA	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Variant.htm
(exp name)←Y	Selective Assignment: exp is an expression that selects elements of "name"	Primitive	Dyadic Function		Expression	leftarrow gets is copula let define naming denotes means	https://tio.run/##SyzI0U2pTMzJT///vyyx6FHbBBMjrkd9U4EMIPf/fwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Assignment%20Selective.htm
(exp name)f←Y	Modified Selective Assignment: exp is an expression that selects elements of "name" (tradfns/tradops only)	Primitive	Dyadic Function	Monadic Operator	Expression	leftarrow gets is copula let redefine naming denotes means inplace update	https://tio.run/##SyzI0U2pTMzJT///vyyx6FHbBCMDBWMDBRMDLg0jBQMFQ32gqKY2SJzrUd9UIA3k//8PAA	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Assignment%20Selective%20Modified.htm
name[I]f∘⊢←Y	Modified Indexed Assignment (also dfns/dops)	Primitive	Dyadic Function	Monadic Operator	Expression	leftarrow gets is copula let redefine naming denotes means inplace update	https://tio.run/##SyzI0U2pTMzJT///vyyx6FHbBCMDBWMDBRMDroKc0mIgX5urGigRbahgqGAcCxbrmPGoaxFIZe2j3jVcj/qmAtlAJf//AwA	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Assignment%20Indexed%20Modified.htm
(exp name)f∘⊢←Y	Modified Selective Assignment: exp is an expression that selects elements of "name" (also dfns/dops)	Primitive	Dyadic Function	Monadic Operator	Expression	leftarrow gets is copula let redefine naming denotes means inplace update	https://tio.run/##SyzI0U2pTMzJT///vyyx6FHbBCMDBWMDBRMDroKc0mIgX5urWsNIwUDBUB8orwkW7JjxqGsRSGnto941XI/6pgLZQMn//wE	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Assignment%20Selective%20Modified.htm
⎕NULL	The null item	System	Constant		System Function	void emptycell .net nil cell element	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAlLOvi4J6SmaRgr76//8A	https://help.dyalog.com/latest/#Language/System%20Functions/null.htm
⎕A	The letters from A to Z	System	Constant		System Function	abcdefghijklmnopqrstuvwxyz latinalphabet englishletters uppercase a-z ABCDEFGHIJKLMNOPQRSTUVWXYZ	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAlOP//wA	https://help.dyalog.com/latest/#Language/System%20Functions/a.htm
⎕C Y	Casefold	System	Monadic Function		Text	lettercase caseless case-fold caseinsensitive normalize normalise casemap change changing converting conversion string 819⌶		https://help.dyalog.com/latest/#Language/System%20Functions/c.htm?Highlight=%E2%8E%95C
⎕CLEAR	Clear the active workspace	System	Constant	System	System Function	new refresh empty # erase delete remove purge expunge reset all )clear drop without removing erasing eliminate eliminating deleting	https://tio.run/##SyzI0U2pTMzJT/8PBI/6pnr6Kzxqm6BgwJUIpg0VjBSMuZLAbPXEpGR1LqAaEAesFMZJVEgCMZ19XB2DuCAyQCEA	https://help.dyalog.com/latest/#Language/System%20Functions/clear.htm
⎕D	The digits from 0 to 9	System	Constant		System Function	123456789 numbers arabicnumerals 0-9 0123456789	https://tio.run/##SyzI0U2pTMzJT////1FHu0LRo7YJbvn5XAoKViFFiQUKBkAWCBzeDmJZuealgISBTJDCR31TXf24gNq4gCwgXwGo8/9/AA	https://help.dyalog.com/latest/#Language/System%20Functions/d.htm
⎕DMX	Namespace containing details of most recent error in current thread	System	Namespace	Error Message	System	diagnosticmessageextended information report event last previous	https://tio.run/##SyzI0U2pTMzJT/8PBI/6poYEOQY8aptgoO6qrqAO5Lv4RuhpuPopuPoq@KYWFyemp2qqcx3ebgAA	https://help.dyalog.com/latest/#Language/System%20Functions/dmx.htm
⎕EXCEPTION	Details of most recent .NET exception	System	Namespace	Error Message	System			https://help.dyalog.com/latest/#Language/System%20Functions/exception.htm
⎕KL Dv	Key Label: Key-press to invoke system action with code Dv (e.g. 'ED')	System	Function	System	System Function	activate run execute built-in keyboard shortcut		https://help.dyalog.com/latest/#Language/System%20Functions/kl.htm
⎕LOAD file	Load saved workspace	System	Monadic Function	File Access	System Function	open fetch get bringin )load	https://tio.run/##SyzI0U2pTMzJT///Xz0tMyfVUV3hUd9UN@cgV8cQVwUDLrCgE5ogkPOobQJYzMfTSUFdT/3/fwA	https://help.dyalog.com/latest/#Language/System%20Functions/load.htm
⎕OFF	Terminate the APL session	System	Constant	System	System Function	exit repl stop close )off quit	https://tio.run/##SyzI0U2pTMzJT/8PBI/6pvq7uXGVZGQWK5Tn56mXKKQWFeUXAQA	https://help.dyalog.com/latest/#Language/System%20Functions/off.htm
⎕OFF J	Terminate the APL session with exit code Y	System	Constant	System	System Function	repl return level stop close )off quit	https://tio.run/##SyzI0U2pTMzJT/8PBI/6pvq7uSkYGhlzlWRkFiuU5@eplyikFhXlFwEA	https://help.dyalog.com/latest/#Language/System%20Functions/off.htm
⎕SE	Session object	System	Namespace	System	System Function	environment gui persistent utilities	https://tio.run/##SyzI0U2pTMzJT////1FHu0LRo7YJafn5XApgVjqQBRTlgsmkw2Ue9U0N9gSJ//8PVA4A	https://help.dyalog.com/latest/#Language/System%20Functions/se.htm
1∘⎕C Y	Uppercase	System	Monadic Function		Text	casemap lettercase 1⎕C toupper upper-case conversion converting change changing string 1(819⌶)		https://help.dyalog.com/latest/#Language/System%20Functions/c.htm?Highlight=%E2%8E%95C
1∘⎕DT N	Convert (⎕TS-style) date-times to Dyalog date numbers	System	Monadic Function	Data Conversion	System Function	datetimes date-times DateToIDN		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
10∘⎕ATX Dv	Function result: 0:none or not a function, 1:normal, ¯1:shy	System	Monadic Function	System	System function			https://help.dyalog.com/latest/#Language/System%20Functions/atx.htm
10∘⎕DT N	Convert (⎕TS-style or Dyalog date number) date-times to J nanosecond time numbers	System	Monadic Function	Data Conversion	System Function	datetimes date-times		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
11∘⎕ATX Dv	Function valence: 0:niladic, 1:monadic, 2:dyadic, ¯2:ambival	System	Monadic Function	System	System function	arity		https://help.dyalog.com/latest/#Language/System%20Functions/atx.htm
11∘⎕DT N	Convert (⎕TS-style or Dyalog date number) date-times to Shakti K7 time numbers	System	Monadic Function	Data Conversion	System Function	datetimes date-times		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
12∘⎕ATX Dv	Operator valence: 0:not an operator, 1:monadic, 2:dyadic	System	Monadic Function	System	System function	arity		https://help.dyalog.com/latest/#Language/System%20Functions/atx.htm
12∘⎕DT N	Convert (⎕TS-style or Dyalog date number) date-times to JavaScript/D/Q time numbers	System	Monadic Function	Data Conversion	System Function	datetimes date-times		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
13∘⎕DT N	Convert (⎕TS-style or Dyalog date number) date-times to R chron format time numbers	System	Monadic Function	Data Conversion	System Function	datetimes date-times		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
14∘⎕DT N	Convert (⎕TS-style or Dyalog date number) date-times to Shakti K9 time numbers	System	Monadic Function	Data Conversion	System Function	datetimes date-times		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
2∘⎕DT N	Convert (⎕TS-style or Dyalog date number) date-times to Dyalog component file time numbers	System	Monadic Function	Data Conversion	System Function	datetimes date-times		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
20∘⎕ATX Dv	Author of last edit	System	Monadic Function	System	System function	who blame edited wrote saved		https://help.dyalog.com/latest/#Language/System%20Functions/atx.htm
20∘⎕DT N	Convert (⎕TS-style or Dyalog date number) date-times to UNIX time numbers	System	Monadic Function	Data Conversion	System Function	datetimes date-times		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
21∘⎕ATX Dv	Number of days passed between 1899-12-31 at 00:00 UTC and last edit	System	Monadic Function	System	System function	utc zulu savetimestamp definitiontimestamp		https://help.dyalog.com/latest/#Language/System%20Functions/atx.htm
22∘⎕ATX Dv	Local timestamp at last edit (⎕TS-style)	System	Monadic Function	System	System function	juliett savetimestamp definitiontimestamp		https://help.dyalog.com/latest/#Language/System%20Functions/atx.htm
23∘⎕ATX Dv	Number of bytes required for storage without sharing	System	Monadic Function	System	System function	kb loc size ⎕size		https://help.dyalog.com/latest/#Language/System%20Functions/atx.htm
30∘⎕ATX Dv	Can source be displayed?	System	Monadic Function	System	System function	⎕lock allowed permitted permissions restricted restrictions		https://help.dyalog.com/latest/#Language/System%20Functions/atx.htm
30∘⎕DT N	Convert (⎕TS-style or Dyalog date number) date-times to Microsoft DOS date/time numbers	System	Monadic Function	Data Conversion	System Function	datetimes date-times		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
31∘⎕ATX Dv	Can execution be suspended mid-execution?	System	Monadic Function	System	System function	⎕lock allowed permitted permissions restricted restrictions		https://help.dyalog.com/latest/#Language/System%20Functions/atx.htm
31∘⎕DT N	Convert (⎕TS-style or Dyalog date number) date-times to Microsoft Win32 FILETIME numbers	System	Monadic Function	Data Conversion	System Function	datetimes date-times		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
32∘⎕ATX Dv	Responds to weak interrupt?	System	Monadic Function	System	System function	⎕lock allowed permitted permissions restricted restrictions		https://help.dyalog.com/latest/#Language/System%20Functions/atx.htm
32∘⎕DT N	Convert (⎕TS-style or Dyalog date number) date-times to Microsoft CLR DateTime (.NET) ticks property numbers	System	Monadic Function	Data Conversion	System Function	datetimes date-times		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
33∘⎕DT N	Convert (⎕TS-style or Dyalog date number) date-times to Microsoft OLE Automation Date numbers	System	Monadic Function	Data Conversion	System Function	datetimes date-times variant times		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
40∘⎕ATX Dv	Syntactic supra-class: ¯1:invalid name, 0:undefined, 1:label, 2:variable, 3:function, 4:operator, 8:event, 9:object	System	Monadic Function	System	System function	syntax rôle role		https://help.dyalog.com/latest/#Language/System%20Functions/atx.htm
40∘⎕DT N	Convert (⎕TS-style or Dyalog date number) date-times to Excel (1900 Date System)/Lotus 1-2-3 time numbers	System	Monadic Function	Data Conversion	System Function	datetimes date-times		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
41∘⎕ATX Dv	Syntactic sub-class: 0:none, 1:traditional/plain, 2:field/dynamic/instance, 3:property/derived/primitive, 4:class, 5:interface, 6:external, 7:external interface	System	Monadic Function	System	System function	classification type		https://help.dyalog.com/latest/#Language/System%20Functions/atx.htm
41∘⎕DT N	Convert (⎕TS-style or Dyalog date number) date-times to Excel (1904 Date System) time numbers	System	Monadic Function	Data Conversion	System Function	datetimes date-times		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
42∘⎕ATX Dv	Full syntactic class (sum of supra- and sub-class)	System	Monadic Function	System	System function	classification type		https://help.dyalog.com/latest/#Language/System%20Functions/atx.htm
42∘⎕DT N	Convert (⎕TS-style or Dyalog date number) date-times to Stata statistics package time numbers	System	Monadic Function	Data Conversion	System Function	datetimes date-times		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
43∘⎕DT N	Convert (⎕TS-style or Dyalog date number) date-times to SPSS statistics package time numbers	System	Monadic Function	Data Conversion	System Function	datetimes date-times		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
44∘⎕DT N	Convert (⎕TS-style or Dyalog date number) date-times to SAS time numbers	System	Monadic Function	Data Conversion	System Function	datetimes date-times		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
50∘⎕ATX Dv	Source file name	System	Monadic Function	System	System function	code text scm		https://help.dyalog.com/latest/#Language/System%20Functions/atx.htm
50∘⎕DT N	Convert (⎕TS-style or Dyalog date number) date-times to Julian date numbers	System	Monadic Function	Data Conversion	System Function	datetimes date-times		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
51∘⎕ATX Dv	Source file encoding	System	Monadic Function	System	System function	code text scm		https://help.dyalog.com/latest/#Language/System%20Functions/atx.htm
51∘⎕DT N	Convert (⎕TS-style or Dyalog date number) date-times to J daynos	System	Monadic Function	Data Conversion	System Function	datetimes date-times		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
52∘⎕ATX Dv	Source file checksum	System	Monadic Function	System	System function	code text scm		https://help.dyalog.com/latest/#Language/System%20Functions/atx.htm
52∘⎕DT N	Convert (⎕TS-style or Dyalog date number) date-times to Reduced Julian Date numbers	System	Monadic Function	Data Conversion	System Function	datetimes date-times		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
53∘⎕ATX Dv	Source file line separators: 13:Carriage Return, 10:Line Feed, 13 10:Carriage Return followed by Line Feed, 133:New Line, 11:Vertical Tab, 12:Form Feed, 8232:Line Separator, 8233:Paragraph Separator	System	Monadic Function	System	System function	text scm segmented separated delimiter		https://help.dyalog.com/latest/#Language/System%20Functions/atx.htm
53∘⎕DT N	Convert (⎕TS-style or Dyalog date number) date-times to Modified Julian Date numbers	System	Monadic Function	Data Conversion	System Function	datetimes date-times		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
54∘⎕ATX Dv	Definition's offset from top of source	System	Monadic Function	System	System function	location linenumbers		https://help.dyalog.com/latest/#Language/System%20Functions/atx.htm
54∘⎕DT N	Convert (⎕TS-style or Dyalog date number) date-times to Dublin Julian Date numbers	System	Monadic Function	Data Conversion	System Function	datetimes date-times		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
55∘⎕ATX Dv	Number of lines in definition	System	Monadic Function	System	System function	loc linenumbers lines		https://help.dyalog.com/latest/#Language/System%20Functions/atx.htm
55∘⎕DT N	Convert (⎕TS-style or Dyalog date number) date-times to CNES Julian Date numbers	System	Monadic Function	Data Conversion	System Function	datetimes date-times		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
56∘⎕DT N	Convert (⎕TS-style or Dyalog date number) date-times to CCSDS Julian Date numbers	System	Monadic Function	Data Conversion	System Function	datetimes date-times		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
60∘⎕ATX Dv	Verbatim source (as typed)	System	Monadic Function	System	System function	code definition text autoformat preserve whitespace formatting precise as-typed		https://help.dyalog.com/latest/#Language/System%20Functions/atx.htm
60∘⎕DT N	Convert (⎕TS-style or Dyalog date number) date-times to YYYYMMDD.hhmmss floating-point decimal encoded datetime format	System	Monadic Function	Data Conversion	System Function	code definition datetimes date-times encoded broken-down		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
61∘⎕ATX Dv	Normalised source (with AUTOFORMAT=1 and TAB_STOPS=4)	System	Monadic Function	System	System function	code definition text standard normalized		https://help.dyalog.com/latest/#Language/System%20Functions/atx.htm
61∘⎕DT N	Convert (⎕TS-style or Dyalog date number) date-times to YYYYMMMDDhhmmss integer encoded datetime formatsJ digit time	System	Monadic Function	Data Conversion	System Function	datetimes date-times encoded broken-down j digit time		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
62∘⎕ATX Dv	Most precise available source (verbatim with fallback to normalised)	System	Monadic Function	System	System function	text autoformat preserve whitespace formatting best precise as-typed		https://help.dyalog.com/latest/#Language/System%20Functions/atx.htm
¯1∘⎕C Y	Lowercase	System	Monadic Function		Text	casemap lettercase ¯1⎕C tolower lower-case conversion converting change changing string 0(819⌶)		https://help.dyalog.com/latest/#Language/System%20Functions/c.htm?Highlight=%E2%8E%95C
⎕LX←expression	Expression to be executed when workspace is loaded	System	Variable	Workspace	System Function	latentexpression autoexec bootstrap startup automatic ⎕load )load )xload	https://tio.run/##SyzI0U2pTMzJT///vyyx6FHbBBMjrkcd7Qogplt@PpcCmAWUAolyBZfmAnnaj3r2cwWXJxYA2dWPercqPOrdBUQgqpaL61HfVKC4ApDyc1ZQNzFSV1DPyy/JyMxLB7KABgFJoMFAEmgYiASao/7/PwA	https://help.dyalog.com/latest/#Language/System%20Functions/lx.htm
⎕PATH ←nss	Set search path (blank-separated list of namespace names) for functions and operators	System	Variable	System	System Function	stdlib standardlibrary include vector	https://tio.run/##SyzI0U2pTMzJT////1FHu0LRo7YJafn5XAqPeucq5KVWlCjkZOalKmQWQ2gjLgWwknSgEqByLpgWEB8i86hvqo@zAlh7SQZQG0ynIUjt//9AswE	https://help.dyalog.com/latest/#Language/System%20Functions/path.htm
⎕RL←⍬ 1	Seed and Random Number Generator used by Roll/Deal	System	Variable		Index Generation	RNG rnd pseudorandominteger pseudo-randomfloat srandomness source randomlink deterministic reproducible reproduce seeded Lehmer linear congruential Mersenne Twister OS Operating set choose predetermine predeterminable	https://tio.run/##SyzI0U2pTMzJT////1Hf1CCfR20TjA1NuIBsIMve0EABjLiIkXvUu0bBkDTZ//8B	https://help.dyalog.com/latest/#Language/System%20Functions/rl.htm
⎕SM←fields	Define character-based user interface	System	Variable	System	System Function	setup paint display screen map form text-based pseudo-graphics window inputs asynchronous terminal management		https://help.dyalog.com/latest/#Language/System%20Functions/sm.htm
⎕TRAP←trap_spec	Define error handling	System	Variable	Error Message	System	try catch	https://tio.run/##SyzI0U2pTMzJT/8PBI/6poYEOQYoPGqboKBhaKig7qquoK6u7pSYopBYlF6am5pXolGsCRTR1DBAlkzOT0lVBAlzHd5uwGWoYKRgrKCtYKJgCgA	https://help.dyalog.com/latest/#Language/System%20Functions/trap.htm
⎕USING ←ns_specs	Set search path for .NET Namespace(s)	System	Variable	System	System Function	microsoft mscorlib.dll dotnet	https://tio.run/##SyzI0U2pTMzJT///3y0//1HbhGouBSB41LsLyDaCsrdqHd4OFOGq5eJ61DcVKKEApPyCFNSBWtT//wcA	https://help.dyalog.com/latest/#Language/System%20Functions/using.htm
⎕WSID←name	The name of the active workspace	System	Variable	Workspace	System Function	filename currentworkspace )wsid workspaceidentification	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAlKMnF5B08VEw0DNSUHjUO1ehPDGzpFghLb8ILFScmpyfl1LMhaqjZ@ej3sWGBgYK9iACiB/1bjGAaE@tKEjNK84sS1VIzs8tKC1JLMnMz0PR/v8/AA	https://help.dyalog.com/latest/#Language/System%20Functions/wsid.htm
file←⎕NNAMES	Names of tied files in same order as ⎕NNUMS	System	Constant	Native Files	System Function		https://tio.run/##SyzI0U2pTMzJT///3y0//1HbhGouBSB41LsLyDaCsrdqHd4OFOGq5eJ61DcVKKEApJyDFNSBWtT//wcA	https://help.dyalog.com/latest/#Language/System%20Functions/nnames.htm
script←⎕SRC ref	The source code of an object	System	Monadic Function	Data Conversion	System Function	representation definition converting change changing reference text	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAlHNwmMKjrib1jNSiVB0TI50SEENdQb0kI7NYx9DSzAwoklii/v8/AA	https://help.dyalog.com/latest/#Language/System%20Functions/src.htm
space_names←⎕NSI	Names of spaces from which functions on stack were called	System	Monadic Function	Workspace	System Function	namestateindicator namespaceindicator namespaces suspended execution	https://tio.run/##SyzI0U2pTMzJT///38ovMTe1uCAxOVWhspJLAQQedbQrFD1qm5CWnw8RUABzq6r00mEiQCVcVq55KXDNXEjmVFVBFKmnZBYX5CRWqj/qm@ocqZ6SllesjmpDOqoNUPUKQPXBnjrRhnqmsUCmX7AnDkv//9f0C1aoqODSdAZTysp6lZV6QGcDAA	https://help.dyalog.com/latest/#Language/System%20Functions/nsi.htm
space_references←⎕RSI	References to spaces from which functions on stack were called	System	Monadic Function	Workspace	System Function	referencestateindicator referencespaceindicator namespaces suspended execution	https://tio.run/##SyzI0U2pTMzJT///38ovMTe1uCAxOVWhspJLAQQedbQrFD1qm5CWnw8RUABzq6r00mEiQCVcVq55KXDNXEjmVFVBFKmnZBYX5CRWqj/qm@ocqZ6SllesjmpDOqoNUPUKQPXBnjrRhnqmsUBmULAnDkv//9f0C1aoqODSdAZTysp6lZV6QGcDAA	https://help.dyalog.com/latest/#Language/System%20Functions/rsi.htm
messages←⎕EM codes	Event messages corresponding to error/interrupt codes	System	Monadic Function	Error Message	System Function	text errors interrupts string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtE4Ckq6@CsYKZgqGBgTGIMPv/HwA	https://help.dyalog.com/latest/#Language/System%20Functions/em.htm
bytes←⎕NSIZE tn	Current size of file tied with number tn	System	Monadic Function	Native Files	System Function	diskspace	https://tio.run/##SyzI0U2pTMzJT///Xz0xKVld4VHfVL@A0BAF9bTMnFS9kooSda6SPIVHbROQRMCKQjxdFQy4gCyQHEgg2DPKVaEk7/9/AA	https://help.dyalog.com/latest/#Language/System%20Functions/nsize.htm
bytes←⎕SIZE names	Space consumed by code/data attached to names	System	Monadic Function	Workspace	System Function	workspaceusage workspaceused memoryconsumption blank occupied consumation taken taking	https://tio.run/##SyzI0U2pTMzJT///vyyxyFDhUdsEBUMFIwVjBRMFUwUzBXMFCy6ghBE2CQVLrkd9U0ESQCrYM8pVQR1khjqYMlL//x8A	https://help.dyalog.com/latest/#Language/System%20Functions/size.htm
bytes←⎕WA	Workspace available (unused)	System	Constant	Workspace	System Function	freememory	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAVLgjV1likQKIZ@hq/qh3i7qjOhey9P//AA	https://help.dyalog.com/latest/#Language/System%20Functions/wa.htm
captured_output←⎕CMD cmd	Execute Microsoft Windows cmd (synonym of ⎕SH)	System	Monadic Function	System	System Function	shell operatingsystem commandprocessor )cmd.exe command.com	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAlLOvi4J6SmaRgr76//8A	https://help.dyalog.com/latest/#Language/System%20Functions/cmd.htm
captured_output←⎕SH cmd	Execute UNIX shell cmd (synonym of ⎕CMD)	System	Monadic Function	System	System Function	os operatingsystem commandprocessor linux macos aix rasbianpios )sh ash bash dash pdksh mksh zsh tcsh fish rc scsh wish	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAVLCHgnpOsYK@@v//AA	https://help.dyalog.com/latest/#Language/System%20Functions/sh.htm
class_hierarchy←⎕CLASS ref	Class hierarchy for a class/instance	System	Monadic Function	System	System Function	parents ancestors	https://tio.run/##SyzI0U2pTMzJT///38o5J7G4WMExLzM3MYfLyjUvBSzApcAFlXHKLEqxwiMfkFhUlF9iBVaHkP//PyA/J6dS4VHbBIVHfVP9XMOhCrmAPKigs49jcLACWB0A	https://help.dyalog.com/latest/#Language/System%20Functions/class.htm
description←tkrange ⎕TALLOC 0	Query token range description	System	Function	System	System Function	synchronisation synchronization parallel threading greenthreading querying enquire enquiring reporting getting fetching tokens		https://help.dyalog.com/latest/#Language/System%20Functions/talloc.htm
errno←⎕EN	Error number for last reported APL error	System	Constant	Error Message	System	failure code	https://tio.run/##SyzI0U2pTMzJT////1FHu0LRo7YJbvn5XAoKViFFiQUKBkAWCBzeDmJZuealgISBTJDCR31TXf24gNq4gCwgXwGo8/9/AA	https://help.dyalog.com/latest/#Language/System%20Functions/en.htm
names←⎕XSI	Full names of functions on the stack	System	Constant	Workspace	System Function	extendedstateindicator extendedspaceindicator namespacepath references )si execution	https://tio.run/##SyzI0U2pTMzJT///38ovMTe1uCAxOVWhspJLAQQedbQrFD1qm5CWnw8RUABzq6r00mEiQCVcVq55KXDNXEjmVFWhmpOOas6jvqkRwZ44zPn/X9MvWKGigkvTGUwpK@tVVuoBXQIA	https://help.dyalog.com/latest/#Language/System%20Functions/xsi.htm
names←⎕FLIB folder	List component files in the specified folder	System	Function	Component Files	System Function	dcf ls dir vector library	https://tio.run/##SyzI0U2pTMzJT///Xz0tMyfVUV3hUd9UN@cgV8cQVwUDLrCgE5ogkPOobQJYzMfTSUFdT/3/fwA	https://help.dyalog.com/latest/#Language/System%20Functions/flib.htm
names←⎕REFS name	List the names referenced by a function	System	Function	System	System Function	xref crossreferences identifiers symbols vector	https://tio.run/##VZC9CsIwFIX3PMXdovjzAHUSrNClgi5dS3uVYm1ik4quIipKRQRHd3d9orxITRoH3W5yzvnu4YY87cSbMGWzqlLHA4y4TFgmeoxL0UsyTkCVD8hxWaCQAsIsBlxjVEg0D2C1nYAZBKj9lepMISnQHDnLzYBZTAl4vqMVbeiLObUpR3/ryM0NVPlW5bOhTlvtaarjydCMeLlb5CpMk/i7rAsCU4wkTHO2oG27@LwzJM8n4AZOzWwZQZUvC9WwutivE2zFv7A/cIg@A7GbTYGxO5wA/Z6FVtUH	https://help.dyalog.com/latest/#Language/System%20Functions/refs.htm
names←⎕SI	Vector of names of functions on the stack	System	Constant	Workspace	System Function	stateindicator )si list execution	https://tio.run/##SyzI0U2pTMzJT////1FHu0LRo7YJafn5XApgVjqQBRTlgsmkw2Ue9U0N9gSJ//8PVA4A	https://help.dyalog.com/latest/#Language/System%20Functions/si.htm
numvec←⎕NC names	Class of each name (fractional if names is nested)	System	Function	Workspace	System Function	itemtype nameclass	https://tio.run/##SyzI0U2pTMzJT///vyyx6FHbBBMjrkcd7Qogplt@PpcCmAWUAolyBZfmAnnaj3r2cwWXJxYA2dWPercqPOrdBUQgqpaL61HfVKC4ApDyc1ZQNzFSV1DPyy/JyMxLB7KABgFJoMFAEmgYiASao/7/PwA	https://help.dyalog.com/latest/#Language/System%20Functions/nc.htm
numvec←⎕LC	Lines at which each function on stack is suspended	System	Constant	Workspace	System Function	linecounter number state	https://tio.run/##SyzI0U2pTMzJT////1FHu0LRo7YJafn5XAqPeucq5KVWlCjkZOalKmQWQ2gjLgWwknSgEqByLpgWEB8i86hvqo@zAlh7SQZQG0ynIUjt//9AswE	https://help.dyalog.com/latest/#Language/System%20Functions/lc.htm
numvec←⎕TS	Current time (y m d h m s ms)	System	Constant	System	System Function	now localtimestamp datetime	https://tio.run/##SyzI0U2pTMzJT///qHeugnNOZnK2wqPmuY/6tyqU5CsUpaYVpRZn/H/UN/VR2wQFIBUS/P8/AA	https://help.dyalog.com/latest/#Language/System%20Functions/ts.htm
old_df←⎕DF char_array	Set the display form of the current space	System	Function	Data Conversion	System Function	visualrepresentation format ⍕ ⎕fmt change changing	https://tio.run/##SyzI0U2pTMzJT/8PBCUKj9omKDzqm@rnGq7wqKtJPSQzN7VInQsoApIo4eIq0QOyXdwU1H0rnXPyk7PBcmBdJQA	https://help.dyalog.com/latest/#Language/System%20Functions/df.htm
r←⎕NEXISTS files	Return 1 if files exist, else 0	System	Function	Native Files	System Function	present check lookfor	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAlJ9rhGdwSLCCelpmTqpeSUWJOpd6YlKyOlguIDQEWQKfrv//AQ	https://help.dyalog.com/latest/#Language/System%20Functions/nexists.htm
r←⎕NR name	Source of function or operator as a nested vector	System	Function	Data Conversion	System Function	code representation vtv character list converting change changing	https://tio.run/##SyzI0U2pTMzJT///3y0//1HbhGouBSB41LsLyDaCsrdqHd4OFOGq5eJ61DcVKKEApPyCFNSBWtT//wcA	https://help.dyalog.com/latest/#Language/System%20Functions/nr.htm
r←⎕AI	User number, compute, connect, keying time (ms)	System	Constant	System	System Function	accountinformation session milliseconds uptime useridentification cpuusage processorusage idle	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAlKMnF5B08VEw0DNSUHjUO1ehPDGzpFghLb8ILFScmpyfl1LMhaqjZ@ej3sWGBgYK9iACiB/1bjGAaE@tKEjNK84sS1VIzs8tKC1JLMnMz0PR/v8/AA	https://help.dyalog.com/latest/#Language/System%20Functions/ai.htm
r←⎕CR name	Source of function or operator as a character matrix	System	Function	Data Conversion	System Function	code representation table canonical converting change changing	https://tio.run/##SyzI0U2pTMzJT///3y0//1HbhGouBSB41LsLyDaCsrdqHd4OFOGq5eJ61DcVKKEApJyDFNSBWtT//wcA	https://help.dyalog.com/latest/#Language/System%20Functions/cr.htm
r←⎕CSV data	Convert CSV data to APL matrix	System	Function	Data Conversion	System Function	tsv table import parse commaseparatedvalues tabseparatedvalues characterseparatedvalues converting change changing	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAlHNwmMKjrib1jNSiVB0TI50SEENdQb0kI7NYx9DSzAwoklii/v8/AA	https://help.dyalog.com/latest/#Language/System%20Functions/csv.htm
r←⎕FAVAIL	1 if file system is available, else 0	System	Function	Component Files	System Function	dcf active usable accessible	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAlJtjmKOnz///AA	https://help.dyalog.com/latest/#Language/System%20Functions/favail.htm
r←⎕OR name	Object representation (variable) of function, operator, or namespace	System	Function	Data Conversion	System Function	nounify make arrayify package converting change changing	https://tio.run/##SyzI0U2pTMzJT///3y0//1HbhGouBYVHvbu0H/Vu5arletQ3FSgGJP2DFNSBCtRhIp2LsAkuRBL8/x8A	https://help.dyalog.com/latest/#Language/System%20Functions/or.htm
r←⎕STACK	Definition of each function on the stack	System	Constant	Workspace	System Function	state definitions	https://tio.run/##SyzI0U2pTMzJT////1FHu0LRo7YJafn5XApg1qPePvX0/Hx1LqAUF0w6HSHdNzU4xNHZGyT1/z9QGwA	https://help.dyalog.com/latest/#Language/System%20Functions/stack.htm
r←⎕STATE name	Details of the usage of name at each level of the stack	System	Function	Workspace	System Function	definition )sinl	https://tio.run/##SyzI0U2pTMzJT////1FHu0LRo7YJafn51kDMpaAAJIH86ke9fY96t9YCBaDSCurp@fnqXEANXDBN6XBNIN6jvqnBIY4hrgrqaVCF//8DWQA	https://help.dyalog.com/latest/#Language/System%20Functions/state.htm
r←⎕VR name	Source of function or operator as a simple vector	System	Function	Data Conversion	System Function	code representation list converting change changing	https://tio.run/##SyzI0U2pTMzJT///3y0//1HbhGouBSB41LsLyDaCsrdqHd4OFOGq5eJ61DcVKKEApMKCFNSBWtT//wcA	https://help.dyalog.com/latest/#Language/System%20Functions/vr.htm
r←0 ⎕JSON data	Convert JSON text to APL array	System	Function	Data Conversion	System Function	from JSON2APL javascriptobjectnotation import parse deserialise deserialize converting change changing string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFIAMr2B/PwX1aEMdIx2l3MS8SqVY9f//AQ	https://help.dyalog.com/latest/#Language/System%20Functions/json.htm
r←0 ⎕DT dates	Validate (⎕TS or Dyalog date number) date-times	System	Dyadic Function	Array Properties	System Function	InternationalDayNumber? Gregoriancalendar? serialnumber? dates? date? ⎕TS? IDN? validation validating allowed? legal? valid?		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
r←1 ⎕JSON data	Convert APL array to JSON text	System	Function	Data Conversion	System Function	from APL2JSON javascriptobjectnotation export generate serialise serialize converting change changing string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYAMr2B/PyDLSEE9NzGvUv3/fwA	https://help.dyalog.com/latest/#Language/System%20Functions/json.htm
r←type ⎕DR x	Interpret internal representation as array of type 'type'	System	Function	Array Properties	System Function	datarepresentation internalrepresentation	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMDRWALJcgBRMjLqiQhQGmkDFUyAAIDREYQwua/P//AA	https://help.dyalog.com/latest/#Language/System%20Functions/dr.htm
r←type ⎕DT dates	Convert (⎕TS-style) date-times to Dyalog Date Number	System	Dyadic Function	Data Conversion	System Function	DyalogDayNumber DDN InternationalDayNumber IDN DyalogComponentFileTime DCF JNanosecondTime Jnst ShaktiK7 ShaktiK9 JavaScript D Q RChronFormat UnixTime PosixTime UnixEpochTime 1970 MicrosoftDOS MS-DOS CLR .NET DateTime.Ticks OLE Automation DATE VariantTime Excel1900 Lotus1-2-3 Excel1904 Stata SPSS SAS ReducedJulian ModifiedJulian DublinJulian JDayno CNESJulian CCSDSJulian YYYYMMDD.hhmmss decimalencoded decimal-encoded integerencoded integer-encoded YYYYMMDDhhmmss JDigitTime ⎕TS millisecond microsecond μs JExpandedDigitTime ISOday-of-year ISOday-of-week DateTimePicker MilitaryTimeZone Gregoriancalendar serialnumber converting change changing dates ⎕TS-style		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
r←type 0 ⎕DT dates	Validate type 'type' date-times	System	Dyadic Function	Array Properties	System Function	Gregoriancalendar? dates? date? validation validating allowed legal		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
r←type1 type2 ⎕DT dates	Convert type 'type1' date-times to type 'type2'	System	Dyadic Function	Data Conversion	System Function	DyalogDayNumber DDN InternationalDayNumber IDN DyalogComponentFileTime DCF JNanosecondTime Jnst ShaktiK7 ShaktiK9 JavaScript D Q RChronFormat UnixTime PosixTime UnixEpochTime 1970 MicrosoftDOS MS-DOS CLR .NET DateTime.Ticks OLE Automation DATE VariantTime Excel1900 Lotus1-2-3 Excel1904 Stata SPSS SAS ReducedJulian ModifiedJulian DublinJulian JDayno CNESJulian CCSDSJulian YYYYMMDD.hhmmss decimalencoded decimal-encoded integerencoded integer-encoded YYYYMMDDhhmmss JDigitTime ⎕TS millisecond microsecond μs JExpandedDigitTime ISOday-of-year ISOday-of-week DateTimePicker MilitaryTimeZone Gregoriancalendar converting change changing dates		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
ref←⎕THIS	Reference to the current namespace	System	Namespace	Data Conversion	System Function	here myself converting change changing	https://tio.run/##SyzI0U2pTMzJT/8PBI/6pj5qm6AApEI8PIO5NP2CFfK4NJ1BJJoUghvsqgcVBAA	https://help.dyalog.com/latest/#Language/System%20Functions/this.htm
refs←⎕INSTANCES class	Current instances of class	System	Function	Data Conversion	System Function	children derived converting change changing	https://tio.run/##SyzI0U2pTMzJT///38o5J7G4WMExLzM3MYfLyjUvBSzApcAFlXHKLEqxwiMfkFhUlF9iBVaHJM@l4ZpamV@U@qhtwqO@qX6u4VAjNPWAXBc3BXWItDqXRkB@Tk6lAlCdAlQhxES4QrC8OhcXkAtV5OkXHOLo5@waDHMWNimQe/7/BwA	https://help.dyalog.com/latest/#Language/System%20Functions/instances.htm
tdno←⎕TNUMS	Report the numbers of all current threads	System	Constant	System	System Function	& synchronising synchronizing synchronisation synchronization parallelisation parallelization threading greenthreading	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUg0sSi0pSU9R1gAIuPmoGesZcOKUM4VJBpXl5mXnpYKkQv1DfYLhMeGJmCUzGxUfBQM@ISE1wi/Dr@f8fAA	https://help.dyalog.com/latest/#Language/System%20Functions/tnums.htm
tdno←⎕TID	The number of the current thread	System	Constant	System	System Function	& synchronising synchronizing synchronisation synchronization parallelisation parallelization threading greethread )tid currentthreadidentity identification	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAVIinCxeUVw3h1qo96l2DTwwi9P8/AA	https://help.dyalog.com/latest/#Language/System%20Functions/tid.htm
tdno←⎕TCNUMS tdno	The child thread numbers of the given thread numbers	System	Function	System	System Function	& synchronising synchronizing synchronisation synchronization parallelisation parallelization threading greenthreading	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAVIizX6hvsIIBF5Dt4qNmoGfIhUfSGKekgoGeEamS//8DAA	https://help.dyalog.com/latest/#Language/System%20Functions/tcnums.htm
tdres←⎕TSYNC tdno	Wait for threads tdno to terminate and return results	System	Function	System	System Function	& synchronising synchronizing synchronisation synchronization parallelisation parallelization threading greenthreading aggragate aggregating aggregation collecting collection of returning values from threads	https://tio.run/##SyzI0U2pTMzJT///v0ThUdsEhUd9U1181Iy4gDSUGxLMBSYj/ZwVSlDE//8HAA	https://help.dyalog.com/latest/#Language/System%20Functions/tsync.htm
tks←tkrange ⎕TALLOC 2	Query the token pool	System	Function	System	System Function	synchronisation synchronization parallel threading greenthreading querying enquire enquiring reporting getting fetching tokens		https://help.dyalog.com/latest/#Language/System%20Functions/talloc.htm
tkrange_description_pairs←⎕TALLOC 0	Query all token range descriptions	System	Function	System	System Function	synchronisation synchronization parallel threading greenthreading querying enquire enquiring reporting getting fetching tokens ranges		https://help.dyalog.com/latest/#Language/System%20Functions/talloc.htm
tktype←⎕TPOOL	Type of each token in the token pool	System	Constant	System	System Function	synchronising synchronizing synchronisation synchronization parallelisation parallelization threading greenthreading	https://tio.run/##SyzI0U2pTMzJT///Xz0jNScnX11BvTy/KCdFXeFR39SQgNCQQyuMFQy5gJxHbRPAQv7@Pkhcd9cQDOn//wE	https://help.dyalog.com/latest/#Language/System%20Functions/tpool.htm
tktype←⎕TREQ tdno	List token types that threads tdno are have requested and are waiting for	System	Function	System	System Function	synchronising synchronizing synchronisation synchronization parallelisation parallelization threading greenthreading vector requests		https://help.dyalog.com/latest/#Language/System%20Functions/treq.htm
tns←⎕NNUMS	Tie numbers of tied files	System	Constant	Native Files	System Function		https://tio.run/##SyzI0U2pTMzJT///Xz0tMyfVUK@kokRd4VHfVD/nIFfHEFcFAy71xKRkiFBAaIgCWJkRWBkXEhssH@IJUg9kPWqbAOL7hfoG//8PAA	https://help.dyalog.com/latest/#Language/System%20Functions/nnums.htm
tns←⎕FNUMS	Vector containing tie numbers of tied files	System	Constant	Component Files	System Function	dcf access list	https://tio.run/##SyzI0U2pTMzJT///Xz0tMyfVUC8lOU1d4VHfVDfnIFfHEFcFAy6whBFcws/ZPyBSAUk1ugK3EE@QNiDrUdsEEN8v1Df4/38A	https://help.dyalog.com/latest/#Language/System%20Functions/fnums.htm
type←⎕DR x	Return internal data type of x	System	Function	Array Properties	System Function	datarepresentation internalrepresentation	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAlEuQgqGCARADSS5UYSN0vrGJKRYhM3MLdFE9YxMTNDFXbLq9jNGUqScmJaujCT3q3aUFZKILf5jQ0AjETUDcrI7hLIhJ//8DAA	https://help.dyalog.com/latest/#Language/System%20Functions/dr.htm
user_name←⎕AN	User (login) name	System	Constant	System	System Function	accountname	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAlKPf//8A	https://help.dyalog.com/latest/#Language/System%20Functions/an.htm
⎕CS #	Switch to workspace root namespace	System	Function	System	System Function	top		
t←0 ⎕NINFO tns/files	Return names for tns/files	System	Function	Native Files	System Function	dir directory directories folders ls list information vector	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFDSALD9PPzf/R70LDDUV1PW11P//BwA	https://help.dyalog.com/latest/#Language/System%20Functions/ninfo.htm
t←1 ⎕NINFO tns/files	Return types (0:unknown, 1:directory, 2:file, 3:char-device, 4:sym-link, 5:block-dev, 6:FIFO. 7:socket) for tns/files	System	Function	Native Files	System Function	dir directory directories folders ls list information vector symbolic first-in-first-out character	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9XY@6mrW0X/UNvHQCgVDBQMFDaCMn6efm/@j3gWGmgrqWuoK6vpa6v//AwA	https://help.dyalog.com/latest/#Language/System%20Functions/ninfo.htm
t←10 ⎕NINFO tns/files	Return create local time (⎕TS-style) for tns/files	System	Function	Native Files	System Function	dir directory directories folders ls list information vector when created		https://help.dyalog.com/latest/#Language/System%20Functions/ninfo.htm
t←11 ⎕NINFO tns/files	Return whether readable (1:yes, 0:no, ¯1:unknown) for tns/files	System	Function	Native Files	System Function	dir directory directories folders ls list information vector list-only attribute status flag	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9XY@6mrW0X/UNvHQCgVDQwUDBQ2glJ@nn5v/o94FhpoK6lrqCur6Wur//wMA	https://help.dyalog.com/latest/#Language/System%20Functions/ninfo.htm
t←12 ⎕NINFO tns/files	Return whether writeable (1:yes, 0:no, ¯1:unknown) for tns/files	System	Function	Native Files	System Function	dir directory directories folders ls list information vector read-only attribute status flag	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9XY@6mrW0X/UNvHQCgVDIwUDBQ2glJ@nn5v/o94FhpoK6lrqCur6Wur//wMA	https://help.dyalog.com/latest/#Language/System%20Functions/ninfo.htm
t←13 ⎕NINFO tns/files	Return last UTC modification time (DDN-style) for tns/files	System	Function	Native Files	System Function	dir directory directories folders ls list information vector when modified	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9XY@6mrW0X/UNvHQCgVjBQMFDaCMn6efm/@j3gWGmgrqWuoK6vpa6v//AwA	https://help.dyalog.com/latest/#Language/System%20Functions/ninfo.htm
t←14 ⎕NINFO tns/files	Return last UTC access time (DDN-style) for tns/files	System	Function	Native Files	System Function	dir directory directories folders ls list information vector when previously accessed	https://tio.run/##SyzI0U2pTMzJT///Xz0jNScnX6E8vygnRV3hUd9Uv4DQEAX1jHK9kooSdS6gwKO2CQqWYBlPPzd/uNT//wA	https://help.dyalog.com/latest/#Language/System%20Functions/ninfo.htm
t←15 ⎕NINFO tns/files	Return create UTC time (DDN-style) for tns/files	System	Function	Native Files	System Function	dir directory directories folders ls list information vector when created		https://help.dyalog.com/latest/#Language/System%20Functions/ninfo.htm
t←2 ⎕NINFO tns/files	Return size (in bytes) for tns/files	System	Function	Native Files	System Function	dir directory directories folders ls list information vector	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9XY@6mrW0X/UNvHQCgUjBQMFDaCMn6efm/@j3gWGmgrqWuoK6vpa6v//AwA	https://help.dyalog.com/latest/#Language/System%20Functions/ninfo.htm
t←3 ⎕NINFO tns/files	Return last local modification time (⎕TS-style) for tns/files	System	Function	Native Files	System Function	dir directory directories folders ls list information vector when modified	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9XY@6mrW0X/UNvHQCgVjBQMFDaCMn6efm/@j3gWGmgrqWuoK6vpa6v//AwA	https://help.dyalog.com/latest/#Language/System%20Functions/ninfo.htm
t←4 ⎕NINFO tns/files	Return owner user ID for tns/files	System	Function	Native Files	System Function	dir directory directories folders ls list information vector userid user-id windows sid	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9XY@6mrW0X/UNvHQCgUTBQMFDaCMn6efm/@j3gWGmgrqWuoK6vpa6v//AwA	https://help.dyalog.com/latest/#Language/System%20Functions/ninfo.htm
t←5 ⎕NINFO tns/files	Return owner name for tns/files	System	Function	Native Files	System Function	dir directory directories folders ls list information vector	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9XY@6mrW0X/UNvHQCgVTBQMFDaCMn6efm/@j3gWGmgrqWuoK6vpa6v//AwA	https://help.dyalog.com/latest/#Language/System%20Functions/ninfo.htm
t←6 ⎕NINFO tns/files	Return hidden attribute for tns/files	System	Function	Native Files	System Function	dir directory directories folders ls list information vector status flag leading dot . period full-stop	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9XY@6mrW0X/UNvHQCgUzBQMFDaCMn6efm/@j3gWGmgrqWuoK6vpa6v//AwA	https://help.dyalog.com/latest/#Language/System%20Functions/ninfo.htm
t←7 ⎕NINFO tns/files	Return symbolic link target for tns/files	System	Function	Native Files	System Function	dir directory directories folders ls list information vector symlink sym-link		https://help.dyalog.com/latest/#Language/System%20Functions/ninfo.htm
t←8 ⎕NINFO tns/files	Return current file position for tns/files	System	Function	Native Files	System Function	dir directory directories folders ls list information vector	https://tio.run/##SyzI0U2pTMzJT///Xz0jNScnX6E8vygnRV3hUd9Uv4DQEAX1jHK9kooSda6SPIVHbRPgfLCCEE9XBQMuIAskAxIIcnV0UQCqtDBQMIWJW4BlPP3c/IEy//8DAA	https://help.dyalog.com/latest/#Language/System%20Functions/ninfo.htm
t←9 ⎕NINFO tns/files	Return last local access time (⎕TS-style) for tns/files	System	Function	Native Files	System Function	dir directory directories folders ls list information vector when previously accessed	https://tio.run/##SyzI0U2pTMzJT///Xz0jNScnX6E8vygnRV3hUd9Uv4DQEAX1jHK9kooSdS6gwKO2CQqWYBlPPzd/uNT//wA	https://help.dyalog.com/latest/#Language/System%20Functions/ninfo.htm
⎕names←⎕FNAMES	Names of tied files in same order as ⎕FNUMS	System	Constant	Component Files	System Function	dcf	https://tio.run/##SyzI0U2pTMzJT///Xz0tMyfVUF3hUd9UN@cgV8cQVwUDLrCgEZogkPOobQJYzM/R1zX4/38A	https://help.dyalog.com/latest/#Language/System%20Functions/fnames.htm
old_df←⎕DF ⎕NULL	Reset the display form of the current space to the default	System	Function	Data Conversion	System Function	visualrepresentation format ⍕ ⎕fmt restore restoring nullify nullifying remove erase undoing removing erasing eliminate eliminating delete deleting	https://tio.run/##SyzI0U2pTMzJT/8PBCUKj9omKDzqm@rnGq7wqKtJPSQzN7VInQsoApIo4eIq0QOyXdwU1H0rnXPyk7PBcmBdJQA	https://help.dyalog.com/latest/#Language/System%20Functions/df.htm
⎕CS ##	Switch to parent namespace	System	Function	System	System Function	up		
⎕TNAME←{tdname}	Report/set the name (tdname) of the current thread	System	Variable	System	System Function	synchronisation synchronization parallel threading greenthreading	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAVIifo68rF4yhABJVD/H0V@dCU/L/PwA	https://help.dyalog.com/latest/#Language/System%20Functions/tname.htm
ax_mx←⎕FRDAC tn {pn}	Read access matrix of file tied with number tn (pn is optional passnumber)	System	Function	Component Files	System Function	dcf table	https://tio.run/##SyzI0U2pTMzJT///X704MSe1WC8lOU1d4VHfVDfnIFfHEFcFQy4NYwXjR71bjCwUjAwNTBUMzYwtTBUMFIwMzI2hHGNDhUPrDRUMNMEag0McnYHagMxHbRNAAkEuIIH//wE	https://help.dyalog.com/latest/#Language/System%20Functions/frdac.htm
valid nums←{seps} ⎕VFI text	Validate numeric input: returns Boolean validity mask and numeric vector of converted input	System	Function	Data Conversion	System Function	verifyandfixinput atoi parse numbers fields formdata list check correct indicate masking indicating binary base-2 base2 bitmask bit-mask converting change changing string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAVJibp4K6kYKukcKh9UbqXFAJdR11uKSxnqWOkZ6Jjo65mY76//8A	https://help.dyalog.com/latest/#Language/System%20Functions/vfi.htm
vec←⎕NREAD tn type n {offset}	Read n items of specified type from file tied with number tn	System	Function	Native Files	System Function	load fetch get cells elements	https://tio.run/##SyzI0U2pTMzJT///Xz0xKVld4VHfVL@A0BAF9bTMnFS9kooSda6SPIVHbROQRMCKQjxdFQy4gCygHIgf5OroogBUamGgcGi9ITYJY5CEgsH//wA	https://help.dyalog.com/latest/#Language/System%20Functions/nread.htm
children←{class} ⎕WN parent	Child objects (of class) of parent	System	Function	Native Files	System Function	window gui names	https://tio.run/##SyzI0U2pTMzJT///X11Zr8RQXeFR39RwZwX1kMzc1CJ1LpCgEbogkPeobQJY0E9BXVn9/38A	https://help.dyalog.com/latest/#Language/System%20Functions/wn.htm
cn←x ⎕FAPPEND tn {pn}	Append x to end of file tied with number tn (pn is optional passnumber)	System	Function	Component Files	System Function	dcf trailing ending	https://tio.run/##SyzI0U2pTMzJT///vyRP4VHbBAX1tMycVL2U5DR1hUd9U92cg1wdQ1wVDLiAHKA0SCjYM8pVoSSPi8vQyFhBPTEpGaLSMSDA1c8FJAESRxXBpgrTxP//AQ	https://help.dyalog.com/latest/#Language/System%20Functions/fappend.htm
cns←{fchk_opts} ⎕FCHK file	Inspect and optionally repair file	System	Function	Component Files	System Function	dcf check externalvariable correct validate	https://tio.run/##SyzI0U2pTMzJT////1HfVLdQvxBPVwX1tMycVL2U5DR1BZCgc5CrY4irggEXkPOobQJEzMMbSdn//wA	https://help.dyalog.com/latest/#Language/System%20Functions/fchk.htm
instance←⎕NEW class {conargs}	Create an instance of class	System	Function	Data Conversion	System Function	.new converting change changing	https://tio.run/##SyzI0U2pTMzJT///38o5J7G4WCGZSwEIrNwyU3NSFApKk3IykxWKEvNS8nP9SnOTUovA0o862n0Ts1PBbKBix@TkVKBWiGqYoGduQU5qbmpeCdDM/LzikqLS5JL8Iqjso76pj9omqDsXpSaWpKYoJJao6wCFQoIR0kE@CkAVCo9610DFkB0BlrI3MYI5hsvKNS8F7P7//zMNIRr7pvq5hgO9A2S4@CgYcmUaYYiDBTSAGjKNNPWQzQcA	https://help.dyalog.com/latest/#Language/System%20Functions/new.htm
keystrokes←{keystrokes} ⎕PFKEY pfkey	Set/report programmable function key (F-key)	System	Function	System	System Function	define query macro automate key-sequence associate keyboard shortcuts		https://help.dyalog.com/latest/#Language/System%20Functions/pfkey.htm
names←{init_chars} ⎕NL nums	List names of existing specified class(es), optionally filtered (negative for nested result)	System	Function	Workspace	System Function	available active names namelist classes	https://tio.run/##SyzI0U2pTMzJT////1HfVOdI9ZS0vGJ1LiD7UdsEBfX0HHUFINvPR8FYweT/fwA	https://help.dyalog.com/latest/#Language/System%20Functions/nl.htm
names←{init_chars} ⎕NL ¯1	List names of existing line labels, optionally filtered	System	Function	Workspace	System Function	available active names namelist	https://tio.run/##SyzI0U2pTMzJT////1FHu0Jafj6XgkJaZlFxiRWQUVKe/6htghGIlZFZlAISetQ3FSgEJP18FA6tN@QC6vr/H6gNAA	https://help.dyalog.com/latest/#Language/System%20Functions/nl.htm
names←{init_chars} ⎕NL ¯2	List names of existing arrays, optionally filtered	System	Function	Workspace	System Function	available active names namelist )vars	https://tio.run/##SyzI0U2pTMzJT////1FHu0Jafj6XgkJaZlFxiRWQUVKe/6htghGIlZFZlAISetQ3FSgEJP18FA6tN@IC6vr/H6gNAA	https://help.dyalog.com/latest/#Language/System%20Functions/nl.htm
names←{init_chars} ⎕NL ¯3	List names of existing functions, optionally filtered	System	Function	Workspace	System Function	available active names namelist )fns	https://tio.run/##SyzI0U2pTMzJT////1HfVOdI9ZS0vGJ1LiD7UdsEBfX0HHUFINvPR@HQeuP//wE	https://help.dyalog.com/latest/#Language/System%20Functions/nl.htm
names←{init_chars} ⎕NL ¯4	List names of existing operators, optionally filtered	System	Function	Workspace	System Function	available active names namelist )ops	https://tio.run/##SyzI0U2pTMzJT////1HfVOdI9ZS0vGJ1LiD7UdsEBfX0HHUFINvPR@HQepP//wE	https://help.dyalog.com/latest/#Language/System%20Functions/nl.htm
names←{init_chars} ⎕NL ¯9	List names of existing objects, optionally filtered	System	Function	Workspace	System Function	available active names namelist )objects )obs	https://tio.run/##SyzI0U2pTMzJT////1HfVOdI9ZS0vGJ1LiD7UdsEBSDl56NwaL3l//8A	https://help.dyalog.com/latest/#Language/System%20Functions/nl.htm
r←⎕FHIST tn {pn}	Return history (user/time of last operations) of file tied with number tn (pn is optional passnumber)	System	Function	Component Files	System Function	dcf log	https://tio.run/##SyzI0U2pTMzJT///vyRP4VHbBAX1tMycVL2U5DR1hUd9U92cg1wdQ1wVDLiAHKA0SMjDMzhEoSTv/38A	https://help.dyalog.com/latest/#Language/System%20Functions/fhist.htm
r←⎕FRDCI tn cn {pn}	Size in bytes, user and timestamp of last update to component cn in file tied with number tn (pn is optional passnumber)	System	Function	Component Files	System Function	dcf readaccess componentinformation	https://tio.run/##SyzI0U2pTMzJT///vyRP4VHbBAX1tMycVL2U5DR1hUd9U92cg1wdQ1wVDLjUE5OSIUKOAQGufi4KJXlcQB5IC0gwyMXZEyikYPj/PwA	https://help.dyalog.com/latest/#Language/System%20Functions/frdci.htm
r←⎕FREAD tn cn {pn}	The array stored in component(s) cn in file tied with number tn (pn is optional passnumber)	System	Function	Component Files	System Function	dcf get retrieve load copy fetch	https://tio.run/##SyzI0U2pTMzJT///vyRP4VHbBAX1tMycVL2U5DR1hUd9U92cg1wdQ1wVDLjUE5OSIUKOAQGufi4KJXlcQB5IC0gQqAwkpGD4/z8A	https://help.dyalog.com/latest/#Language/System%20Functions/fread.htm
r←⎕FSIZE tn {pn}	First and next-free component number, used and max size in bytes of file tied with number tn	System	Function	Component Files	System Function	dcf maximum 1st	https://tio.run/##SyzI0U2pTMzJT///vyRP4VHbBAX1tMycVL2U5DR1hUd9U92cg1wdQ1wVDLjUE5OSIUKOAQGufi4KJXlcQB5IC0gw2DPKFSj0/z8A	https://help.dyalog.com/latest/#Language/System%20Functions/fsize.htm
r←data {header} ⎕CSV format_spec	Convert CSV data from APL matrix	System	Function	Data Conversion	System Function	tsv table export generate commaseparatedvalues tabseparatedvalues characterseparatedvalues converting change changing	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAlHNwmIKGemJSsk5KapqOiZGrgbqCup6hjq6RnrGOsZ6BuqaCup@6gsn//wA	https://help.dyalog.com/latest/#Language/System%20Functions/csv.htm
r←nvpairs ⎕FPROPS tn {pn}	Set properties of file tied with number tn using name-value pairs (pn is optional passnumber)	System	Function	Component Files	System Function	dcf settings update modify change changing converting conversion	https://tio.run/##SyzI0U2pTMzJT///vyRP4VHbBAX1tMycVL2U5DR1hUd9U92cg1wdQ1wVDLjUH/UugQg5BgS4@rkolORxqYeqKxiAxQKC/AOCwUKPenegKfv/HwA	https://help.dyalog.com/latest/#Language/System%20Functions/fprops.htm
r←pnames ⎕FPROPS tn {pn}	Current values of the named properties of file tied with number tn (pn is optional passnumber)	System	Function	Component Files	System Function	dcf settings query get retreive	https://tio.run/##SyzI0U2pTMzJT///vyRP4VHbBAX1tMycVL2U5DR1hUd9U92cg1wdQ1wVDLiAHLB0KEQ8IMg/IFihJO//fwA	https://help.dyalog.com/latest/#Language/System%20Functions/fprops.htm
r←{flags} ⎕NPARTS files	Splits files into paths, base names and extensions (normalising files if flags=1)	System	Function	Native Files	System Function	directory parse	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAlF@AY1BIsIJ6YkFOcmJRiX5JYlJOql5JcZk6F1SRIX5l//8DAA	https://help.dyalog.com/latest/#Language/System%20Functions/nparts.htm
r←{format_spec} ⎕FMT x	Convert x into character matrix according to spec	System	Function	Data Conversion	System Function	displayform formatbyspecification cobolpictureformat fortranformatter ⎕df ⍕ table converting change changing	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUPY113Ez1jNQVgAJuviEKRgomj3q3POrdbMEFU@Jt5P6oq8nFVyFKLyoKhC11LC0fdTXD9RgaGZuYmpnrWViCmXqmZv//AwA	https://help.dyalog.com/latest/#Language/System%20Functions/Format%20Dyadic.htm
r←{selectors} ⎕ATX names	Attributes of names	System	Function	System	System Function	type syntax valence arity shyness locked niladicmonadicdyadicambivalent functionoperator variadic properties author timestamp modificationtime result author last edit datetimestamp datetimenumber date-time local ⎕SIZE bytes source src locked displayable suspendable interruptable interruptible supra-class sub-class supraclass subclass syntactic role rôle encoding checksum lineseparator lineending eol where file position offset length lines loc verbatim as-typed normalised normalized autoformatted auto-formatted best	https://tio.run/##SyzI0U2pTMzJT////1FHu0J1Ue2jtgl@mTmJKcEZGVxAIS4QoVCh4FKZmKJQiRDRSFPwzS/w1UQSqq6ohYg6aqIqdAEqVEiHCXI96psKtERB41HXIh0g2zFEE0j6@SgcWm8MxCb//wMA	https://help.dyalog.com/latest/#Language/System%20Functions/atx.htm
r←{selector} ⎕AT names	Syntactical attributes of named functions or operators	System	Function	System	System Function	type syntax valence arity shyness locked niladicmonadicdyadicambivalent functionoperator variadic properties author timestamp modificationtime result	https://tio.run/##SyzI0U2pTMzJT////1FHu0J1Ue2jtgl@mTmJKcEZGVxAIS4QoVCh4FKZmKJQiRDRSFPwzS/w1UQSqq6ohYg6aqIqdAEqVEiHCXI96psKtERB41HXIh0g2zFEE0j6@SgcWm8MxCb//wMA	https://help.dyalog.com/latest/#Language/System%20Functions/at.htm
r←{encoding} ⎕UCS vec	Map characters to/from Unicode code points	System	Function	Data Conversion	System Function	utf-8 utf8 utf-16 utf16 utf-32 utf32 ucs-4 ucs4 ucs-2 ucs2 iso10646 ord() num() chr() char() ascii latin-1 windows-1252 ansi mapping UniversalCodedCharacterSet UniversalCharacterSet codepoints code-points converting change changing text string integers values vals	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAVKhzsIK6o5OzOheqmKGBgYIREBsbGMBk1END3HQt1OG6HvXu0gKy1f//BwA	https://help.dyalog.com/latest/#Language/System%20Functions/ucs.htm
r←{xml_options} ⎕XML data	XML string to/from APL array	System	Function	Data Conversion	System Function	extensiblemarkuplanguage xhtmltag xmltag converting change changing text	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAVISvj4K6TVF@folCYklJkaGtUllijqESmGME5hgp2WXmlRTl2yTlp1Ta2eTnperb2eiDOcn5eSWpeSU2@iD9dupcqMYaKRg/6t1ioKAOklVXUFdXMAQR6mDT1P//BwA	https://help.dyalog.com/latest/#Language/System%20Functions/xml.htm
tkrange←⎕TALLOC 1 {description}	Allocate token range	System	Function	System	System Function	synchronisation synchronization parallel threading greenthreading reserve allocating reserving		https://help.dyalog.com/latest/#Language/System%20Functions/talloc.htm
{⍬}←output ⎕ARBOUT codes	Transmit 8-bit codes to output device	System	Function	System	System Function	streams arbitrary i/o bytes byte-stream bits	https://tio.run/##SyzI0U2pTMzJT///Xz23Mi0zJ1Vd4VHfVD/nIFfHEFeFQ@sNuYAYJOQY5OQfGqJgaa5gaaFgackFFHrUNuFRVzNIubtriAJM////AA	https://help.dyalog.com/latest/#Language/System%20Functions/arbout.htm
{⍬}←tkrange ⎕TALLOC ¯1	De-allocate token range	System	Function	System	System Function	synchronisation synchronization parallel threading greenthreading deallocate deallocating de-allocating unreserving unreserve un-reserving un-reserve		https://help.dyalog.com/latest/#Language/System%20Functions/talloc.htm
{0}←⎕SIGNAL 0	Reset error-related system constants	System	Function	Error Message	System	clear	https://tio.run/##SyzI0U2pTMzJT/8PBCmlubmVCo/aJihUG1hZGSg86m5RUHdUP7xd3Um99lHvGq5HfVNBso/aJgJZLr4gfrCnu5@jj4IBuhwA	https://help.dyalog.com/latest/#Language/System%20Functions/signal.htm
{1}←0 ⎕SAVE file	Save active ws without stack, ignoring any open edit or trace windows	System	Function	File Access	System Function	archive store )save no ignoring cutting removing state suspended suspension		https://help.dyalog.com/latest/#Language/System%20Functions/save.htm
(message code position)←⎕DM	Diagnostic message for last reported APL error	System	Constant	Error Message	System	failure	https://tio.run/##SyzI0U2pTMzJT/8PBNUGVlYKj9omPuqb6uKr8Ki7RcFQ@1Hv1lr1xKRkdQA	https://help.dyalog.com/latest/#Language/System%20Functions/dm.htm
{boolvec}←⎕EX names	Delete named objects from the active workspace (1 if each name is now free for use, else 0)	System	Function	System	System Function	unbinding unassigning deassigning clearing expunge expunging erase erasing remove removing items )erase dropping variables operators namespaces GUI classes interfaces instances eliminate eliminating deleting SYNTAX ERROR: Can't change nameclass on assignment Invalid modified assignment, or an attempt was made to	https://tio.run/##SyzI0U2pTMzJT/8PBGWJOY/aJpgYcT3qmwpkALlQFpB0jVBQBwqoI@QA	https://help.dyalog.com/latest/#Language/System%20Functions/ex.htm
{counts}←destination ⎕NMOVE sources	Move files/directories from 'sources' to 'destination'	System	Function	Native Files	System Function	moving renaming rename	https://tio.run/##SyzI0U2pTMzJT///Xz0xKVld4VHfVL@A0BAF9bTMnFS9kooSdS71vNRyMAss6esf5oosCxR71DZB4VFXM0jW3RWoFaYeLgeUcI3wDA4JRtL4/z8A	https://help.dyalog.com/latest/#Language/System%20Functions/nmove.htm
{counts}←destination ⎕NCOPY sources	Copy files/directories from 'sources' to 'destination'	System	Function	Native Files	System Function	copying	https://tio.run/##SyzI0U2pTMzJT///Xz0xKVld4VHfVL@A0BAF9bTMnFS9kooSdS71vNRyMAss6ewfEIksCxR71DZB4VFXM0jW3RWoFaYeLgeUcI3wDA4JRtL4/z8A	https://help.dyalog.com/latest/#Language/System%20Functions/ncopy.htm
{num}←⎕DL num	Delay and return seconds actually delayed	System	Function	System	System Function	await() sleep() idle	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAVEgwF5B08VEw1DPlQhb@/x8A	https://help.dyalog.com/latest/#Language/System%20Functions/dl.htm
{offset}←x ⎕NAPPEND tn type	Append x using internal representation type to file tied with number tn	System	Function	Native Files	System Function	extend concatenate	https://tio.run/##SyzI0U2pTMzJT///vyRP4VHbBAX1tMycVL2SihJ1hUd9U/2cg1wdQ1wVDLjUE5OSIUKOAQGufi4KJXlcZqYKZmYKZuZowkAeyKRHXc1gCXfXECRT//8HAA	https://help.dyalog.com/latest/#Language/System%20Functions/nappend.htm
(rows columns)←⎕SD	Screen dimensions of terminal or ⎕SM window	System	Constant	Workspace	System Function	console terminfo termcap	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtE4BksMv//wA	https://help.dyalog.com/latest/#Language/System%20Functions/sd.htm
{r}←⎕DQ object	Process events generated by object(s)	System	Function	Native Files	System	dequeue wait		https://help.dyalog.com/latest/#Language/System%20Functions/dq.htm
{r}←⎕SAVE file	Save active ws with stack; r←1 now, and 0 when reloaded	System	Function	File Access	System Function	archive store )save continue execution suspended suspension state		https://help.dyalog.com/latest/#Language/System%20Functions/save.htm
{r}←⎕SHADOW names	Make names local to most recently invoked defined fn	System	Function	Workspace	System Function	localise localize encapsulate shield scope localisation localization declare declaring declaration	https://tio.run/##SyzI0U2pTMzJT///vyyx6FHbBBMjrkcd7Qpp@flcCgqP@qYChYCkn7M6UFodIhTs4ejiHw4WUFDPyU9OzFHHrhYsBxRUL05NLkotUQeZ/P8/yGiIMoheAA	https://help.dyalog.com/latest/#Language/System%20Functions/shadow.htm
{tns}←⎕NUNTIE tns	Untie one or more files	System	Function	Native Files	System Function	close file descriptors handles release	https://tio.run/##SyzI0U2pTMzJT///vyTPUeFR2wQF9bTMnFRHvZKKEnWFR31T/ZyDXB1DXBUMuErynBAKnLAqcEYocMaiAMgByYPE/EJ9g0F8v1C/EE9XBaDZeGUdsan4/x8A	https://help.dyalog.com/latest/#Language/System%20Functions/nuntie.htm
{tns}←⎕FUNTIE tns	Untie one or more component files	System	Function	Component Files	System Function	close file descriptors handles dcf release	https://tio.run/##SyzI0U2pTMzJT///vyTPUeFR2wQF9bTMnFRHvZTkNHWFR31T3ZyDXB1DXBUMuErynBAKnLAqcEYocMaiAMgByYPE/EJ9g0F8t1C/EE9XBaDZeGUdsan4/x8A	https://help.dyalog.com/latest/#Language/System%20Functions/funtie.htm
{tn}←file ⎕NCREATE tn	Create file tied with number tn (tn 0 to generate tn)	System	Function	Native Files	System Function	make new	https://tio.run/##SyzI0U2pTMzJT///Xz0tMyfVUa@kokRd4VHfVD/nIFfHEFcFAy6whBMWCSDnUdsEBQ2QoKefm/@j3gWGmupaYJX//wMA	https://help.dyalog.com/latest/#Language/System%20Functions/ncreate.htm
{tn}←file ⎕NERASE tn	Erase tied file tied with number tn	System	Function	Native Files	System Function	delete remove expunge drop without removing erasing eliminate eliminating deleting	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0gLSfp5@b/6PeBYaa6lrqXCV5CiAJdb3k/JRUvZLMfHUFkJoQT1cFAy50Udcgx2BXhZI8LlzG/f8PAA	https://help.dyalog.com/latest/#Language/System%20Functions/nerase.htm
{tn}←file ⎕NRENAME tn	Rename tied file to have name file	System	Function	Native Files	System Function	move	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0gLSfp5@b/6PeBYaa6lrqXCV5CiAJdb3k/JRUvZLMfHUFkJoQT1cFAy51vdSU/GSEaJCrn6Ovq0JJHhcu8/7/BwA	https://help.dyalog.com/latest/#Language/System%20Functions/nrename.htm
state|data←{settings} ⎕PROFILE action	“Profile” CPU or elapsed time consumption of code	System	Function	System	System Function	performance monitor statistics stats observe processor resources	https://tio.run/##SyzI0U2pTMzJT///3y0zKT8vMTk581HbhGoFEHjUO1chJDEzR7coNbm0qDizLFUBrkiPC6JiF1C1gYIhlLfV1sDqUe@aR71bgDJgMQ3DR22TgRwdbX0gqfmoox2kTNeQq/b//0d9UwOC/N08fVwV1ItLEotK1Lng5iuYI7FNjLhQ1eYXqINEgHYrIEukJJYkqgMA	https://help.dyalog.com/latest/#Language/System%20Functions/profile.htm
ref←{class/interface} ⎕CLASS instance	Extract specific interface to an instance	System	Function	Data Conversion	System Function	parents ancestors converting change changing		https://help.dyalog.com/latest/#Language/System%20Functions/class.htm
t←{properties} ⎕NINFO tns/files	Return values of properties for tns/files	System	Function	Native Files	System Function	dir directory directories folders ls list information vector	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9XY@apuoYKhgpGCgoAEU9PP0c/N/1LvAUFNBXV9L/f9/AA	https://help.dyalog.com/latest/#Language/System%20Functions/ninfo.htm
⎕IO←(1,0)	Specifies whether array indices are counted from 0 or 1	System	Variable		Index Generation	indexing counting numbering natrualnumbers origin one zero based ordinals	https://tio.run/##SyzI0U2pTMzJT////1HfVE9/hUdtExQMuIBsEONR72YFExhHPSM1JydfPdoolosLodaQgNr//wE	https://help.dyalog.com/latest/#Language/System%20Functions/io.htm
⎕DIV←(0,1)	0: 1=0÷0, all other÷0 error; 1: 0=all÷0	System	Variable		Mathematical	divisionbyzero divisionmethod divmethod nan indeterminate	https://tio.run/##SyzI0U2pTMzJT/8PBI/6prp4hik8apugYMgF5IAYBgqHtysYwHjmEB4XkkoDfCoB	https://help.dyalog.com/latest/#Language/System%20Functions/div.htm
⎕FR←(645,1287)	Specifies the result type of floating-point computations	System	Variable		Mathematical	64-bit binaryfloatingpoint IEEE754-2008 128-bit decimalfloatingpoint internal representation	https://tio.run/##SyzI0U2pTMzJT/8PBI/6proFKTxqm6BgaGRhzmVoYKBlZGDAxYUQNzMxhQkDAA	https://help.dyalog.com/latest/#Language/System%20Functions/fr.htm
names←{init_chars} ⎕NL ¯2.1	List names of existing variables, optionally filtered	System	Function	Workspace	System Function	available active names namelist	https://tio.run/##SyzI0U2pTMzJT///38o5J7G4WCGZSwEIrNwyU3NSFNIetU1QTwMx1cHCZSB@WWJRZmJSTipEyCqgKL8gtaikUqEAzAeBRx3tCkVApe6pJQoVcFEFsJh6AVC9OrJSiDGueSkwk7iQzfDzgRth5ZicnAp0YkFpUk5mMhfCzEd9U@HKQAaCDAP75v//TKi0azjQZ5l6QGWH1hvpGQIA	https://help.dyalog.com/latest/#Language/System%20Functions/nl.htm
names←{init_chars} ⎕NL ¯2.2	List names of existing fields, optionally filtered	System	Function	Workspace	System Function	available active names namelist	https://tio.run/##SyzI0U2pTMzJT///38o5J7G4WCGZSwEIrNwyU3NSFNIetU1QTwMx1cHCZSB@WWJRZmJSTipEyCqgKL8gtaikUqEAzAeBRx3tCkVApe6pJQoVcFEFsJh6AVC9OrJSiDGueSkwk7iQzfDzgRth5ZicnAp0YkFpUk5mMhfCzEd9U@HKQAaCDAP75v//TKi0azjQZ5l6QGWH1hvpGQEA	https://help.dyalog.com/latest/#Language/System%20Functions/nl.htm
names←{init_chars} ⎕NL ¯2.3	List names of existing properties, optionally filtered	System	Function	Workspace	System Function	available active names namelist	https://tio.run/##SyzI0U2pTMzJT///38o5J7G4WCGZSwEIrNwyU3NSFNIetU1QTwMx1cHCZSB@WWJRZmJSTipEyCqgKL8gtaikUqEAzAeBRx3tCkVApe6pJQoVcFEFsJh6AVC9OrJSiDGueSkwk7iQzfDzgRth5ZicnAp0YkFpUk5mMhfCzEd9U@HKQAaCDAP75v//TKi0azjQZ5l6QGWH1hvpGQMA	https://help.dyalog.com/latest/#Language/System%20Functions/nl.htm
names←{init_chars} ⎕NL ¯2.6	List names of existing external variables and properties, optionally filtered	System	Function	Workspace	System Function	available active names namelist	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAVLCrHpD081E4tN5Iz@z/fwA	https://help.dyalog.com/latest/#Language/System%20Functions/nl.htm
names←{init_chars} ⎕NL ¯3.1	List names of existing tradfns, optionally filtered	System	Function	Workspace	System Function	available active names namelist traditional functions	https://tio.run/##SyzI0U2pTMzJT////1FHu4JGhUKF5qO2CSFFiSlueQoVXEBBLpe0PKBQ9aPerQpAXMsFlMwEiTzqatIBYqDOvql@PgqH1hvrGQIA	https://help.dyalog.com/latest/#Language/System%20Functions/nl.htm
names←{init_chars} ⎕NL ¯3.2	List names of existing dfns, optionally filtered	System	Function	Workspace	System Function	available active names namelist direct dynamic d-functions	https://tio.run/##SyzI0U2pTMzJT////1FHu4JGhUKF5qO2CSFFiSlueQoVXEBBLpe0PKBQ9aPerQpAXMsFlMwEiTzqatIBYqDOvql@PgqH1hvrGQEA	https://help.dyalog.com/latest/#Language/System%20Functions/nl.htm
names←{init_chars} ⎕NL ¯3.3	List names of existing derived and primitive functions and trains, optionally filtered	System	Function	Workspace	System Function	available active names namelist tacit	https://tio.run/##SyzI0U2pTMzJT////1FHu4JGhUKF5qO2CSFFiSlueQoVXEBBLpe0PKBQ9aPerQpAXMsFlMwEiTzqatIBYqDOvql@PgqH1hvrGQMA	https://help.dyalog.com/latest/#Language/System%20Functions/nl.htm
names←{init_chars} ⎕NL ¯3.6	List names of existing methods and external functions, optionally filtered	System	Function	Workspace	System Function	available active names namelist	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAVLCrHpD081E4tN5Yz@z/fwA	https://help.dyalog.com/latest/#Language/System%20Functions/nl.htm
names←{init_chars} ⎕NL ¯4.1	List names of existing tradops, optionally filtered	System	Function	Workspace	System Function	available active names namelist traditional operators	https://tio.run/##SyzI0U2pTMzJT/8PBI862hWKHrVN0HBTCClKTPEv0FSo4FIAC7kpuAHZQAVcLvkFQH71o95dQKQAp7bWcrmkFpX5gyQf9S424uJ61DfVz0fh0HoTPUMA	https://help.dyalog.com/latest/#Language/System%20Functions/nl.htm
names←{init_chars} ⎕NL ¯4.2	List names of existing dops, optionally filtered	System	Function	Workspace	System Function	available active names namelist dynamic direct d-operators	https://tio.run/##SyzI0U2pTMzJT/8PBI862hWKHrVN0HBTCClKTPEv0FSo4FIAC7kpuAHZQAVcLvkFQH71o95dQKQAp7bWcrmkFpX5gyQf9S424uJ61DfVz0fh0HoTPSMA	https://help.dyalog.com/latest/#Language/System%20Functions/nl.htm
names←{init_chars} ⎕NL ¯4.3	List names of existing derived and primitive operators optionally filtered	System	Function	Workspace	System Function	available active names namelist tacit	https://tio.run/##SyzI0U2pTMzJT/8PBI862hWKHrVN0HBTCClKTPEv0FSo4FIAC7kpuAHZQAVcLvkFQH71o95dQKQAp7bWcrmkFpX5gyQf9S424uJ61DfVz0fh0HoTPWMA	https://help.dyalog.com/latest/#Language/System%20Functions/nl.htm
names←{init_chars} ⎕NL ¯8.6	List names of existing external events, optionally filtered	System	Function	Workspace	System Function	available active names namelist )events	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAVLCrHpD081E4tN5Cz@z/fwA	https://help.dyalog.com/latest/#Language/System%20Functions/nl.htm
names←{init_chars} ⎕NL ¯9.1	List names of existing namespaces, optionally filtered	System	Function	Workspace	System Function	available active names namelist	https://tio.run/##SyzI0U2pTMzJT///38ovMTe1uCAxOVUhj8vKNS8Fzueycs5JLC5WSAYLg9n//2c@apvwqG@qn2s4UBzE8FE4tN5SzxAA	https://help.dyalog.com/latest/#Language/System%20Functions/nl.htm
names←{init_chars} ⎕NL ¯9.2	List names of existing instances, optionally filtered	System	Function	Workspace	System Function	available active names namelist	https://tio.run/##SyzI0U2pTMzJT///38ovMTe1uCAxOVUhj8vKNS8Fzueycs5JLC5WSAYLg9n//2c@apvwqG@qn2s4UBzE8FE4tN5SzwgA	https://help.dyalog.com/latest/#Language/System%20Functions/nl.htm
names←{init_chars} ⎕NL ¯9.4	List names of existing classes, optionally filtered	System	Function	Workspace	System Function	available active names namelist )classes	https://tio.run/##SyzI0U2pTMzJT///38ovMTe1uCAxOVUhj8vKNS8Fzueycs5JLC5WSAYLg9n//2c@apvwqG@qn2s4UBzE8FE4tN5SzwQA	https://help.dyalog.com/latest/#Language/System%20Functions/nl.htm
names←{init_chars} ⎕NL ¯9.5	List names of existing interfaces, optionally filtered	System	Function	Workspace	System Function	available active names namelist		https://help.dyalog.com/latest/#Language/System%20Functions/nl.htm
names←{init_chars} ⎕NL ¯9.6	List names of existing external classes, optionally filtered	System	Function	Workspace	System Function	available active names namelist )classes		https://help.dyalog.com/latest/#Language/System%20Functions/nl.htm
names←{init_chars} ⎕NL ¯9.7	List names of existing external interfaces, optionally filtered	System	Function	Workspace	System Function	available active names namelist		https://help.dyalog.com/latest/#Language/System%20Functions/nl.htm
r←(⎕NEXISTS⍠1)files	Return 1 if files (with ? and * globbing) exist, else 0	System	Function	Native Files	System Function	present check lookfor	https://tio.run/##SyzI0U2pTMzJT///Xz0xKdnQyFhd4VHfVD/nIFfHEFcFAy4g51HbBAUNkKBrhGdwSPCj3gWGmgog1VrqCuopqWla6v//AwA	https://help.dyalog.com/latest/#Language/System%20Functions/nexists.htm
r←(⎕CSV⍠1)data	Convert CSV data to APL inverted table (character data as matrices)	System	Function	Data Conversion	System Function	tsv import parse commaseparatedvalues tabseparatedvalues characterseparatedvalues matrix tables converting change changing	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0gLRzcNij3gWGmgqPuprU/Rx9XXWCQ528XJ1D1BXUi/NzU0syMvPSdRKT8ktLFDJLgIL5JRmpRVCBkozEEvX//wE	https://help.dyalog.com/latest/#Language/System%20Functions/csv.htm
r←(⎕CSV⍠2)data	Convert CSV data to APL inverted table (character data as vectors of vectors)	System	Function	Data Conversion	System Function	tsv import parse commaseparatedvalues tabseparatedvalues characterseparatedvalues matrix lists converting change changing	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0gLRzcNij3gVGmgqPuprU/Rx9XXWCQ528XJ1D1BXUi/NzU0syMvPSdRKT8ktLFDJLgIL5JRmpRVCBkozEEvX//wE	https://help.dyalog.com/latest/#Language/System%20Functions/csv.htm
r←{object} ⎕WG props…	The values of the properties of an object	System	Function	Native Files	System	window gui get fetch query	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAVLAriAx3V1APqSxIVVdQdy4tCi5ITE5V54IqUoYpcAzwCUstKs7Mz1P//x8A	https://help.dyalog.com/latest/#Language/System%20Functions/wg.htm
⎕ML←(0≤1≤3)	Degree of compatibility with IBM APL2 (from 0=low to 3=high)	System	Variable		System	migration level conformance APLX APL*PLUS GNUAPL APL+Win APL2000 NARS2000 ≡↑⊃ depth first mix ⎕TC terminalcontrolcharacters migrate behaviour behavior 1st	https://tio.run/##SyzI0U2pTMzJT////1HfVF@fR20TDLiALCCt8KijS8HQQMPIQMHYQJMLJm2IUxos2LkQix4jnNIgQUMFA4VHXU1Y9BnjVPL/PwA	https://help.dyalog.com/latest/#Language/System%20Functions/ml.htm
⎕PP←(1≤10≤34)	Number of significant digits in the display of numeric output	System	Variable		Data Conversion	printing precision decimals rounding converting change changing	https://tio.run/##SyzI0U2pTMzJT////1Hf1IAAhUdtExQMDbiAHBDLyOjwdnMuJBljXDKoEv//AwA	https://help.dyalog.com/latest/#Language/System%20Functions/pp.htm
⎕PW←(42≤76≤32767)	Print width: Number of columns to print before wrapping to next line	System	Variable	System	System Function	printing margin wide window session output ride tty lengthen terminal width characters per	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9W42MuUCcgLCFUB8EyMuZJn//wE	https://help.dyalog.com/latest/#Language/System%20Functions/pw.htm
⎕RTL←(0≤0≤32767)	Response time limit (seconds, 0:none) for ⍞, ⎕ARBIN, and ⎕SR input (signals 1006 if exceeded)	System	Variable	System	System Function	timeout interrupt user wait period		https://help.dyalog.com/latest/#Language/System%20Functions/rtl.htm
codes←terminate (input {output}) ⎕ARBIN codes	Read from input device, optionally after transmitting 8-bit codes to output device	System	Function	System	System Function	streams arbitrary i/o bytes byte-stream bits	https://tio.run/##SyzI0U2pTMzJT////1Hf1GAP9dzstMy0fAU9fRClzpWZ96htgjqUB1ThF@LpqmDAlV9aglUcyAKKaxgaKGhk5ikAVWlqAoUcg5w8/RSAjFDnYBDlAlP3qHcNFoWGBv//AwA	https://help.dyalog.com/latest/#Language/System%20Functions/arbin.htm
r←{tn} (regex ⎕R trans) text	Replace text selected by regex using trans (optional tn to spool output to native file tied with number tn)	System	Operator	Data Conversion	System Function	regexp substitute pcre perlcompatibleregularexpression converting change changing string regular expression	https://tio.run/##TczNDsFAFAXgvae4q14i@g6ECIlNJTZqMWmHNsZMdaZ/xNZKxcbSY1h6mXmRmlKJuzr35OQjEev5BWFiU1WK5gr0@QY4nSxGQ1iLvMeLXRTA2OkP5rBPQm8LGWHqYGNLX@/1to1LQkORrBDQRjCtA@gmlnldZmEHPiro8gFJFNHYI5JCKjLKJBDuAzPxW3qCS8EJV/Jno5t1G/KoLy9dPu0ZUV5watC/q/2YpjQ2UCZiX1bVGw	https://help.dyalog.com/latest/#Language/System%20Functions/r.htm
r←{tn} (regex ⎕S trans) text	Search text for PCRE regex returning trans (optional tn to spool output to native file tied with number tn)	System	Operator	Data Conversion	System Function	regexp find locate perlcompatibleregularexpression locating location converting change changing string regular expression	https://tio.run/##SyzI0U2pTMzJT///vyS1okThUdsEBXUvzzBXF4W0/ArdvMrcggwF9yBHp2CFwtLM5GyF8sSckio9da5HfVNBajXUY8q11RWAvGAFQ00FsBkw8Kh3rkJ5flGKQk5qXnpJRjFCT3RiamZ@aSxMo7qaOkwrSE9ZfnlqDlw1kgXVj3r2PurdquebWJKcUYukoyi1LLWoODUFbF3x//8A	https://help.dyalog.com/latest/#Language/System%20Functions/s.htm
{file}←{file} ⎕XT name	Set/report external variable association	System	Function	System	System Function	memory on-disk apl.sv aplsv	https://tio.run/##SyzI0U2pTMzJT/8PBOqJRUWJleoKj/qmRoQoqJclFqlzAYlHbRMe9W42NFB41N2iYASS9fP0c/NXgClXeNQ7VyEtMydVoTizKhWhwwiXDoQSY1xKAA	https://help.dyalog.com/latest/#Language/System%20Functions/Set%20External%20Variable.htm
(vector encoding newline)←{encoding} ⎕NGET file	Read Unicode text file simple content, encoding, and linebreaks	System	Function	Native Files	System Function	fetch load ascii ansi Windows-1252 UTF-8 UTF-16LE UTF-16BE UTF-32LE UTF-32LE charvec charactervector textvector single one long string	https://tio.run/##SyzI0U2pTMzJT///X90jNScnX13hUd9Uv4DQEAX13Mq0zJxUvZKKEnUuoOCjtglgOXdXVLn//wE	https://help.dyalog.com/latest/#Language/System%20Functions/nget.htm
(vector_of_vectors encoding newline)←{encoding} ⎕NGET file 1	Read Unicode text file nested content, encoding, and linebreaks	System	Function	Native Files	System Function	fetch load ascii ansi Windows-1252 UTF-8 UTF-16LE UTF-16BE UTF-32LE UTF-32LE vtv lines strings string vector	https://tio.run/##SyzI0U2pTMzJT///X90jNScnX13hUd9Uv4DQEAX13Mq0zJxUvZKKEnUuoOCjtgkKj7qagQisxN0VVYmC4f//AA	https://help.dyalog.com/latest/#Language/System%20Functions/nget.htm
{cn}←⎕FDROP tn n {pn}	Drop n components from start (n>0) or end (n<0) of file tied with number tn (pn is optional passnumber)	System	Function	Component Files	System Function	dcf remove trim slice resize cap clamp beginning trailing delete leading ending without removing erasing erase eliminate eliminating deleting	https://tio.run/##SyzI0U2pTMzJT///vyRP4VHbBAX13Mq0zJxUdYVHfVPdnINcHUNcFQy41D1Sc3LyIYKOAQGufi4KJXlc6uH5RTkp6KJAHtAgkFiwZ5QrVMTNJcg/AMhWOLTeEFPF//8A	https://help.dyalog.com/latest/#Language/System%20Functions/fdrop.htm
{cn}←x ⎕FREPLACE tn cn {pn}	Store array x in component number cn of file tied with number tn (pn is optional passnumber)	System	Function	Component Files	System Function	dcf put overwrite		https://help.dyalog.com/latest/#Language/System%20Functions/freplace.htm
{counts}←{flags} ⎕NDELETE files	Delete files (if flags 1, tolerate 'file not found')	System	Function	Native Files	System Function	erase remove expunge )drop without removing erasing eliminate eliminating deleting		https://help.dyalog.com/latest/#Language/System%20Functions/ndelete.htm
{created}←{flags} ⎕MKDIR dir	Create or ensure existence of directory dir	System	Function	Native Files	System Function	md newfolder make		https://help.dyalog.com/latest/#Language/System%20Functions/mkdir.htm
{end_offset}←x ⎕NREPLACE tn offset {type}	Write x to file tied with number tn at offset as type	System	Function	Native Files	System Function	overwrite		https://help.dyalog.com/latest/#Language/System%20Functions/nreplace.htm
{linenos}←{linenos} ⎕MONITOR name	Set/report the current state of performance monitoring for a function	System	Function	System	System Function	define query speed measure	https://tio.run/##SyzI0U2pTMzJT////1FHu0LRo7YJbvn51onWSVwKColAnr2pgYECED/q3WIAFEoCCj3q2ZkIZBaBmV0Geqbaidp6h6cncQFN4DJUMFIwVnjUN9XX388zxD9IQR1onrqCwqPeuQrBqSUKufl5mSX5RVxAUQVsAKQuqDRPIa00L7kkMz@PC2gU0CINIOUXpKPuk5mXqq6gDlRRDKScA0KBZEh@SWIOkPbTd1R/1LsKYbcmsuW@EIsVCktTiyr//wcA	https://help.dyalog.com/latest/#Language/System%20Functions/Set%20Monitor.htm
{linenos}←{linenos} ⎕STOP name	Set/report the current state of stops for a function	System	Function	System	System Function	S∆ define query halt inspect breakpoint	https://tio.run/##SyzI0U2pTMzJT/8PBI862hXc8vO5FBQe9U191DZBPSk1Lb8oVR0hkJuZkpKDLJCUWpmfl6LOBdTKZQwSDA7xD1BQB5qizgUkAA	https://help.dyalog.com/latest/#Language/System%20Functions/Set%20Stop.htm
{linenos}←{linenos} ⎕TRACE name	Set/report the current state of tracing for a function	System	Function	System	System Function	T∆ define query monitor	https://tio.run/##SyzI0U2pTMzJT////1FHu4JGskKK5qO2CS7BPgrF2ZkF1onWSVwKColAIaPD0421TYCcJCBHw0jB@FHvFvXEpOSU1DR1zUSg@KO2SX6uESGHpz/q3QzSCxRSB9EFqSkKOZl5qepcCiB5q2SgfvV8IF/hUXeLQgqIV1Ker84FtJ/LQMFQAWi0gomCqcKjvqkhQY7OrgrqQNeoc4GcZPj/PwA	https://help.dyalog.com/latest/#Language/System%20Functions/Set%20Trace.htm
{names}←{etypes} ⎕ED names	Open one or more objects (names) of types etypes in the Editor	System	Function	System	System Function	create creating modify code source definition define value )editing		https://help.dyalog.com/latest/#Language/System%20Functions/ed.htm
{name}←{name} ⎕NA fn_desc	Associate name with external DLL function	System	Function	System	System Function	.dll .so .dylib .a c++ dynamiclinkedlibrary sharedlibrary dynamiclibrary		https://help.dyalog.com/latest/#Language/System%20Functions/na.htm
{old_ns}←{names} ⎕CS ns	Switch to a ns, optionally exporting names	System	Function	System	System Function	change navigate enter namespace into current ⎕this )cs converting changing	https://tio.run/##SyzI0U2pTMzJT/8PBI/6pjpHqqeWJeaoc4HYweqpFQVgpp@PwqH1xgA	https://help.dyalog.com/latest/#Language/System%20Functions/cs.htm
{ref}←{flags} ⎕FIX source	Define objects from source (vector of vectors or file name starting with 'file://')	System	Function	Data Conversion	System Function	⎕fx allow keeping text-as-typed save saving remembering white-spaces indents indentation code autoformatting auto-formatting layout custom text-as-is preservation source-as-typed code operator namespace class interface lists converting change changing load open fetch get bringin import	https://tio.run/##SyzI0U2pTMzJT////1HfVDfPCHUrv8Tc1OKCxORUhbT8fHUF9bLEokdtE0yMgEwr17wUuLQ6F1AHUAakTA@o6P9/AA	https://help.dyalog.com/latest/#Language/System%20Functions/fix.htm
{tdno}←{tkval} ⎕TPUT tktype	Add tokens to pool and return any tdno this unblocks	System	Function	System	System Function	synchronisation synchronization parallel threading greenthreading		https://help.dyalog.com/latest/#Language/System%20Functions/tput.htm
{tkval}←{timeout} ⎕TGET tktype	Remove tokens of types tktype from the token pool	System	Function	System	System Function	synchronisation synchronization parallel threading greenthreading delete drop without removing erasing erase eliminate eliminating deleting		https://help.dyalog.com/latest/#Language/System%20Functions/tget.htm
{tn}←{timeout} ⎕FHOLD tn {pn}	Hold tied file tied with number tn and optionally passnumber pn (can be a matrix of tn {pn}) and time-out in milliseconds	System	Function	Component Files	System Function	dcf block wait synchronisation synchronization parallel threading greenthreading		https://help.dyalog.com/latest/#Language/System%20Functions/fhold.htm
{tn}←file ⎕NTIE tn {file_mode}	Tie a file with number tn in the specified mode (tn 0 to generate tn)	System	Function	Native Files	System Function	open file descriptor handle	https://tio.run/##SyzI0U2pTMzJT///Xz0xKVn9Ud9Uv4DQEPW0zJxUvZKKEnWukjyFR20TFBAiICUhnq4KBlxAFkgKJBDsGeWqUJL3/z8A	https://help.dyalog.com/latest/#Language/System%20Functions/ntie.htm
{tn}←file ⎕FCOPY tn {pn}	Create copy of named file tied to tn (pn is optional passnumber)	System	Function	Component Files	System Function	dcf duplicate	https://tio.run/##SyzI0U2pTMzJT///vyTPUeFR2wQF9bTMnFRHdYVHfVPdnINcHUNcFQy4SvKcEJJOUEn/gEgFoC4uIAckpwGk/Tz93Pwf9S4w1FTX0ktJTlP//x8A	https://help.dyalog.com/latest/#Language/System%20Functions/fcopy.htm
{tn}←file ⎕FCREATE tn {64}	Create new component in file tied with number tn	System	Function	Component Files	System Function	dcf touch make	https://tio.run/##SyzI0U2pTMzJT///Xz0tMyfVUV3hUd9UN@cgV8cQVwUDLrCgE5ogkPOobYKCBpD28/Rz83/Uu8BQU11LLyU5Tf3/fwA	https://help.dyalog.com/latest/#Language/System%20Functions/fcreate.htm
{tn}←file ⎕FERASE tn {pn}	Erase exclusively-tied file tied with number tn (pn is optional passnumber)	System	Function	Component Files	System Function	dcf delete expunge remove drop without removing erasing eliminate eliminating deleting	https://tio.run/##SyzI0U2pTMzJT///vyTPUeFR2wQF9bTMnFRHdYVHfVPdnINcHUNcFQy4SvKcEJJOaJJADkhOA0j7efq5@T/qXWCoqa6ll5Kcps6FrMM1yDHYVQFoFl4t//8DAA	https://help.dyalog.com/latest/#Language/System%20Functions/ferase.htm
{tn}←file ⎕FRENAME tn {pn}	Rename exclusively-tied file tied with number tn (pn is optional passnumber)	System	Function	Component Files	System Function	dcf	https://tio.run/##SyzI0U2pTMzJT///vyRP4VHbBAX1tMycVEd1hUd9U92cg1wdQ1wVDLjAgk4QwSBXP0dfV4WSPC4gD6RDA0j7efq5@T/qXWCoqa6ll5Kcpv7/PwA	https://help.dyalog.com/latest/#Language/System%20Functions/frename.htm
{tn}←file ⎕FSTIE tn {pn}	Share-tie component in file tied with number tn (pn is optional passnumber)	System	Function	Component Files	System Function	dcf multiple parallel open file descriptor handle		https://help.dyalog.com/latest/#Language/System%20Functions/fstie.htm
{tn}←file ⎕FTIE tn {pn}	Exclusively tie component file with number tn (tn 0 to generate tn, pn is optional passnumber)	System	Function	Component Files	System Function	dcf single open file descriptor handle	https://tio.run/##SyzI0U2pTMzJT///Xz0tMyfVUV3hUd9UN@cgV8cQVwUDLhAn1C/E01UBLO2EKf2obQJYzC/UN5irJA/ERVYK0oqh7v9/AA	https://help.dyalog.com/latest/#Language/System%20Functions/ftie.htm
{tn}←ax_mx ⎕FSTAC tn {pn}	Set access matrix for file tied with number tn (pn is optional passnumber)	System	Function	Component Files	System Function	dcf table		https://help.dyalog.com/latest/#Language/System%20Functions/fstac.htm
{tn}←{bytes} ⎕NRESIZE tn	Resize file tied with number tn to have specified size	System	Function	Native Files	System Function	cap limit clamp	https://tio.run/##SyzI0U2pTMzJT///vyRP4VHbBAX1tMycVHWFR31T3ZyDXB1DXBUMuDQMDQwMHvVuMdQz1ARJOAYEuPq5KJTkIckYocmAeC5B/gFAtoIhiAcyHCQY7BnlChFxC3IFcyCqUeX//wcA	https://help.dyalog.com/latest/#Language/System%20Functions/nresize.htm
{types}←{types} ⎕EXPORT names	Set/report the export type of names referenced by ⎕PATH	System	Function	System	System	expose	https://tio.run/##SyzI0U2pTMzJT/8PBI/6pga76rnl5z9qm1D9qHerAhDXckFE3VFEITKGCgYQSSDpGhHgHxSiDtSsrqAOVKwO0hfgGOIB1KUOVgUWAfKAShRMjKAcdzAHAA	https://help.dyalog.com/latest/#Language/System%20Functions/export.htm
(↑⍣≡0∘⎕JSON)Y	Convert JSON to high rank APL array	System	Function	Data Conversion	System Function	from APL2JSON javascriptobjectnotation export generate serialise serialize table highrank matrix table multidimensional converting change changing	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HrVNfNS7@FHnQoNHHTOAgl7B/n6aCurR0dGGOkY6xrE60SY6pjpmsUCGUmJSspKOUkpqmlJsrPr//wA	https://help.dyalog.com/latest/#Language/System%20Functions/json.htm
⎕CT←(0≤1E¯14≤2*¯32)	Max ratio between numbers considered equal when ⎕FR←645	System	Variable		Mathematical	comparison tolerance fuzz IEEE754 64-bit binaryfloatingpoint representation	https://tio.run/##SyzI0U2pTMzJT////1HvXAUUYAgCXDBhQyNjE1MzcwtLAxCLK0/hUdsEBUM9A2RgyJWLIQw0oW8qSBBIOYfAOHkKubZgGecQsA4DXBKGrofWG6LK/v8PAA	https://help.dyalog.com/latest/#Language/System%20Functions/ct.htm
⎕DCT←(0≤1E¯28≤2*¯32)	Max ratio between numbers considered equal when ⎕FR←1287	System	Variable		Mathematical	comparison tolerance fuzz IEEE754-2008 128-bit decimalfloatingpoint representation	https://tio.run/##SyzI0U2pTMzJT////1HfVBfnEIVHbRMUDF0PrTc04MqDcPQM4MCQC6gKJJhnC2a6BUGUGFmYI8n8/w8A	https://help.dyalog.com/latest/#Language/System%20Functions/dct.htm
{r}←⎕FX cr/nr/vr/or	Name of fn or op defined from its matrix, nested, vector or object representation (or failing line no)	System	Function	Data Conversion	System Function	fix code source operator list table converting change changing	https://tio.run/##SyzI0U2pTMzJT////1HfVLcIBfWiR20T3PLzFSrUIewKIIsLKAdkKoDETYz@/wcA	https://help.dyalog.com/latest/#Language/System%20Functions/fx.htm
{names}←'-' ⎕ED names	Create one or more character matrices (names) in the Editor	System	Function	System	System Function	matrix creating new definition define value )editing	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAlFuEgnoRkO2Wn69QoQ5hVwBZXJhK3EFKrLGr8fNROLTe@P9/AA	https://help.dyalog.com/latest/#Language/System%20Functions/ed.htm
{tdno}←{0|1} ⎕TKILL tdno	Kill threads tdno and (default 1 is true) descendants	System	Function	System	System Function	synchronisation synchronization parallel threading stop terminate greenthreading	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAlIuPmiEXTm6IX6hvMIgf4u3p46OAIfX/PwA	https://help.dyalog.com/latest/#Language/System%20Functions/tkill.htm
{names}←'⍟' ⎕ED names	Create one or more namespaces (names) in the Editor	System	Function	System	System Function	creating new definition define value )editing		https://help.dyalog.com/latest/#Language/System%20Functions/ed.htm
{names}←'○' ⎕ED names	Create one or more classes (names) in the Editor	System	Function	System	System Function	creating new definition define value )editing		https://help.dyalog.com/latest/#Language/System%20Functions/ed.htm
{names}←'∘' ⎕ED names	Create one or more interfaces (names) in the Editor	System	Function	System	System Function	creating new definition define value )editing		https://help.dyalog.com/latest/#Language/System%20Functions/ed.htm
{level}←{level} ⎕LOCK name/ref	Hide source and optionally disallow suspension	System	Function	System	System Function	secure closedsource encrypt	https://tio.run/##SyzI0U2pTMzJT////1FHu0LRo7YJbvn5ChVcCmB2BZAFFOd61DcVyFN41LkIyPILUlAHKlIHifr4O3vDOdiVgERBZpoY/f8PAA	https://help.dyalog.com/latest/#Language/System%20Functions/lock.htm
{name/ref}←{name} ⎕NS names	Create (optionally named) namespace copying names into it	System	Function	Data Conversion	System Function	object make new construct collect )ns reference	https://tio.run/##SyzI0U2pTMzJT///P@lR2wQTIy71RPVHfVP9gtWT1LmADKCgQqJe0v//AA	https://help.dyalog.com/latest/#Language/System%20Functions/ns.htm
{name/ref}←{name} ⎕NS ref	Create (optionally named) namespace copying contents of ref into it	System	Function	Data Conversion	System Function	object make new construct )ns deepcopy deepcopying seep-copy deep-copying clone cloning reference	https://tio.run/##SyzI0U2pTMzJT///P/FR24RHfVP9gh/1ruFK1EsCck2MuNST1cGCColQMUMDAy6gCJClkKyX9P8/AA	https://help.dyalog.com/latest/#Language/System%20Functions/ns.htm
{names}←'∊' ⎕ED names	Create one or more vectors of character vectors (names) in the Editor	System	Function	System	System Function	lists strings creating new definition define value )editing		https://help.dyalog.com/latest/#Language/System%20Functions/ed.htm
r←0(⎕JSON⍠'M')data	Convert JSON text to APL matrix	System	Function	Data Conversion	System Function	from JSON2APL javascriptobjectnotation import parse deserialise deserialize table converting change changing string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMNIAMr2B/v0e9C9R91TXVow11jHSMdZQSk5KVYtW5/v8HAA	https://help.dyalog.com/latest/#Language/System%20Functions/json.htm
r←1(⎕JSON⍠'M')data	Convert APL matrix to JSON text	System	Function	Data Conversion	System Function	from APL2JSON javascriptobjectnotation export generate serialise serialize table converting change changing string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMNYAMr2B/v0e9C9R91TWNFEwe9W4xUFBXV3jUu0bBSMEQxFRPTEpWVzD5/x8A	https://help.dyalog.com/latest/#Language/System%20Functions/json.htm
r←data {header}(⎕CSV⍠1)format_spec	Convert CSV data from APL inverted table (character data as matrices)	System	Function	Data Conversion	System Function	tsv export generate commaseparatedvalues tabseparatedvalues characterseparatedvalues matrix tables converting change changing		https://help.dyalog.com/latest/#Language/System%20Functions/csv.htm
r←data {header}(⎕CSV⍠2)format_spec	Convert CSV data from APL inverted table (character data as vectors of vectors)	System	Function	Data Conversion	System Function	tsv export generate commaseparatedvalues tabseparatedvalues characterseparatedvalues matrix lists converting change changing		https://help.dyalog.com/latest/#Language/System%20Functions/csv.htm
r←{tn} (regex ⎕R trans⍠1) text	Replace text selected by case-insensitive regex using trans (optional tn to spool output to native file tied with number tn)	System	Operator	Data Conversion	System Function	regexp substitute pcre perlcompatibleregularexpression case-insensitivity caseinsensitive caseinsensitivity converting change changing string regular expression	https://tio.run/##SyzI0U2pTMzJT///vyS1okThUdsEBXUvzzBXF4W0/ArdvMrcggwF9yBHp2CFwtLM5GyF8sSckio9da5HfVNBajXUoxNTM/NLY9UV1PXUFYCiQQrqMaVqQG5Mjpr6o94FhpoKYJMVHvXOVSgtKEgtSk4sTlVIzMlRKMsvT80pVkjMS1HIATIhEsn5ecX5eYl5JcX//wMA	https://help.dyalog.com/latest/#Language/System%20Functions/r.htm
r←{tn} (regex ⎕S trans⍠1) text	Search text for case-insensitive PCRE regex returning trans (optional tn to spool output to native file tied with number tn)	System	Operator	Data Conversion	System Function	regexp find locate perlcompatibleregularexpression locating case-insensitivity caseinsensitive caseinsensitivity location converting change changing string regular expression	https://tio.run/##SyzI0U2pTMzJT///vyS1okThUdsEBXUvzzBXF4W0/ArdvMrcggwF9yBHp2CFwtLM5GyF8sSckio9da5HfVNBajXUoxNTM/NLY7XVFYBCwQrqauqPehcYaiqAjVN41DtXITEnR6Esvzw1p/j/fwA	https://help.dyalog.com/latest/#Language/System%20Functions/r.htm
{counts}←destination(⎕NMOVE⍠1)sources	Move files/directories from 'sources' (with ? and * globbing) to 'destination'	System	Function	Native Files	System Function	moving renaming rename wildcards		https://help.dyalog.com/latest/#Language/System%20Functions/nmove.htm
{counts}←destination(⎕NCOPY⍠1)sources	Copy files/directories from 'sources' (with ? and * globbing) to 'destination'	System	Function	Native Files	System Function	copying wildcards		https://help.dyalog.com/latest/#Language/System%20Functions/ncopy.htm
{names}←'∇' ⎕ED names	Create one or more functions (names) in the Editor	System	Function	System	System Function	creating new definition define value )editing		https://help.dyalog.com/latest/#Language/System%20Functions/ed.htm
{names}←'→' ⎕ED names	Create one or more character vectors (names) in the Editor	System	Function	System	System Function	strings creating new definition define value )editing		https://help.dyalog.com/latest/#Language/System%20Functions/ed.htm
{old_values}←{object} ⎕WS nvpairs…	Set the values of one or more specified properties of object	System	Function	Native Files	System	window gui assign		https://help.dyalog.com/latest/#Language/System%20Functions/ws.htm
t←{properties}(⎕NINFO⍠1)tns/files	Return values of properties for tns/files with ? and * globbing	System	Function	Native Files	System Function	dir ls list information vector wildcards		https://help.dyalog.com/latest/#Language/System%20Functions/ninfo.htm
{r}←{action} ⎕NQ object event {params}	Enqueue an event for processing	System	Function	Native Files	System	push request		https://help.dyalog.com/latest/#Language/System%20Functions/nq.htm
{tn}←{bytes} ⎕FRESIZE tn {pn}	Compact exclusively-tied file tied with number tn and set its max size (pn is optional passnumber)	System	Function	Component Files	System Function	dcf maximum limit clamp		https://help.dyalog.com/latest/#Language/System%20Functions/fresize.htm
{counts}←{flags}(⎕NDELETE⍠1)files	Delete files (with ? and * globbing, if flags 1, tolerate 'file not found')	System	Function	Native Files	System Function	erase remove expunge )drop wildcards drop without removing erasing eliminate eliminating deleting		https://help.dyalog.com/latest/#Language/System%20Functions/ndelete.htm
{0⍴⊂''}←{names} ⎕CY file	Copy (optionally selected) names from saved ws	System	Function	File Access	System Function	import load use transfer import load include items otherworkspace )copy functions variables operators namespaces GUI objects classes interfaces instances dfns.dws		https://help.dyalog.com/latest/#Language/System%20Functions/cy.htm
{r}←{msg} ⎕SIGNAL errno/{nvpairs}…	Signal an error; nvpairs set ⎕DMX properties	System	Function	Error Message	System	throwing raise raising emulate props		https://help.dyalog.com/latest/#Language/System%20Functions/signal.htm
name←{type}{shape} ⎕MAP file {rw} {offset}	Associate name with mapped file (from offset)	System	Function	File Access	System Function	memorymap array mmap() input output load save get put fetch import export native		https://help.dyalog.com/latest/#Language/System%20Functions/map.htm
{bytes}←text {encoding {newline}}⎕NPUT file {flags}	Write (overwrite if flags is 1, append if flags is 2) text (vector or vector of vectors) to Unicode file	System	Function	Native Files	System Function	dump cat save to overwrite 🐈 ascii ansi Windows-1252 UTF-8 UTF-16LE UTF-16BE UTF-32LE UTF-32LE vtv charvec charactervector textvector string	https://tio.run/##SyzI0U2pTMzJT///X90jNScnX13hUd9Uv4DQEAX13Mq0zJxUvZKKEnUuoOCjtglgOXdXNDmNR11NMM3q4flFOSnqmlhNUTDEa466U2UqdusVjPBp/P8fAA	https://help.dyalog.com/latest/#Language/System%20Functions/nput.htm
{exit_context}←{exit_keys {initial_context}} ⎕SR {fields}	Allows user to edit/interact with form defined by ⎕SM	System	Function	System	System Function	read fetch run screen map text-based pseudo-graphics window inputs asynchronous terminal management		https://help.dyalog.com/latest/#Language/System%20Functions/sr.htm
{rarg}←lock {secs} ⎕NLOCK tn {offset} {bytes}	Change region lock status (0:unlock, 1:read, 2:write, optional timeout in seconds) of file tied with number tn	System	Function	Native Files	System Function	restrict access seal passcode changing converting conversion		https://help.dyalog.com/latest/#Language/System%20Functions/nlock.htm
{name}←{name} ⎕WC type {ordered_props} {nvpairs} …	Create an instance of a built-in type and set property values	System	Function	Native Files	System	window gui new		https://help.dyalog.com/latest/#Language/System%20Functions/wc.htm
+⍨N	Double: 2×N	Tacit	Monadic Function		Mathematical	twice	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExS0H/WuUDDlQuY96t1saIAicmi9IRAb6ZkqGCiASBM94yxDPUMUNRrGCsaPercANVtq/v8PAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Add.htm
×⍨N	Square: N*2	Tacit	Monadic Function		Mathematical	² ^2	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQOT3/Uu0LBlAuF@6h3s6EBqtCh9YZAbKRnqmCgACJN9IyzDPUMURVpGCsYP@rdAtRuqfn/PwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Multiply.htm
?⍨Js	Random Permutation of length Js	Tacit	Monadic Function		Index Generation	shuffled shuffling randompermutation		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Deal.htm
=⍨Y	Ones, same shape and structure	Tacit	Monadic Function		Boolean/Logical	1s trues truths	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFYwf9W551LvZkgsioq4OZSjYPupdgST//z8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Equal.htm
≠⍨Y	Zeros, same shape and structure	Tacit	Monadic Function		Boolean/Logical	zeroes naughts 0s falses falsehoods	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFYwf9W551LvZkgsioq4OZSg86lzwqHcFkor//wE	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Not%20Equal.htm
1∘+N	Increment: N+1	Tacit	Monadic Function		Mathematical	increase next	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMH3XM0FYwNFAwMlAwNuBCET20Hih@aL0RiEDIgYCGsYLxo94tJpqoGuDC//8DAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Add.htm
¯1∘-J	2's-complement bit-wise NOT	Tacit	Monadic Function		Boolean/Logical	bitwise binary gate logicalnot logicalnegation logicalcomplement negate inverting inversion 2s two's twos		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Subtract.htm
0∘×N	Zero array of shape, size, and structure of N	Tacit	Monadic Function		Structural	zeroes zeros fill mold mould 0s falses falsehoods	https://tio.run/##SyzI0U2pTMzJT/@vnpJZXKD@qG@qc6R6Slpesfp/IPtR2wQFEDB41DHj8HQFQwUjBWMFEwVTLogcSAtMTsNCwUJTQcPQwEDByMAAyDLVM1Y4tN5MkwvTHGMF40e9Wx71brb8/x8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Multiply.htm
100∘×N	Percentage corresponding to rate N	Tacit	Monadic Function		Mathematical	conversion converting change changing		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Multiply.htm
3∘×N	Triple: 3×N	Tacit	Monadic Function		Mathematical	thrice	https://tio.run/##SyzI0U2pTMzJT/@vnpJZXKD@qG@qc6R6Slpesfp/IPtR2wQFEDB@1DHj8HQFQwUjBWMFEwVTLogcSAtMTsNCwUJTQcPQwEDByMAAyDLVM1Y4tN5MkwvTHGMgo3fLo97Nlv//AwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Multiply.htm
0∘⌈N	Ensure that N is non-negative (negatives become zero)	Tacit	Monadic Function		Mathematical	clamp limit restrict	https://tio.run/##SyzI0U2pTMzJT/@vnpJZXKD@qG@qc6R6Slpesfp/IPtR2wQFEDB41DHjUU@HwqH1xkBsBMSGCgYKhgpGCsZcEGUg3XBlGsYGIKUGmgoahgYGCkYGINah9aZ6IN1mmlxYTTbVNlYwftS75VHvZsv//wE	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Maximum.htm
0∘⌊N	Ensure that N is non-positive (positives become zero)	Tacit	Monadic Function		Mathematical	clamp limit restrict	https://tio.run/##SyzI0U2pTMzJT/@vnpJZXKD@qG@qc6R6Slpesfp/IPtR2wQFEDB41DHjUU@XwqH1xkBsBMSGCgYKhgpGCsZcEGUg3XBlGsYGIKUGmgoahgYGCkYGINah9aZ6IN1mmlxYTTbVNlYwftS75VHvZsv//wE	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Minimum.htm
1∘⌽Y	Rightmost neighbouring elements (cyclically)	Tacit	Monadic Function		Selection	neighbours neighbors lefthand bitshift cells items		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Rotate.htm
¯1∘⌽Y	Leftmost neighbouring elements (cyclically)	Tacit	Monadic Function		Selection	neighboring neighbours neighbors lefthand bitshift cells items		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Rotate.htm
1∘|N	Fractional part of number	Tacit	Monadic Function		Mathematical	decimals	https://tio.run/##SyzI0U2pTMzJT/@vnpJZXKD@qG@qc6R6Slpesfp/IPtR2wQFEDB81DGjRsFAz9RUwVDPyFjBQs/cTMGAC6ICpBGqQsNYz1jh0HogqamgYWhgoGekYAQkDYG8Q@tNwXJmmlwYBhvqGR6ebqxg/Kh3y6PezZb//wMA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Residue.htm
1000∘|IA	Last part of packed numeric code ABBB	Tacit	Monadic Function		Data Conversion	unpack converting change changing		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Residue.htm
2∘|J	Parity of J (is J odd?)	Tacit	Monadic Function		Mathematical	testif	https://tio.run/##SyzI0U2pTMzJT/@vnpJZXKD@qG@qc6R6Slpesfp/IPtR2wQFEDB61DGjRsFQwUjBWMFEwVTBjAsiCdIDldQwNVQ4tN7IVFNBw9DAWMEYSANVanJhmAKUe9S75VHvZsv//wE	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Residue.htm
256∘|J	Convert from signed short integers to unsigned short integers	Tacit	Monadic Function		Data Conversion	datarepresentation converting change changing		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Residue.htm
0∘<N	Strictly positive?	Tacit	Monadic Function		Mathematical	testif	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMHnXMsFEwVDBSMFYw4UIRPLTeCIgNFQxA0v//AwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Less.htm
0∘≤N	Non-negative?	Tacit	Monadic Function		Mathematical	testif nonnegative? Heaviside step function unit H() θ() u() 1() 𝟏() 𝟙()	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMHnXMeNS5RMFQwUjBWMGEC0340HojIDZUMAAp@P8fAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Less%20Or%20Equal.htm
0∘=N	Zero?	Tacit	Monadic Function		Mathematical	testif	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMHnXMsFUwVDBSMFYw4UIRPLTeCIgNFQxA0v//AwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Equal.htm
0∘≥N	Non-positive?	Tacit	Monadic Function		Mathematical	testif nonpositive?	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMHnXMeNS5VMFQwUjBWMGEC0340HojIDZUMAAp@P8fAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Greater%20Or%20Equal.htm
0∘>N	Strictly negative?	Tacit	Monadic Function		Mathematical	testif	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMHnXMsFMwVDBSMFYw4UIRPLTeCIgNFQxA0v//AwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Greater.htm
0∘≠N	Non-zero?	Tacit	Monadic Function		Mathematical	testif nonzero?	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMHnXMeNS5QMFQwUjBWMGEC0340HojIDZUMAAp@P8fAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Not%20Equal.htm
1∘↓Y	Behead: Remove first major cell	Tacit	Monadic Function		Selection	drop chop leading element item 1st delete start beginning without removing erasing erase eliminate eliminating deleting tail body	https://tio.run/##SyzI0U2pTMzJT/@vnpJZXKD@qG@qc6R6Slpesfp/IPtR2wQFEDB81DHjUdtkBUMFIwVjBRMuiBRIB1xKw9RAwcJAU0HD0EDBCEQbGyuYmWlyYTHFWMH4Ue@WR72bLf//BwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Drop.htm
¯1∘↓Y	Curtail: Remove last major cell	Tacit	Monadic Function		Selection	drop chop trailing element item delete ending without removing erasing erase eliminate eliminating deleting	https://tio.run/##SyzI0U2pTMzJT/@vnpJZXKD@qG@qc6R6Slpesfp/IPtR2wQFEDi03vBRx4xHbZMVDBWMFIwVTLggkiA9SJIapgYKFgaaChqGBgpGINrYWMHMTJMLq0nGCsaPerc86t1s@f8/AA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Drop.htm
⍬∘⍴Y	First element of Y as a scalar	Tacit	Monadic Function		Selection	1st cell item	https://tio.run/##SyzI0U2pTMzJT/@vnpJZXKD@qG@qc6R6Slpesfp/IPtR2wQFEHjUu@ZRx4xHvVsUDBWMFIwVTLggkiA9SJIapgYKFgaaChqGBgpGINrYWMHMTJMLq0nGCsZA6lHvZsv//wE	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Reshape.htm
10∘*N	Common anti-logarithm	Tacit	Monadic Function		Mathematical	log⁻¹() log^1() lg⁻¹() lg10^1() log10⁻¹() log10^1() lg10⁻¹() lg10^1() log₁₀⁻¹() log₁₀^1() lg₁₀⁻¹() lg₁₀^1() antilogarithm	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMDR51zNBSMFQwUjBWMOFCFT203hCIjYDYGIjRZQ31jI2AhKkJkDA3BRKWlv//AwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Power.htm
10∘⍟N	Common logarithm	Tacit	Monadic Function		Mathematical	log() log-10 log10() 10-log₁₀() lg() lg-10 lg10() 10-lg₁₀()	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMDR51zHjUO1/BEMgEIjCGEEAy1RSIzbgw1BobKRiampiaKBiamxoAdVqCwP//AA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Logarithm.htm
0∘○N	cos ↔ sin: (1-N*2)*.5 (more precise cos arcsin N or sin arccos N)	Tacit	Monadic Function		Circular/Trigonometric	0○ pythagorean complementary cop()		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Circular.htm
0∘○N	Triangle side as function of side (hypotenuse≤1)	Tacit	Dyadic Function		Circular/Trigonometric	0○ Pythagorean trigonometry		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Circular.htm
1∘○N	Sine N	Tacit	Monadic Function		Circular/Trigonometric	1○ sin() sinus		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Circular.htm
10∘○N	Magnitude of N	Tacit	Monadic Function		Circular/Trigonometric	10○ abs() modulo modulus amplitude		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Circular.htm
11∘○N	Imaginary part of N	Tacit	Monadic Function		Circular/Trigonometric	11○ im()		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Circular.htm
12∘○N	Phase of N	Tacit	Monadic Function		Circular/Trigonometric	12○ argument arc() angle ∠ atan2		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Circular.htm
2∘○N	Cosine N	Tacit	Monadic Function		Circular/Trigonometric	2○ cos() cosinus		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Circular.htm
3∘○N	Tangent N	Tacit	Monadic Function		Circular/Trigonometric	3○ tan() tangens		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Circular.htm
4∘○N	sinh → cosh: (1+N*2)*.5 (more precise cosh arsinh N or sec arctan N)	Tacit	Monadic Function		Circular/Trigonometric	4○ pythagorean complementary coh()		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Circular.htm
4∘○N	Triangle hypotenuse as function of side ratio	Tacit	Dyadic Function		Circular/Trigonometric	4○ Pythagorean trigonometry		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Circular.htm
5∘○N	Hyperbolic sine N	Tacit	Monadic Function		Circular/Trigonometric	5○ sinh() sinushyperbolicus		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Circular.htm
6∘○N	Hyperbolic cosine N	Tacit	Monadic Function		Circular/Trigonometric	6○ cosh() cosinushyperbolicus		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Circular.htm
7∘○N	Hyperbolic tangent N	Tacit	Monadic Function		Circular/Trigonometric	7○ tanh() tangenshyperbolicus		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Circular.htm
8∘○N	icos ↔ isin: (-1+N*2)*.5	Tacit	Monadic Function		Circular/Trigonometric	8○ pythagorean complementary conh()		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Circular.htm
9∘○N	Real part of N	Tacit	Monadic Function		Circular/Trigonometric	9○ re()		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Circular.htm
¯1∘○N	Arcsine N	Tacit	Monadic Function		Circular/Trigonometric	¯1○ inverse arsin() asin() arcussinus sin⁻¹() sin^-1()		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Circular.htm
¯10∘○N	+N (complex conjugate)	Tacit	Monadic Function		Circular/Trigonometric	¯10○ complexconjugate		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Circular.htm
¯11∘○N	N×0J1	Tacit	Monadic Function		Circular/Trigonometric	¯11○ imaginary complex itimes i× 𝑖×		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Circular.htm
¯12∘○N	*N×0J1	Tacit	Monadic Function		Circular/Trigonometric	¯12○ antiphase phasor cis()		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Circular.htm
¯2∘○N	Arccosine N	Tacit	Monadic Function		Circular/Trigonometric	¯2○ inverse arccos() acos() arcuscosinus cos⁻¹() cos^-1()		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Circular.htm
¯3∘○N	Arctangent N	Tacit	Monadic Function		Circular/Trigonometric	¯3○ inverse arctan() atan() arcustangens tan⁻¹() tan^-1()		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Circular.htm
¯4∘○N	cosh → sinh: (N+1)×((N-1)÷N+1)*.5 (more precise sinh arcosh N or tan arcsec N)	Tacit	Monadic Function		Circular/Trigonometric	¯4○ pythagorean complementary cohn()		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Circular.htm
¯4∘○N	Triangle side (≥1) as function of hypotenuse	Tacit	Dyadic Function		Circular/Trigonometric	¯4○ Pythagorean trigonometry		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Circular.htm
¯5∘○N	Hyperbolic arsin N	Tacit	Monadic Function		Circular/Trigonometric	¯5○ inverse arcsine asinh() arcsinh() arcussinushyperbolicus arsinh() area sinh⁻¹() sinh^-1()		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Circular.htm
¯6∘○N	Hyperbolic arcos N	Tacit	Monadic Function		Circular/Trigonometric	¯6○ inverse arccosine acosh() arccosh() arcuscosinushyperbolicus arcosh() area cosh⁻¹() cosh^-1()		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Circular.htm
¯7∘○N	Hyperbolic artan N	Tacit	Monadic Function		Circular/Trigonometric	¯7○ inverse arctangent atanh() arctanh() arcustangenshyperbolicus artanh() area tanh⁻¹() tanh^-1()		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Circular.htm
¯8∘○N	icos ↔ -isin: -(-1+N*2)*.5	Tacit	Monadic Function		Circular/Trigonometric	¯8○ pythagorean complementary nconh()		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Circular.htm
¯9∘○N	N (identity)	Tacit	Monadic Function		Circular/Trigonometric	¯9○ identity		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Circular.htm
f∘g⍨Y	Hook (S-combinator): apply f between Y and (g Y), that is Y f g Y	Tacit	Monadic Function		Composition	Starling hook ⟜		
⊢/Y	Fast: The last sub-array along the last axis of Y	Tacit	Monadic Function	Performance	Selection	speed optimised optimized quick rightmostcolumn subarray dimension idiom	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQedS3SVzBUMFIwVjBRMOWCiKqrQxkKQGCsYPyod8uj3s2WGLJgzQj5//8B	
⊣/Y	Fast: The first sub-array along the last axis of Y	Tacit	Monadic Function	Performance	Selection	speed optimised optimized quick leftmostcolumn subarray dimension 1st idiom	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQedS3WVzBUMFIwVjBRMOWCiKqrQxkKQGCsYPyod8uj3s2WGLJgzQj5//8B	
+/N	Sum of N (row-wise)	Tacit	Monadic Function		Mathematical	summation enlargedsigma bigsigma capitalsigma ∑ Σ sum() horizontally rowwise	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExS09RUMFYwUjBVMFEy5IGLq6lCGAhAYKxg/6t3yqHezJYYsUCtC9v9/AA	
Is+/N	Running sum of Is consecutive elements of N	Tacit	Dyadic Function		Mathematical	windowedsum cells items	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFLT1gYSRgjGI5IKIqqtDGQpgYKpg@qh3y6PezZYY8sYg7Qj5//8B	
-/N	Row-wise alternating sum: ((N[1]-N[2])+N[3])-N[4]+…	Tacit	Monadic Function		Mathematical	alternatingsum series horizontally rowwise	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExR09RVMFQwNFAxNFYwMFIxMFYwN/v8HAA	
×/N	Product of N (row-wise)	Tacit	Monadic Function		Mathematical	enlargedpi bigpi capitalpi ∏ Π horizontally rowwise	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQOT9dXMFQwUjBWMFEw5YIIqqtDGQpAYKpg@qh3y6PezUaY0iDNSPL//wMA	
×/Nv	Area of rectangle with sides Nv	Tacit	Monadic Function		Mathematical	edge lengths	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQOT9dXMFUwNPj/HwA	
×/Nv	Volume of box with sides Nv	Tacit	Monadic Function		Mathematical	block edge lengths	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQOT9dXMDQAIaP//wE	
∨/B	Are any true? (row-wise)	Tacit	Monadic Function		Boolean/Logical	anyone? forany thereexists ∃ horizontally rowwise testif forany?	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQedazQVzCAQS5MUUMsMoYg@P8/AA	
∧/Bv	Are all true?	Tacit	Monadic Function		Boolean/Logical	forall? ∀ binary base-2 base2 testif	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQedSzXVzCAQS5MUUMsMoYg@P8/AA	
⌈/N	Maximum of N	Tacit	Monadic Function		Mathematical	most supremum biggest largest highest	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9XToK5haKBiaKhgZKVgYKBiZKRgaciHLGoChIYSGyQCBsYLxo94tCkZAKWMFMwVTBRMFcwVLBQuoEnV1FFNwqf7/HwA	
⌊/N	Minimum of N	Tacit	Monadic Function		Mathematical	least infirmum smallest lowest	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9XTpK5haKBiaKhgZKVgYKBiZKRgaciHLGoChIYSGyQCBsYLxo94tCkZAKWMFMwVTBRMFcwVLBQuoEnV1FFNwqf7/HwA	
÷/N	Alternating product of N	Tacit	Monadic Function		Mathematical		https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQOb9dXMFQw4kLlKhhjCCiYYBFSMP3/HwA	
≠/B	Boolean Parity (even number of 1s in vectors)	Tacit	Monadic Function		Boolean/Logical	even or odd count ones	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQedS7QN@RC5iigc9EFDIAQRBr@/w8A	
1∘/Y	Ensure minimum rank 1 (reshaping scalar into one-element vector)	Tacit	Monadic Function		Structural	unscalarise unscalarize 1-element 1element minimumrank1 makenonscalarise nonscalarize list ravel-if-scalar normalise normalize normalisation normalization	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9W5RAAEjcy4kEcNHHTP00cQgqhSMDRSMTbGphcj8/w8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Replicate.htm
⊢⌿Y	Fast: The last sub-array along the first axis of Y	Tacit	Monadic Function	Performance	Selection	speed optimised optimized quick bottommostrow subarray dimension idiom major cell row	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAwFjB@FHvlke9my25IILq6lCGwqOuRY969iOp@P8fAA	
⊣⌿Y	Fast: The first sub-array along the first axis of Y	Tacit	Monadic Function	Performance	Selection	speed optimised optimized quick topmostrow subarray dimension 1st idiom major cell row	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAwFjB@FHvlke9my25IILq6lCGwqOuxY969iOp@P8fAA	
+⌿N	Sum of N (column-wise)	Tacit	Monadic Function		Mathematical	summation enlargedsigma bigsigma capitalsigma ∑ Σ vertically columnwise	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAwFjB@FHvFkMFIwVjLoioujqUoaD9qGc/soL//wE	
-⌿N	Column-wise alternating sum: ((N[1]-N[2])+N[3])-N[4]+…	Tacit	Monadic Function		Mathematical	alternatingsum series vertically columnwise	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAwFTB@FHvFuPD0x/1bjblgoirq0MZCrqPevajKvn/HwA	
×⌿N	Product of N (column-wise)	Tacit	Monadic Function		Mathematical	enlargedpi bigpi capitalpi ∏ Π vertically columnwise	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAwETB@FHvlke9mw2NuCCi6upQhsLh6Y969iOr@P8fAA	
0∘⌿Y	Empty array along first axis	Tacit	Monadic Function		Structural	dimension 1st	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9W5RAAETBWMg81HvZkMjLoiUujoXkhqDRx0zHvXsR1b3/z8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Replicate.htm
X f⍤⊢Y	Ignore left argument (call f monadically on Y)	Tacit	Dyadic Function		Function Application	to from dummy onrightargument		https://help.dyalog.com/latest/#Language/Primitive%20Operators/Atop.htm?Highlight=%E2%8D%A4
X f⍤⊣Y	Ignore right argument (call f monadically on X)	Tacit	Dyadic Function		Function Application	to from dummy onleftargument		https://help.dyalog.com/latest/#Language/Primitive%20Operators/Atop.htm?Highlight=%E2%8D%A4
1∘,Y	Preface a column of 1s	Tacit	Monadic Function		Structural	ones trues truths	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMH3XM0FEwVTBTMFew4IIIqqtzocgaKxg/6t3yqHez5f//AA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Catenate%20Laminate.htm
,¨Y	Ensure that all elements are vectors	Tacit	Monadic Function		Structural	items elements cells lists uniformity make force to be	https://tio.run/##SyzI0U2pTMzJT/@vnpJZXKD@qG@qc6R6Slpesfp/IPtR2wQFkLgCEDzq3WzKhSymc2gFWPD/fwA	
X,¨Y	Join corresponding items	Tacit	Monadic Function		Structural	juxtapose tuples cells elements zip pair zip() zipwith() zip-with zipwith	https://tio.run/##SyzI0U2pTMzJT/@vnpJZXKD@qG@qc6R6Slpesfp/IPtR2wQFkLiCgqmCmYK5gs6hFQqGBgqGhgqGRly45E3//wcA	
,/Yv	Fast: The enclose of the items of Yv (which must be of depth 2) catenated along their last axes	Tacit	Monadic Function	Performance	Structural	speed optimised optimized quick combine merge joinhorizontally cells elements dimensions idiom	https://tio.run/##SyzI0U2pTMzJT/@vnpJZXKD@qG@qc6R6Slpesfp/IPtR2wQFkLgCEGhYKhgaaCpoGBkomBgomIGYJgqmmlzIynT0cSrjQjfOWMH4Ue@WR72bLTVROBgG4lKo8P8/AA	
Is,/Yv	All possible subvectors of length Is (Yv must be simple)	Tacit	Dyadic Function		Selection	sub-string substring sub-sequence subsequence sub-vectors segmented sub-lists partitioned sublists separated separator delimiter	https://tio.run/##SyzI0U2pTMzJT/@vnpJZXKD@qG@qc6R6Slpesfp/IPtR2wQFkLgCGBgpmCiYKVgoGBooGBpxIUsb6ejjkzbBkP7/HwA	
1∘⍪Y	Preface a row of 1s	Tacit	Monadic Function		Structural	ones trues truths	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMH3XMeNS7SsFIwfhR7xaL//8B	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Catenate%20Laminate.htm
⍪/Yv	Fast: The enclose of the items of Yv (which must be of depth 2) catenated along their first axes	Tacit	Monadic Function	Performance	Structural	speed optimised optimized quick combine merge stack joinvertically major cells rows elements dimensions 1st idiom	https://tio.run/##SyzI0U2pTMzJT/@vnpJZXKD@qG@qc6R6Slpesfp/IPtR2wQFkLgCEGhYKhgaaCpoGBkomBgomIGYJgqmmlzIyh71rtLHqZAL3UBjBeNHvVse9W621EThYDESl1KF//8B	
1 1∘⊂Y	First element (as vector) and remaining elements	Tacit	Dyadic Function		Structural	headtail split divide separate dividing leading		
1∘⌷Y	Head: First major cell of Y	Tacit	Monadic Function		Selection	Y[1;] X[1;] Y[1] X[1] leading element item 1st start beginning		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Index%20with%20Axes.htm
⍳⍨Nv	Assign ranking based on non-descending scores Nv (ties all get highest ranking of used slots)	Tacit	Monadic Function		Mathematical	places place-values positions shared allotted allocation allocate ranks	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9W5@1LtCwRgMTRUsgNDI8P9/AA	
0∘∊B	Not all true?	Tacit	Monadic Function		Boolean/Logical	notall somenot all?	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMHnXMeNTRpWAIgVxYhA0UDP//BwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Membership.htm
1∘∊B	Any true?	Tacit	Monadic Function		Boolean/Logical	thereexists forsome existentialquantification ∃ any?	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMH3XMeNTRpWAAgVwYwoZAaPD/PwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Membership.htm
⍸⍨Nv	Assign ranking based on non-descending scores Nv (ties all get lowest ranking of used slots)	Tacit	Monadic Function		Mathematical	places place-values positions shared allotted allocation allocate ranks	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9e541LtCwRgMTRUsgNDI8P9/AA	
X f⍣≡Y	Limit: apply X∘f until stable	Tacit	Monadic Function	Monadic Operator	Function Application	limes lim() convergence fixedpoint fixed-point		
f⍣≡Y	Limit: apply f until stable	Tacit	Monadic Function	Monadic Operator	Function Application	limes lim() convergence fixedpoint fixed-point		
+\N	Cumulative sum	Tacit	Monadic Function		Mathematical	runningtotal	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExS0YxQMYZALIWakYKJgpmChYGjw/z8A	
∨\B	Turn on all 0s after first 1 (indicate all elements except leading 0s)	Tacit	Monadic Function		Boolean/Logical	unsetting indicating flipping turning change changing inverting negating bitmask bit-mask zeros zeroes trues truths ones falses falsehoods 1st start beginning mask not	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQedayIUTAAQkMoCYT//wMA	
∧\B	Turn off all 1s after first 0 (indicate all elements until the first 0)	Tacit	Monadic Function		Boolean/Logical	unsetting indicating flipping turning change changing inverting negating bitmask bit-mask ones zero false trues truths falsehood 1st mask	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQedSyPUTAEQgMgBNGG//8DAA	
⌈\N	Progressive maxima (row-wise)	Tacit	Monadic Function		Mathematical	running cumulative scan rowwise horizontally	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9XTEKBgZKBgaKpiYKxgpmCoYGxgoWFr@/w8A	
⌊\N	Progressive minima (row-wise)	Tacit	Monadic Function		Mathematical	running cumulative scan rowwise horizontally	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9XTFKBgZKBgaKpiYKxgpmCoYGxgoWFr@/w8A	
<\B	Turn off all 1s after first 1 (indicate only the first 1)	Tacit	Monadic Function		Boolean/Logical	unsetting keeping indicating flipping turning change changing inverting negating bitmask bit-mask zeros zeroes falses ones trues truths falsehoods 1st mask	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExRsYhQMFAxh@P9/AA	
≤\B	Turn on all 0s after first 0 (indicate all elements except the first 0)	Tacit	Monadic Function		Boolean/Logical	unsetting keeping indicating flipping turning change changing inverting negating bitmask bit-mask zeros zeroes falsehoods 1st mask not	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQedS6JUTBUMIDh//8B	
≠\B	Convert reflected Gray code to binary	Tacit	Monadic Function		Boolean/Logical	flip change changing inverting negating bitmask bit-mask base-2 base2 mask Conversion converting change changing		
≠\B	Parity: Connect odd and even ones	Tacit	Monadic Function		Mathematical	flip change changing inverting negating bitmask bit-mask 1s running trues truths mask		
⌈⍀N	Progressive maxima (column-wise)	Tacit	Monadic Function		Mathematical	running cumulative scan columnwise vertically	https://tio.run/##SyzI0U2pTMzJT///Pzk/51HbhEe9q4wMFAwNFUzMFYwUTBWMDQwULC25HvVNBUoqANXoKDzq6XjU2wBi//8PAA	
⌊⍀N	Progressive minima (column-wise)	Tacit	Monadic Function		Mathematical	running cumulative scan columnwise vertically	https://tio.run/##SyzI0U2pTMzJT///Pzk/51HbhEe9q4wMFAwNFUzMFYwUTBWMDQwULC25HvVNBUoqANXoKDzq6XrU2wBi//8PAA	
1 1∘⍉Ym	Main diagonal of matrix	Tacit	Monadic Function		Selection	table	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTAwFjB@FHvlke9my25IMLq6lCGoYLho44Zj3o7kdT8/w8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Transpose%20Dyadic.htm
⊥⍨Bv	Count of trailing ones	Tacit	Monadic Function		Boolean/Logical	1s trues truths at end	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtEx51LX3Uu0LBUMEAioHw/38A	
0∘⊥N	Last major cell of numeric array	Tacit	Monadic Function		Selection	item element	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMHnXMeNS1VOFR72ZLLjQxYwXjR71bQDL//wMA	
100∘⊥Jv	Joining date YYYY M D to packed YYYYMMDD integer	Tacit	Monadic Function		Mathematical	format	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMDQwedcx41LVUwdDSzFLBXMHI8P9/AA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Decode.htm
2∘⊥Bv	Integer representation of logical vector Bv	Tacit	Monadic Function		Boolean/Logical	list	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMHnXMeNS1VMEACA25MAQNFQywCWKoNAQZ8P8/AA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Decode.htm
0 1∘⊤N	Integral and fractional part of positive number	Tacit	Monadic Function		Mathematical	parts split whole integer decimals parts split	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAwfdcx41LVEwULP3PT/fwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Encode.htm
0 100 100∘⊤Js	Separating packed YYYYMMDD date integer date	Tacit	Monadic Function		Mathematical	format split unpacked	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFAwNwPhRx4xHXUsUDC3NLA3MjQz//wcA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Encode.htm
20 ¯1∘⎕DT J	Convert UNIX times to ⎕TS-style timestamps	Tacit	Monadic Function		Data Conversion	UnixTime PosixTime UnixEpochTime 1970		
C f⍥⎕C D	Caseless operation	Tacit	Dyadic Function	Monadic Operator	Text	lettercase caseinsensitively comparison lookup apply caselessly  ignorecase string		
{0}Y	Fast: 0 irrespective of Y	Tacit	Monadic Function	Performance	Boolean/Logical	speed optimised optimized quick zero naught idiom	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSqDWoVNEwUTBXMNBXUHZ2c1f//BwA	
+∘-N	Negate real part (“real conjugate”)	Tacit	Monadic Function		Mathematical		https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExS0H3XM0FU4tN7cy/j/fwA	
-∘+N	Mirror complex N across y-axis	Tacit	Monadic Function		Circular/Trigonometric	negatereal mirroring reflecting reflection	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExR0H3XM0FY4tN7cy/j/fwA	
⌽∘⊖Ym	Rotate 180°	Tacit	Monadic Function		Structural	turning rotating rotation half-turn halfturn	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQgwFjB@FHvlke9my25IOLq6lwwBY969j7qmPGoaxqysv//AQ	
M×∘÷N	Division: force DOMAIN ERROR for division by 0	Tacit	Dyadic Function		Mathematical			
f⍨∘g⍨Y	Reverse hook (S-combinator): apply f between (g Y) and Y, that is (g Y) f Y	Tacit	Monadic Function		Composition	Starling R*S-combinator back-hook backhook before behind ⊸		
Iv⊢⍤/Y	Replicate along last axis of Y (forces / to be a function even with a function on its left)	Tacit	Dyadic Function		Selection	treated treating interpreting interpreted as forcing coerce coercing functionify functionize schizophrenic overloaded make into being functionise train tacit fork atop compressing slash solidus copying repeatingeachcolumns dimension horizontally replicating rowwise row-wise across	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFQwVDq03UjBS0FcwUzBXsFCw/P8fAA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Replicate.htm
Av⊢⍤/Y	Filtering columns of Y according to mask Av (forces / to be a function even with a function on its left)	Tacit	Dyadic Function		Selection	treated treating interpreting interpreted as forcing coerce coercing functionify functionize schizophrenic overloaded make into being functionise train tacit fork atop compressing slash solidus selecting cells items horizontally across bitmask bit-mask	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFQygWF9B3SM1sahE/f9/AA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Replicate.htm
Iv⊢⍤⌿Y	Replicate along leading axis of Y (forces ⌿ to be a function even with a function on its left)	Tacit	Dyadic Function		Selection	treated treating interpreting interpreted as forcing coerce coercing functionify functionize schizophrenic overloaded make into being functionise train tacit fork atop compressing slashbar solidusbar first copying repeatingeachrows Iv/[1] dimension 1st start beginning vertically columnwise column-wise down	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWTR71bHvVuNjTietQ3FSRkqGCgYKTwqGe/AlDR//8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Replicate.htm
Av⊢⍤⌿Y	Filtering major cells of Y according to mask Av (forces ⌿ to be a function even with a function on its left)	Tacit	Dyadic Function		Selection	treated treating interpreting interpreted as forcing coerce coercing functionify functionize schizophrenic overloaded make into being functionise train tacit fork atop compressing slashbar selecting items vertically rowsofmatrix columnwise column-wise Av/[1] dimension 1st start beginning down bitmask bit-mask	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFYwWTR71bHvVuNjTietQ3FSRkqGAAxI969isAFf3/DwA	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Replicate.htm
Is/∘⍪Yv	Matrix with Is columns, each consisting of Yv	Tacit	Dyadic Function		Structural	fill table	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExRMFPQfdcx41LtKwVDBSMH4/38A	
Iv⍴∘⊂Y	Array of shape Iv filled with copies of Y	Tacit	Dyadic Function		Structural	copy repeat repetitions duplicate reshape	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFIwVHvVuedQx41FXk4J6YlKy@v//AA	
⊂∘⊃Y	Corner element of a (non-empty) array Y[1;1;1…]	Tacit	Monadic Function		Selection	first top-left topleft northwest north-west NW cell item 1st	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTAwFjB@FHvFgUjBR19hUe9my25IJLq6lCGwqOupkcdMx51NWOq/f8fAA	
Ms×∘⍳Js	Arithmetic progression vector: Js steps of Ms	Tacit	Dyadic Function		Mathematical	sequence	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HnU1GSsYP@rd8qh3s6WmwuHpjzpmAJkKxv//AwA	
⍳∘≢Ym	All row indices of matrix Ym	Tacit	Monadic Function		Index Generation	enumerate rows table	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExRAwETB@FHvFgM9I1MuqOij3s2POmY86lyEJPf/PwA	
,∘⍳Jv	All tuples of corresponding elements of ⍳¨Jv (for small Jv of max length 15)	Tacit	Monadic Function		Index Generation	indices major cells rows items	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExR0HnXMeNS7WcFYwez/fwA	
C⍳∘⊂Dv	Position of first occurrence of string Dv in list of strings C	Tacit	Dyadic Function		Index Generation	indexin indexof vtv vector 1st text	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUc/KLUnPVFdQzC4pLQXRKPlAESBdnlgDJxNxUIPWod/OjjhmPupoUIOL//wMA	
Ms∊∘⍳Ns	Is Ms in range 1…Ns?	Tacit	Dyadic Function		Comparison	inrange? valid? testif	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMzBUedXQ96pjxqHezgqnB//8A	
⍸@⊢B	Replace 1s in Boolean array B with their enumeration	Tacit	Monadic Function		Boolean/Logical	identify label indices where	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9e5weNS1SMFQwQCIQSSY/v8fAA	
X f⍣¯1⍣≡Y	Limit: apply inverse of X∘f until stable	Tacit	Monadic Function	Monadic Operator	Function Application	limes lim() convergence fixedpoint fixed-point	https://tio.run/##SyzI0U2pTMzJT///P@1R2wQF7UcdMw5v53rUNxXEM1RIe9S7@NB6QyD5qHOhgsH//wA	
f⍣¯1⍣≡Y	Limit: apply inverse of f until stable	Tacit	Monadic Function	Monadic Operator	Function Application	limes lim() convergence fixedpoint fixed-point	https://tio.run/##SyzI0U2pTMzJT///P@1R2wQFw0cdM7SB@PB2rkd9U0EiaY96Fx9abwgkH3UuVDD4/x8A	
⍋∘⍋Y	Permutation vector that sorts like Y	Tacit	Monadic Function		Index Generation	ranking list		
Iv⊢⍤\Y	Expand last axis of Y (forces \ to be a function even with a function on its left)	Tacit	Dyadic Function		Selection	forcing coerce coercing functionify functionize make into being functionise train tacit reversesolidus slope dimension	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFQ6tN1IwUYhRMFew4IIKGioYQHGMgrpHYon6//8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Expand.htm
Iv⊢⍤⍀Y	Expand leading axis of Y (forces ⍀ to be a function even with a function on its left)	Tacit	Dyadic Function		Selection	forcing coerce coercing functionify functionize make into being functionise train tacit reversesolidusbar slopebar Iv\[1] dimension start beginning	https://tio.run/##SyzI0U2pTMzJT///Pzex5FHbBGMFk0e9Wx71bjY04nrUNxUoomCoYKBgBCQf9TYoABX9/w8A	https://help.dyalog.com/latest/#Language/Primitive%20Functions/Expand.htm
⊂[1]Ym	Enclose columns of a matrix	Tacit	Monadic Function		Structural	vertically column-wise columnwise boxed enclosed table	https://tio.run/##SyzI0U2pTMzJT/@vnpJZXKD@qG@qc6R6Slpesfp/IPtR2wQFkLgCGBgrGD/q3fKod7MlF7Lco66maMNYJNn//wE	
⊂[1]Ym	Convert table to inverted table (character data as vectors of vectors)	Tacit	Monadic Function		Structural	matrix tables transforming transformation change changing into inverting inversion	https://tio.run/##SyzI0U2pTMzJT/@vnpJZXJCTWKn@qG@qc6R6Slpesfp/IPtR2wQFqJSCxqO2iYdWPOpqijaM1VQwUjB@1LtF3TFJXcFQwVxB3TklNU0dJPr/PwA	
⍉∘+Nm	Conjugate Transpose	Tacit	Monadic Function		Mathematical	self-adjoint selfadjoin Yᴴ Y^H Y† Y^† Aᴴ A^H A† A^†		
⌽∘⍉Ym	Rotate 90° clockwise	Tacit	Monadic Function		Structural	turning rotating rotation -90° ¯90° quarter-turn quarterturn	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExRAwFjB@FHvlke9my25oKKPevY@6pjxqLcTSe7/fwA	
⍉∘⌽Ym	Rotate 90° counter-clockwise	Tacit	Monadic Function		Structural	turning rotating rotation -90° ¯90° quarter-turn quarterturn counterclockwise	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExRAwFjB@FHvlke9my25oKKPejsfdcx41LMXSe7/fwA	
⍉∘↑Yv	Matrix with columns from vectors Yv	Tacit	Monadic Function		Structural	transpose columns table lists		
⍉∘⍪Yv	Forming first row of a matrix for later expansion	Tacit	Monadic Function		Structural	default initialise initialize 1st table	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9W5RAAFDBSMFYy4kwUe9nY86ZjzqXQWR@v8fAA	
⍉∘⍪Yv	Reshaping vector Yv into a one-row matrix	Tacit	Monadic Function		Structural	1-row table list	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9W5RAAFDBSMFYy4kwUe9nY86ZjzqXQWR@v8fAA	
M+.×N	Dot/Vector/Cross/Matrix Product of M and N (¯1↑⍴M ↔ 1↑⍴N)	Tacit	Dyadic Function		Mathematical	dotproduct vectorproduct crossproduct ∙ ⋅ · multiplication multiply		
M-.×N	Alternating Matrix Product of M and N (¯1↑⍴M ↔ 1↑⍴N)	Tacit	Dyadic Function		Mathematical			
Am∨.∧Bm	Extending a transitive binary relation	Tacit	Dyadic Function		Boolean/Logical	extension base-2 base2		
Mv⌈.×Nv	Maximum of Nv with weights Mv	Tacit	Dyadic Function		Mathematical	greatestif largest biggest		
Mm⌊.+Nm	Extending a distance table to next leg	Tacit	Dyadic Function		Mathematical	extension matrix		
Mv⌊.×Nv	Minimum of Nv with weights Mv	Tacit	Dyadic Function		Mathematical	smallest least		
Mv+.÷Nv	Sum of reciprocal series Mv÷Nv	Tacit	Dyadic Function		Mathematical	sequence		
Mv-.÷Nv	Sum of alternating reciprocal series Mv÷Nv	Tacit	Dyadic Function		Mathematical	sequence		
Xv+.=Yv	Counting pairwise matches (equal elements) in two vectors	Tacit	Dyadic Function		Comparison	cells items lists		
X∧.=Yv	Comparing vector Yv with rows of array X	Tacit	Dyadic Function		Comparison	list compare equality match	https://tio.run/##SyzI0U2pTMzJT///P1fhUdsEIJ6o7paZl6euoO6eWFSJoBzz8hKBlHNiUQ6QcklE5qGqdEpNLFXnetQ3FWReLpyh8KhjuZ4tVNX//wA	
Xm∧.=Ys	Boolean rows of Xm all equal to scalar Ys	Tacit	Dyadic Function		Sets	findall lookup binary base-2 base2 compare equality match		
Nv×.*B	Products over subsets of Nv specified by B	Tacit	Dyadic Function		Mathematical	sub-sets		
Iv∘.+Jv	Addition Table for Iv down and Jv across	Tacit	Monadic Function		Mathematical	additiontable cartesianaddition plustable matrix		
Iv∘.×Jv	Multiplication Table for Iv down and Jv across	Tacit	Monadic Function		Mathematical	multiplicationtable cartesianproduct timestable matrix		
M,.×N	Mid product of M and N	Tacit	Dyadic Function		Mathematical	midproduct		
X∘.,Y	Cartesian product: all pairs of X and Y	Tacit	Monadic Function		Sets			
Ms⊥∘⌽Nv	Ascendingly ordered Nv-coefficient polynomial at point Ms	Tacit	Dyadic Function		Mathematical	polynomium		
⍎∘⍕Yv	Convert character or numeric data into numeric (unsafe)	Tacit	Monadic Function		Data Conversion	normalise numbers converting change changing		
name←~∘Y	Create a “without” function with a hashed principal argument (fast X~Y for subsequent values of X)	Tacit	Monadic Function		Sets	performance hasharray hash-array hash-table		https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/Search%20Functions%20and%20Hash.htm
name←X∘⍳	Create an “index-in” function with a hashed principal argument (fast X⍳Y for subsequent values of Y)	Tacit	Monadic Function		Index Generation	performance hasharray hash-array hash-table		https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/Search%20Functions%20and%20Hash.htm
name←∊∘Y	Create a “membership-in” function with a hashed principal argument (fast X∊Y for subsequent values of X)	Tacit	Monadic Function		Sets	performance hasharray hash-array hash-table		https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/Search%20Functions%20and%20Hash.htm
name←X∘∪	Create a “union-with” function with a hashed principal argument (fast X∪Y for subsequent values of Y)	Tacit	Monadic Function		Sets	performance hasharray hash-array hash-table		https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/Search%20Functions%20and%20Hash.htm
name←∩∘Y	Create an “intersection-with” function with a hashed principal argument (fast X∩Y for subsequent values of X)	Tacit	Monadic Function		Sets	performance hasharray hash-array hash-table		https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/Search%20Functions%20and%20Hash.htm
name←X∘⍋	Create a “grade-ascending-according-to” function with a hashed principal argument (fast X⍋Y for subsequent values of Y)	Tacit	Monadic Function		Index Generation	performance hasharray hash-array hash-table		https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/Search%20Functions%20and%20Hash.htm
name←X∘⍒	Create a “grade decending according to” function with a hashed principal argument (fast X⍒Y for subsequent values of Y)	Tacit	Monadic Function		Index Generation	performance hasharray hash-array hash-table		https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/Search%20Functions%20and%20Hash.htm
{0}¨Y	Fast: 0 corresponding to each item of Y	Tacit	Monadic Function	Performance	Boolean/Logical	speed optimised optimized quick zeroes naughts 0s zeros cell element falses falsehoods idiom		
X(f⍤0)Y	Run f on scalars	Tacit	Dyadic Function	Monadic Operator	Function Application	apply		
Mv(f⍤0 1)Nm	Apply f between vector Mv and each column of Nm	Tacit	Dyadic Function		Function Application	rank suffixagreement columns distribute columwise column-wise list dimensions axes vertically columnwise		
Mv(f⍤1)Nm	Apply f between vector Mv and each row of Nm	Tacit	Dyadic Function		Function Application	rank prefixargeement rows distribute rowwise row-wise list dimensions axes horizontally		
Xs(@1)Y	Replacing first major cell of Y with Xs	Tacit	Monadic Function	Monadic Operator	Structural	substitute merge amend replace update 1st item element		
X(f⍣¯1)Y	Inverse: find Z such that Y ≡ X f Z	Tacit	Monadic Function	Monadic Operator	Function Application	f⁻¹(x,y) f′(x,y) fʹ(x,y) opposite revert		
(f⍣¯1)Y	Inverse: find Z such that Y ≡ f Z	Tacit	Monadic Function	Monadic Operator	Function Application	f⁻¹(x) f′(x) fʹ(x) opposite revert		
Ms×∘×⍨Nv	Rotate figure Nv in direction of point Ms	Tacit	Dyadic Function		Mathematical	rotation complex points		
×∘|⍨N	Square without changing sign	Tacit	Monadic Function		Mathematical	change converting conversion		
?⍨∘≢Y	Random Permutation vector for Y	Tacit	Monadic Function		Index Generation	shuffled shuffling randompermutation randomise randomize randomlypermute		
Xm↑⍨∘≢Ym	Vertically lengthening matrix Xm to be compatible (for ,) with Ym	Tacit	Monadic Function		Structural	compatibility sameheight adjust column-wise columnwise table		
M*∘÷⍨N	M'th Root of N	Tacit	Dyadic Function		Mathematical	nthroot ⁿ√ ³√ ∛ ∜		
A*∘~⍨N	Conditional change of elements of N to one according to A	Tacit	Dyadic Function		Mathematical	1 cells items changing converting conversion		
X g⍨∘f⍨∘h Y	Split-Compose (D₂-combinator): apply g between (f X) and (h Y), that is (f X) g (h Y)	Tacit	Dyadic Function		Composition	composewith splitover (fX)g(hY) (fX)ghY dovekies D2-combinator		
+∘÷/N	Continued fraction with terms N	Tacit	Monadic Function		Mathematical	series sequence		
A⊣@⊢⍨Yv	Using Boolean array A for expanding Yv (Yv's elements at 1s in A)	Tacit	Dyadic Function		Structural	ones cells items trues truths binary base-2 base2		
∨/∘,B	Are any true?	Tacit	Monadic Function		Boolean/Logical	testif forany thereexists ∃ ⋁		
∧/∘,B	Are all true?	Tacit	Monadic Function		Boolean/Logical	testif forall ∀ ⋀		
⊃∘⍴¨Y	Fast: The length of the first axis of each item in X	Tacit	Monadic Function	Performance	Array Properties	speed optimised optimized quick cell element dimension 1st idiom		
⊂⍤¯1∘↑Yv	Pad elements of vector of arrays Yv to equal shape	Tacit	Monadic Function		Structural	list cells items		
X⊃¨∘⊂Y	Selective picking from array	Tacit	Monadic Function		Structural	chipmunk		
Iv⌷⍨∘⊂Jv	Generate consolidated left argument for successive transposes Iv⍉Jv⍉Y	Tacit	Dyadic Function		Structural	optimise optimize		
C∊⍨∘⊂Dv	Is string Dv a member of list of strings C	Tacit	Dyadic Function		Index Generation	isin membership containedin has vtv vector text		
I∊⍨∘⍳Jv	Boolean array of shape Jv with ones in locations Iv (inverse of ⍸Bv)	Tacit	Dyadic Function		Boolean/Logical	inversion 1s trues truths list binary base-2 base2 ⍸⍣¯1 vector length	https://tio.run/##ASoA1f9hcGwtZHlhbG9n///ijpXihpAgMiA0IDcg4oiK4o2o4oiY4o2zIDEw//8	
+∘÷\N	Continued fraction convergents with terms N	Tacit	Monadic Function		Mathematical	series sequence		
,[⍳2]Y	Merge the leading two axes of Y	Tacit	Monadic Function		Structural	laminate ravel combine dimensions melt fuse join along leading axis	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQSFUCkkYKxgsmj3i2PejcbmXBBpYB8hUQYRycaJBeLEADJwgX//wcA	
⊢∘≢⌸Y	Count of occurrences of each unique major cell	Tacit	Monadic Function		Mathematical	elements items how many repetitions times repeated		
+.×⍨Nv	Sum of squares of Nv	Tacit	Dyadic Function		Mathematical	∑x² Σx² sum(x^2) Pythagorean trigonometry		
Av+.×⍨Nv	Summation over subsets of Nv specified by Av	Tacit	Dyadic Function		Mathematical			
Xs∨.≠⍨Y	Do rows of Y contain elements differing from Xs?	Tacit	Dyadic Function		Comparison	testif hasdifferent cells items		
∘.⊢⍨Yv	Square matrix with Yv as rows	Tacit	Monadic Function		Structural	tomatrixof table	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQedczQe9S16FHvCgVDBSMFYwWT//8B	
∘.⊣⍨Yv	Square matrix with Yv as columns	Tacit	Monadic Function		Structural	tomatrixof table	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQedczQe9S1@FHvCgVDBSMFYwWT//8B	
Xv,[0.5]Yv	Two-row matrix from two vectors (repeat scalars)	Tacit	Monadic Function		Structural	table lists rows		
Mv⊥⍨∘⍪Nv	Evaluate polynomial with descending coefficients Mv for point(s) Nv	Tacit	Dyadic Function		Mathematical	apply	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFQ6tN1QwUXjUtfRR74pHHTMe9a5SMFAwVDACSik86p2rkKZRoalgq2BccWiTboW2iUJafpFChUJmnkK1gY6hjpGOce3//wA	
Cv⎕NPUT⍨∘⊂Dv	Write text (vector or vector of vectors) Dv to Unicode file Cv	Tacit	Dyadic Function		System	native files dump cat save to 🐈 ascii ansi Windows-1252 UTF-8 UTF-16LE UTF-16BE UTF-32LE UTF-32LE vtv charvec charactervector textvector string	https://tio.run/##SyzI0U2pTMzJT///Xz23Mi0zJ1WvpKJEXUHjUd9Uv4DQkEe9Kx51zHjU1aSpoO6RmpOTr66gHp5flJOizgVU8ahtggJIobtriAKy9v//AQ	
I(1+-)J	Inclusive integer difference	Tacit	Dyadic Function		Mathematical	span distance fence-post range		
M(×-)N	Sign of difference (¯1:M is smaller, 0:M=N, 1:M is bigger)	Tacit	Dyadic Function		Comparison	signum cmp() <=> >-< spaceship space-ship three-way compare comparing comparison		
M(1-×)N	Probabilistic NAND	Tacit	Dyadic Function		Mathematical	fuzzy probability chance shefferstroke notand alternativedenial Dpq ⊼		
M(0⌈⌊)N	Force numbers N to range 0≤N≤M	Tacit	Dyadic Function		Mathematical	clamp restrictrange between 0–		
M(⌊÷)N	Floored division	Tacit	Dyadic Function		Mathematical	integer intdiv() % // divmod() F-division	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQOrTc0UAAiGK3xqKfr8HZNIN8YjIHw/38A	
I(1+|)J	Incrementing cyclic counter J with upper limit I	Tacit	Dyadic Function		Mathematical			
M(|-)N	Absolute distance between X and Y	Tacit	Dyadic Function		Mathematical	magnitudeof cartesian		
(1||)N	Magnitude of fractional part of N	Tacit	Monadic Function		Mathematical	absolutedecimals		
I(1=∨)J	Are I and J co-prime?	Tacit	Dyadic Function		Mathematical	coprime? relatively mutually testif		
I(0=|)J	Does I divide J?	Tacit	Dyadic Function		Mathematical	testif divides divisibility divisor ∣		
I(0≠|)J	Does I not divide J?	Tacit	Dyadic Function		Mathematical	testif divisibility divisor ∤ dividing		
(0≤≡)Y	Does Y have Uniform Depth?	Tacit	Monadic Function		Array Properties	testif uniform? orthogonal? rectangular?		
(0=≡)Y	Is Y a Simple Scalar?	Tacit	Monadic Function		Array Properties	testif simple? flat?		
(0>≡)Y	Does Y have Non-Uniform Depth?	Tacit	Monadic Function		Array Properties	testif ragged? nonuniform? nonorthogonal? nonrectangular?		
Is(?⍴)Js	Choosing Is random numbers in the range 1 to Js with replacement	Tacit	Dyadic Function		Mathematical	roll cells items		
(⍬≡⍴)Y	Is Y a Scalar?	Tacit	Monadic Function		Array Properties	testif		
(≢⍴)Y	Rank (number of dimensions) of Y	Tacit	Monadic Function		Array Properties	howmanyaxes numberofaxes axiscount ⍴⍴ axes		
(1↓⍴)Y	Dimensions of major cells	Tacit	Monadic Function		Array Properties	shape items elements axes		
(¯1↓⍴)Y	Lengths of leading axes	Tacit	Monadic Function		Array Properties	shape dimensions start beginning		
(¯11○+)N	Swap real and imaginary	Tacit	Monadic Function		Mathematical			
M(○×)N	Area of cone with height M and radius N (excluding base)	Tacit	Dyadic Function		Circular/Trigonometric	lengths bottom		
(2×○)N	Circumference of circle with radius N	Tacit	Monadic Function		Circular/Trigonometric	edge length		
M(¯3○÷)N	Angle of right triangle with height M and width N	Tacit	Dyadic Function		Circular/Trigonometric	pythagorean		
(¯1○÷)N	Arccosecant	Tacit	Monadic Function		Circular/Trigonometric	inverse acsc() arccsc() acosec() arccosec() arcuscosecans		
(¯2○÷)N	Arcsecant	Tacit	Monadic Function		Circular/Trigonometric	inverse asec() arcsec() arcussecans		
(¯3○÷)N	Arccotangent	Tacit	Monadic Function		Circular/Trigonometric	inverse acot() acotg() actg() actn() arcot() arccot() arccotg() acotn() arccotn() arcctg() arcctn() arcuscotangens		
(¯5○÷)N	Hyperbolic area cosecant	Tacit	Monadic Function		Circular/Trigonometric	inverse acsch() csch^-1() csch⁻¹() acosech() cosech^-1() cosech⁻¹() arcsch() arcosech() arccsch() arccosech() cosecanshyperbolicus		
(¯6○÷)N	Hyperbolic area secant	Tacit	Monadic Function		Circular/Trigonometric	inverse asech() sech^-1() sech⁻¹() arsech() arcsech() secanshyperbolicus		
(¯7○÷)N	Hyperbolic area cotangent	Tacit	Monadic Function		Circular/Trigonometric	inverse acoth() actgh() ctgh^-1() ctgh⁻¹() acotgh() cotgh^-1() cotgh⁻¹() acotnh() cotnh^-1() cotnh⁻¹() actnh() ctnh^-1() ctnh⁻¹() arctgh() arcoth() arcotgh() arctnh() arccoth() arcctgh() arccotgh() arcctnh() cotangenshyperbolicus		
(¯1*~)B	Map 0/1 to ¯1/1	Tacit	Monadic Function		Data Conversion	convert Booleans signum unit direction sgn zeros zeroes ones negative positive change changing convert converting -1 binary	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0Dq031KrTVDBUMABiIPn/PwA	
(-∘1)N	Decrement	Tacit	Monadic Function		Mathematical	decrease previous		
(1∘-)N	Probabilistic inverse (NOT)	Tacit	Monadic Function		Mathematical	fuzzy probability chance logicalnot logicalnegation logicalcomplement ¬ negate inverting		
(÷∘100)N	Rate corresponding to percentage N	Tacit	Monadic Function		Mathematical	conversion converting change changing		
(÷∘2)N	Halve: N÷2	Tacit	Monadic Function		Mathematical	halfof		
(1∘↑)Ym	First row as a row matrix (row vector)	Tacit	Monadic Function		Selection	topmostrow leading 1st table list start beginning		
(¯1∘↑)Ym	Last row as a row matrix (row vector)	Tacit	Monadic Function		Selection	bottommostrow trailing table list ending		
(*∘3)N	Cube	Tacit	Monadic Function		Mathematical	³ ^3		
(,∘1)Y	Append a column of 1s	Tacit	Monadic Function		Structural	ones trues truths		
Xv(,⍤0)Yv	Two-column matrix from two vectors (repeat scalars)	Tacit	Monadic Function		Structural	table lists columns		
Xv(,⍤1)Ym	Prefix vector to each row of matrix	Tacit	Dyadic Function		Structural	prepend rows list table rows		
Xm(,⍤1)Yv	Postfix vector to each row of matrix	Tacit	Dyadic Function		Structural	append rows list table rows		
(,⍤0)Y	Increment rank by inserting a new dimension after the trailing one	Tacit	Monadic Function		Structural	additional dimensions axes axis items elements cells extend shape add ending last columnmatrixfromvector	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9W5R0NB51LvEQFNBPTEpWZ0Li4SxggmQC5Rw/P8fAA	
(⍪∘1)Y	Append a row of 1s	Tacit	Monadic Function		Structural	ones trues truths		
Is(⊃⌽)Yv	Pick item of vector Yv at cyclic offset Is (like ⎕IO←0, default Is:¯1)	Tacit	Dyadic Function		Selection	element cell list ⎕ioindependent ⎕ioindependence ⎕io-insensitive ⎕ioinsensitive Choosing choose ⎕io=0	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTMFTQedTU/6tmrqaCemJSckpqm/v8/AA	
(⊃⌽)Yv	Pick last item of vector Yv	Tacit	Monadic Function		Selection	element cell list		
(1 ¯1×⊂)N	±N by juxtaposition	Tacit	Monadic Function		Mathematical	plusminus		
(¯1 1×⊂)N	∓N by juxtaposition	Tacit	Monadic Function		Mathematical	minusplus		
(10 12○⊂)N	Split complex array into two-element vector of magnitude array and angle array	Tacit	Monadic Function		Data Conversion	complexnumber polar arc() abs() separate parts absolute values list tuple converting change changing		
(9 11○⊂)N	Split complex array into two-element vector of real array and imaginary array	Tacit	Monadic Function		Data Conversion	complexnumber re() im() separate parts values list tuple converting change changing		
(⊂⍤¯1)Y	Enclose each major cell for any rank Y	Tacit	Monadic Function		Structural	dimensions higher high-rank any-rank highrank anyrank items elements axes cells		
Is(1⌷⊖)Y	Select major cell of Y at cyclic offset Is (like ⎕IO←0, default Is:¯1)	Tacit	Dyadic Function		Selection	element item		
(1⌷⊖)Y	Tail: Last major cell	Tacit	Monadic Function		Selection	Y[-1;] X[-1;] Y[-1] X[-1] Y[¯1;] X[¯1;] Y[¯1] X[¯1] trailing element item ending		
Im(⌷⍤¯1 99)Y	Select: each major cell of Im selects a cell from Y	Tacit	Dyadic Function		Selection	rightshoeunderbar saneindexing ⊇ items elements index		
(¯1+⍳)Js	Integers from 0 to Js-1	Tacit	Monadic Function		Mathematical	whole numbers naturals 1st		
(⍳≢)Y	Indices of Major Cells of Y	Tacit	Monadic Function		Index Generation	enumerate number count items elements		
(⍳⍴)Y	All indices of array Y	Tacit	Monadic Function		Index Generation			
(⍳∘1)N	Index of first 1 in N	Tacit	Monadic Function		Index Generation	indexof one locate find positionof location 1st		
X(⍳⍤1)Y	Indices of elements of X in corresponding rows of X (X[i;]⍳Y[i;])	Tacit	Dyadic Function		Index Generation	indexin indexof find locate positionof rowwise row-wise locating cells items location horizontally		
Ms(⍳,)Ns	Catalogue of all pairs from ⍳Ms and ⍳Ns	Tacit	Dyadic Function		Index Generation	pairings tuples table matrix		
(0∊≠)Y	Are any major cells identical?	Tacit	Monadic Function		Sets	testif anysame? anyequal? anyduplicates? anyidentical? anydups? items elements		
(0∊⍴)Y	Is Y an Empty Array?	Tacit	Monadic Function		Structural	testif isempty? isvoid? isnull?		
X(~∊)Y	Boolean items in X that are not in Y	Tacit	Dyadic Function		Sets	isnotin membership notcontainedin hasn't doesnothave elementof ∉ cells elements binary base-2 base2		
(∊∘⍬)Y	Zeros, simple with same shape	Tacit	Monadic Function		Boolean/Logical	zeroes naughts 0s falses falsehoods		
X(∊⍤1)Y	Which elements of X belong to corresponding row of Y (≢X ↔ ≢Y)	Tacit	Dyadic Function		Sets	testif memberof isin membership containedin has cells items		
X(1=⍸)Y	Is Y within the range [ 1⌷X , 2⌷X )	Tacit	Dyadic Function		Comparison	testif ≤Y< ≤X< tao totalarrayordering interval inrange?	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYwVNAxtH/Xu0FQw4MIiaIhN0AiboDE2QZP//wE	
X(1≠⍸)Y	Is Y outside the range [ 1⌷X , 2⌷X )	Tacit	Dyadic Function		Comparison	testif >Y≥ >X≥ tao totalarrayordering interval outsiderange?	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYwVNAwfdS541LtDU8GAC6uwIXZhI@zCxtiFTf7/BwA	
(⊃⍸)B	Index of first satisfied condition in B	Tacit	Monadic Function		Index Generation	1st		
X(⍸∊)Y	Indices of all occurrences of elements of X in Y	Tacit	Dyadic Function		Index Generation	locate find membersof positionsof locating cells items location		
(⊃⍋)Y	Index of Smallest	Tacit	Monadic Function		Comparison	find locate positionof least minimum lexicographically lexically locating location		
X(⍋⍳)Y	Grade up of Y according to key X	Tacit	Dyadic Function		Index Generation	custom sort order ascending		
(⍋⍋)Y	Ascending cardinal numbers (ranking, all different)	Tacit	Monadic Function		Index Generation	rising up ordinality		
(⊃⍒)Y	Index of Largest	Tacit	Monadic Function		Comparison	find locate positionof biggest greatestif maximum lexicographically lexically locating location		
X(⍒⍳)Y	Grade down of Y according to key X	Tacit	Dyadic Function		Index Generation	custom sort order descending		
(⍋⍒)Y	Descending cardinal numbers (ranking, all different)	Tacit	Monadic Function		Index Generation	falling down ordinality		
(↓⍉)Ym	Matrix to vector of column vectors	Tacit	Monadic Function		Structural	split table lists into columns	https://tio.run/##ASkA1v9hcGwtZHlhbG9n///ijpXihpAgKOKGk@KNiSkgMyA04o204o2zMTL//w	
(⍉↑)Yv	Convert inverted table to table (character data as vectors of vectors)	Tacit	Monadic Function		Structural	matrix tables transforming transformation change changing into un-inverting un-inversion un-vertion unverting unversion unvertion	https://tio.run/##SyzI0U2pTMzJT/@vnpJZXJCTWKn@qG@qc6R6Slpesfp/IPtR2wQFqJSCxqPezkdtEzUVNNQdk9QV1J1TUtPUgTxDBSMgaa5grPn/PwA	
(⍉⍤2)Y	Transpose every submatrix of Y	Tacit	Monadic Function		Structural	cant ^T ⸆ ᵀ sub-matrix sub-table subtable planes		
X(⊃⍷)Y	If Y begins with X	Tacit	Dyadic Function		Boolean/Logical	prefixof? startswith? prefix?		
X(⍸⍷)Y	Positions of starts of subarrays X in Y	Tacit	Dyadic Function		Index Generation	beginningsof sub-arrays sub-strings substrings subvectors sub-vectors sub-matrices submatrices sub-sequence subsequence segmented sub-lists partitioned sublists starting points separated separator delimiter		
(0J1⊥⊖)Nm	Parallel projection of 3D object in Nm	Tacit	Monadic Function		Mathematical			
(0⊥⍴)Y	Number of columns in Y	Tacit	Monadic Function		Array Properties	trailingshape		
M(⊥⍣¯1)N	N in Base M	Tacit	Dyadic Function		Mathematical	tobase conversion converting change changing		
(≢⍕)Js	Number of digit positions in Js (depends on ⎕PP)	Tacit	Monadic Function		Mathematical	digits		
Is(⍎⍕)N	Rounding N to Is decimal places	Tacit	Dyadic Function		Mathematical	precision banking banker's bank's		
(⍎⍕)Nv	Reshaping only one-element numeric vector Nv into a scalar (leave longer vectors as-is)	Tacit	Monadic Function		Structural	1-element singleton lists		
(⍎⍕)Nv	Rounding to ⎕PP precision	Tacit	Monadic Function		Mathematical	system		
(2|⎕DR)Y	Is Y numeric?	Tacit	Monadic Function		Array Properties	testif num? nums? datatype data-type numbers?		
(326≠⎕DR)Y	Is Y a Homogeneous Array?	Tacit	Monadic Function		Array Properties	testif homogeneous? simple? flat? single-type consistent-type uniform?		
(⊃⎕NGET)Dv	Read Unicode text file Dv content as simple vector	Tacit	Monadic Function		System	native files fetch load ascii ansi Windows-1252 UTF-8 UTF-16LE UTF-16BE UTF-32LE UTF-32LE charvec charactervector textvector single one long string	https://tio.run/##SyzI0U2pTMzJT///X@NRV5O6R2pOTr66gnp4flFOirrmo76pfgGhIQrquZVpmTmpeiUVJepcQMFHbRMUgOqbQfLuriGaKAr@/wcA	
(20⎕DT⊆)J	Convert ⎕TS-style timestamps to UNIX times	Tacit	Monadic Function		Data Conversion	UnixTime PosixTime UnixEpochTime 1970		
(¯1⎕DT⊆)J	Convert (Dyalog date number) date-times to ⎕TS-style time stamps	Tacit	Monadic Function		Data Conversion	datetimes date-times millisecond YMDhmsfff ms IDNToDate		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
(¯10⎕DT⊆)J	Convert (⎕TS-style or Dyalog date number) date-times to ISO day-of-year components time stamps	Tacit	Monadic Function		Data Conversion	datetimes date-times YDhmsffffff μs		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
(¯11⎕DT⊆)J	Convert (⎕TS-style or Dyalog date number) date-times to ISO day-of-week components time stamps	Tacit	Monadic Function		Data Conversion	datetimes date-times YWDhmsffffff μs		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
(¯2⎕DT⊆)J	Convert (⎕TS-style or Dyalog date number) date-times to microsecond precision ⎕TS-style time stamps	Tacit	Monadic Function		Data Conversion	datetimes date-times YMDhmsffffff μs		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
(¯20⎕DT⊆)J	Convert (⎕TS-style or Dyalog date number) date-times to decimal encoded date and time stamps	Tacit	Monadic Function		Data Conversion	datetimes date-times YWDhms		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
(¯3⎕DT⊆)J	Convert (⎕TS-style or Dyalog date number) date-times to nanosecond precision ⎕TS-style time stamps	Tacit	Monadic Function		Data Conversion	datetimes date-times j expanded digit time YMDhmsfffffffff ns		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
(¯30⎕DT⊆)J	Convert (⎕TS-style or Dyalog date number) date-times to DateTimePicker format time stamps	Tacit	Monadic Function		Data Conversion	datetimes date-times IDNhms		https://help.dyalog.com/latest/#Language/System%20Functions/dt.htm
As↓⍨∘-⍨Y	Conditional drop of last element of Y	Tacit	Dyadic Function		Structural	trailing cell item delete remove ending without removing erasing erase eliminate eliminating deleting		
Is↑⍨∘-⍨Yv	Padding Yv on the left to width Is	Tacit	Dyadic Function		Structural	extend left-align leftalign text string		
X⍴⍨∘⍴⍨Y	Array with shape of X and content of Y	Tacit	Dyadic Function		Structural	reshape mould mold form fill		
,∘⊆∘,Y	Normalise scalar/vector/vector of scalars/vectors to vector of vectors	Tacit	Monadic Function		Structural	normalize nested nesting flexible consistent input		
Iv⌷⍨∘⊂⍨Y	Select major cells Iv from Y	Tacit	Dyadic Function		Selection	rightshoeunderbar saneindexing ⊇ items elements getting picking selecting		
Iv⌷⍨∘⊂⍨Y	Permute: Reorder major cells of Y according tot permutation vector Iv	Tacit	Dyadic Function		Selection	rightshoeunderbar ⊇ items elements permutation permuting		
X⍳⍨∘⊖⍨Y	Index of last occurrence of major cells Y in X, counted from the rear	Tacit	Dyadic Function		Index Generation	indexin indexof find locate positionof locating items elements location reverse back trailing ending	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUE5OKEpMTU0CUusKj3s2Pelc86pjxqGsakAGSVf//HwA	
⍳∘≢∘⍴Y	All axes of array Y	Tacit	Monadic Function		Index Generation	dimensions		
Iv∊∘⍳∘≢Y	Starting points for Y in indices pointed by Iv	Tacit	Dyadic Function		Structural	segmented partitioned starts beginnings separated separator delimiter		
+\⍣2∘⍳Js	First Js triangular pyramidal numbers	Tacit	Monadic Function		Mathematical	figurative tetrahedral oeisA000292 oeisA292 1st		
⌽∘⍉∘⌽Ym	Reflect counter-diagonally	Tacit	Monadic Function		Structural	mirroring reflecting reflection counterdiagonally mirror		
Is⌿∘⍉∘⍪Yv	Matrix with Is rows, each consisting of Yv	Tacit	Dyadic Function		Structural	fill table		
Xs+.=∘,Y	Number of occurrences of scalar Xs in array Y	Tacit	Dyadic Function		Comparison	count tally		
M(⊢-|)N	Largest whole multiple of M less than or equal to N (N rounded down to closest smaller multiple of M)	Tacit	Dyadic Function		Mathematical	without less nodivisionremainder bar() noresidual intmultiples smaller ≤ integer unit floor	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMDRQ0HnUt0q3RVLAEcQwNFQwtFYwMFIwM//8HAA	
(×|⊢)N	Fractional part with sign	Tacit	Monadic Function		Mathematical	decimals		
(⊢=+)N	Is N real?	Tacit	Monadic Function		Mathematical	testif		
(⌊=⊢)N	Is N integer?	Tacit	Monadic Function		Mathematical	testif whole number?		
(⊢≠+)N	Is N complex?	Tacit	Monadic Function		Mathematical	testif		
(⌽≡⊢)Dv	Is Dv a palindrome?	Tacit	Monadic Function		Text	testif string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HvXsfdS58FHXIk0F9aLE5NTkxCJ1LmySQAmQvPr//wA	
I(⌊1+⍟)J	Length to represent J in base I	Tacit	Dyadic Function		Mathematical	width representation required digits positions		
(¯2○1○⊢)N	Complementary Angle	Tacit	Monadic Function		Circular/Trigonometric	○/		
(1⍴⍨≢)Ym	Vector having as many ones as Ym has rows	Tacit	Monadic Function		Boolean/Logical	1s trues truths list		
(*×⍨)N	Limit of nominal rate N when continuously compounded	Tacit	Monadic Function		Mathematical	interest		
(180÷⍨○)N	N Degrees in Radians	Tacit	Monadic Function		Circular/Trigonometric			
(!-∘1)N	Gamma function of N	Tacit	Monadic Function		Mathematical	gamma() Γ		
(÷1∘○)N	Cosecant	Tacit	Monadic Function		Circular/Trigonometric	csc() cosec() cosecans		
(÷2∘○)N	Secant	Tacit	Monadic Function		Circular/Trigonometric	sec() secans		
(÷3∘○)N	Cotangent	Tacit	Monadic Function		Circular/Trigonometric	cot() cotg() ctg() cotn() ctn() cotangens		
(÷5∘○)N	Hyperbolic cosecant	Tacit	Monadic Function		Circular/Trigonometric	csch() cosech() cosecanshyperbolicus		
(÷6∘○)N	Hyperbolic secant	Tacit	Monadic Function		Circular/Trigonometric	sech() secanshyperbolicus		
(÷7∘○)N	Hyperbolic cotangent	Tacit	Monadic Function		Circular/Trigonometric	coth() ctgh() cotgh() ctnh() cotnh() cotangenshyperbolicus		
(○*∘2)N	Area of circle with radius N	Tacit	Monadic Function		Circular/Trigonometric	length		
(~2∘|)J	J is Even	Tacit	Monadic Function		Mathematical			
{X} f∘g⍨⍨Y	J Hook: Y f g Y when monadic and X f g Y when dyadic	Tacit	Monadic Function		Composition			
~∘' '¨D	Remove blanks in each string	Tacit	Monadic Function		Text	deletespaces spaces drop without removing erasing erase eliminate eliminating delete deleting		
(¯2-/⊢)N	Deltas: (N[2]-N[1])(N[3]-N[2])(N[4]-N[3])…	Tacit	Monadic Function		Mathematical	pairwisedifferences changes steps		
(¯2÷/⊢)N	Ratio of each number in a list to its predecessor: (N[2]÷N[1])(N[3]÷N[2])(N[4]÷N[3])…	Tacit	Monadic Function		Mathematical	pairwiseratios vector		
(⌈/|)N	Largest row-wise magnitude found in N	Tacit	Monadic Function		Mathematical	rowwise horizontally biggest greatestif maximum absolute value		
(⌊/|)N	Smallest row-wise magnitude found in N	Tacit	Monadic Function		Mathematical	rowwise horizontally least minimum absolute value		
(0=/⊢)Yv	Ones, same shape plus one	Tacit	Monadic Function		Boolean/Logical	1s trues truths		
(0≠/⊢)Yv	Zeros, same shape plus one	Tacit	Monadic Function		Boolean/Logical	zeroes naughts 0s falses falsehoods		
Xv(+/≠)Yv	Hamming distance	Tacit	Dyadic Function		Mathematical	edit stringcomparison fuzzy		
(×/⍴)Y	Count the number of elements in an array	Tacit	Monadic Function		Array Properties	tallyall ⍴, numberofelements numberofitems howmanyelements howmanyitems whole scalars countall ×⌿⍴ ≢, ⍴, cells items		
(=/⍴)Ym	Is Ym a square matrix?	Tacit	Monadic Function		Array Properties	square? table	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0bPUf9W7RVHjUNlE9MSlZXUE9JTVNnQurLFAyOUX9/38A	
Is(*/⍴)Ns	Tetration: ᴺˢIs	Tacit	Dyadic Function		Mathematical	hyper-4 hyper4 N↑↑I ᴺˢIs ᴺI knuth's up-arrow uparrow N^^I I[4]N tetrate tetrating ⁿa a↑↑n	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFTS09B/1btFUMOKCChnBhUz@/wcA	
(+⌿|)N	Sum of magnitude of N	Tacit	Monadic Function		Mathematical	absolutesummation sumabs		
(⌈⌿|)N	Largest column-wise magnitude found in N	Tacit	Monadic Function		Mathematical	columnwise horizontally biggest greatestif maximum absolute value vertically row-wise rowwise		
(⌈⌿|)N	Infinity-norm	Tacit	Monadic Function		Mathematical	L∞-normal L-∞ ℓ∞ ℓ-∞ Linf	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HvV0POrZX6OpYKxg8v8/AA	
(⌊⌿|)N	Smallest column-wise magnitude found in N	Tacit	Monadic Function		Mathematical	columnswise horizontally least minimum absolute value vertically columnwise row-wise rowwise		
(1∘↑⍤1)Ym	First column as a column matrix (column vector)	Tacit	Monadic Function		Selection	leftmostcolumn leading 1st table list start beginning		
(¯1∘↑⍤1)Ym	Last column as a column matrix (column vector)	Tacit	Monadic Function		Selection	rightmostcolumn trailing table list ending		
Xs@(Ys∘=)Y	Replacing all values Ys in Y with Xs	Tacit	Monadic Function	Dyadic Operator	Structural	substitute merge amend replace update		
Ms(+,-)Ns	Ms±Ns	Tacit	Dyadic Function		Mathematical	plusminus		
Ms(-,+)Ns	Ms∓Ns	Tacit	Dyadic Function		Mathematical	minusplus		
(+/,)N	Sum all elements in an array	Tacit	Monadic Function		Arithmetic	sumall +⌿, grandtotal sumitems cells items		
(+/,)B	Number of trues	Tacit	Monadic Function		Boolean/Logical	sumall howmanytrue count tally 1s ones truths		
Xs(,,⍤0)Yv	Inserting Xs before each element of Yv	Tacit	Dyadic Function		Structural	cell item interleave alternate		
Xv(,,⍤0)Yv	Merging equal-length vectors Xv and Yv alternately	Tacit	Dyadic Function		Structural	faro weave dovetail the technique zipper zipping merge interweave interweaving interleave interleaving shuffle shuffling meshing lists zip() zip zipwith() zip-with zipwith		
Xv(,,⍤1 0)Yv	Inserting Xv before every element of Yv	Tacit	Dyadic Function		Structural	merge cell item		
(⊃0∘⍴)Y	Fill element (converts characters to spaces, numbers to zeros)	Tacit	Monadic Function		Array Properties	fillelement padding 0s zeroes type cell item blanks falses falsehoods		
(⊃,/)Yv	Join array of arrays horizontally	Tacit	Dyadic Function		Structural	nextto juxtapose merge flattening flattened row-wise rowwise		
(⊃⍪⌿)Y	Join array of arrays vertically	Tacit	Dyadic Function		Structural	aboveandbelow stack merge flattening flattened column-wise columnwise		
(,⊂⍤¯1)Y	Vector of major cells for any rank Y	Tacit	Monadic Function		Structural	vectorise vectorize list dimensions higher high-rank any-rank highrank anyrank items elements axes		
(⊃0⍴⊂)Y	Type: 'a' 1 ⎕NULL → ' ' 0 ⎕NULL (∊ with ⎕ML←0)	Tacit	Monadic Function		Array Properties	prototype ⍷ datatypeof 0s zeroes spaces blanks zeros falses falsehoods		
Xs(≠⊆⊢)Yv	Split Yv at occurrences of Xs (removes separators and empty segments)	Tacit	Dyadic Function		Structural	cut chop divide linebreaks newlines spaces carriagereturns crnl crlf linefeeds vec2vtv separate separators chunk list dividing segments partitions by delimiters delimited string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTU9dUVNB51LnjU1faoa5GmgnpGak5Ovn5JRmpRqn55flFOivr//wA	
(⊂≡⊆)Y	Is Y a Simple Array?	Tacit	Monadic Function		Array Properties	testif simple? flat?		
(⊂≢⊆)Y	Is Y a Nested Array?	Tacit	Monadic Function		Array Properties	testif nested?		
(¯1+2×⍳)Js	Odd integers from 1 to 2×Js	Tacit	Monadic Function		Mathematical	numbers 1st	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0Dq031DY6PP1R72ZNBVMubKJm//8DAA	
(⍳¯1↑⍴)Y	Indices of trailing axis of Y	Tacit	Monadic Function		Array Properties	shape dimension ending		
X(⌈/⍳)Y	Index of last occurrence in X of any major cell of Y	Tacit	Dyadic Function		Index Generation	element find locate location indexin indexof positionof locating cells items		
X(⌊/⍳)Y	Index of first occurrence in X of any major cell of Y	Tacit	Dyadic Function		Index Generation	element find locate 1st location indexin indexof positionof locating cells items		
(⍳∘1⍤1)B	Convert permutation matrices in B to permutation vectors	Tacit	Monadic Function		Mathematical	word representation matrixes index representation	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HvVuftQxw/BR7xJDTYVHbRM1DBUMIFBTA8IwhDANUUWBAhAmWFzz/38A	
(0,2×⍳)Js	Even integers from 0 to 2×Js	Tacit	Monadic Function		Mathematical	numbers 1st	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0DHSMDk9/1LtZU8GUC1PM7P9/AA	
(~0∘∊)B	All	Tacit	Monadic Function		Boolean/Logical	forall true givenany tautology universalquantification ∀		
(~1∘∊)B	Not Any	Tacit	Monadic Function		Boolean/Logical	none notany		
(+/∊)N	Sum of all atoms in N	Tacit	Monadic Function		Mathematical	sumall +⌿∊ grandtotal sumitems		
Xv(∨/∊)Yv	Do Xv and Yv have any elements in common?	Tacit	Dyadic Function		Sets	testif anyshared? anycommon? cells items from		
Xv(∧/∊)Yv	Is Xv a Subset of Yv?	Tacit	Dyadic Function		Sets	testif subset? containedin ⊆ made of elements		
X@(∊∘Y)Z	Replace all occurrences of elements from Y in array Z with X	Tacit	Monadic Function	Monadic Operator	Structural	substitute merge amend update cells items	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUK9QdNB51dD3qmKHu6OrpH6quqaDu4erj46/g6Oei4O7v7@IU6ar@/z8A	
X(1⍳⍨∊)Y	Index of first occurrence in X of any item of Y	Tacit	Dyadic Function		Index Generation	cell element find locate 1st position find location		
(⊢≡∪)Y	Are all major cells distinct?	Tacit	Monadic Function		Sets	testif alldifferent? allunequal? noduplicates? nodups? items elements alldistinct? allunique?	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HnUtetS58FHHKk0F9cSk5BR1Lhwyier//wMA	
(∪⍳⊢)Y	Consecutive ids (indices with equal major cells mapping to same index)	Tacit	Monadic Function		Index Generation	integers replace with convertion to self-identifying generate ids identities serial-numbers enumeration labels	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HnWsetS7@VHXIk0FIwVzBUMFCyBtAaL//wcA	
Is(⊢∩∧)Jv	Elements of Jv divisible by Is	Tacit	Dyadic Function		Mathematical	filter divisors cells items		
Xv(~,∩)Yv	Move elements Yv (which are members of Xv) to the rear of Xv	Tacit	Dyadic Function		Sets	demote end cells items sort by non-membership non-members		
Xv(∩,~)Yv	Move elements Yv (which are members of Xv) to the front of Xv	Tacit	Dyadic Function		Sets	promote beginning cells items sort by non-membership non-members		
Xv(∪~∩)Yv	Symmetric Set Difference	Tacit	Dyadic Function		Sets	⊖		
(⊢/⍋)Y	Index of last maximum element of Y	Tacit	Monadic Function		Index Generation	find locate positionof greatestif biggest locating cell item location		
(⊢/⍒)Y	Index of last minimum element of Y	Tacit	Monadic Function		Index Generation	find locate positionof smallest least locating cell item location		
X(∧\=)Y	Indicate leading elements that are equal	Tacit	Dyadic Function		Comparison	show matching onleft cells items masking indicating start beginning		
X(∧\≠)Y	Indicate leading elements that are unequal	Tacit	Dyadic Function		Comparison	show different onleft cells items masking indicating start beginning		
(+\⍳)Js	First Js triangular numbers	Tacit	Monadic Function		Mathematical	oeisA000217 oeisA217 1st		
(-\⍳)Js	Alternating series (1,-1,2,-2, …) of length Js	Tacit	Monadic Function		Mathematical	oeisA001057 oeisA1057 1,¯1,2,¯2,		
(+\⍣¯1)N	Difference of adjacent pairs with seed value	Tacit	Monadic Function		Mathematical	differences deltas changes steps		
(≠\⍣¯1)B	Convert binary to reflected Gray code	Tacit	Monadic Function		Boolean/Logical	base-2 base2 Conversion converting change changing		
(⍉≡⊢)Ym	Is Ym symmetric?	Tacit	Monadic Function		Array Properties	testif		
(⍉≡+)Nm	Is Nm a Hermitian matrix?	Tacit	Monadic Function		Mathematical	testif Hermitian? self-adjoint? selfadjoint? Yᴴ Y† Aᴴ A†		
(-≡⍉)Ym	Is Ym anti-symmetric?	Tacit	Monadic Function		Array Properties	testif antisymmetric skewsymmetric skew-symmetric		
(⍉0/⍪)Yv	Using sample row Yv to form an initially empty matrix for later expansion	Tacit	Monadic Function		Structural	default initialise initialize table		
Xv(⊣/⍷)Ym	Boolean rows of Ym starting with X	Tacit	Dyadic Function		Sets	findfirstin search locatefirst binary base-2 base2		
Cv(1⍳⍨⍷)Dv	First occurrence of string Cv in string Dv	Tacit	Dyadic Function		Text	find locate positionof locating location 1st		
(*∘0.5)N	Square Root	Tacit	Monadic Function		Mathematical	squareroot sqrt ²√ ^0.5 ^.5		
(÷1⊥÷)Nv	Ohm's Law: resistance of parallel resistors/capacitance of serial capacitors	Tacit	Monadic Function		Mathematical	electronics electrics circuits Ω series inparallel		
(⊥⍨⌽)Bv	Count of leading ones	Tacit	Monadic Function		Boolean/Logical	1s trues truths at start beginning		
(⊥⍨~)Bv	Count of trailing zeros	Tacit	Monadic Function		Boolean/Logical	0s zeroes falses at end		
(⍳0⊥⍴)Ym	All column indices of array Ym	Tacit	Monadic Function		Index Generation	enumerate columns		
(10∘⊥⍣¯1)N	Digits of N	Tacit	Monadic Function		Mathematical	base10 decimal base-10		
(2∘⊥⍣¯1)J	Binary representation of J	Tacit	Monadic Function		Mathematical	digits base2 base-2 Boolean		
(⍉≡⌹)Nm	Is Nm an Orthogonal matrix?	Tacit	Monadic Function		Mathematical	testif Orthogonal?		
(⍕≡⊢)Y	Is Y a simple character array?	Tacit	Monadic Function		Array Properties	testif		
(1↓0∘⍕)Js	Show all digits of integer Js (unknown digits as “_”)	Tacit	Monadic Function		Text	display print decimals full non-exponential format normal string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSM9UwMjUyNXA0NuKAiGoaP2iYbPOqY8ah3qiaS/P//AA	
(1 0⍕10 10⊤⍳)Js	Vertically stack digits of ⍳Is (helps locating column positions)	Tacit	Monadic Function		Text	locate location column-wise columnwise string		
(0<40∘⎕ATX)Dv	Is Dv defined?	Tacit	Dyadic Function		System	used? unavailable? name identifier symboltable exists? loaded? set?		
(0≤40∘⎕ATX)Dv	Is Dv a valid APL identifier?	Tacit	Monadic Function		System	testif symbol validity identifiers names allowed? valid? name? legal? dyalog permitted? variable function operator label		https://help.dyalog.com/latest/#Language/Introduction/Variables/Names.htm
(0=40∘⎕ATX)Dv	Is Dv undefined?	Tacit	Dyadic Function		System	free? available? name identifier symboltable doesn't exist? not exists? missing?		
(3=40∘⎕ATX)Dv	Is Dv a function?	Tacit	Monadic Function		System	fn? are functions?		
(4=40∘⎕ATX)Dv	Is Dv an operator?	Tacit	Monadic Function		System	op? are operators?		
(2|⎕DR⍤1)Y	Which rows of Y are all numeric?	Tacit	Monadic Function		Array Properties	allnumberrows		
(7|1⎕DT⊆)J	Day of week (Sunday:0)	Tacit	Monadic Function		Mathematical	weekday gregoriancalendar		
(∊1⎕NPARTS⊢)Dv	Absolute path name	Tacit	Monadic Function		System	filesystem folder directory full normalised normalized simplified simplify		
(2⎕FIX 62∘⎕ATX)Dv	Enable preservation of whitespace for item Dv	Tacit	Monadic Function		System	allow keeping text-as-typed keeping save saving remembering white-spaces indents indentation code autoformatting auto-formatting layout custom text-as-is source-as-typed		
{≢⍵}⌸Y	Frequencies of major cells	Tacit	Monadic Function		Mathematical	occurrences statistics items elements		
X{⊂⍵}⌸Y	Group values Y by keys X	Tacit	Dyadic Function		Structural	groups grouping classify bins group-by		
{⊂⍵}⌸Y	Group indices of Y by keys Y	Tacit	Dyadic Function		Structural	groups grouping classify bins group-by		
+∘÷/∘⍳Js	Continued fraction: 1+÷2+÷3+÷4+÷5+÷6+÷…Js	Tacit	Monadic Function		Mathematical	series sequence		
Is,/∘⍳∘≢Y	Moving width-Is window of indices for array Y	Tacit	Dyadic Function		Index Generation			
∘.+⍨∘⍳Js	Addition Table for Numbers up to Js	Tacit	Monadic Function		Mathematical	additiontable cartesianaddition plustable matrix integers		
∘.×⍨∘⍳Js	Multiplication Table for Numbers up to Js	Tacit	Monadic Function		Mathematical	multiplicationtable cartesianproduct timestable matrix integers		
∘.⌈⍨∘⍳Js	Maximum table of 1…Js	Tacit	Monadic Function		Mathematical	matrix		
∘.<⍨∘⍳Js	Upper triangular matrix without diagonal: Js by Js	Tacit	Monadic Function		Boolean/Logical	triangle NE northeast north-east table remove strict removing erasing erase eliminate eliminating delete deleting	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQedczQs3nUuwJIP@rdrGD6/z8A	
∘.≤⍨∘⍳Js	Upper triangular matrix with diagonal: Js by Js	Tacit	Monadic Function		Boolean/Logical	triangle NE northeast north-east table	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQedczQe9S55FHvCiDrUe9mBdP//wE	
∘.≥⍨∘⍳Js	Lower triangular matrix with diagonal: Js by Js	Tacit	Monadic Function		Boolean/Logical	triangle SW southwest south-west table	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQedczQe9S59FHvCiDrUe9mBdP//wE	
∘.>⍨∘⍳Js	Lower triangular matrix without diagonal: Js by Js	Tacit	Monadic Function		Boolean/Logical	triangle SW southwest south-west table remove strict removing erasing erase eliminate eliminating delete deleting	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQedczQs3vUuwJIP@rdrGD6/z8A	
M(⊢×1-⊣)N	Probabilistic converse nonimplication	Tacit	Dyadic Function		Mathematical	fuzzy probability chance ⇍ Mpq		
M(⊣×1-⊢)N	Probabilistic nonimplication	Tacit	Dyadic Function		Mathematical	fuzzy probability chance abjunction ⇏ not butnot Lpq		
A(⊢ׯ1*⊣)N	Conditional elementwise change of sign	Tacit	Dyadic Function		Mathematical	signum conditionalnegation changing converting conversion		
M(⊣+¯11○⊢)N	Join real part M and imaginary part N to form complex	Tacit	Dyadic Function		Mathematical	complexnumber re() im() values combine ⌾ cartesian rectangular ⊕		
M(⊣ׯ12○⊢)N	Join magnitude M and radians N to form complex	Tacit	Dyadic Function		Data Conversion	complexnumber polar angle absolute values combine converting change changing ⊗		
(¯128+256|128∘+)J	Convert from unsigned short integers to signed short integers	Tacit	Monadic Function		Data Conversion	datarepresentation converting change changing		
(≢↑1∘↓)Y	Shifting Y left/up one position (padding on right/bottom)	Tacit	Dyadic Function		Selection	leftshift list vector 1		
(1=≢∘⍴)Y	Is Y a vector?	Tacit	Monadic Function		Array Properties	testif rank1	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0DG0fdS561DHjUe8WTQV1j9ScnHx1LhySuCTU//8HAA	
(⌊1+10∘⍟)J	Number of digits in strictly positive integers in J	Tacit	Monadic Function		Mathematical	needed positions width representation	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HvV0GWobGjzqmPGod76mgqGZoYWCoYKRuaGFkcX//wA	
(180÷○∘÷)N	N Radians in Degrees	Tacit	Monadic Function		Circular/Trigonometric			
(○4×*∘2)N	Area of sphere with radius N	Tacit	Monadic Function		Circular/Trigonometric	length ball		
(*∘÷∘3)N	Cube Root	Tacit	Monadic Function		Mathematical	squareroot cbrt ³√ ∛ ^0.333 ^.333 ^(1/3)		
M×⍥(1∘-)N	Probabilistic NOR	Tacit	Dyadic Function		Mathematical	fuzzy probability chance peirce'sarrow quine'sdagger ampheck neithernor jointdenial Xpq ⊽		
(×/1↓⍴)Y	Number of elements in major cells	Tacit	Monadic Function		Array Properties	shape items		
(×/¯1↓⍴)Y	Number of rows in array Y (also of vector)	Tacit	Monadic Function		Array Properties	list		
(3÷⍨×/)Nv	Volume of pyramid with height, width, length Nv	Tacit	Monadic Function		Mathematical	lengths sides		
(⊢-⌊⌿)N	Normalise N so that minimum item is 0	Tacit	Monadic Function		Mathematical	normalize zero smallest least cell element		
(⊢÷+⌿)N	Normalise N so that sum is 1	Tacit	Monadic Function		Mathematical	normalize one	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HnUtOrxd@1HPfk0FYwVDBRMFw///AQ	
Is(+⌿÷⊣)N	Is-wise rolling average	Tacit	Dyadic Function		Mathematical	rollingmean windowedmean windowedaverage n-wise		
(⊢=⌈⌿)N	Locate all instances of maximum of N	Tacit	Monadic Function		Boolean/Logical	indicate where equal to maxima maximums location masking indicating		
(+⌿÷≢)N	Arithmetic mean of N	Tacit	Monadic Function		Mathematical	average arithmeticmean() AM() avg() mean()		
(1↑⍨⍤0-)I	Convert permutation vectors in I to permutation matrices	Tacit	Monadic Function		Mathematical	word representation matrixes index representation	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0DB@1TXzUu@JR7xIDXU0FQwUTBSMFUwXj//8B	
X f@(1⍴⍨⍴)Y	Handling array Y temporarily as a vector (optionally with left argument X)	Tacit	Ambivalent Monadic Function, Dyadic Function	Monadic Operator	Function Application	columnheadings columnnumbers ⍢, flattened flattening ravelled raveled list		
Xs@(1⍴⍨⍴)Y	Fill array Y with Xs	Tacit	Monadic Function	Monadic Operator	Structural			
(⍴⍨0∘,)Js	Initialise a matrix with Js columns and no rows	Tacit	Monadic Function		Structural	table		
(¯2-/0∘,)Iv	Segment lengths from beginning indices	Tacit	Monadic Function		Data Conversion	chunk start leading converting change changing segments partitions		
(⌈/,∘0)N	Positive maximum, at least zero (also for empty N)	Tacit	Monadic Function		Mathematical	largest biggest		
Xs(1↓∘,,)Ym	Matrix to vector using Xs as separator (excludes initial separator)	Tacit	Dyadic Function		Structural	vectorise vectorize serialise serialize list table delimited segmented separated string delimiter		
Xv(,,⍤0 1⍨)Yv	Inserting Xv after every element of Yv	Tacit	Dyadic Function		Structural	merge cell item inserting interspersing intersperse		
(0⍪2>⌿⊢)N	Indicate increases in N	Tacit	Monadic Function		Mathematical	1s where increasing		
(1⍪2≢⌿⊢)Y	Indicate starting points of groups of equal elements (non-empty Yv)	Tacit	Monadic Function		Comparison	beginnnings masking Booleans binary base-2 base2 sequences leading runs identical major cells rows items starts contiguous		
(1⍪2≢⌿⊢)Y	Indicate which elements differ from previous ones (non-empty Yv)	Tacit	Monadic Function		Comparison	masking Booleans binary base-2 base2 sequences runs testif neighboring neighbours neighbors lefthand major cells rows items 1s trues truths contiguous		
(2<⌿0∘⍪)B	First ones in each group of ones	Tacit	Monadic Function		Boolean/Logical	beginningsofruns trues truths 1st binary base-2 base2 groups runs sequences blocks contiguous		
(2>⌿⍪∘0)B	Last ones in each group of ones	Tacit	Monadic Function		Boolean/Logical	runs blocks 1s trues truths beginningsofruns trues truths 1st binary base-2 base2 groups runs sequences blocks contiguous		
(⊃⌽∘⍴)Y	Number of items in trailing axis	Tacit	Monadic Function		Array Properties	count length() cells len() cells elements dimension ending		
(⊃⌽∘,)Y	The last item of Y	Tacit	Monadic Function		Selection	cell element		
Iv(↑⍴∘⊂)Y	Iv copies of Y	Tacit	Dyadic Function		Structural	copy repeat repetitions duplicate reshape	https://tio.run/##ASsA1P9hcGwtZHlhbG9n///ijpXihpAgMyAo4oaR4o204oiY4oqCKSAnYWJjJ///	
(↑,∘⊂)Y	Increment rank by inserting a new dimension before the leading one	Tacit	Monadic Function		Structural	additional dimensions axes axis items elements cells extend shape add beginning first 1st rowmatrixfromvector	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9W5R0HjUNlHnUceMR11NmgrqiUnJ6ly4ZI0VTIBiQFnH//8B	
(⍳∘≢⍴)Y	Indices of dimensions of Y	Tacit	Monadic Function		Array Properties	shape axes		
(,∘⍳⍴)Y	All indices of Y	Tacit	Monadic Function		Index Generation	indicesof		
Xv(∧/∊⍨)Yv	Is Xv a Superset of Yv?	Tacit	Dyadic Function		Sets	testif superset? contains ⊇		
Xv(∊⍨×⍳)Yv	Changing index of an unfound element to zero (slow)	Tacit	Dyadic Function		Index Generation	missing cell item change converting conversion		
X(⊃∘⍸≠)Y	Index of first differing element in X and Y	Tacit	Dyadic Function		Index Generation	indexin indexof find locate positionof unequal different 1st locating cell item difference location		
Xv(⍸-∊⍨)Yv	Indices of items of Yv in right-inclusive intervals with cut-offs Xv	Tacit	Dyadic Function		Index Generation	left-exclusive intervalindex iotaunderbar bins groups ranges buckets classes classifying classification items (a,b] ]a,b] ⍺<x≤b	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUHV09/UPVFTQe9e7QfdTR9ah3haaCukuko4@/uzoXVJGRgomCGaoSQ6CgMVDYFChh/v8/AA	
X(⊃∘⍸∊)Y	Index in X of the first element which is a member of Y	Tacit	Dyadic Function		Index Generation	find locate positionof locating memberof occurrence location 1st		
(1<≢∘∪)Y	Are any major cells distinct?	Tacit	Monadic Function		Sets	testif anydifferent? anyunequal? anyunique? items elements		
(1=≢∘∪)Y	Are all major cells of Y identical?	Tacit	Monadic Function		Comparison	testif allsame allmatch? elements items allidentical allequal	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0DG0fdS561DHjUccqTQX1xKRkdWSSixhlKer//wMA	
(1≥≢∘∪)Y	Are all major cells identical?	Tacit	Monadic Function		Sets	testif allsame? allequal? nounique? items elements		
(∪⊢∨⍳)Js	All divisors of Js	Tacit	Monadic Function		Mathematical	factorisation factorization		
M(⌊∘-⍣2)N	Force numbers N to range (-M)≤N≤M	Tacit	Dyadic Function		Mathematical	clamp restrictrange between ±M	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFTQe9XQ96pih@6h3sZGmgoGCocKh9UYKJkDS9P9/AA	
(∧\<⊢)B	Turn off all 1s before first 0 (remove leading 1s)	Tacit	Monadic Function		Boolean/Logical	unsetting indicating flipping turning change changing inverting negating bitmask bit-mask zeros zeroes trues truths ones falses falsehoods 1st start beginning mask not	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HnUsj7F51LVIU8EQCA2AEEQb/v8PAA	
(∨\≤⊢)B	Turn on all 0s before first 1 (add leading 0s)	Tacit	Monadic Function		Boolean/Logical	unsetting indicating flipping turning change changing inverting negating bitmask bit-mask zeros zeroes trues truths ones falses falsehoods 1st start beginning mask not	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HnWsiHnUueRR1yJNBQMgNISSQPj/PwA	
(,¨,\)Yv	Prefixes of a vector	Tacit	Monadic Function		Structural	string text		
(≠⍀∨⊢)B	Parity with connectors: Joining pairs of odd and even ones (fill gaps with ones)	Tacit	Monadic Function		Boolean/Logical	1s pad trues truths		
(~∧≠⍀)B	Places between pairs of ones	Tacit	Monadic Function		Boolean/Logical	1s trues truths		
(⍉⍪∘⍉)Y	Join (⍪) planes of rank 3 array Y to form a single matrix	Tacit	Monadic Function		Structural	Merge demoterank lessenrank reduce flattening flattened reducing table		
X(≡∨1∊⍷)Y	Is X a Subarray of Y?	Tacit	Dyadic Function		Structural	testif contains? has? isin? issubarray? appearsin? sub-array sub-string substring subvector sub-vector submatrix sub-matrix sub-sequence subsequence sub-list sublist sub-table subtable		
X(⊃∘⍸⍷)Y	Position of first subarray X in Y	Tacit	Dyadic Function		Index Generation	beginningsof sub-array sub-string substring subvector sub-vector sub-matrix submatrix sub-sequence subsequence sub-list sublist sub-table subtable 1st		
(⌊0.5+⊢)N	Rounding to nearest integer (favouring up)	Tacit	Monadic Function		Mathematical	precision favoring whole number favoring closestinteger nearestinteger nint()	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HvV0GeiZaj/qWqSpYGyoZ6JgqGeqYGmkZ/b/PwA	
(1 ¯1∘.×⊢)N	±N increasing rank	Tacit	Monadic Function		Mathematical	plusminus dimensions axes		
(¯1 1∘.×⊢)N	∓N increasing rank	Tacit	Monadic Function		Mathematical	minusplus dimensions axes		
(32+1.8∘×)N	Celsius to Fahrenheit	Tacit	Monadic Function		Data Conversion	°Fahrenheit °Celsius f2c() ftoc() converting change changing		
(10 12∘.○⊢)N	From complex to magnitude and radians (increase rank with leading length-two axis)	Tacit	Monadic Function		Data Conversion	complexnumber polar arc() abs() separate parts angle absolute values start beginning converting change changing		
(9 11∘.○⊢)N	From complex to real and imaginary (increase rank with leading length-two axis)	Tacit	Monadic Function		Data Conversion	complexnumber re() im() separate parts values start beginning converting change changing		
Mm(1 2 1 2⍉∘.+)Nm	Sum of common parts of matrices (matrix sum)	Tacit	Dyadic Function		Mathematical	tables schur shur שור שוּר		
Mm(1 2 1 2⍉∘.×)Nm	Product of common parts of matrices (matrix sum)	Tacit	Dyadic Function		Mathematical	tables schur shur שור שוּר		
Mm(1 3 2 4⍉∘.×)Nm	Direct matrix product	Tacit	Dyadic Function		Mathematical			
(≢÷1⊥÷)N	Harmonic mean	Tacit	Monadic Function		Mathematical	average subcontrary H() HM() harmonicmean		
(⊥⍨0=⌽)Bv	Count of leading zeros	Tacit	Monadic Function		Boolean/Logical	0s zeroes falses at start beginning		
Mv(1⊥∘|-)Nv	Manhattan distance between two points in N-space	Tacit	Dyadic Function		Mathematical	taxicab L1 L-1 L1-distance ℓ1 ℓ-1 ℓ₁ L¹ d()	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMgPDQekMFQwUNw0ddSx91zKjR1QSKGYNk/v8HAA	
(3600÷⍨60∘⊥)Ns	Convert hours,minutes,seconds to decimal degrees/hours	Tacit	Monadic Function	Data Conversion		dms hms hrs hs degs arcminutes arcseconds amins asecs represent split combined ∘'" °′″ coordinates location position	https://tio.run/##AS8A0P9hcGwtZHlhbG9n///ijpXihpAgKDM2MDDDt@KNqDYw4oiY4oqlKSAxIDE1IDD//w	
Is(+⌿⊥⍣¯1)J	Base-Is digit sum	Tacit	Dyadic Function		Mathematical	digital		
(¯1⊥¨⍪⍀)N	An array that begins with 1↑N and has pair-wise sums 1↓N	Tacit	Monadic function		Mathematical	2+⌿⍣¯1⊢ 2+/⍣¯1⊢ inverse pairwise summation	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0Dq03fNS19NAKnRhNBWMdEwVTIDTjgsoaKWjr41Dy/z8A	
(1∘⎕C≠⊢)D	Are characters of D lowercase?	Tacit	Monadic Function		Text	is lower-case? small? minuscules? minuscule? string		
(¯1∘⎕C≠⊢)D	Are characters of D uppercase?	Tacit	Monadic Function		Text	is upper-case? large? caps? capitals? capital? majuscules? majuscule? string		
(7|1⎕DT,¨)J	Day of week (Sunday:0) of first of January J	Tacit	Monadic Function		Mathematical	weekday gregoriancalendar 1st year		
I-⍥(1⎕DT⊆)J	Number of days between ⎕TS-style timestamps I and J	Tacit	Dyadic Function		Data Conversion	datetime date-time difference subtraction timedelta time-delta ∆t Δt day-count daycount		
(0 2∊⍨10|⎕DR)Y	Is Y character?	Tacit	Monadic Function		Array Properties	testif char? text? datatype data-type chars? characters?		
(1 2 9∊⍨40∘⎕ATX)Dv	Is Dv an array?	Tacit	Monadic Function		System	are arrays? values? variables? constants?		
(9.1=42∘⎕ATX)Dv	Is Dv a namespace?	Tacit	Monadic Function		System	are namespaces?		
(⎕A⍳1∘⎕C)D	Convert letters to their positions in the alphabet	Tacit	Monadic Function		Index Generation	nth ordinals Conversion converting change changing		
Xv{+/⍵}⌸Nv	Sum Nv by buckets Xv (⍴Nv ↔ ⍴Xv)	Tacit	Dyadic Function		Mathematical	groups grouping classify bins		
{0<≢60⎕ATX⍵}Dv	Is Dv scripted?	Tacit	Monadic Function		System	does objects have has script? ⎕FIXed source? text? sourced? ns namespace class interface		
(~∘' ')Dv	Remove blanks in string	Tacit	Monadic Function		Text	deletespaces spaces drop without removing erasing erase eliminate eliminating delete deleting		
Xv{⍉↑⍺⍵}Yv	Two-column matrix from two vectors (pad shorter vector)	Tacit	Monadic Function		Structural	table lists		
Xv∘.{⍺⍵}Yv	Catalogue of all pairs from Xv and Yv	Tacit	Dyadic Function		Structural	pairings tuples table matrix		
A(1-⊢×1-⊣)B	Probabilistic converse implication	Tacit	Dyadic Function		Mathematical	fuzzy probability chance because ∵ ⇐ if converseconditional Bpq reverseimplying		
A(1-⊣×1-⊢)B	Probabilistic implication	Tacit	Dyadic Function		Mathematical	fuzzy probability chance materialconditional materialconsequence implies implying materialimplication therefore ∴ ⇒ Cpq		
(1≡≡∧⍬≡⍴)Y	Is Y an object representation (⎕OR)?	Tacit	Monadic Function	Array Properties	System	⎕OR? nounified? package?	https://tio.run/##SyzI0U2pTMzJT///3y0//1HbhOpHvbu0H/VureV61DcVyNcwfNS5EIQ6lj/qXQNi9G7RBEr5BakDNagTUOUPUfX/PwA	
M(12○⊣+0J1×⊢)N	2-argument arctangent (M:x, N:y)	Tacit	Dyadic Function		Mathematical	atan2() arctan2() atn2() arctn2() atng2() arctng2()		
Is(⊣↑1⍴⍨⊢)Js	Prefix Vector: length Is with Js ones on the left, the rest zeroes	Tacit	Dyadic Function		Boolean/Logical	1s 0s zeros Is⍺Js falses falsehoods trues truths		
Is(×⍴1↑⍨⊢)Js	Starting points for Is fields of width Js	Tacit	Dyadic Function		Boolean/Logical	segmented partitioned vector starts beginnings list separated separator delimiter		
(××∘⌊|)N	Rounding towards zero	Tacit	Monadic Function		Mathematical	0 truncate whole number integer int() trunc() chop clamp		
I(!×∘!⊣)J	Number of ordered of combinations of I out of J	Tacit	Dyadic Function		Mathematical	combinatorics permutations		
Ms(⊢×<∘|)N	Null near-zero (within absolute distance Ms) values in N	Tacit	Monadic Function		Mathematical	zero-out 0-out remove eliminate arithmetic near-zeros near-zeroes near-0s set small tiny fuzz tolerance tolerant ⎕CT almost values numbers		
M(≤∘|×⊢)N	Rounding to zero values of N within M of zero	Tacit	Dyadic Function		Mathematical	precision fuzz 0		
Is(⊢∘≢↑↓)Y	Shifting Y left/up Is positions (padding on right/bottom)	Tacit	Dyadic Function		Selection	leftshift list vector		
Is(×∘⍴⍴⊢)Yv	Duplicating vector Yv Is times	Tacit	Dyadic Function		Structural	copying extending recycling recycle list		
(○4÷3÷*∘3)N	Volume of sphere with radius N	Tacit	Monadic Function		Circular/Trigonometric	length ball		
(1=∘?⍴∘2)Jv	Random Boolean array of shape Jv	Tacit	Monadic Function		Boolean/Logical	base2 binary base-2		
(2∘*+¯1∘*)Js	Jacobsthal-Lucas number	Tacit	Monadic Function		Mathematical	sequence Édouard Edouard Ernst J(n) A014551() A14551()		
(1∘○+2∘○)N	Hartley kernel	Tacit	Monadic Function		Mathematical	cas()		
(1=×/∘⍴)Y	Is Y a Singleton?	Tacit	Monadic Function		Array Properties	testif unit? sole? one?		
(⊣+¯11○⊢)⌿N	Join real and imaginary major cells by removing leading axis	Tacit	Dyadic Function		Mathematical	complexnumber re() im() values combine reduce start beginning remove erasing erase eliminate eliminating delete deleting cartesian rectangular		
(⊣ׯ12○⊢)⌿N	Join magnitude and radians major cells by removing leading axis	Tacit	Dyadic Function		Data Conversion	complexnumber polar angle absolute values combine reduce start beginning converting change changing remove erasing erase eliminate eliminating delete deleting		
(∧/2=⌿⊢)Ym	Comparison of successive rows	Tacit	Dyadic Function		Comparison			
Iv(-⍤⊣↓↓)Y	Drop first and last Iv items along leading axes of Y	Tacit	Dyadic Function		Selection	dropping remove trim cut major cells rows elements dimensions delete start beginning ending head tail infix removing erasing erase eliminate eliminating deleting		
Xs(⊖⊣@1∘⊖)Y	Replacing last major cell of Y with Xs	Tacit	Dyadic Function		Structural	substitute merge amend replace update item element		
Is(⊢↓⍨0,⊣)Ym	Drop Is columns from matrix Ym	Tacit	Dyadic Function		Structural	table delete remove without removing erasing erase eliminate eliminating deleting		
Is(,∘≢⍴⊢)Yv	Forming an Is-row matrix with all rows being Yv	Tacit	Dyadic Function		Structural	table		
(⍴⍴0,1⍨¨)Nm	Non-diagonal matrix of shape of matrix Nm	Tacit	Monadic Function		Mathematical	nondiagonal table		
(1,⍨2≠/⊢)Yv	Ending points of groups of equal elements (non-empty Yv)	Tacit	Monadic Function		Comparison	runs identical cells items ends trailing contiguous		
(1,⍨2≠/⊢)Yv	Which elements differ from next ones (non-empty Yv)	Tacit	Monadic Function		Comparison	testif neighbouring neightbors neighboring neighbours neighbors righthand cells items 1s trues truths		
(~∨/∘,)B	Are none true?	Tacit	Monadic Function		Boolean/Logical	testif theredoesnotexist ∄		
Xs(1↓∘,,⍤0)Yv	Join scalar elements of vector Yv with separator Xs	Tacit	Dyadic Function		Structural	interpose intersperse interposing interspersing combine merge flat list .join() joiner joining merging combining intersperse between interject inserting interspersing segmented separated delimiter		
X(⊢∘≢↑⍪)Y	Shift before: Inserting X at front/left/top of Y, pushing corresponding cells off the back/right/bottom edge	Tacit	Dyadic function		Strurctural	» pushing		
Bs(⊢⊃⍨1+⊣)Yv	Picking one of two values according to Bs	Tacit	Dyadic Function		Selection	Choosing choose		
(?∘≢⊃⊢)Yv	Pick random item from vector	Tacit	Monadic Function		Selection	selectrandom list cell element		
Is(↑,⍥⊂↓)Y	Cutting Y at offset Is	Tacit	Dyadic Function		Structural	headtail splitting divide dividing separate separating first leading remaining index position head of length and tail		
(↑,∘⊂⍤1)Y	Increment rank by inserting a new dimension before the trailing one	Tacit	Monadic Function		Structural	additional dimensions axes axis items elements cells extend shape add ending last	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9W5R0HjUNlHnUceMR11Nj3qXGGoqGCkYK5gAZYBqHP//BwA	
(⊃0⍴⊂∘⊃)Y	Prototype (converts characters to spaces, numbers to zeros)	Tacit	Monadic Function		Array Properties	fillelement padding 0s zeroes blanks falses falsehoods		
(?∘⍴⌷⊢)Y	Index random item from array	Tacit	Monadic Function		Selection	selectrandom cell element		
I(⊣+1⍳⍨↓)B	Index of first one after index Is in Bv	Tacit	Dyadic Function		Index Generation	1st		
(⊢!⍨0,⍳)Js	Coefficients of the binomial (exact, fastest below 10)	Tacit	Monadic Function		Mathematical	binomial combinations choose		
(⍳∘≢,⊢)Ym	Attach row numbers to a matrix	Tacit	Monadic Function		Index Generation	labels table		
I(~∊⍨∘⍳)Jv	Boolean array of shape Jv with zeros in locations Iv	Tacit	Dyadic Function		Boolean/Logical	zeroes 0s falses falsehoods list binary base-2 base2 vector length		
Iv(⍸⍤⊣⊆⊢)Y	Cut Yv into non-empty partitions of length Iv (+/Iv ↔ ⍴Y)	Tacit	Dyadic Function		Structural	cutting partition partitioning chopping splitting separate separating chunks chunking segments segmenting		
X(6=⍳+3×⍸)Y	Is Y within the range ( 1⌷X , 2⌷X )	Tacit	Dyadic Function		Comparison	testif <Y< <X< tao totalarrayordering interval inrange? exclusive	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYwVNMxsH/Vu1jY@PP1R7w5NBQMu3HKGeOSM8MgZ45Ez@f8fAA	
(⍸1=⊢∨⍳)Js	Totatives of Js	Tacit	Monadic Function		Mathematical	phi(n) φ(n) ϕ(n)		
X(6≠⍳+3×⍸)Y	Is Y outside the range ( 1⌷X , 2⌷X )	Tacit	Dyadic Function		Comparison	testif ≥Y≥ ≥X≥ tao totalarrayordering interval outsiderange? exclusive	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYwVNMwedS541LtZ2/jw9Ee9OzQVDLjwyRrilTXCK2uMV9bk/38A	
(∪⊢∨¯1↓⍳)Js	Proper divisors of Js	Tacit	Monadic Function		Mathematical	factorisation factorization		
(⍳⍨∪⍳⊢)Y	Index of first instance of each major cell	Tacit	Monadic Function		Sets	items elements indicesof location 1st		
(×∘*⍨⍣¯1)N	Main branch of the Lambert W function (N≥-*¯1)	Tacit	Monadic Function		Mathematical	𝑊₀(x) W₀(x) 𝑊₀() W₀() omegafunction productlogaritm Ω-function Ωfunction Ωconstant Ω-constant omegaconstant	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0Dk9/1DFD61Hvike9iw@tN9RUMFAwVNDQAjKAhDaYNjq8HSivdXi7keb//wA	
Is(⊃∘⍋⌷⊢)Y	Is-smallest (default: the smallest) major cell of Y	Tacit	Monadic Function		Selection	leastof minimum lexicographically item element	https://tio.run/##SyzI0U2pTMzJT///Py8xN7VY4VHbBAV1p/wkdQV1l8Q8IOmcmAMkHZNS1bke9U0FSRspaDzqan7UMeNRb/ejnu2PuhZpKoA1wxTgkP7/HwA	
(⊂∘⍋⌷⊢)Y	Sort Ascending	Tacit	Monadic Function		Selection	sort() up increasing sorting reordering ordering		
(⍳∘≢≡⍋)N	Is N Non-decreasing?	Tacit	Monadic Function		Array Properties	testif ascending? increasing? rising? up ordered? sorted? nondecreasing	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HvVuftQx41HnokedCx/1dmsqGBsqmBgqmFoqGJlxEaPIFLcqI3MFQwsjCwhhYmpp8P8/AA	
(⊢≡∘⍋⍋)Nv	Is Nv a permutation vector?	Tacit	Monadic Function		Array Properties	testif ispermutation? 1…ns		
Is(⊃∘⍒⌷⊢)Y	Is-largest (default: the largest) major cell of Y	Tacit	Monadic Function		Selection	greatestof maximum biggest lexicographically item element	https://tio.run/##SyzI0U2pTMzJT///Py8xN7VY4VHbBAV1p/wkdQV1l8Q8IOmcmAMkHZNS1bke9U0FSRspaDzqan7UMeNR76RHPdsfdS3SVABrhinAIf3/PwA	
(⊂∘⍒⌷⊢)Y	Sort Descending	Tacit	Monadic Function		Selection	sort() down decreasing sorting reordering ordering		
(⍳∘≢≡⍒)N	Is N Non-increasing?	Tacit	Monadic Function		Mathematical	testif descending? falling? down ordered? decreasing? sorted?	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HvVuftQx41HnokedCx/1TtJUMDY0UTA0tVQwMjPlIkKRAh5VRuYGBgqGFkYWEMLE1PL/fwA	
X(∧\∘⌽=)Y	Indicate trailing elements that are equal	Tacit	Dyadic Function		Comparison	show matching onright cells items masking indicating ending		
X(∧\∘⌽≠)Y	Indicate trailing elements that are unequal	Tacit	Dyadic Function		Comparison	show different onright cells items masking indicating ending		
(+\¯1↓1∘,)Jv	Starting positions of subvectors having lengths Jv	Tacit	Monadic Function		Index Generation	sub-vectors sub-lists sublists		
(↑¨⊂[1])Ym	Convert table to inverted table (character data as matrices)	Tacit	Monadic Function		Structural	matrix tables transforming transformation change changing into inverting inversion	https://tio.run/##SyzI0U2pTMzJT/@vnpJZXJCTWKn@qG@qc6R6Slpesfp/IPtR2wQFqJTCo66maMNYBSMF40e9W9Qdk9QVDBXMFdSdU1LT1EGi//8DAA	
(⊢⍉⍨1*⍴)Y	Main diagonal of any rank array	Tacit	Monadic Function		Selection	maindiagonal nwse nw-se majordiagonal		
(⌽⍉⍨1*⍴)Y	Anti-diagonal of any rank array	Tacit	Monadic Function		Selection	minordiagonal antidiagonal nesw ne-sw		
X(⍸⍷⍨∘⊂)Y	Positions of item Y in X	Tacit	Dyadic Function		Index Generation	indicesin indicesof subarray sub-array subsequence sub-sequence cell element		
Mv(×÷+.×)Nv	Bayes' formula	Tacit	Dyadic Function		Mathematical	Bayesformula statistical statistics probability probabilities		
(1.8÷⍨¯32∘+)N	Fahrenheit to Celsius	Tacit	Monadic Function		Data Conversion	°Fahrenheit °Celsius c2f() ctof() converting change changing		
(⊃+.=⊢)Dv	Number of segments in delimited string Dv where the first character is the delimiter ≢ ⍴	Tacit	Monadic Function		Text	segmented string SSSHAPE SSTALLY separated separator count		
Ms(⊢⊥⍨1+⊣)N	Future value of cash flows N at interest Ms	Tacit	Dyadic Function		Mathematical			
(1+⍴⊥¯1∘+)Jm	Conversion of indices Jm of array to indices of ravelled array	Tacit	Monadic Function		Index Generation	raveled converting change changing		
2∘(+⌿⊥⍣¯1)J	Hamming weight	Tacit	Monadic Function		Mathematical	population popcount sideways summation count() bitcount() cardinality() popcnt() bitsum() pcnt() ones 1s trues truths		
(|¯11|1⊥+\)Jv	ISBN check digit generator from ten first digits Jv	Tacit	Monadic Function		Mathematical	InternationalStandardBookNumber correct validate 1st		
(2⊥1⊖2⊥⍣¯1⊢)Js	Survivor number in the Josephus problem of order Js	Tacit	Monadic Function		Mathematical	flavius winnner remaining person surviving winning permutation		
(××0 60 60⊤3600×|)Ns	Convert decimal degrees/hours to hours,minutes,seconds	Tacit	Monadic Function	Data Conversion		dms hms hrs hs degs arcminutes arcseconds amins asecs represent split combined ∘'" °′″ coordinates location position	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0Dk8/PN1AwQyEHnUtMTYzMDg8vUZTwVDPyPT/fwA	
Iv(⊢⊤⍨10*⊣)J	Decoding numeric codes J packed with field widths Iv (ZYYYZZZ:1 3 2)	Tacit	Dyadic Function		Data Conversion	unpack converting change changing		
(⌹≡⍉∘+)Nm	Is Nm a Unitary matrix?	Tacit	Monadic Function		Mathematical	testif Unitary?		
(11=∘⎕DR 2∘⌿)Y	Is Y Boolean?	Tacit	Monadic Function		Array Properties	testif binary base-2 base2		
(10⊥¯1+⎕D∘⍳)Dv	Safe conversion of string into integer	Tacit	Monadic Function		Data Conversion	eval() evaluate atoi() execute secure number converting change changing text		
(⊃∘⊃⎕NINFO⍠1)Dv	Get actual lettercase for filename Dv (on insensitive OSs)	Tacit	Monadic Function		System	report extract real true letter-case lettercasing letter-casing of file-name case-insensitive caseinsensitive Windows MacOS case-preserving casepreserving stored spelling		
(¯1∘⎕C=1∘⎕C)D	Do characters in D have no case?	Tacit	Monadic Function		Text	no-case? case-less? caseless? neutral? string		
(⊢⎕NS⎕EX⊢⍎)Dv	Make unnamed namespace Dv into named namespace	Tacit	Monadic Function		System	give		
(⍳∘' '⍤1)D	Indices of first blanks in rows of array D	Tacit	Monadic Function		Index Generation	1st spaces row-wise rowwise text horizontally string		
({⍞}¨⍳)Jv	Input of ×/Jv strings	Tacit	Monadic Function		Expression	multi characterinput rawinput stdin		
X⌷⍨∘⊂∘⍋∘⍋Y	Reorder X according to the order of Y	Tacit	Dyadic Function		Mathematical	meshing sorting reordering ordering		
(⌊⊢+1≤2|⊢)N	Rounding to nearest even integer (favouring up)	Tacit	Monadic Function		Mathematical	precision favoring whole number favoring		
M(⊢+⊣×0=⊢)N	Replacing zeroes in N with corresponding elements of M	Tacit	Dyadic Function		Structural	substitute merge amend replace update 0s zeros cells items falses falsehoods		
Is(⊢+⊣×0=⊢)J	Change all 0s in J into Is	Tacit	Dyadic Function		Mathematical	replace zeros zeroes amend	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMDRQ0HnUt0n7UtfjwdANbIFNTwVjBUMFAwUjBHEgaANlm//8DAA	
(⊢⍴⍨1⌈¯2↑⍴)Yv	Reshaping non-empty lower-rank array Yv into a matrix	Tacit	Monadic Function		Structural	table		
M(○××3÷⍨⊢)N	Volume of cone with height M and radius N	Tacit	Dyadic Function		Circular/Trigonometric	lengths		
I(⊣*⍨1+÷⍨)N	Effective rate of interest with nominal rate N for I periods	Tacit	Dyadic Function		Mathematical			
As○⍨∘(¯10+~)⍨N	Mirror complex N across x-axis if As	Tacit	Dyadic Function		Circular/Trigonometric	conjugate negateimaginary mirroring reflecting reflection		
(-∘≢↑¯1∘↓)Y	Shifting Y right/down one position (padding on left/top)	Tacit	Dyadic Function		Selection	leftshift list vector 1		
M(×∘×⍨∘|)N	Resign: Transfer of sign from M to N	Tacit	Dyadic Function		Mathematical	signum		
(⊢÷⌈⌿∘|)N	Normalisation by Infinity-norm	Tacit	Monadic Function		Mathematical	L∞-normalise L∞-normalize L∞-normalization L-∞	https://tio.run/##ASoA1f9hcGwtZHlhbG9n///ijpXihpAgKOKKosO34oyI4oy/4oiYfCkgMyA0//8	
(×⌿*∘÷≢)N	Geometric mean	Tacit	Monadic Function		Mathematical	average GM() G() geometricmean		
(100×⊢÷⍤1 0+/)N	Row-wise percentage per row	Tacit	Monadic Function		Mathematical	% horizontally rowwise		
(100×⊢÷⍤1+⌿)N	Column-wise percentage per column	Tacit	Monadic Function		Mathematical	% vertically columnwise		
X f@(1↑⍨∘-≢)Y	Apply function f (optionally with left argument X) to last cell of Y	Tacit	Ambivalent Monadic Function, Dyadic Function	Monadic Operator	Function Application	onlast item element		
(2 2⍴2 1 1 2-@2⍤○⊢)Ns	Rotation matrix for angle Ns (in radians) counter-clockwise	Tacit	Monadic Function		Mathematical	table		
(⊢⍴⍨¯2↑1 1,⍴)Ym	Increase rank scalar/vector/matrix Ym to 2 (matrix: 1-row if vector, 1-column if scalar)	Tacit	Monadic Function		Structural	number of dimensions pad 2D axes matrify matricise matricize make	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9W5RgDI1HnUtAnIf9a44tN7oUdtEQwVDHSBfU0E9UZ2LJOVJySRpMFIwBtIgbSmpaer//wMA	
(2∘⍴⍴1,⍴∘0)Jv	Diagonal matrix of size Jv (n or m,n)	Tacit	Monadic Function		Mathematical	mono-diagonal banded	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtEzSMHnXMeNS7BYgMdUB0xwwDTQXj//8B	
(,⍨⍴0,⍴∘1)Js	Non-diagonal matrix of order Js	Tacit	Monadic Function		Mathematical	nondiagonal table		
Is(⊃>⍥|⌽,)Js	Choose the number closer to zero (the left one if tied)	Tacit	Dyadic Function		Selection	pick closest to 0 smallest least lowest magnitude absolute value		
(↑∘,∘⊂⍤¯1)Y	Increment rank by inserting a new dimension after the leading one	Tacit	Monadic Function		Structural	additional dimensions axes axis items elements cells extend shape add beginning first 1st	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9W5R0HjUNvFRxwwdIH7U1fSod8mh9YaaCkYKxgomQGmgQsf//wE	
Iv(⌷⍨∘⊃⍨⍤0 99)Y	Select: each element of Iv selects a cell from Y	Tacit	Dyadic Function		Selection	rightshoeunderbar saneindexing ⊇ items elements theindexer		
X(⊢∘≢≥⍳⍨)Y	Membership (∊) on major cells for any rank	Tacit	Dyadic Function		Sets	isin containedin has memberof higher high-rank any-rank highrank anyrank items elements		
(+/1=⊢∨⍳)Js	Euler's totient function (fastest up to about 1000)	Tacit	Monadic Function		Mathematical	phi(n) φ(n) ϕ(n)	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0tPUNbR91LXrUseJR72ZNBUMDA4P//wE	
(⍳∘≢↑¨⊂)Y	Prefixes	Tacit	Monadic Function		Structural	array matrix table	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HvVuftQx41HnokdtEw@teNTVpKmg7ujk7KLOhUfFo95VEEX//wMA	
(⍳⍨=⍳∘≢)Y	Indicator of first occurrence of each unique major cell of Y	Tacit	Monadic Function		Comparison	item element 1st		
M(⊢×∘~∊⍨)N	Zeroing elements of N that are found in M	Tacit	Dyadic Function		Sets	arein membersof 0ing cells items		
Xv(~⍤∊⍨⊆⊢)Yv	Split Yv at occurrences of sequences of elements in Xv (removes separators and empty segments)	Tacit	Dyadic Function		Text	cut chop divide linebreaks newlines spaces carriagereturns crnl crlf linefeeds vec2vtv separate separators chunk list dividing segments partitions by delimiters delimited string		
Xv(∧/∊⍨,∊)Yv	Identity of two sets	Tacit	Dyadic Function		Sets	equivalence		
(¯2-/∘⍸,∘1)Bv	Changing starting indicators Bv of subvectors to lengths	Tacit	Monadic Function		Boolean/Logical	partitions change converting conversion segments		
(¯2-/∘⍸1∘,)Iv	Segment lengths from ending indices	Tacit	Monadic Function		Data Conversion	chunk trailing converting change changing segments partitions		
(2÷⍨⍳+⍸)⍨Nv	Assign ranking based on non-descending scores Nv (ties all get average ranking of used slots)	Tacit	Monadic Function		Mathematical	places place-values positions shared allotted allocation allocate ranks	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0jA5vf9S74lHvZu1HvTs0gUwFYzA0VbAAQiPD//8B	
X(⊃∘⍸∘~∊)Y	Position of first item in X not in Y	Tacit	Dyadic Function		Index Generation	cell element 1st		
X(1=4 9⍸⍳+3×⍸)Y	Is Y within the range [ 1⌷X , 2⌷X ]	Tacit	Dyadic Function		Comparison	testif ≤Y≤ ≤X≤ tao totalarrayordering interval inrange? inclusive	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYwVNAxtTRQsH/XueNS7Wdv48HQgS1PBgIuQCkOCKowIqjAmqMLk/38A	
X(1=6 9⍸⍳+3×⍸)Y	Is Y within the range ( 1⌷X , 2⌷X ]	Tacit	Dyadic Function		Comparison	testif <Y≤ <X≤ tao totalarrayordering interval inrange?	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYwVNAxtzRQsH/XueNS7Wdv48HQgS1PBgIuQCkOCKowIqjAmqMLk/38A	
X(1≠4 9⍸⍳+3×⍸)Y	Is Y outside the range [ 1⌷X , 2⌷X ]	Tacit	Dyadic Function		Comparison	testif >Y> >X> tao totalarrayordering interval outsiderange? inclusive	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYwVNAwfdS4wUbB81LvjUe9mbePD04EsTQUDLsJqDIlQY0SEGmMi1Jj8/w8A	
X(1≠6 9⍸⍳+3×⍸)Y	Is Y outside the range ( 1⌷X , 2⌷X ]	Tacit	Dyadic Function		Comparison	testif ≥Y> ≥X> tao totalarrayordering interval outsiderange?	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYwVNAwfdS4wU7B81LvjUe9mbePD04EsTQUDLsJqDIlQY0SEGmMi1Jj8/w8A	
(1=≢∘∪∘,)Y	Are all elements of simple Y equal?	Tacit	Monadic Function		Comparison	testif allsame allmatch? cells items allidentical allequal	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0DG0fdS561DHjUccqIKmjqWCkYPyod4t6ojoXQSVJ6v//AwA	
(≢∘∪⊢∨⍳)Js	Number-of-divisors of Js	Tacit	Monadic Function		Mathematical	sigma_0(n) tau(n) sigma0 σ₀(n) d(n) ν(n) τ(n) oeisA000005 oeisA5		
Is(⍋×∘⍋∘⍋)Y	Choosing grading direction (¯1,0,1) dynamically during execution	Tacit	Dyadic Function		Mathematical	sorting ascending descending grade		
Iv(+\⍤⊢∊⊣)Bv	Mask to get subvectors with indices Iv as indicated by Bv	Tacit	Dyadic Function		Selection	sub-vectors masking indicating bitmask bit-mask		
(+\+\∘⍳)Js	First Js figurate numbers	Tacit	Monadic Function		Mathematical	1st		
(∧⌿⊢=⌈⍀)N	Are columns of N in ascending order?	Tacit	Monadic Function		Comparison	testif vertical raising? sorted? growing?		
(∧⌿⊢=⌊⍀)N	Are columns of N in descending order?	Tacit	Monadic Function		Comparison	testif vertical falling? sorted? shrinking?		
(+⍀1⍪2≢⌿⊢)Y	Increment on change: Array of same shape as Y beginning with 1 and increasing for each change in adjacent values	Tacit	Monadic Function		Comparison	incrementing changing neighbouring neighboring elements items cumulative group enumerate enumeration	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0tB/1Nhg@6l1l9Khz0aOe/Y@6FmkqqPtmFheDUEFBpvr//wA	
Bs(⊢⍉⍨1 2⌽⍨⊣)Ym	Transpose matrix Ym on condition Bs	Tacit	Dyadic Function		Structural	conditional table		
Xs(,∘⌽∘⍉⍣4)Ym	Surround matrix Ym with scalar Xs	Tacit	Dyadic Function		Structural	adding boxing frame framing padding layer all-around wrapper package packaging table		
X(1⍳⍨⊃⍤¯1⍤⍷)Y	Index of first consecutive occurrence of major cells of X in Y	Tacit	Dyadic Function		Index Generation	indexin indexof find locate positionof subarray sub-array locating items elements location 1st		
(Bv∊⍨⊢∘⊂⌺3 3)Bm	Conway's Game of Life: next generation given Bv of 140 surviving 3-by-3 subarrays	Tacit	Monadic Function		Mathematical	gol conways cellularautomaton sub-array		
(∘.!⍨0,⍳)Js	Binomial coefficients until Js	Tacit	Monadic Function		Mathematical	pascal'striangle numberofcombinations pascalstriangle		
Xv(∊∧.∧∊⍨)Yv	Set Identity (are the sets identical?)	Tacit	Monadic Function		Sets	testif setequivalence sets? equivalent?		
(+/÷1⌈0⊥⍴)N	Row averages (0 if none)	Tacit	Monadic Function		Mathematical	arithmeticmean		
Is(+⌿⊥⍣¯1)⍣≡J	Base-Is digital root	Tacit	Dyadic Function		Mathematical	sum		
Mv(+.×÷1⊥⊣)Nm	Weighted average of columns of Nm with weights Mv	Tacit	Dyadic Function		Mathematical			
Mv(⊢⌹1,∘⍪⊣)Nv	Coefficients of least squares linear fit given X values Mv and Y values Nv	Tacit	Dyadic Function		Mathematical	best fitting regression model y=a+bx y=ax+b		
(⊃∘⎕NGET 1,⍨⊂)Dv	Read Unicode text file Dv content as nested vector	Tacit	Monadic Function		System	native files fetch load ascii ansi Windows-1252 UTF-8 UTF-16LE UTF-16BE UTF-32LE UTF-32LE vtv lines strings string	https://tio.run/##SyzI0U2pTMzJT///X@NRV5O6R2pOTr66gnp4flFOirrmo76pfgGhIQrquZVpmTmpeiUVJepcQMFHbRMUgOqbH3XMAClxdw1RMNR51LsCaIQmiuL//wE	
(∧/127≥⎕UCS∘∊)D	Is D entirely ASCII-only	Tacit	Monadic Function		Text	plain exclusively string		
(42∘⎕ATX∊3.1 4.1⍨)Dv	Is Dv a tradfn/tradop?	Tacit	Monadic Function		System	are traditional tradfn? tradfns? tradops?		
(42∘⎕ATX∊3.2 4.2⍨)Dv	Is Dv a dfn/dop?	Tacit	Monadic Function		System	are direct? dynamic? functions? dfn? dfns? dops?		
(42∘⎕ATX∊3.3 4.3⍨)Dv	Is Dv tacit?	Tacit	Monadic Function		System	are derived derv? dervs? tacits? primitive? primitives? functions? train? trains?		
(42∘⎕ATX∊9.4 9.6⍨)Dv	Is Dv a class?	Tacit	Monadic Function		System	are classes?		
(42∘⎕ATX∊9.5 9.7⍨)Dv	Is Dv an interface?	Tacit	Monadic Function		System	are interfaces?		
{⍵.##}⍣≡Y	Reference to root ancestor namespaces of objects Y	Tacit	Monadic Function		System	parents ancestors ancestry containers		
(¯97(|-⊣)⊢)Is	SWIFT check digit from Is bank number	Tacit	Monadic Function		Mathematical	correct validate		
(∧/' '∘=)D	Mask for blank rows	Tacit	Monadic Function		Boolean/Logical	spaces empty filter indicate masking indicating blanks bitmask bit-mask		
(∧⌿' '∘=)D	Mask for blank columns	Tacit	Monadic Function		Boolean/Logical	spaces empty filter indicate masking indicating blanks bitmask bit-mask		
((,÷∨)∘1)Ns	Convert fraction to (numerator,denominator)	Tacit	Monadic Function		Mathematical	rationalnumber simplefraction commonfraction vulgarfraction Conversion converting change changing		
(∨\' '∘≠)D	Locate leading blanks	Tacit	Monadic Function		Boolean/Logical	spaces beginning mask indicate indications start bitmask bit-mask		
Is{¯2-/[⍺]⍵}N	Differences of successive elements of N along direction Is	Tacit	Dyadic Function		Mathematical	deltas changes steps cells items		
Is{,[⍳⍺]⍵}Y	Merge the leading Is axes of Y	Tacit	Monadic Function		Structural	laminate ravel combine dimensions melt fuse join along leading axis	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQSFUCkkYKxgsmj3i2PejcbmXBBpYB8hURkjqFCtU40UMmj3l2xj3q31qLKGuGVNcaQ/f8fAA	
(∨/'  '∘⍷)D	Does D have any duplicated spaces? (per row)	Tacit	Monadic Function		Text	testif repeated blanks? double multiple line string		
(+.≠∘' ')D	Word lengths of words in list D	Tacit	Monadic Function		Text	vector string		
(⊥⍨' '=⌽)Dv	Number of leading blanks	Tacit	Monadic Function		Text	prefixspaces spaces start beginning string		
(⊥⍨' '∘=)Dv	Number of trailing blanks	Tacit	Monadic Function		Text	suffixspaces spaces ending string		
((⊃2⊃⎕VFI)⍤1)D	Conversion of each row to a number (default zero)	Tacit	Monadic Function		Data Conversion	text characters numbers eval() evaluate execute atoi() secure safe converting change changing string		
((⎕EM⍳32767)⍳⊆)D	Error/interrupt number(s) for message(s) D	Tacit	Monadic Function		Error Message	text errors messages ⎕EM⍣¯1 inverse string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtEzQ0gLSr76PezcZG5mbmmkDGo642TQV1Tz8X1wgF16Ag/yB1BfUwR59QVzjP0y8EyAwNCAGyQzx9Xf1DQ9T//wcA	
X⊃∘⍸∘⍷¨∘⊂⍨Y	Indices (⍳) in X of items of Y	Tacit	Dyadic Function		Index Generation	elements cells lookup indexof each		
Ms(+÷××⊣!+)Ns	Beta function	Tacit	Dyadic Function		Mathematical	B(x,y) Β(x,y) B() Β() beta() Ꞵ		
Ms(⊢+¯11○⊣×9○⊢)N	Skew N in y-axis by fraction Ms	Tacit	Dyadic Function		Mathematical	oblique		
(⌊1+10⍟|+0∘=)J	Number of digits in integers in J	Tacit	Monadic Function		Mathematical	needed positions width representation	https://tio.run/##ATgAx/9hcGwtZHlhbG9n///ijpXihpAgKOKMijErMTDijZ98KzDiiJg9KSAxNjE4IDAgwq8yNzE4Mjj//w	
Is(×⍴1↑⍨∘-⊢)Js	Ending points for Is fields of width Js	Tacit	Dyadic Function		Boolean/Logical	vector list trailing segments partitions		
M(⊣+|⍨∘-⍨)N	Residue after dividing N by M but replacing 0 with M	Tacit	Dyadic Function		Mathematical	modulo modulus divisionremainder 12hourclock divide		
M(⊢∘××+∘|)N	Increasing absolute value without change of sign	Tacit	Dyadic Function		Mathematical	adjust decrease magnitude preserve signum direction remove changing converting conversion removing erasing erase eliminate eliminating delete deleting		
(3÷⍨2∘*-¯1∘*)Js	Jacobsthal number	Tacit	Monadic Function		Mathematical	sequence Ernst J(n) A001045() A1045()		
(+/∘|2-/⊢)Nv	Length of path given as complex points	Tacit	Monadic Function		Mathematical	linelength perimeter coordinates vertices		
Is(-⍤⊣↑1⍴⍨⊢)Js	Suffix Vector: length Is with Js ones on the right, the rest zeroes	Tacit	Dyadic Function		Boolean/Logical	1s 0s zeros Is⍵Js falses falsehoods trues truths		
(,⍨⍴1↑⍨1∘+)Js	Identity matrix of order Js	Tacit	Monadic Function		Mathematical	unitmatrix table		
(⌈/-⌊/)∘,N	Range (difference between largest and smallest element) in N	Tacit	Monadic Function		Mathematical	span minmaxmin extremes of		
Iv(↑⍪↑⍨∘-⍨)Y	Take first and last Iv items along leading axes of Y	Tacit	Dyadic Function		Selection	taking remove trim cut major cells rows elements dimensions delete start beginning ending head tail infix removing erasing erase eliminate eliminating deleting	https://tio.run/##SyzI0U2pTMzJT///PzexROFR2wQFQ0MF00e9Wx71bjY15XrUNxUsaKTxqG3io95VYHLFo44ZukBKE6jl/38A	
Ms(⊢⊃⍨2+∘×⊣)Yv	Picking one of three values according to sign of Ms	Tacit	Dyadic Function		Selection	Choosing choose signum		
Xs(1↓¨,⊂⍨1,=)Yv	Split Yv (which has to be simple) at occurrences of Xs (removes separators and keeps empty segments)	Tacit	Dyadic Function		Structural	cut chop divide linebreaks newlines spaces carriagereturns crnl crlf linefeeds vec2vtv separate separators chunk list dividing segments partitions by delimiters delimited string text .split() split-on cut-at from to segmented LF newline separated separator delimiter		
(⊢⌽⍨¯1+⍳∘≢)Ym	Align the diagonals of a matrix into columns (with wrap-around)	Tacit	Dyadic Function		Structural	table		
X(⍳|⍨1+∘≢⊣)Y	First indices in X of major cells Y, 0 if not found	Tacit	Dyadic Function		Index Generation	indexin indexof find locate positionof 1st zero locating items elements location missing unfound		
(⌽⌽,0,-)∘⍳Js	Integers from -Js to Js	Tacit	Monadic Function		Mathematical	whole numbers natural symmetric negative positive		
(⍳∘≢,/¨⊂)Yv	All possible subvectors grouped by length (Yv must be simple)	Tacit	Monadic Function		Selection	sub-strings substrings sub-vectors sub-sequences subsequences segmented sub-lists partitioned sublists separated separator delimiter		
(⊢∊⍨∘⍳⌈/)Jv	Conversion of set of indices Jv to a mask	Tacit	Monadic Function		Boolean/Logical	indicate masking indicating bitmask bit-mask converting change changing inverse of ⍸⍣¯1		
X(⍸-⍳≤∘≢⊣)Y	Indices of major cells of Y in right-inclusive intervals with cut-offs X	Tacit	Dyadic Function		Index Generation	left-exclusive intervalindex iotaunderbar bins groups ranges buckets classes classifying classification items elements high-rank (a,b] ]a,b] ⍺<x≤b	https://tio.run/##SyzI0U2pTMzJT///Pzex5FHbBGMFo0e9Wx71bjbjetQ3FSigABRX0HjUu0MXKPioc8mjjhmPOhc96lqsqWCsYEyMIpP//wE	
(+/∘∪⊢∨⍳)Js	Sum of positive divisors of Js	Tacit	Monadic Function		Mathematical	sigma σ(n)	https://tio.run/##ASsA1P9hcGwtZHlhbG9n///ijpXihpAgKCsv4oiY4oiq4oqi4oio4o2zKSAxMv//	
(⊃∘⍋∘|⊃⊢)Nv	First number with smallest magnitude	Tacit	Monadic Function		Mathematical	minimum absolute value closest nearest to 0 zero	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HnU1P@qY8ai3G0jWgDhdizQVjBUOrTdRMPr/HwA	
X(⌷⍨∘⊂∘⍋⍨)Y	Sorting Y according to X	Tacit	Dyadic Function		Mathematical	ordering		
X≡⍥(⊂∘⍋⌷⊢)Y	Are X and Y permutations of each other?	Tacit	Dyadic Function		Comparison	testif anagrams? isanagram? isanagramof? ispermutation? ispermutationof? permutationsof? permutations?		
(⍳∘≢≡⌽∘⍋)N	Is N Strictly Decreasing?	Tacit	Monadic Function		Mathematical	testif descending? falling? down ordered? sorted?	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HvVuftQx41HnokedCx/17AWxe7s1FYwNTRQMTS0VjMxMuYhWqkBQrZG5gYGCoYWRBYQwMbX8/x8A	
(⊃∘⍒∘|⊃⊢)Nv	First number with largest magnitude	Tacit	Monadic Function		Mathematical	maximum absolute value biggest farthest furthest away from 0 zero	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HnU1P@qY8ah3EpCsAXG6FmkqGCscWm@iYPT/PwA	
(⍳∘≢≡⌽∘⍒)N	Is N Strictly Increasing?	Tacit	Monadic Function		Mathematical	testif ascending? rising? up ordered? sorted?	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HvVuftQx41HnokedCx/17AWxeydpKhgbKpgYKphaKhiZcRGv1JSQWiNzBUMLIwsIYWJqafD/PwA	
(⍉∘↑⊂⍤¯1¨)Yv-	Convert inverted table to table (character data as matrices; keep trailing spaces)	Tacit	Monadic Function		Structural	matrix tables transforming transformation change changing into un-inverting un-inversion un-vertion unverting unversion unvertion	https://tio.run/##SyzI0U2pTMzJT/@vnpJZXJCTWKn@qG@qc6R6Slpesfp/IPtR2wQFqJSCxqPezkcdMx61TXzU1fSod8mh9YaHVmgqaBgpmDzq3aLumKSg4JySmqYOFDJUMAKS5grGmv//AwA	
X(⊃∘⍸⍷⍨∘⊂)Y	Position of first item Y in X	Tacit	Dyadic Function		Index Generation	indicesin indicesof cell element 1st		
(2×⊢+.×1∘⌽)Nv	Area of box with sides Nv	Tacit	Monadic Function		Mathematical	block edge lengths		
(××∘⌈¯0.5+|)N	Rounding to nearest whole number (favouring towards 0)	Tacit	Monadic Function		Mathematical	precision favoring integer round()		
(××∘⌊0.5+|)N	Rounding to nearest whole number (favouring away from 0)	Tacit	Monadic Function		Mathematical	precision favoring integer round()		
(=∘⌊⍨*∘0.5)N	Indicate which numbers in N are perfect squares.	Tacit	Monadic Function		Mathematical	square? squares? perfect integers	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0bB91zHjU0/Wod4UWkGWgZ6qpYKhgpGCsYKJgqmCmYK5goWCpYGjw/z8A	
(⌊/∘.=⌈⌿)Nm	Boolean matrix indicating saddle points	Tacit	Monadic Function		Mathematical	minimax indicate masking table binary base-2 base2		
(2=0+.=⍳|⊢)Ns	Is Ns a prime?	Tacit	Monadic Function		Mathematical	testif isprime primality	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0jGwNtPVsH/VurnnUtUhTwYwLh4Q5LgkLXBKWuCQMDXDKGP7/DwA	
(÷⍳∘.+¯1+⍳)Js	Hilbert matrix of order Js	Tacit	Monadic Function		Mathematical	table sorting reordering ordering		
(1 2 1⍉⊢∘.-⌊/)Nm	Move set of points Nm into first quadrant	Tacit	Monadic Function		Mathematical	1st		
(0≠.=400 100 4∘.|⊢)J	Is J (YYYY) a leap year?	Tacit	Monadic Function		Mathematical	testif gregoriancalendar 29thfeb29 29february29th		
(1⊥∘|-)⍤1⍤1 99⍨Nm	Manhattan distance table for points in N-space (one point per row)	Tacit	Monadic Function		Mathematical	taxicab L1 L-1 L1-distance ℓ1 ℓ-1 ℓ₁ L¹ d() matrix	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0DB91LX3UMaNGV/NR7xJDEFawtHzUu0IBqsBEwehR7xYDBRA0BEIw@f8/AA	
Mv(+.×⍨÷1⊥⊣)Nm	Weighted average of rows of Nm with weights Mv	Tacit	Dyadic Function		Mathematical			
Iv(,⌿1+⊢⊤¯1+⊣)Jv	Indices of Iv'th elements in ravel order of an array of dimensions Jv	Tacit	Dyadic Function		Index Generation	ravelorderindex cells items axes		
Iv Jv⍕⍨∘(∊,⍤0/)N	Formatting N with Jv decimals in fields of width Iv	Tacit	Dyadic Function		Text	widths string		
(+/2 1∘⊃∘⎕VFI⍤1)Dm	Sum of numbers in character matrix Dm	Tacit	Monadic Function		Data Conversion	table converting change changing		
M(1-×⍥(1∘-))N	Probabilistic OR	Tacit	Dyadic Function		Mathematical	fuzzy probability chance disjunction vel alternation Apq		
(⍋(≢,⊂)¨)Yv	Ascending shortlex grade	Tacit	Monadic Function		Mathematical	radix length-lexicographic lengthlexicographic military genealogical		
(⍒(≢,⊂)¨)Yv	Descending shortlex grade	Tacit	Monadic Function		Mathematical	radix length-lexicographic lengthlexicographic military genealogical ordering sorting		
(,[0.5]∘'¯')Dv	Underlines a string (1=⎕IO)	Tacit	Monadic Function		Text	underscore		
Iv{1+⍺∘⊥¨⍵-1}Jv	Ravel order indices of elements at indices Jv in an array of dimensions Jv	Tacit	Dyadic Function		Index Generation	ravelorderindex axes		
(↑⍴¨∘'⎕')J	Bar chart	Tacit	Monadic Function		Mathematical	curve graph plotting	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HrVNfNS75dCKRx0z1IFi6poKxgqGCiZAbPr/PwA	
Cv(⊣,(⎕UCS 10),⊢)Dv	Join lines with line feed (LF)	Tacit	Dyadic Function		Text	combine glue linefeed newline 0x0A U+0A U+000A string		
(⊢2⎕NQ#'GetBuildID',⊂)Dv	Checksum of file Dv	Tacit	Monadic Function		hashing			
(⊢2⎕NQ#'GetEnvironment',⊂)D	Get the value of one or more configuration parameters	Tacit	Monadic Function		System	query envvars cmdline shell call startup values settings registry entries cli environment variables command line		
Xm↑⍤1⍨∘⊃∘⌽∘⍴⍨Ym	Widening matrix Ym to be compatible with Xm	Tacit	Dyadic Function		Structural	adjust width table		
M(¯1+⊣*∘÷⍨1+⊢)N	Annual rate to modal rate	Tacit	Dyadic Function		Mathematical			
Is(×∘×⍨∘≢↑↓)Y	Shifting Y Is positions forward/left/up (if Is is positive, padding on right/bottom) or backward/right/down (if Is is negative, padding on left/top)	Tacit	Dyadic Function		Boolean/Logical	leftshift rightshift bits bytes bitshift		
(+/∘|⊢-1∘⌽)Nv	Circumference of polygon given as complex points	Tacit	Monadic Function		Mathematical	linelength coordinates vertices		
(⌽⍤⍴⍴1↑⍨1+≢)Nm	Identity matrix of shape of matrix Nm	Tacit	Monadic Function		Mathematical	diagonal table ident() id() I()		
(⊢⍴⍨2,⍨2÷⍨≢)Yv	Reshaping vector Yv into a two-column matrix	Tacit	Monadic Function		Structural	2-column table list		
Is(⊢↑⍨⊢∘≢,⊣)Ym	Adjust Ym to width Is (positive Is to pad/chop on right, negative Is to pad/chop on left)	Tacit	Dyadic Function		Structural	fill limit		
X(⊢∘-∘≢↑⍪⍨)Y	Shift after: Appending X at back/right/bottom of Y, pushing corresponding cells off the front/left/top edge	Tacit	Dyadic function		Strurctural	« pushing		
(1/⍨∘,1,∘⍪-)Nv	Boolean gaps of lengths Nv after each one	Tacit	Monadic Function		Boolean/Logical	runs binary base-2 base2 contiguous		
(⊂⍤?⍨∘≢⌷⊢)Y	Shuffle major cells	Tacit	Monadic Function		Selection	mix randomize randomise list order items elements		
Is(⊣,⊣+∘⍳-⍨)Js	Consecutive integers from Is to Js (Is≤Js)	Tacit	Dyadic Function		Mathematical	arithmetic progression sequence inclusiverange seq() sequence … ... values between		
(+/∘∪⊢∨¯1↓⍳)Js	Aliquot sum (sum of proper divisors)	Tacit	Monadic Function		Mathematical	s(n) divisorsum		
(+/⍒∘|⊃¨⊂)Nv	More accurately sum a vector of floating point numbers	Tacit	Monadic Function		Mathematical	summation of summing floats precisionloss without avoiding accumulation accumulating errors imprecision 64-bit IEEE754-2008 128-bit binaryfloatingpoint list		
(⌽∘,¨,\∘⌽)Yv	Suffixes of a vector	Tacit	Monadic Function		Structural	string text		
(+\∊⍨∘⍳+/)Jv	Changing lengths Jv of subvectors to ending indicators	Tacit	Monadic Function		Boolean/Logical	partitions trailing change converting conversion segments		
Xm(⍉⍴⍨∘⌽∘⍴⍨)Yv	Matrix with shape of Xm and Yv as its columns	Tacit	Monadic Function		Boolean/Logical	fill mold mould table		
(0~⍨∘,∘⍉⊢⌸)Y	Progressive index of (⍳) cyclic uniques (∪) without replacement	Tacit	Monadic Function		Index Generation	dyadiciota indexin indexof meshing cyclically	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQyFUCkhkHdo94Vjzpm6ADxo97OR12LHvXs0FRQT0wqSkxOTAFR6lxQLSiC0Zmx//8DAA	
(2*∘÷⍨+.×⍨)Nv	Length of vector Nv	Tacit	Monadic Function		Mathematical	absolute value magnitude distance from origin 0 zero		
(+/÷1⌈+.≠∘0)N	Row averages of non-zero elements (0 if none)	Tacit	Monadic Function		Mathematical	arithmeticmean nonzero cells items		
M(+/∘×∘.-⍨)N	Test relations (¯2…2) of elements of N to ranges M (2=¯1↑⍴M)	Tacit	Dyadic Function		Comparison	cells items		
(⊢∘.<∘⍳⌈/)Iv	Matrix with Iv[i] leading zeroes on row i	Tacit	Monadic Function		Boolean/Logical	0s zeros falses falsehoods table start beginning		
(⊢∘.≥∘⍳⌈/)Iv	Matrix with Iv[i] leading ones on row i	Tacit	Monadic Function		Boolean/Logical	1st trues truths first table start beginning		
X(⌊¯3+0.6×⍳+3×⍸)Y	Test relations (¯2…2) of major cells Y to range 1⌷X , 2⌷X	Tacit	Dyadic Function		Comparison	tao totalarrayordering interval items elements		
(∨.∧⍨∨⊢)⍣≡Bm	Transitive closure	Tacit	Monadic Function		Boolean/Logical	adjacency list matrix contingency table		
(28+0≠.=400 100 4∘.|⊢)J	Number of days in February of year J (YYYY)	Tacit	Monadic Function		Mathematical	gregoriancalendar feb29 29february29th feb28 28february28th length		
Ms(⊢∘⊂+¯0.5 0.5×⊣)N	Stereo pair (Eye separation Ms)	Tacit	Dyadic Function		Mathematical			
Mv(2*∘÷⍨1⊥2*⍨-)Nv	Euclidean distance between two points in N-space	Tacit	Dyadic Function		Mathematical	L2-distance L-2 ℓ2 ℓ-2 ℓ₂ L² Pythagorean d()	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMoFDDSOtRx4zD2x/1rjB81LUUyOtdoasJlDBWMFEw@P8fAA	
(10⊥∘,∘⍉10∘⊥⍣¯1)Jv	Encode a vector of positive integers as equal-width fields of digits in an integer	Tacit	Monadic Function		Data Representation	serialise serialize serialisation serialization join	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0DA0edS191DFDB4gf9XYCuUAaKNK7@NB6Q00FY0MFQwUjcwWD//8B	
(⊢⎕NS⎕NS∘⍬⊢⎕EX⊢⍎)Dv	Make scripted namespace Dv into unscripted namespace	Tacit	Monadic Function		System	remove text removing erasing erase eliminate eliminating delete deleting string un-scripting de-scripting unscripting descripting		
M((××∘⌊|)÷)N	Truncated division	Tacit	Dyadic Function		Mathematical	integer intdiv() % // divmod() T-division	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQOrTc0UAAiGK2hcXj64emPOmY86umq0Ty8XRMoYwzGQPj/PwA	
(⊢↑⍨¯1+⍳∘' ')Dv	First word in Dv	Tacit	Monadic Function		Text	initial leading leftmost nonspace non-space 1st start beginning string		
('FDCBA'⌷⍨∘⊂0 60 70 80 90∘⍸)J	Students grades given score	Tacit	Monadic Function		Mathematical			
((⊂∘⍋⌷⊢)⍤1)Y	Sort each row in ascending order	Tacit	Monadic Function		Mathematical	up increasing sorting reordering ordering		
((⊂∘⍋⌷⊢)⍤¯1)Y	Sort major cells ascending	Tacit	Monadic Function		Mathematical	elements items sort() up increasing sorting reordering ordering		
((⊂∘⍒⌷⊢)⍤¯1)Y	Sort major cells descending	Tacit	Monadic Function		Mathematical	elements items sort() down decreasing sorting reordering ordering		
X(<\@(=⍨)⍷)Y	Boolean one at first occurrence of X in Y	Tacit	Monadic Function		Sets	findfirstin search locatefirst 1st binary base-2 base2	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTU0xKT1BU0bGIcNGwf9a7QfNS7XVPBWMH0Ue8W9cSk5JTUNPX//wE	
(∧\' '∧.=⊢)Dm	Locate leading blank columns	Tacit	Monadic Function		Boolean/Logical	spaces beginning masking indicate indications allspace all-space start blanks		
(∧\∧.=∘' ')Dm	Locate leading blank rows	Tacit	Monadic Function		Boolean/Logical	spaces beginning masking indicate indications allspace all-space lines start blanks		
(326(=-⍨2|⊢)⎕DR)Y	Type of simple Y (¯1:mixed, 0:character, 1:numeric)	Tacit	Monadic Function		Array Properties			
(↑'⎕'⍴¨⍨⌊)N	Histogram	Tacit	Monadic Function		Structural	chart		
(¯1+(⎕D,⎕A)⍳⊢)D	Translate characters to digits (bases 2 through 36)	Tacit	Monadic Function		Data Conversion	base-2 base2 binary Boolean base16 base-16 hexadecimal base36 base-36 letters 0123456789abcdef converting change changing		
(⊃{2⊃⎕VFI⍞},⊢)Ns	Giving a default value for input of scalar number	Tacit	Monadic Function		Mathematical	prompt fallback		
Cs{⍺←⎕UCS 10 ⋄ ,⍺,⍵}Dm	Matrix to segmented string using Cs or linefeed as delimiter (includes initial delimiter)	Tacit	Ambivalent Monadic Function, Dyadic Function		Structural	vectorise vectorize serialise serialize list table delimited MATtoSS segmented character text separated separator		
'-'@(=∘' ')Y	Replace all blanks with dashes	Tacit	Monadic Function		Text	spaces substitute format string		
((~,∩)∘' ')Dv	Moving all blanks to end of text	Tacit	Monadic Function		Text	spaces trailing ending string	https://tio.run/##SyzI0U2pTMzJT/@vnpJZXJCTWKmu8KhvqnOkgnpKWl6x@n8g51HbBAWopIKGRp3Oo46Vmo86ZqgrqGsqqHukFqUqJKUqFBckJqcC1f8HAA	
X{⊃(⍋-⍒)⍺⍵}Y	General comparison according to Total Array Order (¯1:X precedes Y, 0:X≡Y, 1:X succeeds Y)	Tacit	Dyadic Function		Comparison	cmp() <=> >-< characters nested any array generalised generalized tao spaceship space-ship three-way compare comparing		
(⍕' '@(0∘=))N	Formatting with zero values replaced with blanks	Tacit	Monadic Function		Text	hidden 0s empty cells items elements zeroes zeros spaces falses falsehoods string		
(××∘⌊|+1≤2||)N	Rounding to nearest even number (favouring away from 0)	Tacit	Monadic Function		Mathematical	precision favoring		
(××∘⌊|+1>2||)N	Rounding to nearest odd number (favouring away from 0)	Tacit	Monadic Function		Mathematical	precision favoring	https://tio.run/##ATQAy/9hcGwtZHlhbG9n///ijpXihpAgKMOXw5fiiJjijIp8KzE@Mnx8KSAxLjYgMi43IDMuMf//	
(×ׯ1+2×∘⌈2÷⍨|)N	Rounding to nearest odd number (favouring towards 0)	Tacit	Monadic Function		Mathematical	precision favoring		
(⌊+1∘|>∘?0∘×)N	Stochastic rounding to integer	Tacit	Monadic Function		Mathematical	precision whole number probabilistic		
(×/⊢÷+/-2×⊢)Nv	Aspect ratio of a triangle given its side lengths	Tacit	Monadic Function		Mathematical	AR()		
Iv(⊣⍴⊢⌿⍤⊣⍴⍤1⊢)Ym	Tiling a matrix Ym over a matrix of shape Iv	Tacit	Dyadic Function		Structural	tiling 2d array size sizing reshape reshaping tessellation tesselation tessellating tesselating tessellate tesselate tiles covering rectangles		
Iv(⊢⍴⍨⊣,1↓⊢∘⍴)Y	Reshape as in J (outer shape Iv with inner shape of major cells of Y)	Tacit	Dyadic Function		Structural	Jlanguage $ items elements		
Is(⊢⍴⍨⊣,÷⍨∘≢)Yv	Reshape Yv to Is-row matrix (filled row-wise)	Tacit	Monadic Function		Structural	table horizontally rowwise rows		
Is(⊢⍴⍨÷⍨∘≢,⊣)Yv	Reshape Yv to Is-column matrix (filled row-wise)	Tacit	Monadic Function		Structural	table horizontally rowwise columns		
Xs(⊢⊢⍤/⍨2∨/1,≠)Yv	Remove consecutive duplicate Xs's from vector Yv	Tacit	Dyadic Function		Sets	list removing erasing erase eliminate eliminating delete deleting		
X(↑⊂⍤¯1⍤⊢,⊂⍤⊣)Y	Appending X as additional major cell of Y, adjusting dimensions of both as necessary	Tacit	Dyadic Function		Structural	inserting stack bottom ontop on-top under table list trailing matrix vector expand to matching shapes join merge		
(*∘○0J2×⊢÷⍨1+⍳)Js	Js spokes of unit wheel	Tacit	Monadic Function		Circular/Trigonometric	circle points distributed		
(*∘○0J2×⊢÷⍨0,⍳)Js	Regular unit polygon of Js edges	Tacit	Monadic Function		Circular/Trigonometric	star triangle square pentagon hexagon octagon		
(⍳∘⊃∘⌽∘≢⍪⊢)Ym	Attach column numbers to a matrix	Tacit	Monadic Function		Index Generation	headings table		
Is(⊢⌷⍨∘⊂∘⍋⌷⍤1)Y	Sort Y ascending according to column Is	Tacit	Dyadic Function		Mathematical	sort() major cells rows elements items of array up increasing sorting reordering ordering bycolumn specific		
Xv(⊢⌷⍨∘⊂∘⍋∊⍨)Yv	Move items Xv to end of Yv	Tacit	Dyadic Function		Sets	major cells rows elements trailing ending		
Is(⊢⌷⍨∘⊂∘⍒⌷⍤1)Y	Sort Y descending according to column Is	Tacit	Dyadic Function		Mathematical	sort() major cells rows elements items of array down decreasing sorting reordering ordering bycolumn specific		
(¯1⌽+\∊⍨∘⍳+/)Jv	Changing lengths Jv of subvectors to starting indicators	Tacit	Monadic Function		Boolean/Logical	partitions change converting conversion segments		
(∨\∧∘⌽∨\∘⌽)B	Mask for selecting between first and last 1 on each row	Tacit	Monadic Function		Boolean/Logical	masking trim ones 1st bitmask bit-mask		
(⌊⊢+2÷⍨0.5≠2|⊢)N	Rounding, to nearest even integer for 0.5 = 1||N	Tacit	Monadic Function		Mathematical	precision whole number favoring		
(⌽⊢∘.<∘⍳⌈/)Iv	Matrix with Iv[i] trailing zeroes on row i	Tacit	Monadic Function		Boolean/Logical	1s 0s zeros ones falses falsehoods trues truths table ending		
(⌽⊢∘.≥∘⍳⌈/)Iv	Matrix with Iv[i] trailing ones on row i	Tacit	Monadic Function		Boolean/Logical	1st trues truths first table ending		
(2*∘÷⍨1⊥×⍨÷≢)N	Quadratic mean	Tacit	Monadic Function		Mathematical	Root square rms()		
Ms(⊢∘⌽⊥⍨∘÷1+⊣)Nv	Present value of cash flows Nv at interval Ms	Tacit	Dyadic Function		Mathematical	worth		
(⊢⊥⍨10*∘⌊1+10∘⍟)Jv	Join digits of strictly positive integers into a single integer	Tacit	Monadic Function		Data Representation	serialise serialize serialisation serialization join	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0DA0edS191DHjUUcXkAmkgbzexYfWGx5aoalgbKhgqGBk/v8/AA	
(+⍨<1⊥∘∪⊢∨⍳)Js	Is Js an abundant number?	Tacit	Monadic Function		Mathematical	testif abundant?		
(+⍨=1⊥∘∪⊢∨⍳)Js	Is Js a perfect number?	Tacit	Monadic Function		Mathematical	testif perfect?		
(+⍨>1⊥∘∪⊢∨⍳)Js	Is Js a deficient number?	Tacit	Monadic Function		Mathematical	testif deficient?		
Mv(¯2+1⊥∘.<⍪∘.≤)N	Test relations (¯2…2) of elements of N to range 1⌷Mv , 2⌷Mv	Tacit	Dyadic Function		Comparison	numbers numeric interval items elements		
2∘(⍉⍴⍨⊤¯1+∘⍳*)Js	All binary representations with Js bits (truth table with Js variables, matrix for choosing all subsets)	Tacit	Monadic Function		Boolean/Logical	sub-sets base-2 base2	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMHnXM0HjU2/mod8uj3hWPupYcWm@oDRR71LtZS1PB@P9/AA	
(⍉1+⊢⊤¯1+∘⍳×/)Jv	All tuples of corresponding elements of ⍳¨Jv (for large Jv even above length 15)	Tacit	Monadic Function		Index Generation	⍳Jv odometer indices major cells rows items combinations	https://tio.run/##SyzI0U2pTMzJT/8PBI/6pj5qm6Cg8ai301D7UdeiR11LDq0HsjpmPOrdfHi6vqaCsYKhgsl/AA	
(⎕D⌷⍨∘⊂1+10⊥⍣¯1⍳)Js	Vertical column headings for character matrix of width Js	Tacit	Monadic Function		Text	labels string		
M((+⌿÷≢)2*⍨-)N	Mean squared error	Tacit	Dyadic Function		Mathematical	MSE deviation MSD	https://tio.run/##AToAxf9hcGwtZHlhbG9n///ijpXihpAgMSAyIDMgKCgr4oy/w7fiiaIpMirijagtKSAwLjkgMi4xIDMuMf//	
Is(,(⊣↑1⍴⍨⊢)⍤0)Jv	Expansion mask (left argument for ⍀) for fields of length Jv to uniform field of length |Is	Tacit	Dyadic Function		Structural	expand harmonise harmonize align masking bitmask bit-mask		
((1↓⊢,1↑0∘⍴)⍤1)Y	Rightmost neighbouring elements (padding at edge)	Tacit	Monadic Function		Selection	neighbours neighbors neighboring lefthand bitshift cells items		
((×/⊢-≠)3∘dfns.pco)Js	Euler's totient function (fastest above about 1000)	Tacit	Monadic Function		Mathematical	phi(n) φ(n) ϕ(n)		
((∪∘.=⊢)⍳⍨)Y	Self-classify: table of unique vs all major cells of Y	Tacit	Monadic Function		Sets	⍸⍣¯1⍤⊢⌸ dictionary nubin distinctitems uniqueelemenets matrix items elements		
('-'@5 8∘⍕1000⊥3∘↑)Jv	Date (⎕TS format) to YYYY-MM-DD	Tacit	Monadic Function		Text	SS-ISO8601:2006-09 ISO-8601:2006-09 PN-90/N-01204 GB/T 7408-2005 KS NP EN 28601 CAN/CSA-Z234.4-89 (R2007) DS/ISO-8601:2005 LST string		
(⊃0⎕NINFO⍠1,∘'/*')Dv	List directory Dv (. for current directory)	Tacit	Monadic Function		System	contents ls files directories	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HnU1GwDZeZl5afmPehcY6jzqmKGur6Wuqa5fWlykzkVYnZ76//8A	
((⎕D,⎕A)⌷⍨1+⊂)J	Translate digits to characters (bases 2 through 36)	Tacit	Monadic Function		Data Conversion	base-2 base2 binary Boolean base16 base-16 hexadecimal base36 base-36 letters 0123456789abcdef converting change changing		
('correct',⍨'in'/⍨~)Bs	Conditional in text	Tacit	Monadic Function		Data Conversion	message true false Boolean binary base-2 base2 converting change changing string		
(××2×∘⌈2÷⍨1-⍨|)N	Rounding to nearest even number (favouring towards 0)	Tacit	Monadic Function		Mathematical	precision favoring		
Iv(⊢↑⍨≢⍤⊣↑⌊∘⍴)Y	Take of at most Iv elements from Y	Tacit	Dyadic Function		Selection	limit major cells rows items		
(1,⍨¯1↓2≠⌿⊢↑⍨1+≢)Yv	Ending points of groups of equal elements	Tacit	Monadic Function		Comparison	runs sequences Boolean major cells rows items indicate masking indicating trailing binary base-2 base2 contiguous		
X(1-⍳⍨∘⊖⍨-∘≢⊣)Y	last index of ((⍳): Last indices in X of major cells Y	Tacit	Dyadic Function		Index Generation	lastindexin lastindexof lastposition reverse-iota reverseiota findinglast locatinglast locatelast positionoflast items elements lastlocation searching indexin indexof finding locating locate positionof location	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUHZ2cXUDY1U1dQcNQ91Hv5ke9Kx51zHjUNQ3I0AWxOhc96lqsCVTq7KbOlZtYogDSaKxg9Kh3C1C5GRfUKJAMfhNMFcz@/wcA	
¯1∘(↓×∘⌽∘⍳+∘≢)Nv	Derivative of polynomial with descending coefficients Nv	Tacit	Monadic Function		Mathematical	firstderivative derivate		
(¯2-/∘⍸1,1,⍨2≠/⊢)Yv	Lengths of subvectors of Yv having equal elements	Tacit	Monadic Function		Comparison	runs changes identical consistent cells items contiguous		
(¯1+¯2-/∘⍸1,⍨⊢=⊃)Dv	Segment lengths (excluding delimiters) in delimited string Dv where the first character is the delimiter ≢¨ ⍴¨	Tacit	Monadic Function		Text	segmented string SSLEN separated separator		
X(⊂⍤⍋⍤⌷⍨∘⊂⌷⊢)Jv	Sorting indices Jv according to data X	Tacit	Dyadic Function		Index Generation	permute		
(⊢⍳⍨⌷⍨∘⊂∘⍋⍨)Y	Ascending cardinals numbers (ranking, ties equal)	Tacit	Monadic Function		Index Generation	rising up		
(⊢⍳⍨⌷⍨∘⊂∘⍒⍨)Y	Descending cardinals numbers (ranking, all different)	Tacit	Monadic Function		Index Generation	falling do		
Is(⍉⊢⍴⍨⊣,÷⍨∘≢)Yv	Reshape Yv to Is-column matrix (filled column-wise)	Tacit	Monadic Function		Structural	table vertically columnwise columns		
Is(|∘⍳∘≢⊢∘⊂⌸⊢)Y	Distribute major cells of Y into Is (default Is:≢Y) groups as evenly as possible	Tacit	Dyadic Function		Structural	unzip elements items deal	https://tio.run/##SyzI0U2pTMzJT///PzQvKrNA4VHbBIWaRx0zHvVuBpGdix51LQIxupoe9ewAsrnKEovAitQTk5JTUtPUuR71TQXxDRUgBgDlYUJGmELGmEImmEKmmEJmmELmmEIWmEIKCKH//wE	
(⊢×∘.<⍨∘⍳∘≢)Mm	Extract the upper triangular part of the matrix Mm without main diagonal	Tacit	Monadic Function		Mathematical	zero out lower make strict triangle northeast north east north-east	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HnUtOjz9UccMPZtHvSuA9KPezSCyc5GmgqmC6aPeLUABI9P//wE	
(⊢×∘.≤⍨∘⍳∘≢)Mm	Extract the upper triangular part of the matrix Mm with main diagonal	Tacit	Monadic Function		Mathematical	zero out lower make triangle northeast north east north-east	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HnUtOjz9UccMvUedSx71rgCyHvVuBpGdizQVTBVMH/VuAQoYmf7/DwA	
(⊢×∘.≥⍨∘⍳∘≢)Mm	Extract the lower triangular part of the matrix Mm with main diagonal	Tacit	Monadic Function		Mathematical	zero out upper make triangle southwest south west south-west	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HnUtOjz9UccMvUedSx/1rgCyHvVuBpGdizQVTBVMH/VuAQoYmf7/DwA	
(⊢×∘.>⍨∘⍳∘≢)Mm	Extract the lower triangular part of the matrix Mm without main diagonal	Tacit	Monadic Function		Mathematical	zero out upper make strict triangle southwest south west south-west	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HnUtOjz9UccMPbtHvSuA9KPezSCyc5GmgqmC6aPeLUABI9P//wE	
(⊢≡∘.<⍨∘⍳∘≢)Bm	Is Bm a full upper triangular matrix without diagonal?	Tacit	Monadic Function		Boolean/Logical	testif triangle NE northeast north-east table triangular? remove strict removing erasing erase eliminate eliminating delete deleting	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HnUtetS58FHHDD2bR70rgPSj3s0gsnORpgJUjbGC8aPeLYYKaJCLTCMMoKQBOUYgaQaTBuQYAdcMgf//AwA	
(⊢≡∘.≤⍨∘⍳∘≢)Bm	Is Bm a full upper triangular matrix with diagonal?	Tacit	Monadic Function		Boolean/Logical	testif triangle NE northeast north-east table triangular?	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HnUtetS58FHHDL1HnUse9a4Ash71bgaRnYs0FaCqjBWMH/VuMVRAg1xkG2IAJQ3IMwRJO5g0IM8QuHYI/P8fAA	
(⊢≡∘.≥⍨∘⍳∘≢)Bm	Is Bm a full lower triangular matrix with diagonal?	Tacit	Monadic Function		Boolean/Logical	testif triangle SW southwest south-west table triangular?	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HnUtetS58FHHDL1HnUsf9a4Ash71bgaRnYs0FaCqjBWMH/VuMVRAg1xkGWIAhCDtBuQbYgA1BG4U@YYgGfX/PwA	
(⊢≡∘.>⍨∘⍳∘≢)Bm	Is Bm a full lower triangular matrix without diagonal?	Tacit	Monadic Function		Boolean/Logical	testif triangle SW southwest south-west table triangular? remove strict removing erasing erase eliminate eliminating delete deleting	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HnUtetS58FHHDD27R70rgPSj3s0gsnORpgJUjbGC8aPeLYYKaJCLDCMMgBCk2YBcIwygRsANItcIJIP@/wcA	
(0=⊢∘.|⍨∘⍳⌈/)Jv	Divisibility table	Tacit	Monadic Function		Mathematical	divides divisor matrix		
0.01∘(⊣×∘⌊0.5+÷⍨)N	Rounding to nearest hundredth (favouring up)	Tacit	Monadic Function		Mathematical	precision favoring whole number favoring		
0.05∘(⊣×∘⌊0.5+÷⍨)N	Rounding currencies to nearest 5 subunits	Tacit	Monadic Function		Mathematical	cents nickels ¢5¢		
Is(⊣*∘÷⍨1⊥*⍨∘|)N	Is-norm	Tacit	Dyadic Function		Mathematical	Lp-normal L-p ℓp ℓ-p	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtE4wUNB51LdZ61DHj8PZHvSsMH3Ut1QLSQH6NpoKxgsn//wA	
(+⍨=1+1⊥∘∪⊢∨⍳)Js	Is Js an almost perfect number?	Tacit	Monadic Function		Mathematical	testif almostperfect? almost-perfect?		
(+⍨=¯1+1⊥∘∪⊢∨⍳)Js	Is Js a quasiperfect number? (none are known)	Tacit	Monadic Function		Mathematical	testif quasiperfect? quasi-perfect?		
Mv(*@1⊢∘⍟⌹1,∘⍪⊣)Nv	Coefficients of least squares exponential fit given X values Mv and Y values Nv	Tacit	Dyadic Function		Mathematical	best fitting regression model y=a+b^x y=a^x+b curve		
{⊃,/,¨⊆¨⍵}⍣≡Y	Enlist (∊Y) but keep leaf simple arrays intact	Tacit	Monadic Function		Structural	leaves subarrays sub-arrays flattening flattened raze razing flatten() items	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSqH3U16@jrHFrxqKsNSPRurX3Uu/hR50IFDfXExER1BfWkpCR1TQ0N9eTkZCAPQWoqqKekpAApjUddTeqpqanqmv//AwA	
(+/∘,÷(×/⍴))N	Arithmetic mean value of all elements	Tacit	Monadic Function		Mathematical	average arithmeticmean() AM() avg() major cells rows items		
((¯1↓⊢,⍨1↑0∘⍴)⍤1)Y	Leftmost neighbouring elements (padding at edge)	Tacit	Monadic Function		Selection	neighboring neighbours neighbors lefthand bitshift cells items		
Is(⌈(⊃>⍥|⌽,)⌊)Js	Choose the number closer to zero (the positive one if tied)	Tacit	Dyadic Function		Selection	pick closest to 0 smallest least lowest magnitude absolute value		
(⊃⍤⌽⍤⍸⍤1≠∘' ')D	Indices of last non-blanks in rows	Tacit	Monadic Function		Index Generation	nonblanks nonspaces characters text row-wise rowwise horizontally string		
(1,(×\⌽÷⊢)∘⍳)Js	Coefficients of the binomial (approximated, fastest above 10)	Tacit	Monadic Function		Mathematical	binomial combinations choose		
(⊢∧(∧⍀∨⍀=⊢))B	First group of ones	Tacit	Monadic Function		Boolean/Logical	sequence run trues truths 1st		
((×⌿2 2⍴1,⍴)⍴2 1 3∘⍉)Y	Juxtapositioning planes of rank 3 array Y	Tacit	Dyadic Function		Structural	merge layers		
((⊢~∘.×⍨)1↓⍳)Js	Primes until Js	Tacit	Monadic Function		Mathematical	primesuntil numbers		
(⊢⌽⍨1-1⊥⍨=∘' ')Dm	Right justify matrix Dm	Tacit	Monadic Function		Text	rightalignright right-align flushrightflush rightjustifyright table string		
Is(⊣⊥⊣|(+/⊥⍣¯1))J	Digital sum in base Is	Tacit	Dyadic Function		Mathematical			
((⎕NUNTIE⊢⎕NREAD⍤,∘80 ¯1)⎕NTIE∘0)Dv	Read raw bytes of file Dv as 8-bit unsigned characters	Tacit	Monadic Function		Native Files	binary fetch get byte-values 8bit bytevalues blob uchrs uchars		
((⎕NUNTIE⊢⎕NREAD⍤,∘83 ¯1)⎕NTIE∘0)Dv	Read raw bytes of file Dv as 8-bit signed integers	Tacit	Monadic Function		Native Files	binary fetch get byte-values 8bit bytevalues blob sints		
(∩∘(⎕D,⎕A,⎕C⎕A))Dv	Remove non-alphanumeric ASCII characters	Tacit	Monadic Function		Text	punctuation removing erasing erase eliminate eliminating delete deleting string		
(~∘'.,:;?!')Dv	Remove punctuation	Tacit	Monadic Function		Text	delete symbols drop without removing erasing erase eliminate eliminating deleting string		
Cv{∇⌊⎕DL⍵⊣0#.⎕SAVE⍺}&Ns	Save workspace as Cv every Ns seconds	Tacit	Dyadic Function		System	auto-save autosave auto-saving autosaving automatic backup back-up continuous in the background		
Ms{⍵⌷⍨⊂⍋⍋⍺×⍋⍵}A	Sort A according to Ms (1: ascending, 0: unordered, ¯1: descending)	Tacit	Monadic Function		Mathematical	sorting reordering ordering		
('MDCLXVI'/⍨(0,6⍴2 5)⊤⊢)Js	Generate Roman numeral (purely additive, no refinements)	Tacit	Monadic Function		Mathematical	to from decimal number romannumeral arabicnumerals latinnumeral		
' '@{2=⌈\' 0'⍳⍵}D	Replace leading zeros with blanks	Tacit	Monadic Function		Text	spaces nulls zeroes nils naughts noughts 0s falses falsehoods start beginning string		
M(*⍤-⍤⊣×*÷!⍤⊢)N	Poisson distribution of states N with average M	Tacit	Dyadic Function		Mathematical			
X(⍳⍨∘⊖⍨-⍨1+∘≢⊣)Y	Last indices in X of major cells Y, 0 if not found	Tacit	Dyadic Function		Index Generation	indexin indexof find locate positionof zero locating items elements location		
Iv(⍳⍤≢⍤⊣⌷∘⊃⍤0⌷⍤0 99)Y	Merging Y[1] Y[2] Y[3], … under control of Iv (1:cell from Y[1], 2:cell from Y[2], …)	Tacit	Dyadic Function		Selection	zipping merge merging interweave interweaving interleave interleaving shuffle shuffling meshing		
(0~⍨¯1-2-/∘⍸1,1,⍨~)Bv	Lengths of groups of ones in Bv	Tacit	Monadic Function		Boolean/Logical	runs 1s trues truths contiguous shapes tally tallies counts		
(2÷⍨⍋∘⍋+⍒∘⍋∘⌽)Nv	Assign ascending ranking based on scores Nv (ties all get average ranking of used slots)	Tacit	Monadic Function		Mathematical	places place-values positions shared allotted allocation allocate ranks ⍒⍋ ⍒⍤⍋	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0jA5vf9S74lFv96OOGUBS@1HvJAgLRPbs1VQwBkNTBQsgNDL8/x8A	
(2÷⍨⍋∘⍒+⍒∘⍒∘⌽)Nv	Assign descending ranking based on scores Nv (ties all get average ranking of used slots)	Tacit	Monadic Function		Mathematical	places place-values positions shared allotted allocation allocate ranks ⍒⍒ ⍒⍤⍒	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0jA5vf9S74lFv96OOGY96J2kDMYQFInv2aioYg6GpggUQGhn@/w8A	
Xv(≢⍤⊣↓¨,⊂⍨⊣⍷,)Yv	Split Yv at occurrences of Xv (removes separators and keeps empty segments)	Tacit	Dyadic Function		Structural	cut separate chop divide chunk dividing split() segments partitions by delimiters delimited string text		
I(⊢÷∘⍉1+⊣∘.×1+⊢)N	Annuity coefficient: I periods at interest N	Tacit	Dyadic Function		Mathematical	loan		
(⍳∘≢+.×⍨1 ¯1∘.=⍉)Jm	Changing connection matrix Jm (¯1 to 1) to a node matrix	Tacit	Monadic Function		Mathematical	graph connectivity table change converting conversion		
(2*∘÷⍨1⊥2*⍨-)⍤1⍤1 99⍨Nm	Euclidean distance table for points in N-space (one point per row)	Tacit	Monadic Function		Mathematical	L2-distance L-2 ℓ2 ℓ-2 ℓ₂ L² Cartesian metric Pythagorean d() matrix	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0jLQedcw4vP1R7wrDR11LgbzeFbqaj3qXGIKwgqUlkK8AVWuiYPSod4uBAggaAiGY/P8fAA	
(⍉1+⍴⊤¯1+∘⍳×/∘⍴)Y	Matrix of all indices of Y (↑,⍳⍴Y for large Y)	Tacit	Monadic Function		Array Properties	element locations flat cell item table counter counting	https://tio.run/##SyzI0U2pTMzJT/8PBI/6pj5qm6Cg8ai301D7Ue@WR11LDq0HsjpmPOrdfHi6PpixRVPBWMFQwQTIMvwPAA	
(↓(⌊/≢¨)↑⍉∘↑)Yv	Merge vectors in Yv alternately (↓⍉↑ that removes trailing elements from longer vectors)	Tacit	Monadic Function		Structural	faro weave dovetail the technique zipper zipping merging interweave interweaving interleave interleaving shuffle shuffling meshing list(zip()) remixing transposing transpose zip zipwith() zip-with zipwith	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HrVN1njU06X/qHPRoRWaj9omPurtfNQxA8jQVFD3yy9XV1DPLAYSJRmpIDIzN1X9/38A	
Ms((9 11○⊣)+.×9 11∘.○⊢)N	Rectangular scale of complex N by complex factor Ms	Tacit	Dyadic Function		Mathematical	resize stretch squeeze		
((¯1∘⎕C≠⊢)-1∘⎕C≠⊢)D	Detect case of characters (1:uppercase, ¯1:lowercase, 0:neither)	Tacit	Monadic Function		Text	query determine report string		
((¯1∘⎕C≠⊢)∧1∘⎕C≠⊢)D	Are characters of D titlecase?	Tacit	Monadic Function		Text	title-case? digraphs? ligatures? string		
Cv⎕S{⍵.(1↓Lengths↑¨Offsets↓¨⊂Block)}Dv	Search text for PCRE regex(es) Cv returning vector of vector of capturing groups	Tacit	Monadic Function	Monadic Operator	System Function	regexp find locate perlcompatibleregularexpression locating location capture \1 \2 \3 \4 \5 \6 \7 \8 \9 subpatterns sub-patterns string regex regular expression ⍵.Matches	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUNWLKtTUVNGJStDXVFYCCwdWPerfqaRg@apvsk5qXXpJR/Kht4qEV/mlpxaklQPbkQysedTU55eQnZ2vWKqhnpObk5CsYGhkrmJiaqSuoJxbkKBibGaj//w8A	
('/'@('\'∘=))Dv	Replace backslashes with slashes	Tacit	Monadic Function		Text	forward-slash normalise normalize normalising normalizing normalisation normalization file-path filepath-delimiters dos windows linux posix unix	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ01PXVHTTUY9Qfdcyw1dRUUC9ILMmIKcmPScvMSVX//x8A	
0∘(1+<+∘⌊10⍟∘|⊢+=)J	Number of digit positions in integers in J	Tacit	Monadic Function		Mathematical	digits		
Is(⊢↑⍨⊢∘≢+|∘-∘≢)Y	Increasing the leading dimension of Y to multiple of Is	Tacit	Dyadic Function		Structural	1st axis divisibleby pad extend first start beginning		
Iv(⊢↑⍨⊢∘⍴+|∘-∘⍴)Y	Increasing the dimensions of Y to multiples of Iv	Tacit	Dyadic Function		Structural	allaxes divisibleby pad extend axes		
Is(⊢↑⍨∘-∘⌊2÷⍨+∘≢)Dv	Centering text line Dv into a field of width Is	Tacit	Dyadic Function		Text	centre align string		
Is(⍉⊢⍴⍨⊣,⍨⊢∘≢÷⊣)Yv	Reshape Yv to Is-row matrix (filled column-wise)	Tacit	Monadic Function		Structural	table vertically columnwise rows		
Is(⊢÷⊣*∘÷⍨1⊥*⍨∘|)N	Normalisation by Is-norm	Tacit	Dyadic Function		Mathematical	Lp-normalise Lp-normalize Lp-normalization L-p ℓp ℓ-p	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtE4wUNB51LTq8/VHXYq1HHTOAjN4Vho@6lmoBaSC/RlPBWMHk/38A	
Ms(⊣*∘÷⍨1⊥*⍨÷⊢∘≢)N	Generalised mean	Tacit	Dyadic Function		Mathematical	x-mean xmean generalized power Hölder holder cubic		
(≢(⊢-⍨1↓⊢,1+⊣)⍸)Bv	Length of subvectors indicated by Bv (Fast ≢¨⊆⍨Bv)	Tacit	Monadic Function		Array Properties	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists major count length() cells len() major cells rows elements dimension separated separator delimiter	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HnUu0njUtUj3Ue8Kw0dtk4FMHUPtR12LNR/17tBUMFQwAENDCOv/fwA	
(⊂⊃¨⍨∘⍋(≢,⊂)¨)Yv	Ascending shortlex sort	Tacit	Monadic Function		Mathematical	radix length-lexicographic lengthlexicographic military genealogical sorting ordering bylength		
(⊂⊃¨⍨∘⍒(≢,⊂)¨)Yv	Descending shortlex sort	Tacit	Monadic Function		Mathematical	radix length-lexicographic lengthlexicographic military genealogical sorting ordering bylength		
((+\∊⍨∘⍳+/)1∘+)Jv	Expansion vector (left argument for \ or ⍀) to insert Jv[i] elements before i'th element	Tacit	Monadic Function		Structural	expand openup major cells rows items lists		
Mm{,⍤2,[⍳2]1 3 2 4⍉⍺∘.×⍵}Nm	Kronecker product	Tacit	Dyadic Function		Mathematical	matrixdirectproduct ⊗ Zehfussmatrix Zehfussproduct	https://tio.run/##SyzI0U2pTMzJT///31HhUdsEBSMF40e9WwwVDq03UTDXObQeyFcw5nICy5komADlLIBylkBspmCqA1JnDFVrpACSAWFjoLgRkDYFYkOuR31TQZodFap1HvUuMdKJftS72SjWEGiuEci8zke9ux51zNA7PP1R79ZaBaf//wE	
Mv(⊢(⊢+.×⌹)1,∘⍪⊣)Nv	Predicted values of least squares linear fit given X values Mv and Y values Nv	Tacit	Dyadic Function		Mathematical	best fitting regression model correct y=ab^x		
({≢⍸⍵}⌺3 3∊¨3+0,¨⊢)Bm	Conway's Game of Life: next generation	Tacit	Monadic Function		Mathematical	gol conways cellularautomaton sub-array		
{⍺←'assertion failure' ⋄ 0∊⍵:⍺ ⎕SIGNAL 8 ⋄ shy←0}B	Signal an error if any condition is not met (optional left argument: message on failure)	Tacit	Ambivalent Monadic Function, Dyadic Function		System	throwing raising unittest unit-test roger's hui's	https://tio.run/##SyzI0U2pTMzJT///P7G4OLWoROFR2wSF6ke9u4C0OkQoMz9PIS0xM6e0KFVd4VF3i4LBo46uR71brYCqFB71TQ32dPdz9FGwAMsVZ1QCdRrUws0ztTNUMFE4tN6ICypgDBMAAA	
Iv(↓↑⍨⍴⍤⊢××⍤⊣+0=⊣)Y	Shift each dimension of Y by corresponding amount in Iv	Tacit	Dyadic Function		Structural	rotating shift-out shift-in shiftout shifting non-cyclically noncyclically ⌽ ⊖ padding-rotation rotate with		
Iv(⊢∘≢≥∘⍋⊢∘⍳∘≢,⊣)Y	Expansion vector for Y with zeros after indices Iv	Tacit	Dyadic Function		Boolean/Logical	0s zeroes falses falsehoods list		
(⊃∘.×3∘⊃∘.*⍨1+2∘⊃)N	Compound interest for principals N[1] at rates N[2] in times N[3]	Tacit	Monadic Function		Mathematical	values table matrix		
0.5∘(⊣*⍨+.××.-0,⊢)N	Area of triangle with side lengths N	Tacit	Monadic Function		Circular/Trigonometric	Heron's formula herons		
(0=10|1⊥∘,0 10⊤⊢×∘⌽1 2⍴⍨≢)Jv	Valid credit card?	Tacit	Monadic Function		Mathematical	testif luhns luhn's formula debitcard? creditcard? checksum valid?		
M((1-⊣×1-⊢)×1-⊢×1-⊣)N	Probabilistic XNOR	Tacit	Dyadic Function		Mathematical	fuzzy probability chance materialbiconditional biimplication eqv nxor bothorneither exclusivenor materialequivalence ⇔ δ ẟ Kroneckerdelta iff logicalequivalence Epq doubleimplying		
Xs(1↓,⊢⍤/⍨1(⊢∨⌽)0,≠)Yv	Remove leading, multiple and trailing Xs's	Tacit	Dyadic Function		Selection	trim left right spaces consecutive blanks start beginning ending removing erasing erase eliminate eliminating delete deleting		
((1,⍨⍪)⊢⍤/⍥,⍪,~)Bv	Expansion vector (left argument for \ or ⍀) to insert a new element after each one in Bv	Tacit	Monadic Function		Structural	expand openup major cells rows items lists		
Is(⊣,⊣-∘(⍳∘|××)-)Js	Consecutive integers from Is to Js (descending if Is>Js)	Tacit	Dyadic Function		Mathematical	arithmetic progression sequence inclusiverange seq() sequence … ... values between		
X(⊂⍤⍋⍤∊⍨⍥(⊂⍤¯1)⌷⊢)Y	Move items X to end of Y	Tacit	Dyadic Function		Sets	major cells rows elements trailing ending		
((¯1⌽+\∊⍨∘⍳+/)1∘+)Jv	Expansion vector (left argument for \ or ⍀) to insert Jv[i] elements after i'th element	Tacit	Monadic Function		Structural	expand openup major cells rows items list		
(-/(⍳⌈/∘,)∘.=⍉)Im	Changing node matrix Im (starts,ends) to a connection matrix	Tacit	Monadic Function		Mathematical	graph connectivity starting points beginnings table change converting conversion		
(-1⊥2(⍟×⊢)⊢∘≢⌸÷≢)Y	Shannon entropy of array ⍵	Tacit	Monadic Function		Mathematical	informationtheory text message string		
Ms(0j1⊥⊣(⊢×<∘|)11 9∘.○⊢)N	Null near-zero (within absolute distance Ms) real and imaginary parts in N	Tacit	Monadic Function		Mathematical	zero-out 0-out remove eliminate arithmetic near-zeros near-zeroes near-0s set small tiny fuzz tolerance tolerant ⎕CT almost values complex numbers part near-real near-imaginary		
(⌊10⍟⊢÷⍨∘⍎'.'~⍨⍕)Nv	Number of decimals of elements of Nv	Tacit	Monadic Function		Mathematical	digits cells items		
M((1-×)×1-(1-⊣)×1-⊢)N	Probabilistic XOR	Tacit	Dyadic Function		Mathematical	fuzzy probability chance exclusivedisjunction eor exor ⊕ ⊻ ⇎ Jpq		
Is{(+/∘∪⊢∨⍳)⍣⍺⊢⍵}Js	Is'th number in the Aliqout sequence for Js	Tacit	Dyadic Function		Mathematical			
(⊢,[0.5]'¯'\⍨≠∘' ')Dv	Underlines non-blanks in a string	Tacit	Monadic Function		Text	wordunderlinewords wordunderscorewords		
M(⊢∘××⊣×∘⌈¯0.5+∘|÷⍨)N	Rounding N to nearest M (favouring towards 0)	Tacit	Dyadic Function		Mathematical	precision favoring		
M(⊢∘××⊣×∘⌊0.5+∘|÷⍨)N	Rounding N to nearest M (favouring away from 0)	Tacit	Dyadic Function		Mathematical	precision favoring		
(~0∊×∘|≤∘.<⍨∘⍳∘≢)Bm	Is Bm an upper triangular matrix without diagonal?	Tacit	Monadic Function		Boolean/Logical	testif triangle NE northeast north-east table triangular? remove strict removing erasing erase eliminate eliminating delete deleting	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ06gwedXQdnv6oY0bNo84lQErP5lHvCiD9qHcziOxcpKkAVWusYPyod4uhAhrkotAoAyhpQIlRSIaASQNKjIIbAoH//wMA	
(~0∊×∘|≤∘.≤⍨∘⍳∘≢)Bm	Is Bm an upper triangular matrix with diagonal?	Tacit	Monadic Function		Boolean/Logical	testif triangle NE northeast north-east table triangular?	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ06gwedXQdnv6oY0bNo84lQEoPRPWuALIe9W4GkZ2LNBWgqo0VjB/1bjFUQINcFBtmACUNKDMMyRgwaUCZYXBjIPD/fwA	
(~0∊×∘|≤∘.≥⍨∘⍳∘≢)Bm	Is Bm a lower triangular matrix with diagonal?	Tacit	Monadic Function		Boolean/Logical	testif triangle SW southwest south-west table triangular?	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ06gwedXQdnv6oY0bNo84lQErvUefSR70rgKxHvZtBZOciTQWoamMF40e9WwwV0CAXRYYZACHIGAPKDTOAGgY3knLDkIz8/x8A	
(~0∊×∘|≤∘.>⍨∘⍳∘≢)Bm	Is Bm a lower triangular matrix without diagonal?	Tacit	Monadic Function		Boolean/Logical	testif triangle SW southwest south-west table triangular? remove strict removing erasing erase eliminate eliminating delete deleting	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ06gwedXQdnv6oY0bNo84lQErP7lHvCiD9qHcziOxcpKkAVWusYPyod4uhAhrkosAoAyAEGWJAqVEGUKPgBlJqFJKB//8DAA	
M(+⌿⊣∘.*⍨∘∪⊢∨⊢∘⍳)Js	Sum of M'th powers of positive divisors of Js	Tacit	Dyadic Function		Mathematical	sigma_x sigma_2 sigma_3 sigma_4 sigmax sigma2 sigma3 sigma4 σₓ(n) σ₂(n) σ₃(n) σ₄(n)		
((×⌿∘!-∘1)÷∘!¯1++⌿)N	Multivariate Beta Function	Tacit	Dyadic Function		Mathematical	B() Β() beta() Ꞵ		
Mv(|2÷⍨+.×∘(¯1∘⌽-1∘⌽))Nv	Area of a polygon given Mv,Nv endpoints	Tacit	Dyadic Function		Mathematical	shoelaceformula		
Ms(0J1⊥(1↓⊢∘⊖)×⊢÷⊣-¯1↑⊢)Nm	Perspective projection of Nm from distance Ms	Tacit	Dyadic Function		Mathematical			
{⎕A[26|13+⎕A⍳⍵]}@(∊∘⎕A)D	Rot-13	Tacit	Monadic Function		Text	obfuscation obfuscate rot13 string		
(⊢⊢⍤/⍨1(⊢∨⌽)' '∘≠)Dv	Cyclic compression of successive blanks	Tacit	Monadic Function		Text	delete trim reformat extraneous spaces multiple remove drop without removing erasing erase eliminate eliminating deleting string		
(≠\(⍳+/)∊(+\1∘,))Jv	Vector (Jv[1]⍴1),(Jv[2]⍴0),(Jv[3]⍴1),…	Tacit	Monadic Function		Boolean/Logical	sequence list alternating bits 1s 0s ones zeros zeroes falses falsehoods trues truths		
Av(∧∨⊢{⍵\2</0,⍵/⍺}∨)Bv	First one (<\) in each subvector of Bv indicated by Av (fast ∊<\¨Av⊂Bv)	Tacit	Dyadic Function		Boolean/Logical	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists 1st scan separated separator delimiter		
Av(≠\∨{⍺\2≠/0,⍺/⍵}⊢)Bv	State of switch given Bv on and Av off spikes	Tacit	Dyadic Function		Boolean/Logical	signal on/off		
({⍉(⊂∘⍋⌷⊢)⍤1⍉⍵}⍤2)Y	Sort each column in ascending order	Tacit	Monadic Function		Mathematical	up increasing sorting reordering ordering		
('[%&\\]'⎕R'\\&')Dv	Escape special characters for transformation pattern of ⎕R and ⎕S	Tacit	Monadic Function		Text	string substitution search replace regex regular expression right operand ⍵⍵	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ01KNV1WJiYtWB/CD1mBg1dU0F9ZiC1CLV5NS8EvX//wE	
Cv(Xs#.{⍺←⊢ ⋄ ⍺ ⍺⍺.⎕NL ⍵})Nv	Names public to object Xs, optionally filtered by first letters Cv	Tacit	Ambivalent Monadic Function, Dyadic Function		System	namelist classes instance fields methods properties objects		
(⌽∘⍳∘≢⌽⊢,(0 ¯1+≢)⍴0∘⍴)Yv	Diagonal matrix with elements of Yv (filled appropriately)	Tacit	Monadic Function		Structural	cells items table		
'/*'∘(≠\⍷∨¯1⌽∘⌽⍷∘⌽)D	Position of /*comments*/	Tacit	Monadic Function		Text	cstylecomments *//* string		
Mv(*⊢∘⍟(⊢+.×⌹)1,∘⍪⊣)Nv	Predicted values of least squares exponential fit given X values Mv and Y values Nv	Tacit	Dyadic Function		Mathematical	best fitting regression model correct y=ab^x curve		
X({¯1+≢⍵}⌸⍸,⍨0,∘⍳∘≢⊣)Y	Distribution of Y into intervals with cut-offs X	Tacit	Dyadic Function		Mathematical	bins groups ranges buckets		
(+/∘⊃2⎕NINFO⍠1⍠'Recurse' 1,∘'/*')Dv	Size (in bytes) of all contents in directory Dv (recursively)	Tacit	Monadic Function	Native Files	System Function	subdirectories sub-directories subfolders sub-folders ls list space with everything inside it contained contains total information	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0tPUfdcx41NVsBBTw8/Rz83/Uu8AQiNWDUpNLi4pT1RUMdYAq1PW11DUV1PXzC0r0cyFm6Bua6xnqm5nol@ZlJuenpOr7ZCYVJRZVqv//DwA	
'\^[@-_]'⎕R{⎕UCS¯64+⎕UCS 1↓⍵.Match}Dv	Evaluate control character sequences (like ^J)	Tacit	Monadic Function		Text	strings escapes characters charvector charvecs null bell backspace bs horizontaltab ht linefeed lf verticaltab vt formfeed ff carriagereturn cr crlf cr+lf ^M^J control-z sub eof endoffile end-of-file escape ^@ ^A ^B ^C ^D ^E ^F ^G ^H ^I ^J ^K ^L ^M ^N ^O ^P ^Q ^R ^S ^T ^U ^V ^W ^X ^Y ^Z ^[ ^\ ^] ^^ ^_ string		
Av(≥{~≠\⍺\2≠/1,⍺⌿⍵}⊢)Bv	Leading ones (∧⍀) in each subvector of Bv indicated by Av	Tacit	Dyadic Function		Boolean/Logical	1s trues truths start beginning		
(+\'('∘=-¯1↓0,')'∘=)Dv	Depth of parentheses	Tacit	Monadic Function		Text	bracket brace nesting level parenthesis parens string		
(⊢{⍎⍺,'←⍵'}⎕EX⊢⎕NS∘⍎)Dv	Make named namespace Dv into unnamed namespace	Tacit	Monadic Function		System	remove removing erasing erase eliminate eliminating delete deleting		
Is(∧/+=∘(+/∘∪⊢∨⍳)¨,)Js	Are Is and Js amicable numbers?	Tacit	Dyadic Function		Mathematical	testif amicable?		
⌽@(1(⌽∨⊢)0<\⍤,2>/⊢)⍣≡Nv	Bubble sort	Tacit	Monadic Function		Mathematical	sinking	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQe9ex10NCwiXnUscIQyLaJ0TTQMbLTf9S1SPNR7@JHnQsVjBUMFUyA2PT/fwA	
Mv(⊣,⍥(2*∘÷⍨+.×⍨)⊢÷2⍨)Ns	Length of edges of pyramid with height and width Mv and length Ns	Tacit	Dyadic Function		Mathematical	lengths sides		
Xs(⎕FIX⊢⊣⎕NPUT⍨∘⊂∘⎕SRC⍨)Dv	Save scripted object Xs (ref) to synced file Dv	Tacit	Dyadic Function		System	sync'ed text source reference namespace class interface synchronised synchronized tracked string		
' '∘(1↓,⊢⍤/⍨1(⊢∨⌽)0,≠)Dv	Remove leading, trailing and duplicate blanks	Tacit	Monadic Function		Text	DEB remove delete trim reformat extraneous normalise normalize spaces multiple drop start beginning ending without removing erasing erase eliminate eliminating deleting string		
(⊃((+⌿÷≢),≢÷1⊥÷)⍣≡)Nv	Arithmetic-harmonic mean	Tacit	Monadic Function		Mathematical	average AHM() HAM() AH() HA() harmonic-arithmetic		
((3⌽']  [',⍕)⍤0∘⍳∘≢,⍕)Ym	Add line numbers to table Xm	Tacit	Monadic Function		Text	matrix string		
(⊢⊂⍨1,1↓≢↑2</'aeiouyäö'∊⍨⎕C)Dv	Syllabisation of a Finnish word Dv	Tacit	Monadic Function		Text	Syllabization syllables string		
Av(∧{⍵∧s∊⍺/s←+\2</0,⍵}⊢)Bv	Groups of ones in Bv pointed to by at least one 1 in Av	Tacit	Dyadic Function		Boolean/Logical	runs sequences 1s indicated trues truths contiguous		
(1⎕JSON{1<≢⍴⍵:∇¨⊂⍤¯1⊢⍵ ⋄ ⍵})Y	Convert any rank APL array to JSON	Tacit	Monadic Function		Data Conversion	from APL2JSON javascriptobjectnotation export generate serialise serialize table highrank matrix table multidimensional converting change changing		
(⊢⊆⍨∘(~∧≠\)=∘'''')Dv	Extract text (without quotes) in expression	Tacit	Monadic Function		Text	strings remove removing erasing erase eliminate eliminating delete deleting string		
('/'@(' '∘=)∘⍕100|1⌽3∘↑)Jv	Date (⎕TS format) to M/D/YY	Tacit	Monadic Function		Text	ANSI INCITS 30-1997 (R2008) NIST FIPS PUB 4-2 American USA string		
('.'@(' '∘=)∘⍕∘⌽3∘↑)Jv	Date (⎕TS format) to D.M.YYYY	Tacit	Monadic Function		Text	ÖNORM DS Austrian Denmark Danish Finnish Finland Montenegro Serbian Montenegrin string		
X(Bv{(⍺⍺⌿⍺)@(⍸⍺⍺)⊢⍵})Y	Mask Operator: Merge X and Y using Bv (1 for X's item, 0 for Yv's item)	Tacit	Dyadic Function	Monadic Operator	Structural	zipping merging interweave interweaving interleave interleaving shuffle shuffling meshing alternative choose indicate masking indicating elements items major cells rows bitmask bit-mask		
(,⌷⍨∘⊂∘⍋1⊥⍴⊤¯1+∘⍳×/∘⍴)Ym	Diagonal ravel	Tacit	Monadic Function		Structural			
Mv((1∘⌽⍤⊣ׯ1⌽⊢)-¯1∘⌽⍤⊣×1⌽⊢)Nv	Vector (cross) product of vectors	Tacit	Dyadic Function		Mathematical	lists		
Is(∧/+=¯1+∘(+/∘∪⊢∨⍳)¨,)Js	Are Is and Js betrothed numbers?	Tacit	Dyadic Function		Mathematical	testif betrothed? quasiamicable? quasi-amicable?		
((⎕FUNTIE⊢⊢⎕FREAD⍤,¯1+2↓∘⍳/2↑⎕FSIZE)⎕FSTIE∘0)Dv	Read all components from component file Dv	Tacit	Monadic Function	Component Files	System	dcf get retrieve load copy fetch	https://tio.run/##SyzI0U2pTMzJT///vyRP4VHbBAX1tMycVL2U5DR1hUd9U92cg1wdQ1wVDLjUE5OSIUKOAQGufi4KJXlcQB5IC0gQqAwkpGD4/z8A	
''''∘(⊣,⊣,⍨⊢⊢⍤/⍨1+=)Dv	Doubling quotes for execution	Tacit	Monadic Function		Text	serialise ⍎⍣¯1 inverse⍎ string double escape		
({⍵⌷⍨⊂⍒⊢/⍵}{⍺,≢⍵}⌸)Y	Sorted frequency table	Tacit	Monadic Function		Mathematical	matrix		
0 1∘{(⍵,⍺)⍪⍺,∘.(⍎⍵)⍨⍺}Ds	Truth table: All possibilities of Boolean primitive Ds	Tacit	Monadic Function		Boolean/Logical	binary base-2 base2		
Is(⊢∘≢÷⍨1⊥⊣*⍨⊢-⊢∘≢÷⍨1⊥⊢)Nv	Is'th moment of Nv	Tacit	Dyadic Function		Mathematical			
((2*∘÷⍨+⌿÷≢)2*⍨⊢-+⌿÷≢)Nv	Theoretical standard deviation	Tacit	Monadic Function		Mathematical	stddev σ sigma SD uncorrected biased		
(⊢×+⍀-(¯1++⍀)⌈⍀⍤×2<⌿0∘⍪)Bv	Cumulative sum (+\) in each group of ones	Tacit	Monadic Function		Boolean/Logical	runs 1s trues truths contiguous cumsum plusscan		
(⊃⍳⍤≢(⊢⌊⌷⍤1∘.+⌷)/⍤,⊂)Nm	Shortest path length matrix from weighted adjacency matrix n2, using Floyd-Warshall	Tacit	Monadic Function		Mathematical	roy wfi directed transitive closure algorithm pathfinding search lengths dense edges vertices follow connections		
Mv(⊢×+.×)∘(⊢÷2*∘÷⍨+.×⍨)Nv	Component of Mv in direction of Nv	Tacit	Dyadic Function		Mathematical	euclidean vectors parts		
(⊃((+⌿÷≢),×⌿*∘÷≢)⍣≡)Nv	Arithmetic-geometric mean	Tacit	Monadic Function		Mathematical	average AGM() GAM() AG() GA() geometric-arithmetic common		
Mv(+⌿∘↑(,\0×⊣)(1↓,)¨×∘⊂)Nv	Product of polynomials with descending coefficients	Tacit	Dyadic Function		Mathematical	multiplicationof multiply times coefficients		
(⊃((×⌿*∘÷≢),≢÷1⊥÷)⍣≡)Nv	Geometric-harmonic mean	Tacit	Monadic Function		Mathematical	average GHM() HGM() GH() HG() harmonic-geometric		
({'⎕'/⍨¯1+≢⍵}⌸⊢,⍨∘⍳⌈/)Jv	Histogram (distribution barchart, down the page)	Tacit	Monadic Function		Mathematical			
(2÷⍨1⊥⊢⌷⍨∘⊂⍋⌷⍨∘⊂∘⌈2÷⍨0 1+≢)Nv	Median of non-empty Nv	Tacit	Monadic Function		Mathematical	average		
((2*∘÷⍨+⌿÷¯1+≢)2*⍨⊢-+⌿÷≢)Nv	Sample standard deviation	Tacit	Monadic Function		Mathematical	stddev σ sigma SD empirical corrected unbiased		
(≢÷⍨≢÷⍨(≢×+.*∘2)-2*⍨+⌿)Nv	Theoretical variance	Tacit	Monadic Function		Mathematical	σ² s² σ^2 s^2 Var(X) dispersion		
(2∘*↑(⌽2*⍳)⊖∘⍉⍴∘2⊤2/∘⍳2∘*)Js	Js-bit reflected Gray code	Tacit	Monadic Function		Boolean/Logical	reflected binary minimum error cyclic permutation binary progression base-2 base2		
(⊢/=(⎕D,⎕A~'GIOQ')⊃⍨1+31|∘⍎9∘↑)Dv	Is Dv a valid Finnish social security number? (10=≢Dv)	Tacit	Monadic Function		Text	testif SSN string		
(⍕,{2↑'thstndrd'↓⍨2×⊃⍵⌽∊1 0 8\⊂10↑0,⍳3})Js	Ordinal suffix for positive integer Js	Tacit	Monadic Function		Text	numbers ordinals suffixes 0th 1st 2nd 3rd 4th string	https://tio.run/##SyzI0U2pTMzJT///378oReFR2wSFR71TdaqNHrVNVC/JKC7JSylKUX/UNvlR7wqjw9MfdTU/6t36qGfvo44uQwUDBYuYR11NhgZAxQY6j3o3G9dyPeqbCjIEZJgBEufQCqC0oZEhsryhARj8/w8A	
(×/({(¯1+⍺*⍵+1)÷⍺-1}⌿2∘dfns.pco))Js	Sum of positive divisors of Js (fast +/∘∪⊢∨⍳)	Tacit	Monadic Function		Mathematical	sigma σ(n)	https://tio.run/##SyzI0U2pTMzJT///X70gOV/9Ud9U50j1lLS8YnUuIPtR2wQFjcPT9TWqNQ6tN9R@1LtL61HvVm1DzcPbgWxdw9pHPfuNHnXMAGrV1FQwNPr/HwA	
X({(d/⍺)@{d}⊃⌽(d f)←~@1⎕VFI⍵}⍤1)D	Conversion of each row to a number with defaults X	Tacit	Monadic Function		Data Conversion	text characters numbers eval() evaluate execute atoi() secure safe converting change changing string		
((⍳-∘⌈÷∘2)(⊣⊖⌽),⍨⍴∘⍳×⍨)Js	A magic square, odd side Js	Tacit	Monadic Function		Mathematical			
{⍉' +○⍟'[1+2⊥⍵∘.=⌽⍳⌈/,⍵]}Jm	Scatter plot of two series (one per row of Jm)	Tacit	Monadic Function		Mathematical	chart curve graph plotting		
1∘(⌷{(⎕NS⍬)(⊣⊣⍎)⍕⍺'←⍵'}⍤1↓)Ym	Convert table (matrix with names in header row) into vector of record namespaces	Tacit	Monadic Function		Data Conversion	headings labels objects list	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAlFewv5@C4aOOGRqPerZXawBF/IIf9a7R1HjUtRiEevs0H/VOfdS7Sx2o4VHvVvXaR71LDB@1TdZUMFYwftS7Rd0vMTdVXUHdMR1ERmUWJOengFhO@UlA0sgQSBgbGBoYAengxJycShAfxDExNjAwVP//HwA	
(-⍨\2(⊢⍴⍨÷⍨∘≢,⊣)∘⍸2≠/0,,∘0)Bv	Start and length of groups of 1s in Bv	Tacit	Monadic Function		Boolean/Logical	runs sequences blocks trues truths 1st ones contiguous		
I((31-2|7|¯1+⊣)-2∘=⍤⊣×2-0≠.=400 100 4∘.|⊢)J	Number of days in months I of years J	Tacit	Dyadic Function		Mathematical	gregoriancalendar feb29 29february29th feb28 28february28th length		
(((≢×+.*∘2)-2*⍨+⌿)÷≢×1⌈¯1+≢)Nv	Sample variance	Tacit	Monadic Function		Mathematical	σ² s² σ^2 s^2 empirical Var(X) dispersion		
Mv+.×⍥((⊢÷2*∘÷⍨+.×⍨)⊢-+⌿÷≢)Nv	Sample Pearson correlation coefficient	Tacit	Dyadic Function		Mathematical	pcc() ppmcc() bivariate		
{1∊⍵:-⎕TRAP←0 'C' '2 ⎕NQ ⎕SE''KeyPress'' ''TC''' ⋄ shy←0}B	Stop on the current line if any condition is met	Tacit	Monadic Function		System	⎕stop halt breakpoint break-point debug here statement stopif haltif		
(⊃÷¯2÷2∘⊃-¯1 1×2*∘÷⍨(×⍨2∘⊃)-(×/4@2))Nv	Solutions of quadratic equation Nv₁x²+Nv₂x+Nv₃=0	Tacit	Monadic Function		Mathematical	coefficients f(x)=ax²+bx+c=0 f(x)=ax^2+bx+c=0		
As{((¯1*⊃)×2⊥⊃≠,)⊖⍣⍺⊢(8÷⍨≢⍵)8⍴⍵}Bv	Convert bits Bv representing a signed integer of As-endianess (0:big, 1:little) into a number	Tacit	Dyadic Function		Data Conversion	⎕DR 163 16-bit 323 32-bit 643 64-bit 1283 128-bit 2563 256-bit 5123 512-bit 10243 1024-bit 645 1287 sint big-endian little-endian be le to-float	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFao1NA6tN9R61NWseXi60aOupUDWo84FOpqPuqY96l38qHfXo65FGhaHtz/qXfGoc9Gj3q2aFo96twDpWgUzk0dtEw0VDLmoYlodzLj//wE	
'\\(u...)?.'⎕R{0⎕JSON'"',⍵.Match,'"'}Dv	Evaluate JSON-style escape sequences (like \n and \u000a)	Tacit	Monadic Function		Text	strings escapes characters charvector charvecs backspace bs \b horizontaltab ht \t linefeed lf \n formfeed ff \f carriagereturn cr \r crlf cr+lf \r\n string		
('⎕THIS'{'t'⎕NS⍺⊣t←⍵}∘⍎⍨⊢⊣⎕SHADOW⍤{⍵.⎕NL-⍳9})Ys	Unpack members of namespace Ys to the current namespace, localising those names in the process	Tacit	Monadic Function		System	destructure open import merge into here		
((∪∊⊆⍨(2⌷⍉201⌶⍬)['MINI_NAME' 'MINI_QUADVAR'⍳⍨3⌷⍉201⌶⍬]∊⍨∘∊200⌶)⎕NR)Dv	Global names used by tradfn/tradop Dv	Tacit	Monadic Function		System	globals unlocalised unlocalized un-localised un-localized not list find all identifiers symbols xref cross-reference	https://tio.run/##SyzI0U2pTMzJT////1FHu1t@vnVOfnJijvWjvqm@PgpcCkDa0/9R2wQDhUfdLQpgUSDPkEsBrAzIfNQ28VHv5vSc/KTEHC6gEVxANUBhBQ2NRx2rHnV0Pepqe9S7QsPoUc/2R72dRgaGj3q2Pepdoxmt7uvp5xnv5@jrqq4AYQeGOrqEOQapA80DajFG0xELMqx3xaOOGUCGkYEBUFQTaJdfkKaCOtDd6v//AwA	
Is({⍵/⍨∧⌿2<⌿⍵}1+{(-⍺)↑⍳⍵}⊤∘⍳!×∘!⊣)Js	Numeric matrix of all unordered combinations of Is out of Js without replacement	Tacit	Dyadic Function		Mathematical	combinatorics selections list vector table remove removing erasing erase eliminate eliminating delete deleting		
(,⊢⍤/⍨(⊢=⍴⍴⌈⌿)<\⍤,⍤∧⊢=∘⍉⌽∘⍴⍴⌊/)Nm	Value of saddle point	Tacit	Monadic Function		Mathematical			
(⍉∘↑{(+/∨\' '≠⌽⍵)↑¨↓⍵}¨@(2=≢∘⍴¨))Yv	Convert inverted table to table (character data as matrices; remove trailing spaces)	Tacit	Monadic Function		Structural	matrix tables transforming transformation change changing into un-inverting un-inversion un-vertion unverting unversion unvertion removing erasing erase eliminate eliminating delete deleting	https://tio.run/##SyzI0U2pTMzJT/@vnpJZXJCTWKn@qG@qc6R6Slpesfp/IPtR2wQFqJSCxqPezkcdMx61TazW0NZ/1LEiRl1B/VHngkc9ex/1btUEih9a8ahtMpBde2iFg4aR7aPORSD1vVsOrdDUVNAwUjABstUdkxQUnFNS09SBQoYKRkDSXMFY8/9/AA	
Is(⊣|∘⊃{0=⍵:1 0 ⋄ (⍵∇⍵|⍺)+.×0 1,⍪1,-⌊⍺÷⍵}⍨)Js	Multiplicative inverse of Js modulo Is (fast)	Tacit	Dyadic Function		Mathematical	extended euclidean algorithm modular modulus modinv() invmod() numbertheory arithmetic		
(1⌽'$^','\*' '\?' '\W'⎕R'.*' '.' '\\&')Dv	Convert globbing pattern to regex	Tacit	Monadic Function		Text	patterns wildcards characters filenames shell matching string regular expression regexp	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0DB/17FVXiVPXUY/RUldQj7EHEeHqQOkgdT2QiB5IIEZNXVNBPTEp2d7evqKySi9FS/3/fwA	
'&[^;]+;'⎕R{3⊃,⎕XML⍠'Whitespace' 'Preserve'⊢'<_>',⍵.Match,'</_>'}Dv	Evaluate XML-style escape sequences (like &#10; and &#x0a;)	Tacit	Monadic Function		Text	strings escapes characters charvector charvecs quote &quot; apostrophe &apos; less-than lessthan &lt; greater-than greaterthan &gt; ampersand &amp; string		
'\\(u...|x..)?.'⎕R{0 ⎕JSON⍠'Dialect' 'JSON5'⊢'"',⍵.Match,'"'}Dv	Evaluate JS-style escape sequences (like \v and \x0a but not octal)	Tacit	Monadic Function		Text	javascript ecmascript es5 strings escapes characters charvector charvecs backspace bs \b horizontaltab ht \t linefeed lf \n formfeed ff \f carriagereturn cr \r crlf cr+lf \r\n string nullbyte zero \0 \x verticaltab		
('(?!\d)[\wÀ-ÖØ-Ýßà-öø-üþ∆⍙Ⓐ-Ⓩ]+'⎕S'&')Dv	Find all APL identifiers in Dv	Tacit	Monadic Function		Text	symbols names dyalog search for locate identify extract isolate valid legal allowed variable function operator label		https://help.dyalog.com/latest/#Language/Introduction/Variables/Names.htm
(⊃∘⊃({-⍺+.×⍨(+\-+/)@(∘.=⍨⍳∘≢)⍵×∘.≤⍨⍳≢⍵}/≢⍴⊂))Nm	Determinant of any square matrix	Tacit	Function		Mathematical	Bird'sMethod Bird'sAlgortihm det() |A| det(A) det(Nm) |Nm|		
dfns.esh digits	Shell for Eide-number sums	Dfn	Function		Mathematical	Eidenumbers rationalnumber balancedternary hexadecimal REPL		https://dfns.dyalog.com/n_esh.htm
TimeStamp←TieNo dfns.compidn CompNo	Component timestamp in IDN format	Dfn	Function		System			https://dfns.dyalog.com/n_compidn.htm
graph←graph dfns.gperm perm	⍵-permutation of vertices of graph ⍺	Dfn	Function		Mathematical	unweightedgraph		https://dfns.dyalog.com/n_gperm.htm
graph←graph dfns.insnode vertex	Insert vertex ⍵ in graph ⍺	Dfn	Function		Mathematical			https://dfns.dyalog.com/n_insnode.htm
graph←graph dfns.remnode vertex	Graph ⍺ with vertex ⍵ removed	Dfn	Function		Structural	unweightedgraph		https://dfns.dyalog.com/n_remnode.htm
hex←dfns.hexf num	Convert to/from hex representation of IEEE 754/854 binary/decimal (depending on ⎕FR) floating point	Dfn	Function		Data Conversion	BID DPD FP64 float64 hexadecimal endian DecimalFloatingPoint BinaryFloatingPoint binary-64-bitFloatingPoint binary64bitFloatingPoint decimal-128-bitFloatingPoint decimal128bitFloatingPoint converting change changing double-precision quadruple-precision		https://dfns.dyalog.com/n_hexf.htm
area←dim dfns.ksphere radius	Hypersphere surface area	Dfn	Function		Mathematical	Newton-Raphson localmaximum K-sphere manifolds NewtonRaphson		https://dfns.dyalog.com/n_ksphere.htm
array←dfns.pack array	Saves WS by sharing subarrays	Dfn	Function		System	compression arraysharing sub-array memory saving		https://dfns.dyalog.com/n_pack.htm
segs←tag dfns.htx html	Extract html segments	Dfn	Function		Text	XMLtag Kumquat partitions string		https://dfns.dyalog.com/n_htx.htm
seq←dfns.k6174 nnnn	Kaprekar's operation	Dfn	Function		Mathematical	sequence Kaprekar'soperation Kaprekarsoperation		https://dfns.dyalog.com/n_k6174.htm
soln←dfns.quzzle grid	A hard, simple problem	Dfn	Function		Mathematical	diversions puzzle		https://dfns.dyalog.com/n_quzzle.htm
sref←dfns.cache ivec	Ref to space with initial cache	Dfn	Function		System	memoisation memoization persistentlocalvariable fibonaccinumber blank		https://dfns.dyalog.com/n_memo.htm
v83←dfns.f32 nums	Conversion to 32-bit floats as ⎕DR 83	Dfn	Function		Data Conversion	32-bitfloatingpoint 32bitfloatingpoint converting change changing		https://dfns.dyalog.com/n_f32.htm
val list←list dfns.alpop key	Value for key ⍵, and reduced list ⍺	Dfn	Function		Selection	associationlist dictionary look-uptable symboltable graph lists lookuptable vectors		https://dfns.dyalog.com/n_alists.htm
val←list dfns.alget key	Value for key ⍵ from list ⍺	Dfn	Function		Selection	associationlist dictionary look-uptable symboltable graph lists lookuptable vectors		https://dfns.dyalog.com/n_alists.htm
vvec←graph dfns.search from	Breadth-first search of graph ⍺	Dfn	Function		Structural	unweightedgraph breadthfirstsearch bfs		https://dfns.dyalog.com/n_search.htm
vvec←tree dfns.stpath to	Path through spanning tree ⍺ to vertex ⍵	Dfn	Function		Structural	graph spanningtree		https://dfns.dyalog.com/n_stpath.htm
vecs←seps dfns.segs vec	⍺-separated segments of vector ⍵	Dfn	Function		Structural	words split text list partitions string		https://dfns.dyalog.com/n_segs.htm
m←dfns.m91 n	McCarthy's M91 function	Dfn	Function		Mathematical			https://dfns.dyalog.com/n_m91.htm
mat←m dfns.cmat n	⍺-combination matrix of ⍳⍵	Dfn	Function		Mathematical	expressiontransformation Pascal'striangle fibonaccinumber Pascalstriangle table combinations of range		https://dfns.dyalog.com/n_cmat.htm
mat←dfns.pmat n	Numeric matrix of all permutations of length Js	Dfn	Monadic Function		Mathematical	combinatorics ordered without replacement list vector table		https://dfns.dyalog.com/n_pmat.htm
match←this dfns.refmatch that	Space reference match	Dfn	Function		Comparison	testif comparenamespaces namespacecomparison blank identical equal sameas equivalent		https://dfns.dyalog.com/n_refmatch.htm
bmat←dfns.assign costs	Hungarian method cost assignment	Dfn	Function		Mathematical	Hungarianmethod maximise optimise graph independentzeros zeroes 0s		https://dfns.dyalog.com/n_assign.htm
bmat←dfns.life bmat	John Conway's “Game of Life”	Dfn	Function		Boolean/Logical	gameoflife cellularautomaton glider diversions Asteroids YouTube GoL		https://dfns.dyalog.com/n_life.htm
bool←dfns.isdfn name	Test for D function	Dfn	Function		System	testforD-function name-clashproblem testforDfunction nameclashproblem		https://dfns.dyalog.com/n_isdfn.htm
bytes←dfns.wsreq expr	WS required to execute expression ⍵	Dfn	Function		System	performance monitor fudgefactor calibration		https://dfns.dyalog.com/n_wsreq.htm
chars←dfns.lcase chars	Lower-casification	Dfn	Function		Text	lowercase string		https://dfns.dyalog.com/n_lcase.htm
chars←dfns.ucase chars	Upper-casification	Dfn	Function		Text	uppercase lowercase upperorlowercase caseinsensitive string		https://dfns.dyalog.com/n_lcase.htm
calendar←dfns.cal date	Calendar	Dfn	Function		Mathematical	winningLoto lotto		https://dfns.dyalog.com/n_cal.htm
cvec←dfns.squeeze cvec	Compress multiple blanks	Dfn	Function		Text	compression linevector consecutive spaces string		https://dfns.dyalog.com/n_squeeze.htm
cvec←dfns.vtrim cvec	Remove trailing blanks	Dfn	Function		Text	compression spaces delete drop ending without removing erasing erase eliminate eliminating deleting string		https://dfns.dyalog.com/n_vtrim.htm
cvec←dfns.exit code	Return to calling environment	Dfn	Function		System	⎕OFF interactive conditional safe quit leave )off		https://dfns.dyalog.com/n_exit.htm
cvec←dfns.unwrap lvec	Replace [LF] with blanks	Dfn	Function		Text	wordswrapping linevector spaces string		https://dfns.dyalog.com/n_unwrap.htm
cvec←dfns.utf8get fid	Character vector from UTF-8 file ⍵	Dfn	Function		Native Files	text encoding Unicode list read load fetch string		https://dfns.dyalog.com/n_utf8get.htm
cvec←wgraph dfns.wcost path	Cost vector for path ⍵ through weighted graph ⍺	Dfn	Function		Mathematical	weightedgraph costvector list		https://dfns.dyalog.com/n_wcost.htm
cvecs←dfns.fnrefs func	External refs from tradfn ⍵	Dfn	Function		System	functionreferences cross-reference crossreference		https://dfns.dyalog.com/n_fnrefs.htm
cmat←dfns.mtrim cmat	Trim off trailing blank cols	Dfn	Function		Text	blanks trailingblanks spaces ending string		https://dfns.dyalog.com/n_mtrim.htm
cmat←dfns.display array	Boxed display of array	Dfn	Function		Text	displayofarrays boxing box-drawingcharacters boxdrawingcharacters enclosed string		https://dfns.dyalog.com/n_display.htm
cmat←dfns.displays array	Boxed display of array with axis lengths	Dfn	Function		Text	displayofarrays boxing box-drawingcharacters boxdrawingcharacters dimension enclosed string		https://dfns.dyalog.com/n_display.htm
cmat←dfns.displayr array	Boxed display of array with axis lengths and subarray depths	Dfn	Function		Text	displayofarrays boxing box-drawingcharacters boxdrawingcharacters sub-array dimension enclosed string		https://dfns.dyalog.com/n_display.htm
cmat←dfns.tfmt tree	Character matrix from tree(s)	Dfn	Function		Data Conversion	treesformatting table converting change changing		https://dfns.dyalog.com/n_tfmt.htm
cmats←dfns.queens N	The N-Queens Problem	Dfn	Function		Mathematical	diversions chesspuzzle treesearching purefunction YouTube NQueens		https://dfns.dyalog.com/n_queens.htm
cnos←file dfns.filefind string	Find 'string' ⍵ in component file ⍺	Dfn	Function		Component Files	componentfile text		https://dfns.dyalog.com/n_filefind.htm
code←dfns.morse text	Conversion to/from Morse code	Dfn	Function		Data Conversion	Morsecode converting change changing string		https://dfns.dyalog.com/n_morse.htm
coded←dfns.base64 plain	Base64 encoding and decoding as used in MIME	Dfn	Function		Representation	Base64encoding		https://dfns.dyalog.com/n_base64.htm
d←L dfns.dist R	Levenshtein distance	Dfn	Function		Mathematical	edit stringcomparison fuzzy		https://dfns.dyalog.com/n_dist.htm
dvec←dfns.stdists tree	Spanning-tree path lengths	Dfn	Function		Structural	graph spanningtree		https://dfns.dyalog.com/n_stdists.htm
digs←alph dfns.adic numb	Bijective base-⍺ numeration	Dfn	Function		Mathematical	k-adicnumbers shortlex bijectivenumeration unary kadicnumbers spreadsheet Excel columns labels titles		https://dfns.dyalog.com/n_adic.htm
digits←digits dfns.xpower number	Fast multi-digit power using FFT	Dfn	Function		Mathematical	FastFourierTransform		https://dfns.dyalog.com/n_xpower.htm
enc←dfns.rep name	Encapsulate function/operator	Dfn	Function		Data Conversion	functionarray encapsulatefunction converting change changing		https://dfns.dyalog.com/n_rep.htm
entropy←dfns.shannon string	Shannon entropy of message ⍵	Dfn	Function		Text	informationtheory		https://dfns.dyalog.com/n_shannon.htm
i←bits dfns.int u	Signed from unsigned integers	Dfn	Function		Data Conversion	typeconversion pervasivefunction nativefile cast converting change changing		https://dfns.dyalog.com/n_int.htm
indx←brks dfns.range nums	Numeric range classification	Dfn	Function		Comparison			https://dfns.dyalog.com/n_range.htm
indx←notespace dfns.index class	⍵-index of notes in space ⍺	Dfn	Function		Text	blank string		https://dfns.dyalog.com/n_index.htm
kinds←dfns.kind namelist	Parse-category of name(s) ⍵	Dfn	Function		Text	nameclass namecolouring hybrid coloring parser parsing apl dyalog types names token syntax string		https://dfns.dyalog.com/n_kind.htm
list←dfns.list vect	List from vector ⍵	Dfn	Function		Structural	accumulator lambdaexpression min(workspace) parsing lists cons vectors		https://dfns.dyalog.com/n_list.htm
list←list dfns.alset key val	List ⍺ with key-value ⍵ replacement	Dfn	Function		Structural	associationlist dictionary look-uptable symboltable graph lists lookuptable vectors		https://dfns.dyalog.com/
list←list dfns.alpush key val	List ⍺ extended with key-value pair ⍵	Dfn	Function		Structural	associationlist dictionary look-uptable symboltable graph lists lookuptable vectors		https://dfns.dyalog.com/
line←dfns.rmcm line	APL source with comments removed	Dfn	Function		Text	functionsformatting commentremoval one-liner oneliner string		https://dfns.dyalog.com/n_rmcm.htm
n←dfns.nlines simple	Number of display lines for simple array	Dfn	Function		Text	defaultdisplay linesofoutput string		https://dfns.dyalog.com/n_nlines.htm
nvec←P dfns.efract Q	Egyptian fractions	Dfn	Function		Mathematical	Egyptianfraction		https://dfns.dyalog.com/n_efract.htm
nvec←from dfns.to unto	Sequence ⍺ … ⍵	Dfn	Function		Index Generation	stepping seq() enumFromThenTo		https://dfns.dyalog.com/n_to.htm
nvec←dfns.factors numb	Prime factors of ⍵	Dfn	Function		Mathematical	primenumber		https://dfns.dyalog.com/n_factors.htm
nvec←dfns.fibonacci num	Tail-recursive Fibonacci	Dfn	Function		Mathematical	tailrecursion accumulator fibonaccinumber goldenmean continuedfraction		https://dfns.dyalog.com/n_fibonacci.htm
nvec←dfns.sieve nvec	Sieve of Eratosthenes	Dfn	Function		Mathematical	primenumber		https://dfns.dyalog.com/n_sieve.htm
nvec←dfns.ripple nvec	Perfect Ripple Shuffle	Dfn	Function		Structural	faro weave dovetail the technique zipper zipping merge merging interweave interweaving interleave interleaving shuffling meshing grade carddeck diversions riffleshuffle		https://dfns.dyalog.com/n_ripple.htm
nvec←dfns.roots triple	Real roots of quadratic	Dfn	Function		Mathematical	realrootsofquadratic complexnumbers		https://dfns.dyalog.com/n_roots.htm
nvec←p dfns.nicediv q	⍵ similar integers with sum ⍺	Dfn	Function		Mathematical	histogram		https://dfns.dyalog.com/n_nicediv.htm
num←dfns.factorial num	Tail recursive factorial	Dfn	Function		Mathematical	tailrecursion accumulator		https://dfns.dyalog.com/n_factorial.htm
num←dfns.mean nvec	Arithmetic mean	Dfn	Function		Mathematical	localnames standarddeviation APL'88 APL88 1988		https://dfns.dyalog.com/n_mean.htm
num←dfns.det nmat	Determinant of square matrix	Dfn	Function		Mathematical	Gaussianmethod Hilbertmatrix det() |A| det(A) det(Nm) |Nm|		https://dfns.dyalog.com/n_det.htm
num←dfns.osc num	Oscillate - probably returns 1	Dfn	Function		Mathematical	cashprize wondrousnumber Gödel,Escher,Bach Goedel,Escher,Bach GödelEscherBach GodelEscherBach GoedelEscherBach engineer'sproof engineersproof collatz conjecture		https://dfns.dyalog.com/n_osc.htm
num←num dfns.gcd num	Greatest Common Divisor	Dfn	Function		Mathematical	greatestcommondivisor leastcommonmultiple tailrecursion		https://dfns.dyalog.com/n_gcd.htm
p←s dfns.birthday n	Probability of same birthday	Dfn	Function		Mathematical	paradox		https://dfns.dyalog.com/n_birthday.htm
paths←item dfns.in array	Locations of item ⍺ in array ⍵	Dfn	Function		Index Generation	find pick cell element locate		https://dfns.dyalog.com/n_in.htm
pvec←dfns.stpaths tree	Spanning tree paths	Dfn	Function		Structural	graph spanningtree		https://dfns.dyalog.com/n_stpaths.htm
precedes←this dfns.le that	Total array ordering (TAO) comparison	Dfn	Function		Mathematical	quicksort Totalarrayordering order(ofarrays) comparearrays lexically lexicographically sorting reordering		https://dfns.dyalog.com/n_le.htm
prob←cond dfns.bayes prior	Bayes' formula	Dfn	Function		Mathematical	Bayesformula statistical statistics probability probabilities		https://dfns.dyalog.com/n_bayes.htm
rslt←code dfns.type array	Widen ⍵ to type ⍺	Dfn	Function		Data Conversion	dataconversion ⎕DR converting change changing		https://dfns.dyalog.com/n_type.htm
rslt←indx dfns.from array	Select (1↓⍴⍵)-cells from array ⍵	Dfn	Function		Selection	arrayindexing		https://dfns.dyalog.com/n_from.htm
rslt←indx dfns.select avec	⍺-selection of items from vector ⍵	Dfn	Function		Selection	indexedassignment destructiveassignment purefunction list major cells rows elements		https://dfns.dyalog.com/n_select.htm
rslt←pvec dfns.lsys axiom	Lindenmayer L-system expansion	Dfn	Function		Selection	L-Systems fractal rewriting termrewriting Turtlegraphics LSystems		https://dfns.dyalog.com/n_lsys.htm
ref←dfns.mns defn	Make Namespace from association list ⍵	Dfn	Function		Data Conversion	associationlist vector converting change changing		https://dfns.dyalog.com/n_mns.htm
ref←dfns.refws wsid	Ref to saved ws ⍵	Dfn	Function		System	workspacereferences externalworkspace remoteexecution		https://dfns.dyalog.com/n_refws.htm
refs←dfns.refpath ref	Refs path from root to ⍵	Dfn	Function		Array Properties	parentspace ancestorspace namespacereferences		https://dfns.dyalog.com/n_refpath.htm
refs←dfns.xrefs array	Extract refs vector from array ⍵	Dfn	Function		Selection	namespacereferences list		https://dfns.dyalog.com/n_xrefs.htm
rounds←dfns.rr players	Round-robin tournament	Dfn	Function		Mathematical	Round-robintournament combination Roundrobintournament		https://dfns.dyalog.com/n_rr.htm
tree←graph dfns.span fm	Breadth-first span tree for graph ⍺ from vertex ⍵	Dfn	Function		Structural	0unweightedgraph spanningtree breadth-firstsearch breadthfirstsearch bfs		https://dfns.dyalog.com/n_span.htm
tree←graph dfns.dfspan from	Depth-first spanning tree: graph ⍺ from vertex ⍵	Dfn	Function		Structural	depth-firstsearch spanningtree abstraction depthfirstsearch		https://dfns.dyalog.com/n_dfspan.htm
tree←wgraph dfns.wspan from	Spanning tree for weighted graph ⍺ from ⍵	Dfn	Function		Structural	weightedgraph spanningtree		https://dfns.dyalog.com/n_wspan.htm
tree←wug dfns.wmst root	Minimum Spanning Tree for weighted graph ⍺	Dfn	Function		Structural	weightedgraph spanningtree mininumspanningtree		https://dfns.dyalog.com/n_wmst.htm
u←bits dfns.uns i	Unsigned from signed integers	Dfn	Function		Data Conversion	typeconversion pervasivefunction nativefile cast converting change changing		https://dfns.dyalog.com/n_uns.htm
y←dfns.Cholesky x	Decomposition of Hermitian positive-definite matrix	Dfn	Function		Mathematical	Choleskydecomposition table		https://dfns.dyalog.com/n_Cholesky.htm
yes←larg dfns.subvec rarg	Is ⍺ a subvector of ⍵?	Dfn	Function		Structural	testif subvector? subset? sub-sequence? subsequence? substring sub-string sub-vector sub-list sublist		https://dfns.dyalog.com/n_subvec.htm
yyyymmdd←dfns.easter year	Easter Sunday in year ⍵	Dfn	Function		Mathematical	date CouncilofNicaea canonpaschalis pervasivefunction histogram		https://dfns.dyalog.com/n_easter.htm
z←x dfns.xtimes y	Fast multi-digit product using FFT	Dfn	Function		Mathematical	FastFourierTransform convolution polynomial convolute		https://dfns.dyalog.com/n_xtimes.htm
X{}Y	Fast: X and Y are ignored (sink; no result produced)	Dfn	Function	Performance	System	speed optimised optimized quick silence shh quiet dump idiom		
{}Y	Fast: Y is ignored (sink; no result produced)	Dfn	Function	Performance	System	speed optimised optimized quick silence shh quiet dump idiom		
X⊣⍣Bs⊢Y	Ternary: if Bs then return X else return Y	Dfn	Monadic Function	Structure	Expression	conditionaloperator inlineiff ternaryiff ?:		
cvec←dfns.dice ?6 6	Interpret a throw of dice	Dfn	Function		Text	guard diversions string		https://dfns.dyalog.com/n_dice.htm
v←2 dfns.pco ⍵	prime factors and exponents	Dfn	Dyadic Function		Mathematical	primenumber Jlang		https://dfns.dyalog.com/n_pco.htm
v←3 dfns.pco ⍵	prime factorization of ⍵	Dfn	Dyadic Function		Mathematical	primenumber Jlang		https://dfns.dyalog.com/n_pco.htm
b←0 dfns.pco ⍵	Is ⍵ a non-prime?	Dfn	Dyadic Function		Mathematical	testif primenumber Jlang nonprime? composite? not		https://dfns.dyalog.com/n_pco.htm
b←1 dfns.pco ⍵	Is ⍵ a prime?	Dfn	Dyadic Function		Mathematical	testif primenumber Jlang		https://dfns.dyalog.com/n_pco.htm
b←10 dfns.pco ⍵	m+b/⍳⍴b are all the primes between m and n, where ⍵≡m,n	Dfn	Dyadic Function		Mathematical	primenumber Jlang		https://dfns.dyalog.com/n_pco.htm
n←¯1 dfns.pco ⍵	number of primes less than ⍵	Dfn	Dyadic Function		Mathematical	primenumber Jlang		https://dfns.dyalog.com/n_pco.htm
p←4 dfns.pco ⍵	next prime larger than ⍵	Dfn	Dyadic Function		Mathematical	primenumber Jlang		https://dfns.dyalog.com/n_pco.htm
p←dfns.pco ⍵	⍵-th prime	Dfn	Monadic Function		Mathematical	primenumber Jlang		https://dfns.dyalog.com/n_pco.htm
p←¯4 dfns.pco ⍵	next prime smaller than ⍵	Dfn	Dyadic Function		Mathematical	primenumber Jlang		https://dfns.dyalog.com/n_pco.htm
Xv(1⊥=)Yv	Count number of trailing elements that are equal between two vectors of equal length	Dfn	Dyadic Function		Comparison	suffix matching onright items end match	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUnXPyS1PUFTQMH3UttdVUUA8oAvH//wcA	
Xv(1⊥≠)Yv	Count number of trailing elements that are unequal between two vectors of equal length	Dfn	Dyadic Function		Comparison	suffix different onright items end differ	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUHfMScyqLS9QVNAwfdS191LlAEyxWkp9bqf7/PwA	
graph←graph dfns.inslink (from to)	Insert edge ⍵ in graph ⍺	Dfn	Function		Mathematical			https://dfns.dyalog.com/n_inslink.htm
graph←graph dfns.remlink (from to)	Remove edge ⍵ from graph ⍺	Dfn	Function		Structural	unweightedgraph delete drop without removing erasing erase eliminate eliminating deleting		https://dfns.dyalog.com/n_remlink.htm
array←(from repl) dfns.subs array	Vector substitution	Dfn	Function		Text	stringreplacement list string		https://dfns.dyalog.com/n_subs.htm
saved←{seed} dfns.nspack ref	Share arrays across space tree	Dfn	Function		System	packing compression enlist blank		https://dfns.dyalog.com/n_nspack.htm
vvec←graph dfns.path (fm to)	Shortest path between ⍵ in graph ⍺	Dfn	Function		Mathematical	unweightedgraph breadth-firstsearch breadthfirstsearch bfs		https://dfns.dyalog.com/n_path.htm
bfobj←(dfns.mac) src	Simple macro processor for bf	Dfn	Function		Text	Brainfuck continuation-passingstyle continuationpassingstyle string		https://dfns.dyalog.com/n_mac.htm
bmat←{A CI} dfns.baby bmat	Manchester Small Scale Experimental Machine	Dfn	Function		Mathematical	SSEM firstcomputer assembler disassembler diversions bottom ⊥		https://dfns.dyalog.com/n_baby.htm
cvec←dfns.ss (srce from into)	Approximate alternative to xutils' ss	Dfn	Function		Text	ssxutils stringreplacement substitution string		https://dfns.dyalog.com/n_ss.htm
cvecs←{prim supp} dfns.words cvec	Source vector split into words	Dfn	Function		Text	list string		https://dfns.dyalog.com/n_words.htm
cvex←{width} dfns.hex nums	Hexadecimal from decimal	Dfn	Function		Data Conversion	decimalfromhex converting change changing		https://dfns.dyalog.com/n_hex.htm
cmat←dfns.ssmat (cmat from into)	Matrix search/replace	Dfn	Function		Structural	ssxutils stringreplacement substitution table		https://dfns.dyalog.com/n_ssmat.htm
cmat←{attributes} dfns.attrib namelist	Function/operator attributes	Dfn	Function		System	⎕AT ⎕SIZE syntax name-clashproblem nameclashproblem properties		https://dfns.dyalog.com/n_attrib.htm
enco←base (dfns.ary) ratnum	⍺-ary representation of rational ⍵	Dfn	Function		Mathematical	rationalnumber binary ternary IEEEFPprecision Boolean base-2 base2		https://dfns.dyalog.com/n_ary.htm
inv←{vals} dfns.gauss_jordan mat	Gauss-Jordan elimination	Dfn	Function		Mathematical	Hilbertmatrix IEEEFPprecision purefunction GaussJordan		https://dfns.dyalog.com/n_gauss_jordan.htm
lvec←{sepr} dfns.vtol nvec	Nested vector to lines	Dfn	Function		Data Conversion	linevector list converting change changing		https://dfns.dyalog.com/
lvec←{cols} dfns.justify lvec	Justify line-vector to ⍺ columns	Dfn	Function		Text	justifytext aligntext linevector string		https://dfns.dyalog.com/n_justify.htm
list←{leaves} dfns.enlist array	List ⍺-leaves of nested array	Dfn	Function		Structural	nestedarray vector		https://dfns.dyalog.com/n_enlist.htm
nvec←{axis} dfns.mscan nvec	Minus scan	Dfn	Function		Mathematical	scanoperators scanning		https://dfns.dyalog.com/n_scan.htm
nvec←{axis} dfns.dscan nvec	Divide scan	Dfn	Function		Mathematical	scanoperators dividing scanning		https://dfns.dyalog.com/n_scan.htm
nvec←{sepr} dfns.ltov lvec	Lines to nested vector	Dfn	Function		Text	linevector list string		https://dfns.dyalog.com/n_ltov.htm
nested←{left} dfns.eis right	Enclose-if-simple / link	Dfn	Function		Structural	encloseifsimple		https://dfns.dyalog.com/n_eis.htm
path←wgraph dfns.wpath (from to)	Quickest path from/to ⍵ in weighted graph ⍺	Dfn	Function		Mathematical	weightedgraph destructiveassignment indexedassignment		https://dfns.dyalog.com/n_wpath.htm
rslt←dfns.din ''	Evaluation of multi-line D-expression	Dfn	Function		Text	definefunction sessioninput ⎕SE REPL multiline string		https://dfns.dyalog.com/n_din.htm
rslt←{array} dfns.iotag array	Generalized iota	Dfn	Function		Mathematical	generialisediota generializediota generalized⍳ generalised⍳ Unicode alphabetical abcdefghijklmopqrstuvwxyz interval range steps sequence		https://dfns.dyalog.com/n_iotag.htm
rslt←{blank} dfns.dab argt	Drop All Blanks	Dfn	Function		Text	rab compression spaces delete remove without removing erasing erase eliminate eliminating deleting string		https://dfns.dyalog.com/n_dab.htm
rslt←{blank} dfns.dmb argt	Drop Multiple Blanks	Dfn	Function		Text	rmb compression spaces consecutive delete remove without removing erasing erase eliminate eliminating deleting string		https://dfns.dyalog.com/n_dmb.htm
rslt←{blank} dfns.deb argt	Drop Ending Blanks	Dfn	Function		Text	DLTB reb compression spaces delete remove trailing without removing erasing erase eliminate eliminating deleting string		https://dfns.dyalog.com/n_deb.htm
rslt←{blank} dfns.dlb argt	Drop Leading Blanks	Dfn	Function		Text	rlb compression spaces delete remove start beginning without removing erasing erase eliminate eliminating deleting string		https://dfns.dyalog.com/n_dlb.htm
rslt←{blank} dfns.dtb argt	Drop Trailing Blanks	Dfn	Function		Text	rtb compression spaces delete remove ending without removing erasing erase eliminate eliminating deleting string		https://dfns.dyalog.com/n_dtb.htm
rslt←{blank} dfns.dxb argt	Drop eXtraneous Blanks	Dfn	Function		Text	DEB rxb compression spaces delete remove without removing erasing erase eliminate eliminating deleting string		https://dfns.dyalog.com/n_dxb.htm
tree←dfns.tnest (depth leaves)	Array from TreeView style tree	Dfn	Function		Data Conversion	treesformatting converting change changing		https://dfns.dyalog.com/n_tnest.htm
{size}←cvec dfns.utf8put fid	Character vector ⍺ to UTF-8 file ⍵	Dfn	Function		Native Files	text encoding Unicode list write save dump string		https://dfns.dyalog.com/n_utf8put.htm
(depth leaves)←dfns.tview tree	TreeView style from nested array	Dfn	Function		Data Conversion	converting change changing		https://dfns.dyalog.com/n_tview.htm
{name}←dfns.fix rep	Fix function/operator rep	Dfn	Function		Data Conversion	fixfunction converting change changing		https://dfns.dyalog.com/n_fix.htm
{protected←0} dfns.wsmerge wsid	Merge saved ws into current active ws	Dfn	Function		System	workspacemerge		https://dfns.dyalog.com/n_wsmerge.htm
X{⍺⍵}Y	Fast: X and Y as a two item vector (X Y)	Dfn	Dyadic Function	Performance	Structural	speed optimised optimized quick juxtapose tuple pair list cell element idiom		
(9=40∘⎕ATX)Dv	Is Dv an object?	Dfn	Monadic Function		System	are objects?		
C←{trace←0} dfns.scc G	Strongly connected components of directed graph ⍵	Dfn	Function		Structural	Stronglyconnectedcomponents depth-firstsearch DAG depthfirstsearch dfs		https://dfns.dyalog.com/n_scc.htm
alloc←{seats←435} dfns.apportion populations	Huntington-Hill apportionment	Dfn	Function		Sets	USHousepfRepresentatives assignment alotment		https://dfns.dyalog.com/n_apportion.htm
stack←{repl←0} dfns.joy program	Subset of the Joy language	Dfn	Function		Text	lists concatenative applicative Ackermann'sfunction Ackermannsfunction Metacircular vectors interpreter programming joylang string		https://dfns.dyalog.com/n_joy.htm
sum←{digs←6} dfns.chksum array	Simple ⍺-digit checksum	Dfn	Function		Mathematical	hashing		https://dfns.dyalog.com/n_chksum.htm
sumvec←{base←10} dfns.colsum cols	Sum of (default decimal) digit columns with carry	Dfn	Function		Mathematical	addition columnsum infiniteprecision ripple		https://dfns.dyalog.com/n_colsum.htm
cvec←{tabstops←8} dfns.xtabs cvec	Expand/compress HT chars	Dfn	Function		Text	tabexpansion horizontaltabs adjacent1s flipflopRS string		https://dfns.dyalog.com/n_xtabs.htm
cvecs←{nv←0} dfns.tokens cvec	Lex of APL src line	Dfn	Function		Text	parsing lexicalscan parse dyalog string		https://dfns.dyalog.com/n_tokens.htm
cmat←{h v t←⍬ ⍬ 0} dfns.box text	Box the simple text array ⍵	Dfn	Function		Text	border box-drawingcharacters displayofarrays boxing boxdrawingcharacters boxed enclosed string		https://dfns.dyalog.com/n_box.htm
cmat←{topbar←1} dfns.dsp array	Reduced version of disp	Dfn	Function		Text	boxing displayofarrays tape string		https://dfns.dyalog.com/n_dsp.htm
cmp←{cmp←12} dfns.packZ exp	LZW compression	Dfn	Function		Storage	packing compression suffixtrie Lempel-Ziv-Welch LempelZivWelch Abraham Jacob Terry		https://dfns.dyalog.com/n_packZ.htm
cmp←{cmp←1} dfns.packX txt	TeXt Packer	Dfn	Function		Storage	packing compression string		https://dfns.dyalog.com/n_packX.htm
cmp←{cmp←1} dfns.packN exp	Null packing	Dfn	Function		Storage	compression stuff		https://dfns.dyalog.com/n_packN.htm
cmp←{cmp←1} dfns.packB exp	Pack a simple array	Dfn	Function		Storage	packing compression		https://dfns.dyalog.com/n_packB.htm
cmp←{cmp←1} dfns.packD data	Pack character array to Boolean vector	Dfn	Function		Storage	packing compression encryption list binary base-2 base2		https://dfns.dyalog.com/n_packD.htm
cmp←{cmp←1} dfns.packH exp	Huffman packing	Dfn	Function		Storage	compression Huffmancode		https://dfns.dyalog.com/n_packH.htm
cmp←{cmp←1} dfns.packQ data	Assorted uniQues packer	Dfn	Function		Storage	packing compression		https://dfns.dyalog.com/n_packQ.htm
cmp←{cmp←1} dfns.packR exp	Run-Length Encoding (RLE packing)	Dfn	Function		Storage	compression run-lengthencoding runlengthencoding		https://dfns.dyalog.com/n_packR.htm
cmp←{cmp←1} dfns.packS exp	Shannon-Fano packing	Dfn	Function		Storage	compression ShannonFano		https://dfns.dyalog.com/n_packS.htm
cmp←{cmp←1} dfns.packT exp	Simple text vector packager	Dfn	Function		Storage	packing compression list string		https://dfns.dyalog.com/n_packT.htm
cmp←{cmp←1} dfns.packU exp	Unique packing	Dfn	Function		Storage	compression		https://dfns.dyalog.com/n_packU.htm
cols←{base←1} dfns.mayan numb	Mayan numbers	Dfn	Function		Mathematical	numbersystem stela calendar date astronomy vigesimalnumbersystem abacus		https://dfns.dyalog.com/n_mayan.htm
crep←{tabs csep←4} dfns.refmt crep	Reformat dfn/op representation	Dfn	Function		Text	functionsformatting sourcecode layout string		https://dfns.dyalog.com/n_refmt.htm
dates←{g←¯53799} dfns.date daynos	⎕TS format from day number	Dfn	Function		Data Conversion	IDN InternationalDayNumber Gregoriancalendar serialnumber 1752 converting change changing		https://dfns.dyalog.com/n_date.htm
daynos←{g←17520902} dfns.days dates	Day number from ⎕TS format	Dfn	Function		Data Conversion	IDN InternationalDayNumber Gregoriancalendar serialnumber converting change changing		https://dfns.dyalog.com/n_days.htm
names←{expr←0} dfns.externs dfn	External references from dfn ⍵	Dfn	Function		System	externalreferences xref		https://dfns.dyalog.com/n_externs.htm
nvec←{denoms←1 5 6 10 26 39 43} dfns.stamps value	Postage stamps for ⍵	Dfn	Function		Mathematical	postagestamps graph balancedternary		https://dfns.dyalog.com/n_stamps.htm
num←{num←2} dfns.root num	⍺'th root	Dfn	Function		Mathematical	defaultleftargument ⍺throot		https://dfns.dyalog.com/n_root.htm
nums←{signed←0} dfns.dec cvex	Decimal from hexadecimal	Dfn	Function		Data Conversion	decimalfromhex dec() converting change changing		https://dfns.dyalog.com/
rslt←{c←1} dfns.kball p	Relationship between point and k-ball	Dfn	Function		Mathematical	sphere hypersphere		https://dfns.dyalog.com/n_kball.htm
rslt←{cmp←1} dfns.pack4 image	Quad-tree packing	Dfn	Function		Storage	compression quadtree		https://dfns.dyalog.com/n_pack4.htm
rslt←{dirn←¯1} dfns.just chars	Justify text array	Dfn	Function		Text	justifytext aligntext string		https://dfns.dyalog.com/n_just.htm
rslt←{eval←1} dfns.lisp expr	Evaluator for a subset of Scheme	Dfn	Function		Text	closure Metacircular SICP lambdaexpression parser interpreter string		https://dfns.dyalog.com/n_lisp.htm
rvec←{exclude←⍬} dfns.refs ref	Vector of sub-space references	Dfn	Function		Array Properties	namespacereferences ⎕WX root-space rootspace list		https://dfns.dyalog.com/n_refs.htm
table←{opts←⍬} dfns.cmpx exprs	Approximate expression timings	Dfn	Function		System	performance expressioncomparison compare histogram ⎕ML time milliseconds speed commands consumption computing resources ]RunTime ]performance.runtime measure elapsed ms comparison tuning tune		https://dfns.dyalog.com/n_cmpx.htm
to←{dirn←1} dfns.polar fm	Polar from/to cartesian coordinates	Dfn	Function		Data Conversion	polarcoordinates cartesiancoordinates converting change changing		https://dfns.dyalog.com/n_polar.htm
tree←{trace←0} defn dfns.parse expr	Bunda-Gerth parse of expression ⍵	Dfn	Function		Text	parsing currying Bunda-Gerthparser bindingstrength BIDMAS BundaGerthparser apl expression string		https://dfns.dyalog.com/n_parse.htm
{⎕IO+⍵}J	Changing an index origin dependent argument to act as ⎕IO=0	Dfn	Monadic Function		Index Generation	change converting conversion		
{,⎕CSV ⍵ ⍬ 2}Dv	Numeric vector from text file with one number on each line	Dfn	Monadic Function		Data Conversion	fetch load numvec numbers list single simple	https://tio.run/##SyzI0U2pTMzJT///X@NRV5O6iZGegbqCuq5hqq4xkNY2StU2Utd81DfVLyA0RD2vNLdYr6SiRJ0LKPKobYJCtQ6Q4RwcpvCodysQr1EwqlVAqPr/HwA	
expr←vars dfns.unify expr expr ···	Unification of expressions	Dfn	Function		Mathematical	parsing polymorphism		https://dfns.dyalog.com/n_unify.htm
{⍵:X ⋄ Y}Bs	Ternary: if Bs then execute and return X else execute and return Y	Dfn	Monadic Function	Structure	Expression	conditionaloperator inlineiff ternaryiff ?:		
Xv{↑⍺⍵}Yv	Two-row matrix from two vectors (pad shorter vector)	Dfn	Monadic Function		Structural	table lists		
Ms{0 ⍺⊤⍵}N	Integer quotient and remainder (new leading length-2 axis) of N divided by Ms	Dfn	Dyadic Function		Mathematical	divisionremainder divide % divmod() residual fractional parts	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFaoNFB717nrUteRR79ZaBUMDBUNDBUMjBUPj//8B	
dfns.mmind ⎕A[?4⍴6]	Mastermind or “cows and bulls”	Dfn	Function		Mathematical	gameofcowsandbulls diversions REPL		https://dfns.dyalog.com/n_mmind.htm
{isolate} ⎕SE.Dyalog.Utils.repObj Y	String representation of array (without refs)	Dfn	Ambivalent Monadic Function, Dyadic Function		System	representing generate toexpression for show definition stringify serialise serialize serialisation serialization text value		
distribution←average + standard_deviation × dfns.NormRand (shape)	Random numbers with normal distribution	Dfn	Function		Mathematical	Gaussian distributed		https://dfns.dyalog.com/n_NormRand.htm
sref←{from←⎕THIS} dfns.up gens	Reference to ancestor space	Dfn	Function		System	parentspace ancestorspace namespacereferences blank		https://dfns.dyalog.com/n_up.htm
cvec←{maxcols←⎕PW} dfns.tree space	Display of namespace tree	Dfn	Function		System	workspace name-clashproblem nameclashproblem blank		https://dfns.dyalog.com/n_tree.htm
cvec←{path←⎕PATH} dfns.ncpath names	⎕path-aware ⎕NC	Dfn	Function		System	nameclassification extended⎕NC		https://dfns.dyalog.com/n_ncpath.htm
cvec←{time←⎕TS} dfns.timestamp cvec	Time-stamped message	Dfn	Function		Text	date string		https://dfns.dyalog.com/n_timestamp.htm
cmat←{space←⎕THIS} dfns.find string	Lines containing string(s) ⍵	Dfn	Function		Text	name-clashproblem stringsearch nameclashproblem		https://dfns.dyalog.com/n_find.htm
lvec←{cols←⎕PW} dfns.wrap cvec	Wrap word vector at ⍺ columns	Dfn	Function		Text	words linevector transitiveclosure list string		https://dfns.dyalog.com/n_wrap.htm
nvec←{tolerance←⎕CT} dfns.cfract numb	Continued fraction approximation of real ⍵	Dfn	Function		Mathematical	continuedfraction goldenmean fibonaccinumber		https://dfns.dyalog.com/n_cfract.htm
rats←{tolerance←⎕CT} dfns.rational nums	Rational approximation to real ⍵	Dfn	Function		Mathematical	rationalnumber Pi numberoftheBeast		https://dfns.dyalog.com/n_rational.htm
{⍵+⎕IO-1}J	Changing an index origin dependent argument to act as ⎕IO=1	Dfn	Monadic Function		Index Generation	change converting conversion		
{-⎕IO-⍵}J	Changing an index origin dependent result to be as ⎕IO=0	Dfn	Monadic Function		Index Generation	change converting conversion		
{⍵+~⎕IO}J	Changing an index origin dependent result to be as ⎕IO=1	Dfn	Monadic Function		Index Generation	change converting conversion		
{⊃⍞,⍵}Ds	Input of one character with default Ds	Dfn	Monadic Function		Text	prompt fallback string		
V←{rcols←1…} dfns.X M	Exact cover: Knuth's Algorithm X	Dfn	Function		Boolean/Logical	exactcover AlgorithmX exactcover gameofsudoku N-Queens pentomino NQueens		https://dfns.dyalog.com/n_X.htm
{⍵.##}Y	Reference to parent namespaces of objects Y	Dfn	Monadic Function		System	parents ancestors ancestry containers		
cvec←{prim supp} dfns.ssword (srce from into)	Approximate alternative to xutils ss	Dfn	Function		Text	ssxutils stringreplacement substitution string		https://dfns.dyalog.com/n_ssword.htm
cmat←{excl} dfns.fndiff (fna fnb)	Defined function differences	Dfn	Function		Text	functionsdifference comparefunctions string		https://dfns.dyalog.com/n_fndiff.htm
{cmds←''} dfns.hexdump file	Hex dump of native file	Dfn	Function		Native Files	hexadecimal macro nativefile destructiveassignment endian offsiderule		https://dfns.dyalog.com/n_hexdump.htm
{name}←{ref} dfns.ambiv namelist	Ambivalise traditional function	Dfn	Function		System	Ambivalize ambivalent tradfn		https://dfns.dyalog.com/n_ambiv.htm
{tape}←{tape} dfns.bf toks	Brainfuck	Dfn	Function		Text	turingcomplete lists hyperator 2-adicnumbers Turingtape 2adicnumbers vectors string		https://dfns.dyalog.com/n_bf.htm
Xs(¯1↓∘∊,¨)Yv	Xs-separated vector constructed from the vector of vectors Yv (which must be of depth 2)	Dfn	Ambivalent Monadic Function, Dyadic Function		Structural	.join() join-on from to delimited segmented string interpose intersperse interposing interspersing nested combine merge flat list strings character text joiner joining merging combining between interject inserting separated separator delimiter		
Av{⍵⌿⍨1+⍺}Y	Duplicate Y cells where indicated by Av	Dfn	Dyadic Function		Structural	replicate double items elements		
As{⊖⍣⍺⊢⍵}Y	Reverse Y on condition As	Dfn	Dyadic Function		Structural	conditional		
X{</⍋⍺⍵}Y	Is X lexically less than or equal to Y?	Dfn	Dyadic Function		Comparison	testif tao totalarrayordering notafter precedesorequivalentto ≼ ⊁ lexicographically	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUHfPyEtUVqm30H/V2P@rd9ah3a62CulN@kjoXXhVgQbgSkHr8KkA8BexqFBQe9c5VSFQoKUrMzMnMS1coLkhMTlVIzs9NLVZITCtJLVLIy0eT/f8fAA	
X{>/⍋⍺⍵}Y	Is X lexically greater than Y?	Dfn	Dyadic Function		Comparison	testif tao totalarrayordering after follows ≻ ⋠ ⋩ lexicographically succeeds	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUHfPyEtUVqu30H/V2P@rd9ah3a62CulN@kjoXXhVgQbgSkHr8KnAaoqCuoPCod65CokJJUWJmTmZeukJxQWJyqkJyfm5qsUJiWklqkUJePprs//8A	
X{</⍒⍺⍵}Y	Is X lexically greater than or equal to Y?	Dfn	Dyadic Function		Comparison	testif tao totalarrayordering notbeforefollowsorequivalentto ≽ ⊀ lexicographically	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUHfPyEtUVqm30H/VOetS761Hv1loFdaf8JHUuvCrAgnAlIPX4VYB4CtjVKCg86p2rkKhQUpSYmZOZl65QXJCYnKqQnJ@bWqyQmFaSWqSQl48m@/8/AA	
X{>/⍒⍺⍵}Y	Is X lexically less than Y?	Dfn	Dyadic Function		Comparison	testif totalarrayordering tao before precedes ≺ ⋡ ⋨ lexicographically	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUHfPyEtUVqu30H/VOetS761Hv1loFdaf8JHUuvCrAgnAlIPX4VeA0REFdQeFR71yFRIWSosTMnMy8dIXigsTkVIXk/NzUYoXEtJLUIoW8fDTZ//8B	
Xv{⍺[1+⍵]}B	Indexing two-element vector Xv with Boolean values B	Dfn	Dyadic Function		Selection	list binary base-2 base2		
M{⍵⊤⍨↑⍬⍺}N	Integer quotient and remainder (new leading length-2 axis) of all combinations of an element from N divided by an element from M	Dfn	Dyadic Function		Mathematical	divisionremainder divide % divmod() residual fractional parts	https://tio.run/##ATYAyf9hcGwtZHlhbG9n///ijpXihpAgMiAzIDQgNSA2IHvijbXiiqTijajihpHijazijbp9IDEw//8	
Cv{≢⍺⎕S 3⊢⍵}Dv	Count number of matches for PCRE regex Cv in Dv	Dfn	Dyadic Function		Text	regexp tally occurrences perlcompatibleregularexpression string regular expression	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtE9Q1Yso1YwzVqx91LnrUuwsoGPyod82jLiBna626b2ZxMQgVFGSqKyg86p2rkJJfmpSTqpuTWlKSWlT8/z8A	
nmats←{sreq←1} dfns.kt (rows cols)	Knight's Tour Chess Problem	Dfn	Function		Mathematical	chesspuzzle knight'stour knightstour graph treesearching diversions torus		https://dfns.dyalog.com/n_kt.htm
pnum←{fmt←1} (dfns.phinary) nums	Phinary representation of numbers ⍵	Dfn	Function		Mathematical	goldenmean goldenrectangle phinarynumber		https://dfns.dyalog.com/n_phinary.htm
{lines}←{defs←default} dfns.turtle cmds	Flying-turtle graphics	Dfn	Function		GUI	Turtlegraphics L-Systems fractal palindrome Flyingturtle polyhedron LSystems		https://dfns.dyalog.com/n_turtle.htm
Bv{⍺⍀⍺⌿⍵}Y	Replacing major cells of Y not satisfying Bv with prototypical cells	Dfn	Dyadic Function		Structural	blanks spaces 0s zeroes zeros fill substitute merge aamend replace update items elements indicate masking indicating zeroes falses falsehoods	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMgdAATELo6ke9ux71NoDInv2PerfWKqg75iZWZealK6pzoejBVKlhDJQw0dQwUjBXMLTQ1DBUMAPR//8DAA	
Xv(+/∧\⍤=)Yv	Count number of leading elements that are equal between two vectors of equal length	Dfn	Dyadic Function		Comparison	prefix matching onleft items start beginning match		
Xv(+/∧\⍤≠)Yv	Count number of leading elements that are unequal between two vectors of equal length	Dfn	Dyadic Function		Comparison	prefix different onleft items start beginning differ		
cmat←{⎕RL←2⊃⎕AI} dfns.maze shape	Kidz maze	Dfn	Function		Text	diversions indexedassignment kids children string		https://dfns.dyalog.com/n_maze.htm
{-/×⌿0 1⌽⍵}Nm	Determinant of two-row matrix	Dfn	Monadic Function		Mathematical	det() 2-row 2row |A| det(A) det(Nm) |Nm|		
{2⊥~2⊥⍣¯1⊢⍵}J	Bit-wise NOT for positive integers	Dfn	Monadic Function		Boolean/Logical	bitwise binary gate logicalnot logicalnegation logicalcomplement negate inverting inversion		
{⍵/1 0⍴⍨≢⍵}Jv	Alternating sequence of Jv[1] ones, Jv[2] zeros, Jv[3] ones, …	Dfn	Monadic Function		Boolean/Logical	1s 0s zeroes naughts falses falsehoods trues truths		
Av{⍵⌷⍨⊂⍒⍺}Y	Moving cells of Y indicated by Av to the start of Y	Dfn	Dyadic Function		Structural	conditional promote promotion items elements beginning leading		
hits←patn {w←'*'} dfns.match array	Find with wildcards	Dfn	Function		Text	globbing string		https://dfns.dyalog.com/n_match.htm
cmat←{marker←'*'} dfns.draw cmat	Draw over '*'s	Dfn	Function		Text	box-drawingcharacters diversions boxdrawingcharacters asciiart unicode linedrawingcharacters lines boxes string		https://dfns.dyalog.com/n_draw.htm
cmat←{dec←0 {cen←0}} dfns.disp array	Boxed sketch of nested array	Dfn	Function		Text	displayofarrays boxing Kumquat box-drawingcharacters nestedarray boxdrawingcharacters enclosed string		https://dfns.dyalog.com/n_disp.htm
lines←{tabs←0 {ctype←80}} dfns.getfile filename	Text file ⍵ as nested vector	Dfn	Function		Native Files	nativefile textfile Unicode list string		https://dfns.dyalog.com/n_getfile.htm
M{⎕DIV←1 ⋄ ⍺÷⍵}N	Avoiding division by zero error (gives zero)	Dfn	Dyadic Function		Mathematical	over ⁄		
crep←{dot←'·'} dfns.dots crep	Show dfn with “white dots”	Dfn	Function		Text	whitedots functionsformatting name-clashproblem stuff nameclashproblem string		https://dfns.dyalog.com/n_dots.htm
Iv{1@⍺{0}¨⍵}Y	Locate indices Iv in array Y	Dfn	Monadic Function		Boolean/Logical	indicate locations masking indicating		
{⍵=⍵.⍵⍵}Y	Is Y a root namespace?	Dfn	Monadic Function		System	testif root? own parent ancestor self-contained		
{⌽+⌿↑⌽¨⍵}Nv	Sum of list of polynomials with descending coefficients	Dfn	Dyadic Function		Mathematical	sumof		
{1=-/¨⍳2⍴⍵}Jv	Subdiagonal matrix of size Jv (n or m,n)	Dfn	Monadic Function		Mathematical	sub-diagonal	https://tio.run/##ASoA1f9hcGwtZHlhbG9n///ijpXihpB7MT0tL8Ko4o2zMuKNtOKNtX0gNiA3//8	
{¯1=-/¨⍳2⍴⍵}Jv	Superdiagonal matrix of size Jv (n or m,n)	Dfn	Monadic Function		Mathematical	super-diagonal	https://tio.run/##ASwA0/9hcGwtZHlhbG9n///ijpXihpB7wq8xPS0vwqjijbMy4o204o21fSA2IDf//w	
{⍉2⊥⍣¯1⊢0,⍳⍵}Js	All binary representations up to Js (truth table)	Dfn	Monadic Function		Boolean/Logical	matrix base-2 base2		
{∊⍕¨2⊥⍣¯1⊢⍵}Js	Binary format of decimal number Js	Dfn	Monadic Function		Text	base-2 base2 Boolean string		
{0::0 ⋄ 1⊣8⌶⍨⍵}Yv	Validate inverted table (character data as matrices)	Dfn	Monadic Function		Array Properties	validating validation of matrix checking for correctness	https://tio.run/##SyzI0U2pTMzJT/@vnpJZXJCTWKn@qG@qc6R6Slpesfp/IPtR2wSFagMrKwOFR90tCoaPuhZbPOrZ9qh3xaPerbUKGkYKJo96t6g7JikoOKekpqlrKmgYKhgBSXMFY00usvSrO6rDTfj/HwA	
Iv{~⍺⌿1⍴⍨⍴⍵}Y	Locate fill elements formed by replicating Y by Iv	Dfn	Dyadic Function		Boolean/Logical	fills indicate mask indication of paddings bitmask bit-mask		
{⍵⌿⍨1 0⍴⍨≢⍵}Y	Remove every second cell of Y	Dfn	Dyadic Function		Selection	filter even odd parity removing erasing erase eliminate eliminating delete deleting		
Iv{1@⍵⊢0⍴⍨2⍴⍺}Jv	Adjacency matrix of size Iv (n or m,n) from list of (a,b) arcs Jv	Dfn	Dyadic Function		Mathematical	connections table directed graph vector	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtE0wUzBWqDR0e9W591LXI4FHvlke9K4zA1K5aBQ1DBTNNDSMFc00NYwVDzf//AQ	
{⍵/⍨1,2≢⌿⍵}Yv	Remove consecutive duplicates from an ordered vector	Dfn	Monadic Function		Sets	list removing erasing erase eliminate eliminating delete deleting		
Is{⊃-//⍺ 1/¯2 ⍵}N	Is differences of differences of adjacents	Dfn	Dyadic Function		Mathematical	nth derivative deltas		
Iv{⍵⌷¨⍨⊂⊂⍺}Yv	Inverted Table Select: records Iv from inverted table Yv ((⊂Iv)⌷Y where Y is unverted Yv)	Dfn	Dyadic Function		Selection			
Iv{~⍺⍀1⍴⍨⍴⍵}Y	Locate fill elements formed by expanding Y by Iv	Dfn	Dyadic Function		Boolean/Logical	fills indicate mask indication of paddings bitmask bit-mask		
cmat←{gap←1 {max←⎕PW}} dfns.cols items	Multi-column display	Dfn	Function		Text	cells elements string		https://dfns.dyalog.com/n_cols.htm
Cv{0::⍎⍺ ⋄ ⍎⍵}Dv	Execute Alternate: Execute Dv but if it errors, execute Cv	Dfn	Ambivalent Monadic Function,Dyadic Function		System	⎕EA APL2		
{(⊂⍋⍵)⌷⍵}Y	Fast: Y sorted into ascending order	Dfn	Monadic Function	Performance	Mathematical	speed optimised optimized quick sort() up increasing sorting reordering ordering idiom		
{(⊂⍒⍵)⌷⍵}Y	Fast: Y sorted into descending order	Dfn	Monadic Function	Performance	Mathematical	speed optimised optimized quick sort() down decreasing sorting reordering ordering idiom		
Cv{⍎⍺,'←⍵'}Y	Assign values Y to names Cv	Dfn	Dyadic Function		System	assignment name-value names-values dynamic variable		
caps←{ack ign←'' ''} dfns.von chars	Capitalise first letters of names	Dfn	Function		Text	diversions capitalisation 1st string		https://dfns.dyalog.com/n_von.htm
{files}←{type←''} dfns.mp3 dirs	Create playlist(s) for music directories	Dfn	Function		Native Files	MP3(mediaplayer) mediaplayer(MP3) diversions		https://dfns.dyalog.com/n_mp3.htm
{size}←{term←2} dfns.putfile (fid rows)	Put rows to text-file	Dfn	Function		Native Files	nativefile textfile Unicode		https://dfns.dyalog.com/n_putfile.htm
{ok}←{opts←'q'} dfns.test script	Run test script: no news => good news	Dfn	Function		System	qualityassurance unittesting autoformat QA testing		https://dfns.dyalog.com/n_test.htm
{excl←'⍵'} dfns.wsdiff (wsa wsb)	Workspace differences	Dfn	Function		System	compareworkspaces name-clashproblem nameclashproblem		https://dfns.dyalog.com/n_wsdiff.htm
{1≥|-/¨⍳2⍴⍵}Jv	Tridiagonal matrix of size Jv (n or m,n)	Dfn	Monadic Function		Mathematical	tri-diagonal banded	https://tio.run/##AS0A0v9hcGwtZHlhbG9n///ijpXihpB7MeKJpXwtL8Ko4o2zMuKNtOKNtX0gNiA3//8	
{2≥|-/¨⍳2⍴⍵}Jv	Pentadiagonal matrix of size Jv (n or m,n)	Dfn	Monadic Function		Mathematical	penta-diagonal banded	https://tio.run/##AS0A0v9hcGwtZHlhbG9n///ijpXihpB7MuKJpXwtL8Ko4o2zMuKNtOKNtX0gNiA3//8	
{3≥|-/¨⍳2⍴⍵}Jv	Heptadiagonal matrix of size Jv (n or m,n)	Dfn	Monadic Function		Mathematical	hepta-diagonal banded	https://tio.run/##AS0A0v9hcGwtZHlhbG9n///ijpXihpB7M@KJpXwtL8Ko4o2zMuKNtOKNtX0gNiA3//8	
{16⊥¯1+⍵⍳⍨⎕D,⎕A}Dv	Convert from hexadecimal	Dfn	Monadic Function		Mathematical	frombase16 base-16 ₁₆ hex2dec dec() Conversion converting change changing		
Mv{⌽+⌿↑⌽¨⍺ ⍵}Nv	Sum of polynomials with descending coefficients	Dfn	Dyadic Function		Mathematical	additionof plus		
Mv{⌽-⌿↑⌽¨⍺ ⍵}Nv	Difference between polynomials with descending coefficients	Dfn	Dyadic Function		Mathematical	subtractionof minus		
((⌽∨⊖)1∊¨⍳)Jv	All-zero matrix of shape Jv with ones along edges	Dfn	Monadic Function		Structural	all-around along outline frame table 1s zeroes 0s zeros in middle	https://tio.run/##AS8A0P9hcGwtZHlhbG9n///ijpXihpAgKCjijL3iiKjiipYpMeKIisKo4o2zKSA0IDX//w	
X(+/(∧\≡⍤¯1))Y	Count number of leading major cells that match between two arrays of equal length	Dfn	Dyadic Function		Comparison	prefix matching onleft cells items start beginning equal		
X(+/(∧\≢⍤¯1))Y	Count number of leading major cells that differ between two arrays of equal length	Dfn	Dyadic Function		Comparison	prefix different onleft cells items start beginning unequal		
Av{⍵⌷⍨⊂⍒+\⍺}Y	Reverse order of partitions in Y as indicated by Av (Fast ∊⌽Av⊂Yv)	Dfn	Dyadic Function		Index Generation	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists major cells rows downgrade descending separated separator delimiter	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFQzA0BDKqn7Uu/VRz/ZHvSsedTU96p2kHfOod1etgnpiUnKKbkRklPr//wA	
Is{~0∊2</[⍺]⍵}N	Is N Strictly Increasing along axis Is?	Dfn	Dyadic Function		Mathematical	testif ascending? rising? up ordered? sorted? dimension		
Is{~0∊2≤/[⍺]⍵}N	Is N Non-decreasing along axis Is?	Dfn	Dyadic Function		Mathematical	testif ascending? rising? up ordered? sorted? dimension		
Is{~0∊2≥/[⍺]⍵}N	Is N Non-increasing along axis Is?	Dfn	Dyadic Function		Mathematical	testif descending? falling? down ordered? Nonincreasing? sorted? dimension		
Is{~0∊2>/[⍺]⍵}N	Is N Strictly Decreasing along axis Is?	Dfn	Dyadic Function		Mathematical	testif descending? falling? down ordered? Nondecreasing? sorted? dimension		
{0⎕JSON¨⍵⊆⍨⍵=⎕UCS 10}Dv	Convert JSON Lines text Dv to APL vector	Dfn	Monadic Function		Data Conversion	NDJSON .jsonl from JSONLines2APL javascriptobjectnotation import parse deserialise deserialize converting change changing string		
note←{new←⎕PW {old←⎕PW}} dfns.wrapnote note	Wrap text paras in note vect	Dfn	Function		Text	words linevector box-drawingcharacters boxdrawingcharacters string		https://dfns.dyalog.com/n_wrapnote.htm
{⍵ ⎕NPUT⍨⊂⎕SE⎕WG'Log'}Dv	Save Session log as file Dv	Dfn	Monadic Function		System	store dyalog transcript text scrollback scroll-back string		
X{0=40⎕ATX⍵:⍺ ⋄ ⍎⍵}Dv	Using default value X if Dv does not exist	Dfn	Dyadic Function		System	fallback missing variable		
Is{⍺↑⍵⍪⍺⌿¯1↑⍵}Y	Stretch Y to length Is repeating the last major cell as necessary	Dfn	Dyadic Function		Structural	elongate continue final element item		
{⍵/⍨~'  '⍷⍵}Dv	Remove multiple blanks	Dfn	Monadic Function		Text	consecutive spaces removing erasing erase eliminate eliminating delete deleting string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSqH/Vu1X/Uu6JOXUFB/VHvdiC3VkHdM00BBPLzcioVPEGs7LzUcgWFjPxyhZJ8IDcFRBQU5RekFimU5xelAHnFBYnJmXnp6v//AwA	
Cv{≢⍺⎕S 3⍠'ML'1⊢⍵}Dv	Does Dv have a match for regular expression Cv?	Dfn	Dyadic Function		Text	find has? match? contains? search testif string regex regexp		
X{(⊂1⎕JSON¨⍺)⎕NPUT⍵}Dv	Convert APL vector X to JSON Lines file Dv	Dfn	Monadic Function		Data Conversion	NDJSON .jsonl from APL2JSONLines javascriptobjectnotation export generate serialise serialize converting change changing string		
{(⍎⍵⎕NS⍬).⎕CY ⍵}Dv	Import workspace Dv into a namespace so an item can be called using wsname.name	Dfn	Monadic Function		System	load fetch get include from .dws		
{fns}←{space←⎕THIS} dfns.fnrepl (from to)	Function string replacement	Dfn	Function		Text	stringreplacement		https://dfns.dyalog.com/n_fnrepl.htm
{⎕D[1+⍉10⊥⍣¯1⊢⍵]}Jv	Zero-padded character matrix from vector of integers	Dfn	Monadic Function		Data Representation	rows with 0s zeroes zeros 0-padded fill	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSqgbRLtKH2o95OQ4NHXUsf9S4@tN7wUdeiR71bY2sVjA0VDBSMzA0t/v8HAA	
{⍵⌿⍨1,∨/2≢⌿⍵}Ym	Remove consecutive duplicate rows from ordered matrix Ym	Dfn	Monadic Function		Sets	table removing erasing erase eliminate eliminating delete deleting		
Is{⍺=-⍨/¨⍳2⍴⍵}Jv	Is-diagonal matrix of size Jv (n or m,n)	Dfn	Dyadic Function		Mathematical	general k-diagonal	https://tio.run/##ATMAzP9hcGwtZHlhbG9n///ijpXihpDCrzIge@KNuj0t4o2oL8Ko4o2zMuKNtOKNtX0gNiA3//8	
{⍵\⍨1 0⍴⍨⊃⌽⍴⍵}D	Spacing out text	Dfn	Monadic Function		Text	insert blanks expanded spaces string		
Av{⍵⌷⍨⊂⌽⍒+\⍺}Y	Reversal (⊖) of each subvector of Y indicated by Av (fast ∊⌽¨Av⊂Yv)	Dfn	Dyadic Function		Structural	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists reverse flip separated separator delimiter		
X{⍺.##=⍵.##}Y	Are X and Y sibling objects?	Dfn	Dyadic Function		Systems	testif siblings? sameparents		
Is{⍵⌿⍨0=⍺|⍳≢⍵}Y	Taking every Is'th major cell of Y	Dfn	Dyadic Function		Selection	nth element item		
Is{⍵⌿⍨0≠⍺|⍳≢⍵}Y	Remove every Is'th cell of Y	Dfn	Dyadic Function		Selection	filter item element removing erasing erase eliminate eliminating delete deleting		
X{⍵⌿⍨⍺∊⍨⊣/⍵}Ym	Rows of non-empty matrix Y starting with an element in X	Dfn	Dyadic Function		Selection	cell item table	https://tio.run/##SyzI0U2pTMzJT///P1fhUdsEIJ6o7pNflJqrrqCeWVBcCqJT8nPyi4B0cWYJkEzMTQVRyfl5xanJJaklpSCpxJTMgszi5My8dCAnNQeokOtR31SQgeqJqZn5peoK1Y96tz7q2f@od8Wj3l2POrpAjK7F@kDRWoXc//8B	
Iv{⍵⌷⍨⊂⍺∪⍳≢⍵}Y	Move major cells at positions Iv to the front/top	Dfn	Dyadic Function		Structural	index indices numbers bring promote element row item matrix table first	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFYwUqh/1bn3Us/1R74pHXU2Penc96lj1qHfzo85FQPFaBXWP1JycfPX//wE	
Av{≠\⍵\⍺≠¯1↓0,⍺}Bv	Compression vector Av for partitioned array indicated by Bv (Fast Av/⍨≢¨⊆⍨Bv)	Dfn	Dyadic Function		Boolean/Logical	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists replicate generate produce construct argument separated separator delimiter	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFQzAuPpR54KYR71bgXgXkHloveGjtskGOkBeLVjeAK4SiP//BwA	
Av{⍵[⍋⍺++\⍺]}Bv	1-rotate on each subvector of Bv indicated by Av (Fast ∊1⌽¨Av⊂Bv)	Dfn	Dyadic Function		Structural	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists rotating shifting cyclically separated separator delimiter	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFQzAEEJXP@rdGv2ot/tR7y5t7RggGVuroJ6YlJzi6uau/v8/AA	
{⌊0.5+(!⍵)÷*1}N	Derangement	Dfn	Monadic Function		Mathematical	[n!/e] ⌊n!/e⌉ !n dn n¡ subfactorial deMontmort number		
{1 0 1(,∘.∧)⍣⍵⊢1}Js	Cantor set iteration Js	Dfn	Monadic Function		Mathematical	fractal ternary middle third iterate iterating		
X{⍵↓⍨-⊥⍨⍵∊⍺}Yv	Remove elements in X from end of vector Yv	Dfn	Dyadic Function		Selection	trim trailing right cells items list ending removing erasing erase eliminate eliminating delete deleting		
X{⍵↓⍨⊥⍨⌽⍵∊⍺}Yv	Remove elements in X from beginning of vector Yv	Dfn	Dyadic Function		Selection	trim leading left cells items list start removing erasing erase eliminate eliminating delete deleting		
Cs{⍺←⎕UCS 10 ⋄ ∊⍺,¨⍵}Dv	Cs or linefeed-delimited character vector constructed from the vector of character vectors Dv (which must be of depth 2)	Dfn	Ambivalent Monadic Function, Dyadic Function		Structural	.join() join-on from to delimited segmented LF newline string VVtoSS interpose intersperse interposing interspersing nested combine merge flat list strings character text joiner joining merging combining between interject inserting separated separator delimiter		
{⌽@(1,≢⍵)⊢⍵}Y	Interchange first and last major cells	Dfn	Monadic Function		Structural	exchange swap head tail leading trailing elements items 1st start beginning ending		
Is{Y⌿⍨(⍋⍋⍵)∊⍺}Y	The Is smallest cells of Y in order of occurrence	Dfn	Dyadic Function		Selection	least items elements		
{⍵/⍨∨\⍵≠' '}Dv	Remove leading blanks	Dfn	Monadic Function		Text	remove delete spaces beginning start drop without removing erasing erase eliminate eliminating deleting string		
{⍵/⍨∨\⍵≠'0'}Dv	Remove leading zeroes	Dfn	Monadic Function		Text	remove zeros 0s trim left falses falsehoods start beginning removing erasing erase eliminate eliminating delete deleting string		
{⍵/⍨' '∨.≠⍵}Dm	Remove blank columns	Dfn	Monadic Function		Text	remove delete allspaces drop space without removing erasing erase eliminate eliminating deleting string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExRyE0sUQLSRgsWj3i3qQFpBIVFBAUwCaXUuqLrqR71b9R/1rlBXUH/UsULvUecCoEAtSPv//wA	
{⍵⌿⍨⍵∨.≠' '}Dm	Remove blank rows	Dfn	Monadic Function		Text	remove delete allspaces emptylines drop space without removing erasing erase eliminate eliminating deleting string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExRyE0sUQLSFgtGj3i3qCgpGCkCQCESJIIY6F1Sduq4unF39qHfro579j3pXgBgdK/QedS5QV1CvBRn2/z8A	
{(⎕NEW⊂'Clipboard').Text←⍵}D	Copy to Windows clipboard	Dfn	Monadic Function		System	cut put into		
{⍵⌷⍨⊂⍋⍒1 0⍴⍨≢⍵}Y	Perfect Ripple Shuffle	Dfn	Function		Structural	faro weave dovetail the technique zipper zipping merge merging interweave interweaving interleave interleaving shuffling meshing grade carddeck diversions riffleshuffle		
X(+/(∧\∘⌽≡⍤¯1))Y	Count number of trailing major cells that match between two arrays of equal length	Dfn	Dyadic Function		Comparison	suffix matching onright cells items end equal		
X(+/(∧\∘⌽≢⍤¯1))Y	Count number of trailing major cells that differ between two arrays of equal length	Dfn	Dyadic Function		Comparison	suffix different onright cells items end unequal		
Ms{¯2-/0,0⌈⍺-⍨+\⍵}Nv	FIFO stock Nv decremented by Ms	Dfn	Dyadic Function		Mathematical	first-in-first-out warehouse		
{,[¯1↓⍳≢⍴⍵]1/⍵}Y	Matricise (like ⍪ but preserves trailing instead of leading shape)	Dfn	Monadic Function		Structural	matrix table matrify Matricize start beginning ending		
(∪(⌿⍨)1≠⊢∘≢⌸)Y	Non-unique major cells	Dfn	Monadic Function		Sets	duplicated duplicates nonunique items elements	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0HnWs0njUs/9R7wpNw0edCx51LXrUMeNR56JHPTs0FdQTk4oSkxNTQJSi@v//AA	
{n=≢∪n|⍵+⍳n←≢⍵}Jv	Valid siteswap pattern?	Dfn	Monadic Function		Mathematical	testif juggling beat		
I{p÷⍨⌊0.5+⍵×p←10*⍺}N	Rounding N to I decimal places (Fast ⍎Is⍕N)	Dfn	Dyadic Function		Mathematical	precision speed optimised optimized quick banking banker's bank's (⍎⍕) ⍎⍤⍕ decimals		
{n⍪⍉↑⍵⍎¨n←⍵.⎕NL¯2}Ys	Convert namespace of column vectors into table (matrix with names in header row)	Dfn	Monadic Function		Data Conversion	headings labels object	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSq8x71rnrU2/mobeKj3q2PevsOrcgDigPZekAVfj6H1hvVKgBZXsH@furVSo7pqUpW0UpGhko6SsZGSrE6Sn6JuWAhp/wkoFhwYk5OJUg4KrMgOT8FLGNsYGhgBJQzMTYwMFSKrVX//x8A	
I{⍵⌷⍨⊂⍺~⍨⍳≢⍵}Y	Major cells of Y except those enumerated in I	Dfn	Dyadic Function		Selection	elements items without positions removing erasing erase eliminate eliminating delete deleting remove indices at drop		
Av{⍵⌷⍨⊂⍋⍺++\⍺}Y	Rotate first major cells (1⊖) of each subvector of Y indicated by Av (fast ∊1⌽¨Av⊂Yv)	Dfn	Dyadic Function		Structural	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists shift separated separator delimiter		
I{⍵[⍋⍵[;⍺];]}Ym	Sort rows of matrix Ym according to column(s) I	Dfn	Dyadic Function		Mathematical	sort() sortby() table sorting reordering ordering specific columns		
Is{,⌿1+⍵⊤⍺?×/⍵}Jv	Deal: Is random items from ⍳Jv (without replacement)	Dfn	Dyadic Function		Index Generation	distinct cells elements remove multi-dimensional high-rank indices removing erasing erase eliminate eliminating delete deleting	https://tio.run/##SyzI0U2pTMzJT///qHeugnNOZnK2wqPmuY/6tyqU5Cukp@alFiWWpCrkpZYr5JXmJqUWFf9/1Df1UdsEBUNjhWqdRz37DbUf9W591LXkUe8u@8PT9YGcWhOg5P//AA	
svec←{shape←⍬⍴(⍴⍵)*÷2} dfns.sudoku prob	Solution vector for Sudoku problem ⍵	Dfn	Function		Mathematical	diversions gameofsudoku YouTube list		https://dfns.dyalog.com/n_sudoku.htm
{' '∧.=X←⍞:⍵ ⋄ X}Y	Return default value Y if input is empty	Dfn	Monadic Function		System	prompt fallback		
{⍵/⍨2∨/0,' '≠⍵}Dv	Remove leading and multiple blanks	Dfn	Monadic Function		Text	trim spaces left consecutive start beginning removing erasing erase eliminate eliminating delete deleting string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0FKof9W7Vf9S7wuhRxwp9Ax11BfVHnQuAYrUK6gpg4JkGpvLzcioVPEGs7LzUcgWFjPxyhZJ8IDcFRBQU5RekFimU5xelAHnFBYnJmXnpIMXqCpo6Cup66v//AwA	
{⍵↓⍨-⊥⍨' '=⍵}Dv	Remove trailing blanks	Dfn	Monadic Function		Text	delete spaces drop ending without removing erasing erase eliminate eliminating deleting string		
defns←{names←0 {list←0 {space←⎕THIS}}} dfns.defs namelist	Extended ]defs	Dfn	Function		System	display latebinding ⎕NC		https://dfns.dyalog.com/n_defs.htm
X{r←⍵ ⋄ r←r⊣'r'⎕NS¨⍺}Ys	Merge members of namespaces X into namespace Ys	Dfn	Dyadic Function		System	combine		
{2⎕NQ⎕SE'FileRead'⊣⎕SE⎕WS'File'⍵}	Load Session configuration (including ]box and ]rows settings) from file Dv	Dfn	Monadic Function		System	RIDE get retrieve dyalog .dse restore settings ]boxing ]output.boxing ]output.rows		
{2⎕NQ⎕SE'FileWrite'⊣⎕SE⎕WS'File'⍵}Dv	Save Session configuration (including ]box and ]rows settings) as file Dv	Dfn	Monadic Function		System	RIDE put store dyalog .dse permanent keep settings ]boxing ]output.boxing ]output.rows make persistent		
{(∨\' '≠⍵)/⍵}Dv	Fast: Dv without any leading blank spaces	Dfn	Monadic Function	Performance	Text	speed optimised optimized quick trim left-align leftalign blanks start beginning remove removing erasing erase eliminate eliminating delete deleting idiom string		
Cv{⍺⎕S'&'⍠'OM'1⊢⍵}Dv	Find all matches (even overlapping) for regex Cv in Dv	Dfn	Dyadic Function		Text	occurrences	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUE/XUFaof9e4C8oPV1dQf9S5Q9/dVN3zUtehR79ZaoHxSYmKy@v//AA	
Cv{⍺⎕S'%'⍠'ML'1⊢⍵}Dv	grep: Globally search Dv with regular expression Cv and print first occurrence	Dfn	Dyadic Function		Text	find string regex regexp		
{,⊃∘.+/⍵⍴⊂¯1+⍳10}Is	Sum of digits of the first 10*Is numbers	Dfn	Monadic Function		Mathematical	sod()		
Is{a[27|⍺+⍵⍳⍨a←27↑⎕A]}D	Caesar's cipher for uppercase D (Is:encryption, -Is:decryption)	Dfn	Dyadic Function		Text	julius obfuscation obfuscate rotate rotation encrypting decrypting cypher shift code rot13 string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFaoTo43Max717tJ@1Lv1Ue/mR70rEoEyRuaP2iYCFTnG1iqoe7j6@Pirc0H1HFpPnC5vD3//IPX//wE	
Iv{⍺⌷⍨∘⊂⍨⍣⍵⍳≢⍺}Js	Permutation Iv to the power of Js	Dfn	Dyadic Function		Index Generation	repeated		
{(⊢÷⊃)⌽+\0,⍳⍵}Js	Outstanding balances on rule of 78s	Dfn	Monadic Function		Mathematical	sum-of-the-digits method		
Ms{⍵+.×⍨⍺*¯1+⍳≢⍵}Nv	Value of polynomial with coefficients Nv at point Ms	Dfn	Dyadic Function		Mathematical			
{∊(1⎕JSON¨,⊆⍵),¨⎕UCS 10}Y	Convert APL vector Y to JSON Lines text	Dfn	Monadic Function		Data Conversion	NDJSON .jsonl from APL2JSONLines javascriptobjectnotation export generate serialise serialize converting change changing string		
{⍵/⍨2∨/0,⍨' '≠⍵}Dv	Remove multiple and trailing blanks	Dfn	Monadic Function		Text	trim right consecutive spaces ending removing erasing erase eliminate eliminating delete deleting string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSqH/Vu1X/Uu8LoUccKfQMdIEtdQf1R5wKgcK2CugIYeKaBqfy8nEoFTxArOy@1XEEhI79coSQfyE0BEQVF@QWpRQrl@UUpQF5xQWJyZl46SLH6//8A	
{⍵⌽⍨+/∧\' '=⍵}D	Justifying left	Dfn	Monadic Function		Text	leftalign left-align string		
Av{¯2-⌿0⍪(1⌽⍺)⌿+⍀⍵}N	Sum (+/) of each subvector of N indicated by Av (fast +/¨Av⊂Nv)	Dfn	Dyadic Function		Mathematical	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists major cells rows reduce reductions separated separator delimiter		
Av{2<⌿0⍪(1⌽⍺)⌿+⍀⍵}N	Any-true or any-positive (∨/×) of each subvector of non-negative N indicated by Av (fast ∨/¨Av⊂×Nv)	Dfn	Dyadic Function		Mathematical	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists major cells rows reduce reductions separated separator delimiter		
Av{2=⌿1⍪(1⌽⍺)⌿=⍀⍵}B	Reverse parity (=⌿) in each subvector of B as indicated by Av (fast =/¨Av⊂Bv)	Dfn	Dyafic Function		Boolean/Logical	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists major cells rows reduce reductions separated separator delimiter		
Av{2≠⌿0⍪(1⌽⍺)⌿≠⍀⍵}B	Parity (≠⌿) in each subvector of B indicated by Av (fast ≠/¨Av⊂Bv)	Dfn	Dyafic Function		Boolean/Logical	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists major cells rows reduce reductions separated separator delimiter		
Ms{⍵×⍺÷⍵[⊃⍒|⍵]}Nv	Scale Nv so the maximum element is Ms	Dfn	Dyadic Function		Mathematical	clamp rescale adjust largest highest biggest normalise normalize	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtE0wVqh/1bj08/VHvrsPbgazoR13Nj3on1QCZsbUKh9YbAbHh//8A	
{⍵/⍨∨\' '∨.≠⍵}Dm	Remove leading blank columns	Dfn	Monadic Function		Text	remove delete allspaces drop start beginning space without removing erasing erase eliminate eliminating deleting string		
{⍵⌿⍨∨\⍵∨.≠' '}Dm	Remove leading blank rows	Dfn	Monadic Function		Text	remove delete allspaces drop start beginning space without removing erasing erase eliminate eliminating deleting string		
{⍵[⍋⍵+.≠' ';]}Dm	Sorting words in list Dm according to word length	Dfn	Monadic Function		Text	vector string		
Is{⍵⌿⍨(⍋⍒⍵)∊⍳⍺}Y	The Is largest cells of Y in order of occurrence	Dfn	Dyadic Function		Selection	biggest greatestif items elements		
{2∨/0,≠\⍵=''''}Dv	Locations of texts between and including quotes	Dfn	Monadic Function		Text	strings string		
{2∧/0,≠\⍵=''''}Dv	Locations of texts between and excluding quotes	Dfn	Monadic Function		Text	strings string		
{0⎕JSON¨(⊃⎕NGET⍵1)~⊂''}Dv	Convert JSON Lines file Dv to APL vector	Dfn	Monadic Function		Data Conversion	NDJSON .jsonl from JSONLines2APL javascriptobjectnotation import parse deserialise deserialize converting change changing string		
Is{(-⍺)↑(99⍴1),⍴⍵}Y	Increase rank of Y to Is	Dfn	Dyadic Function		Structural	number dimensions pad axes		
Is{⍵⍪(⍺-≢⍵)⌿¯1↑⍵}Y	Extending Y with last cell of Y to length Is	Dfn	Dyadic Function		Structural	filling enlongating item element		
X{⍺⌿⍨(≢⍵)≥⍵⍳⍺}Y	Intersection (∩) on major cells for any rank	Dfn	Dyadic Function		Sets	setand higher high-rank any-rank highrank anyrank items elements		
Xv{(≢⊃⍵)≥⍵(8⌶)⍺}Yv	Inverted Table Member of (X∊⍥↓Y where X and Y are unverted Xv and Yv)	Dfn	Dyadic Function		Sets			
Cv{~⍺'$'⎕S 3⍠'ML'1⊢⍵}Dv	Indicate which lines of Dv have a match for regular expression Cv	Dfn	Dyadic Function		Text	find has? match? contains? search testif string regex regexp mask Boolean	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTU9fLVFarrHvXuUldRB4oFKxg/6l2g7uujbvioa9Gj3q21CuoeqTk5QFXq5flFOSlAOiO/HEgmFqUCycr8UvX//wE	
{⍵⌷⍨⊂0~⍨⊢/0,⊢⌸⍵}Y	Modes: most frequently occuring major cells	Dfn	Monadic Function		Set	items elements average		
kmap←{xk←(⊂,⊂∘kind)⎕NL-⍳10} dfns.kk fnop	Kind Koloring of d-fnop named ⍵	Dfn	Function		Text	namecolouring coloring Kolouring parsing Bunda-Gerthparser polymorphism selfie BundaGerthparser coloring tokens types syntax syntactic string		https://dfns.dyalog.com/n_kk.htm
{0::⎕DMX⊣⎕DMX.(⎕EX⎕NL)2 ⋄ .}Y	New root namespace (Y is ignored)	Dfn	Monadic Function		System	own parent ancestor self-contained		
Iv{⍵/⍨~⍺∊⍨⍳⊃⌽⍴⍵}Y	Remove columns Iv from array Y	Dfn	Dyadic Function		Selection	except without butnot remove removing erasing erase eliminate eliminating delete deleting		
Av{⍵⌷⍨⊂1⌈⌈\⍺×⍳≢⍺}Y	Copying each cell of Y until before next 1 in Av	Dfn	Dyadic Function		Selection	item element		
Mv{⍺+2-⌿⌈⍀0⍪+⍀⍺-⍵}Nv	Work done for demand N with capacity M	Dfn	Dyadic Function		Mathematical	orders capacities production supply demands supplies		
{(⎕D,⎕A)[1+16⊥⍣¯1⊢⍵]}Js	Convert to hexadecimal	Dfn	Monadic Function		Mathematical	tobase16 base-16 ₁₆ dec2hex hex() Conversion converting change changing		
A{m+⍺⌈.×⍨⍵-m←⌊/⍵}Nv	Maxima of elements of subsets of Nv specified by A (one mask per column)	Dfn	Dyadic Function		Mathematical	major cells rows items indicate masking indicating bitmask bit-mask		
Xv{⊃⍪/1↓,(⊂⍺),⍪⍵}Yv	Join vector of vectors Yv using separator Xv	Dfn	Dyadic Function		Structural	text with using strings list joiner combiner joining combining merge merging string segmented separated delimiter		
Is{1↓⍵/⍨⍺=+\⍵=⊃⍵}Yv	The Is'th subvector of Yv (subvectors separated by Yv[1])	Dfn	Dyadic Function		Selection	segmented separator delimiter		
Is{1↓⍵/⍨⍺=+\⍵=⊃⍵}Dv	Extracting field number Is from Dv (field separated by first element of Dv)	Dfn	Dyadic Function		Text	select pick partitionedvector segmentedstring index cell item 1st string segmented separator delimiter		
Ms{⍺←0 ⋄ ⍺,⍨⍵÷⌽⍳≢⍵}Nv	Integral of polynomial Nv with descending coefficients and optional constant Ms	Dfn	Ambivalent Monadic Function, Dyadic Function		Mathematical	firstintegral integrate		
Is{⊃⍺⎕DT⊢/'-: T.'⎕VFI⍵}Dv	Convert Extended ISO date ('1234-05-06 10:20:30.456' or '1234-05-06T10:20:30.456' or prefix thereof) to ⎕DR type Is	Dfn	Dyadic Function		Data Conversion	dateparsedateconverting SS-ISO8601:2006-09 ISO-8601:2006-09 PN-90/N-01204 GB/T 7408-2005 KS NP EN 28601 CAN/CSA-Z234.4-89 (R2007) DS/ISO-8601:2005 LST datetime date-time change changing string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAVJibp4K6kYKukcKh9UbqXFAJdR11uKSxnqWOkZ6Jjo65mY76//8A	https://help.dyalog.com/latest/#Language/System%20Functions/vfi.htm
Xv{(⊂⍺)∊⌽∘⍵¨⍳≢⍵}Yv	Are circular lists Xv and Yv identical (excluding phase)	Dfn	Dyadic Function		Comparison	testif vectors same? equivalent? equal?		
Ms{⍵⍀⍨(⌈⍺)≠⍳1+≢⍵}Y	Adding an empty cell into Y at fractional position Ms	Dfn	Monadic Function		Structural	expand insert item element		
Is{(+/[⍺]÷⍺⊃⍴)⍵}N	Average (mean value) of elements of N along direction Is	Dfn	Monadic Function		Mathematical	arithmeticmean() AM() avg() axis dimension cells items		
I{⍵⊂[1]⍨(≢⍵)⍴⍺↑1}Y	Cut Y into partitions of length I (last partition can be shorter)	Dfn	Dyadic Function		Structural	chop split separate chunks segments non-overlapping nonoverlapping windows infixes infix-scan		
Av{⍵[⍋(+\⍺)-1⌽⍺]}Bv	¯1-rotate on each subvector of Bv indicated by Av (Fast ∊¯1⌽¨Av⊂Bv)	Dfn	Dyadic Function		Structural	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists rotating shifting cyclically separated separator delimiter	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFQzAEEJXP@rdGv2ot1tDO@ZR7y5NXcNHPXuBjNhaBfXEpOQUVzd39f//AQ	
Mv{(⍵<⊃⍺)∨⍵≥⊃⌽⍺}N	Is N outside the range [ 1⌷Mv , 2⌷Mv )	Dfn	Dyadic Function		Comparison	testif numbers numeric >Y≥ >X≥ ≤M< ≤N< interval outsiderange?		
Mv{(⍵≥⊃⍺)∧⍵<⊃⌽⍺}N	Is N within the range [ 1⌷Mv , 2⌷Mv )	Dfn	Dyadic Function		Comparison	testif numbers numeric ≤Y< ≤X< ≤M< ≤N< interval inrange?		
Mv{(⍵≤⊃⍺)∨⍵≥⊃⌽⍺}N	Is Y outside the range ( 1⌷Mv , 2⌷Mv )	Dfn	Dyadic Function		Comparison	testif numbers numeric ≥Y≥ ≥X≥ ≥M≥ ≥N≥ interval outsiderange? exclusive		
Mv{(⍵≥⊃⍺)∧⍵≤⊃⌽⍺}N	Is N within the range [ 1⌷Mv , 2⌷Mv ]	Dfn	Dyadic Function		Comparison	testif numbers numeric ≤Y≤ ≤X≤ ≤M≤ ≤N≤ interval inrange? inclusive		
Mv{(⍵<⊃⍺)∨⍵>⊃⌽⍺}N	Is N outside the range [ 1⌷Mv , 2⌷Mv ]	Dfn	Dyadic Function		Comparison	testif numbers numeric >Y> >X> >M> >N> interval outsiderange? inclusive		
Mv{(⍵>⊃⍺)∧⍵<⊃⌽⍺}N	Is N within the range ( 1⌷Mv , 2⌷Mv )	Dfn	Dyadic Function		Comparison	testif numbers numeric <Y< <X< <M< <N< interval inrange? exclusive		
Mv{(⍵≤⊃⍺)∨⍵>⊃⌽⍺}N	Is N outside the range ( 1⌷Mv , 2⌷Mv ]	Dfn	Dyadic Function		Comparison	testif numbers numeric ≥Y> ≥X> ≥M> ≥N> interval outsiderange?		
Mv{(⍵>⊃⍺)∧⍵≤⊃⌽⍺}N	Is N within the range ( 1⌷Mv , 2⌷Mv ]	Dfn	Dyadic Function		Comparison	testif numbers numeric <Y≤ <X≤ <M≤ <N≤ interval inrange?		
I{(1++\' '=⍵)[⍺]}Dv	Ordinal numbers of words in Dv that indices I point to	Dfn	Dyadic Function		Index Generation	which		
I{⍉2⊥∨/2⊥⍣¯1⍉⍺,[0.5]⍵}J	Bit-wise OR for positive integers	Dfn	Dyadic Function		Boolean/Logical	bitwise binary gate disjunction vel alternation Apq		
I{⍉2⊥∧/2⊥⍣¯1⍉⍺,[0.5]⍵}J	Bit-wise AND for positive integers	Dfn	Dyadic Function		Boolean/Logical	bitwise binary gate conjunction Kpq		
I{⍉2⊥</2⊥⍣¯1⍉⍺,[0.5]⍵}J	Bit-wise converse nonimplication for positive integers	Dfn	Dyadic Function		Boolean/Logical	bitwise binary gate Mpq cnimply		
I{⍉2⊥≤/2⊥⍣¯1⍉⍺,[0.5]⍵}J	Bit-wise implication for positive integers	Dfn	Dyadic Function		Boolean/Logical	bitwise binary gate materialconditional materialconsequence implies implying materialimplication therefore Cpq		
I{⍉2⊥=/2⊥⍣¯1⍉⍺,[0.5]⍵}J	Bit-wise XNOR for positive integers	Dfn	Dyadic Function		Boolean/Logical	bitwise binary gate materialbiconditional biimplication eqv nxor bothorneither both-or-neither exclusivenor materialequivalence Kroneckerdelta iff logicalequivalence Epq doubleimplying		
I{⍉2⊥≥/2⊥⍣¯1⍉⍺,[0.5]⍵}J	Bit-wise converse implication for positive integers	Dfn	Dyadic Function		Boolean/Logical	bitwise binary gate because if converseconditional Bpq reverseimplying cimply		
I{⍉2⊥>/2⊥⍣¯1⍉⍺,[0.5]⍵}J	Bit-wise nonimplication for positive integers	Dfn	Dyadic Function		Boolean/Logical	bitwise binary gate abjunction not butnot Lpq nimply		
I{⍉2⊥≠/2⊥⍣¯1⍉⍺,[0.5]⍵}J	Bit-wise XOR for positive integers	Dfn	Dyadic Function		Boolean/Logical	bitwise binary gate exclusivedisjunction eor exor Jpq		
I{⍉2⊥⍱/2⊥⍣¯1⍉⍺,[0.5]⍵}J	Bit-wise NOR for positive integers	Dfn	Dyadic Function		Boolean/Logical	bitwise binary gate peirce'sarrow quine'sdagger ampheck neithernor neither-nor jointdenial Xpq		
I{⍉2⊥⍲/2⊥⍣¯1⍉⍺,[0.5]⍵}J	Bit-wise NAND for positive integers	Dfn	Dyadic Function		Boolean/Logical	bitwise binary gate shefferstroke notand alternativedenial Dpq		
Ns{+/⍵××\1,⍺÷⍳¯1+≢⍵}Nv	Value of Taylor series with coefficients Nv at point Ns	Dfn	Dyadic Function		Mathematical			
Av{≠⍀b⍀2≠⌿0⍪⍵⌿⍨b←⍺∨⍵}Bv	Not leading zeroes (∨\) in each subvector of Bv indicated by Av (fast ∊∨\¨Av⊂Nv)	Dfn	Dyadic Function		Boolean/Logical	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists zeros 0s falses falsehoods start beginning scan separated separator delimiter		
{1↓∊':'@1∘⍕¨100+3↑3↓⍵}Jv	Date (⎕TS format) to hh:mm:ss	Dfn	Monadic Function		Text	timestamp 24-hour clock string		
Mv{¯2-⌿0⍪(2≠/⍺⍪0)⌿+⍀⍵}Nv	Sum elements of Nv marked by successive identicals in Mv	Dfn	Dyadic Function		Mathematical	partitioned segmented major cells rows items separated separator delimiter		
Iv{¯2-⌿0⍪(⊂+\⍺)⌷+⍀⍵}N	Sums over (+/) subvectors of N, lengths in Iv	Dfn	Dyadic Function		Mathematical	segmented partitioned sub-vectors separated separator delimiter		
{⍵/⍨⌽∨\⌽' '∨.≠⍵}Dm	Remove trailing blank columns	Dfn	Monadic Function		Text	all-space allspace empty remove trim right delete drop ending space without removing erasing erase eliminate eliminating deleting string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0FIwUDA0e9W5RBzKAIFEBAhIhLHUFTR0F9ZoadS64@upHvVv1H/WueNSz91HHihggpa6gDmTpPepcAJSqJdLA//8B	
Av{g[⍋(+\⍺)[g←⍋⍵]]}Y	Grade up (⍋) for sorting each subarray of Y indicated by Av	Dfn	Dyadic Function		Index Generation	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists major cells rows upgrade ascending separated separator delimiter		
Av{g[⍋(+\⍺)[g←⍒⍵]]}Y	Grade down (⍒) for sorting each subarray of Y indicated by Av	Dfn	Dyadic Function		Index Generation	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists major cells rows downgrade descending separated separator delimiter		
{s←0 ⋄ ⌈/{s⊢←0⌈s+⍵}¨⍵}Nv	Largest sum of any contiguous subvector	Dfn	Monadic Function		Mathematical	maximum subarray sublist sub-array sub-list sub-vector biggest highest kadane's kadanes algorithm runs		
Mv{×11○(⍵-1↓⍺)×+2-/⍺}Ns	Sign (side) of point Ns relative to bisections of complex plane by directed edges of Mv	Dfn	Dyadic Function		Mathematical	signum geometrical geometry	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMvA6tNwSShgrVh6cbGj6a3q3xqHerruGjtsmPendpHp6ubaSrD2TVKhh6GXCRrMkAWZMhVCMRNv3/DwA	
Iv{(¯1+⊃⍵)+?⍺⍴1--/⍵}Jv	Iv-shaped array of random numbers in range Jv[1]…Jv[2] (inclusively, with replacement)	Dfn	Dyadic Function		Index Generation	between integers		
Iv{(-⍺)↑¨↑∘⍵¨+\⍺}Y	Cut Y into partitions of lengths Iv	Dfn	Dyadic Function		Structural	chop split separate chunks segments non-overlapping nonoverlapping windows		
{⍵.((⊂,∘⊂⍎)¨⎕NL¯2)}Y	Extract name-value pairs from namespaces Y	Dfn	Monadic Function		Data Conversion	object unpack namevalue dictionary array contents converting change changing get names and their values		
X{l-(l←1+≢⍺)|⍵⍳⍨⊖⍺}Y	Last indices in X of major cells Y	Dfn	Dyadic Function		Index Generation	indexin indexof find locate positionof locating items elements location		
X{(-≢⍴⍺)↑(99⍴1),⍴⍵}Y	Increase rank of Y to rank of X	Dfn	Dyadic Function		Structural	conform align number dimensions pad axes		
X{(⊃0⍴⊂)@(∊∘⍺)⊢⍵}Y	Replacing elements of Y in set X with prototypical elements	Dfn	Dyadic Function		Structural	blanks spaces 0s zeroes zeros fill substitute merge aamend replace update cells items zeroes falses falsehoods		
X{⍺⌿⍨~(⍳≢⍺)∊⍺⍳⍵}Y	Without (~) on major cells for any rank	Dfn	Dyadic Function		Sets	butnot except setdifference setsubtraction setminus higher high-rank any-rank highrank anyrank items elements remove removing erasing erase eliminate eliminating delete deleting		
X{⍺⍪⍵⌿⍨(≢⍺)<⍺⍳⍵}Y	Union (∪) on major cells of any rank	Dfn	Dyadic Function		Sets	setor higher high-rank any-rank highrank anyrank items elements		
{⍵⊂⍤⊢⌸⍥,⍨+/↑⍳⍴⍵}Ym	Extract the anti-diagonals of a matrix (without wrap-around) as vector of vectors	Dfn	Monadic Function		Structural	table SW-NE extract collect select		
Ms{r×+\⍵÷r←×\1@1⍴∘⍺≢⍵}Nv	Accumulate deposits Nv at rate Ms	Dfn	Dyadic Function		Mathematical	accumulationof		
A{⍵∧s=⌈⍀⍺×s←+⍀2<⌿0⍪⍵}B	Trim groups of ones in B to begin only where first pointed to by a 1 in A	Dfn	Dyadic Function		Boolean/Logical	runs sequences chop limit indicated trues truths 1st contiguous		
{--⌿(2,≢⍵)⍴⍋⍋⍪⍨⍵}Y	Count of occurrences of the cells of Y	Dfn	Monadic Function		Sets	tally selfcount items elements		
{⌊2÷⍨(⍋⍋⍵)+⌽⍋⍋⌽⍵}Y	Cardinals Up (ranking, shareable)	Dfn	Monadic Function		Index Generation	ascendingcardinalnumbers		
{⌊2÷⍨(⍋⍒⍵)+⌽⍋⍒⌽⍵}Y	Cardinals Down (ranking, shareable)	Dfn	Monadic Function		Index Generation	descendingcardinalnumbers		
{(,⍵)/1+s⊤¯1+⍳×/s←⍴⍵}Jm	Changing connectivity matrix Jm to a connectivity list	Dfn	Monadic Function		Mathematical	graph connection table vector change converting conversion		
{⍵≢∪⍵:0⋄¯1*1⊥∊⍵<,\⍵}Jv	Levi-Civita symbol	Dfn	Monadic Function		Mathematical	even odd permutationsymbol antisymmetricsymbol anti-symmetricsymbol alternatingsymbol LC		
Mv{⍵+.×⍨(⍳≢⍺)⌽⍤0 1⌽⍺}Nv	Convolution	Dfn	Monadic Function		Mathematical	convolute		
Mm{⍺+.×⍣⍵(⍴⍴1,0⍨¨)⍺}Js	Matrix power: Mm raised to the power Js (even for negative Js)	Dfn	Dyadic Function		Mathematical	exponentiation matpow() ** raising ^		
Is{0 1↓(2↑1+⍺)⍕⍵∘.+,10*⍺}Jv	Format with leading zeroes for non-negative Jv in fields of width Is	Dfn	Dyadic Function		Data Conversion	pad fill align zeros 0s tostringify falses falsehoods start beginning converting change changing		
Cv{⍺←⊢ ⋄ r←⍺⎕NS⍬ ⋄ r⊣'r'⎕NS¨⍵}Y	Combine namespaces Y into a new namespace (optionally named Cv)	Dfn	Ambivalent Monadic Function, Dyadic Function		System	merge		
X{(⊃0⍴⊂)@(~∊∘⍺)⊢⍵}Y	Replacing elements of Y not in set X with prototypical elements	Dfn	Dyadic Function		Structural	blanks spaces 0s zeroes zeros fill substitute merge aamend replace update cells items zeroes falses falsehoods		
Av{⍵/⍨(+\⍵=⊃⍵)∊⍸⍺}Dv	Compress delimited string Dv (where the first character is the delimiter) using compression vector Av	Dfn	Dyadic Function		Text	SSCOMPRESS delimited segmented filterby / ⌿ replicate	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFQyAuPpR71b9R70rNLRjgCzbR13NQErzUUfXo94dj3p31Sqo62ekFqXqJ6XqpxQlpufnFav//w8A	
{⍵(⊢⍪∘.⍎)(⊃⍵).⎕NL¯2}Yv	Convert vector of record namespaces into table (matrix with names in header row)	Dfn	Monadic Function		Data Conversion	headings labels objects list	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSqH/Vu1XjUtehR76pHHTP0HvX2aQK5zUBRTT2gEj@fQ@uNahWALK9gfz/16Golx/RUJSslI0MlHSW/xFwQ2yk/CciJyixIzk8B8Y0NDA2MlGp1YGqNjRBqgxNzcipRVJsYGxgYKtXGqv//DwA	
X{⍎⍵,'⍺'⍴⍨' '∧.=⍵}Dv	Execution of expression Dv with default value X	Dfn	Dyadic Function		Expression	fallback		
{0⎕NCREATE⍠'Unique'1⍨(739⌶0),'/',⍵}Dv	Create and tie temporary file with pattern Dv (returns tie number)	Dfn	Monadic Function		System	generate avoid clash os operating system Path.GetTempFileName	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExRK8hRAVLUBkO/nHOTqGOL6qHeBemheZmFpqrrho94VGubGlo96thlo6qjrq@s86t1aq6Aer1eSW6DOBTXjUVczSLenn5s/0Lz//wE	
{⍵⌷⍨⊂⍋{(⎕C⍵)⍵}¨⍵}Y	Sorting Y in case-insensitive alphabetical order	Dfn	Monadic Function		Text	up increasing caseinsensitive reordering ordering string		
{(⎕SE.SALT.New'HttpCommand'('GET'⍵)).Run.Data}Dv	Download file from URL Dv	Dfn	Monadic Function		System	curl online internet http:// https:// wget fetch		
{⌿∘⍵¨↓⌽⍉2⊥⍣¯1⊢¯1+⍳2*≢⍵}Y	Powerset: All subsets of Y, including the empty set (0⌿Y) and Y itself	Dfn	Monadic Function		Sets	power-set all combinations	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSqH/Xsf9Qx41Hv1kMrHrVNftSz91Fvp9GjrqWPehcfWm/4qGsRkNR@1LvZSOtR5yKgsloFdUcnZxd1LvINMFYwetS7Rd0x0SnJOVn9/38A	
Av{~≠\z\2≠/0,~⍵/⍨z←⍺≥⍵}Bv	Cumulative all-true (∧\) in each subvectors of Bv indicated by Av (fast ∊∧\¨Av⊂Bv)	Dfn	Dyafic Function		Boolean/Logical	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists scan separated separator delimiter		
{(⊂⍋∊⍳∘≢¨⍵)⌷⊃⍪/⍵}Yv	Mesh major cells of elements of Yv	Dfn	Monadic Function		Structural	faro weave dovetail the technique zipper rippleshiffle riffleshuffle zipping merge merging interweave interweaving interleave interleaving shuffle shuffling meshing cyclically list high-rank higher-rank arrays	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSqNR51NT3q7X7U0fWod/OjjhmPOhcdWvGod6vmo57tj7qaH/Wu0gfyahXUE5OS1YGaXNQdnZxdXN3UuUg1QcNEwehR7xb1xMSkpOTklBR1TQ0jiIijo5OTuub//wA	
{-/+/×/[2](2 3⍴0 1 2 0 2 1)⌽↑⍵ ⍵}Nm	Determinant of three-row matrix	Dfn	Monadic Function		Mathematical	det() 3-row 3row det() |A| det(A) det(Nm) |Nm|		
X{⍺,[2÷⍨⌈/≢∘⍴¨⍺⍵]⍵}Y	Vectors as row matrices in catenation upon each other	Dfn	Dyadic Function		Structural	combine tables lists		
{⍵↓⍨-+/∧\⌽⍵∧.=' '}Dm	Remove trailing blank rows	Dfn	Monadic Function		Text	all-space allspace empty remove trim bottom delete drop ending space without removing erasing erase eliminate eliminating deleting string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExRyE0sUQLShgYLRo94t6goKRgpAkAhEiQpQoM4FVayuqwtnVz/q3fqobfKj3hW62vqPOpbHPOrZCxLqWK5nq66gXgsy@f9/AA	
Xv{⍵⌿⍨⍺∧.=⍨⍵↑[2]⍨≢⍺}Ym	Rows of matrix Ym starting with Xv	Dfn	Dyadic Function		Selection	table		
Mv{⍵+.×(⍺∘*÷!)¯1+⍳≢⍵}Nv	Taylor series at point Mv, coefficients Nv	Dfn	Dyadic Function		Mathematical			
Mv{⍵+.×⍨(⍳≢⍺)⌽⍤0 1+⌽⍺}Nv	Cross-correlation	Dfn	Monadic Function		Mathematical	crosscorrelation crosscorrelate cross-correlate		
{⍵+.×⍨(⍳≢⍺)⌽⍤0 1+⌽⍵}Nv	Auto-correlation	Dfn	Monadic Function		Mathematical	autocorrelation serialcorrelation auto-correlate serial-correlate		
{⍵⌿¨⍨⊂(⍳≢⊃⍵)=8⌶⍨⍵}Yv	Inverted Table Unique (∪Y where Y is unverted Yv)	Dfn	Monadic Function		Sets			
Xs{⍵@(1+⍳⍴⍵)⊢⍺⍴⍨2+⍴⍵}Y	Surround any-rank array Y with scalar Xs	Dfn	Dyadic Function		Structural	adding boxing frame framing padding layer all-around wrapper package packaging ndimensional n-dimensional block cuboid 3d-array 4d-array centered centred place in larger		
X{(⊂⍋∊⍳∘≢¨⍺ ⍵)⌷⍺⍪⍵}Y	Merge X and Y alternately	Dfn	Dyadic Function		Structural	faro weave dovetail the technique zipper zipping merging interweave interweaving interleave interleaving shuffle shuffling meshing		
{(+/∨\' '≠⌽⍵)↑¨↓⍵}Dm	Fast: A nested vector comprising simple character vectors constructed from the rows of Dm (which must be of depth 1) with trailing spaces removed	Dfn	Monadic Function	Performance	Text	dtb speed optimised optimized quick blanks lists ending split from table idiom matrix to removing string		
Xv{⍵[⍋(1+≢⍺)⊥⍺⍳⍉⍵;]}Ym	Sorting rows of Ym according to key Xv (alphabetising)	Dfn	Dyadic Function		Mathematical	alphabetizing order		
{⍺←⊃⌽⍵ ⋄ 1↓¨⍺(=⊂⊢)⍵}Dv	Vector of character vectors constructed from the character vector Dv where the first character is the delimiter	Dfn	Monadic Function		Structural	text split cut from to delimited segmented string SStoVV separated separator		
Av{(⍺/⍵)∧z/1⌽z←⍺/⍨⍺≥⍵}Bv	All-true (∧/) in each subvector of Bv indicated by Av (fast ∧/¨Av⊂Bv)	Dfn	Dyafic Function		Boolean/Logical	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists reduce reductions separated separator delimiter		
Av{(⍺⌿⍵)∧a⌿1⊖a←⍺⌿⍨⍵≤⍺}Bv	All elements true (∧⌿) on each subvector of Bv partioned by Av (fast ∧⌿¨Av⊂[1]Bv)	Dfn	Dyadic Function		Boolean/Logical	speed quick sub-vector major cells rows items ∧/¨Av⊂[1]Bv		
Av{(⍺⌿⍵)≥a⌿1⊖a←⍺⌿⍨⍵∨⍺}Bv	Any element true (∨⌿) on each subvector of Bv partitioned by Av (fast ∨⌿¨Av⊂[1]Bv)	Dfn	Dyadic Function		Boolean/Logical	speed quick sub-vector cell item ∨/¨Av⊂[1]Bv		
Ms{(+⌿(⍵*⍺)÷≢⍵)*÷⍺}N	Generalised mean	Dfn	Dyadic Function		Mathematical	x-mean xmean generalized power Hölder holder cubic		
{⍵/⍨(⊢∨≠\)⍵=''''}Dv	Extract text (including quotes) in expression	Dfn	Monadic Function		Text	strings string		
{⍵⌽⍨-⌊2÷⍨+/∧\' '=⌽⍵}Dm	Centering flush left character array	Dfn	Monadic Function		Text	centre align string		
Av{+⍀⍵-⍺⍀¯2-⌿0⍪⍺⌿+⍀¯1↓0⍪⍵}N	Cumulative sum (+⍀) in each subvector of N indicated by Av (fast ∊+\¨Av⊂Nv)	Dfn	Dyadic Function		Mathematical	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists major cells rows sums scan separated separator delimiter		
Av{≠⍀⍵≠⍺⍀2≠⌿0⍪⍺⌿≠⍀¯1↓0⍪⍵}B	Running parity (≠⍀) in each subvector of B indicated by Av (fast ∊≠\¨Av⊂Bv)	Dfn	Dyadic Function		Boolean/Logical	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists major cells rows parities scan separated separator delimiter		
X{⍺,[1+2÷⍨⌈/≢∘⍴¨⍺⍵]⍵}Y	Vectors as column matrices in catenation beneath each other	Dfn	Dyadic Function		Structural	combine tables lists		
{⍵/⍨¯1↓1,1(⊢∨⌽)' '∨.≠⍵}Dm	Remove duplicate blank columns	Dfn	Monadic Function		Text	remove delete allspaces repeated extraneous multiple drop space without removing erasing erase eliminate eliminating deleting string		
{⍵⌿⍨¯1↓1,1(⊢∨⌽)⍵∨.≠' '}Dm	Remove duplicate blank rows	Dfn	Monadic Function		Text	remove delete allspaces repeated extraneous multiple drop space without removing erasing erase eliminate eliminating deleting string		
{⍺←⎕UCS 10 ⋄ ↑1↓¨⍺(=⊂⊢)⍺,⍵}Dv	Character matrix constructed from the linefeed-separated character vector Dv (which must be of depth 1) padded with trailing spaces	Dfn	Ambivalent Monadic Function, Dyadic Function		Structural	text blanks format ⎕FMT ⍕ ending mix from table matrix to removing delimited segmented LF newline string SStoMAT separated separator delimiter		
Xv{⍺⌿¨⍨⊂(≢⊃⍵)<⍵(8⌶)⍺}Yv	Inverted Table Without (↑X~⍥↓Y where X and Y are unverted Xv and Yv)	Dfn	Dyadic Function		Sets			
X{⍎⍵,'←(⍺⍎''⎕NS'')⍵'}Dv	Change parent (##) of namespace Dv to be namespace X (ref or name)	Dfn	Dyadic Function		System	reparenting re-parenting adopting hierachy		
Av{=⍀⍵≠⍺⍀2≠⌿0⍪~⍺⌿=⍀¯1↓1⍪⍵}B	Cumulative reverse parity (=⍀) in each subvector B as indicated by Av (fast ∊=\¨Av⊂Bv)	Dfn	Dyafic Function		Boolean/Logical	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists major cells rows scan separated separator delimiter		
I{s×⌊0.5+⍵÷s←10*⍺-⍨⌈10⍟⍵+0=⍵}N	Rounding N to I significant digits (Fast ⍎(-Is)⍕N)	Dfn	Dyadic Function		Mathematical	precision speed optimised optimized quick banking banker's bank's (⍎⍕) ⍎⍤⍕ figures sigfigs sigdigs resolution significance		
Mv{⍵×2+.*∘÷⍨(⍺*2)+×⍨⍵÷2}Ns	Area of pyramid with height and width Mv and length Ns (excluding base)	Dfn	Dyadic Function		Mathematical	lengths bottom sides		
X{(⊥⍨∘⌽↓⍵↓⍨∘-⊥⍨)⍵∊⍺}Yv	Remove elements in X from beginning and end of vector Yv	Dfn	Dyadic Function		Selection	trim leading trailing left right cells items list start ending removing erasing erase eliminate eliminating delete deleting		
{,⍉2(⍴⍨⍴(⍳⍵)↑⍨*)⌈2⍟⍵}Js	Playing order in a cup for Js ranked players	Dfn	Monadic Function		Index Generation	single-elimination knockout sudden death tournament		
Iv{+⍀(1↑⍵),i⌿(¯2-⌿⍵)÷i←1+⍺}N	Interpolate Iv values between major cells of N	Dfn	Dyadic Function		Mathematical	fill items elements inserting interpolated		
{⍺←0⌈⊃⌈/⍵ ⋄ r←⍺⍴0 ⋄ r[⍵]+←1 ⋄ r}Yv	Inverse of monadic ⍸ with optional result shape as left argument	Dfn	Monadic Function		Boolean/Logical	truesat ⍸⍣¯1 inversion		
Iv{⍵⌷⍨⊂⌽⍒+\(⍳≢⍵)∊+\1,⍺}Y	Reversal (⊖) of subvectors of Y having lengths Iv	Dfn	Dyadic Function		Structural			
Is{0+.≠(10*⌽0,⍳⍺)∘.|⌊⍵×10*⍺}N	Number of decimals (up to Is) of elements of N	Dfn	Dyadic Function		Mathematical	digits cells items		
{,⍉3↑(⎕D,⎕A)[1+16 16⊤¯1+'UTF-8'⎕UCS ⍵]}Dv	Conversion of characters to hexadecimal byte representation	Dfn	Monadic Function		Data Conversion	ord() num() hex() utf8 converting change changing		
X{⍵⍴⍨(1⍴⍨-/≢∘⍴¨⍺⍵),⍴⍵}Y	Increasing rank of Y to rank of X	Dfn	Dyadic Function		Structural			
{⍵/⍨(∨\∧∘⌽∨\∘⌽)' '≠⍵}Dv	Remove leading and trailing blanks	Dfn	Monadic Function		Text	DLTB trim left right spaces start beginning ending removing erasing erase eliminate eliminating delete deleting string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSqH/Vu1X/Uu0LjUceKmEcdyx91zHjUsxfCAbE01RXUH3UuAKqqVVBXAAPPNDCVn5dTqeAJYmXnpZYrKGTklyuU5AO5KSCioCi/ILVIoTy/KAXIKy5ITM7MSwcpVv//HwA	
Av{(⍺/y)∧z/1⌽z←⍺/⍨⍺≥y←⍵=1⌽⍺}Bv	Only final one (</) in each subvector of Bv indicated by Av (fast </¨Av⊂Bv)	Dfn	Dyafic Function		Boolean/Logical	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists reduce reductions separated separator delimiter		
Av{(⍺≤⍵)>b\z<¯1↓1,z←⍵/⍨b←⍵≤⍺}Bv	Cumulative less than or equal scan on each subvector of Bv indicated by Av (Fast ∊≤\¨Av⊂Bv)	Dfn	Dyadic Function		Boolean/Logical	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists scan separated separator delimiter	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFQzAEEJXazzq3fWoc8mj3q2adkkxVTaH1hs@aptsqFMFVAsU1H/UuyIJwgSr2lUL1gjBQPL/fwA	
Av{(b∧⍺)⍱c⍀2<⌿0⍪(c←b∨⍺)⌿b←~⍵}B	Not first zero (≤\) in each subvector of B indicated by Av (fast ∊≤\¨Av⊂Bv)	Dfn	Dyadic Function		Boolean/Logical	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists major cells rows 0 scan separated separator delimiter		
Is{⍺⍴,⌿1+(,⍵)⊤⍺?⍥(×/)⍵}Jv	Deal: Iv-shaped array of random items from ⍳Jv (without replacement)	Dfn	Dyadic Function		Index Generation	distinct cells elements remove multi-dimensional high-rank indices removing erasing erase eliminate eliminating delete deleting		
{1⎕NQ(⎕NEW'Timer'(⊂'Event'('Select'⍵)))'Select'}Dv	Invoke system operation Dv (e.g. '[ThreadsResumeAll]')	Dfn	Monadic Function		System	trigger call [] enqueue magic builtin gui menubar under program control activate run execute evoke [action] built-in event action		
{⍵+.×⍨*○0J¯2×n÷⍨∘.×⍨¯1+⍳n←≢⍵}Nv	Discrete Fourier Transformation	Dfn	Monadic Function		Mathematical	DFT() analysis Cooley-Tukey	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSqH/Vu1dY7PP1R7wqtR9O7DbwOrTc6PD3v8HagwKOOGRCZQ@sNtR/1bs4DanjUuQioo1bBUMEoCyisYAAmgTjL6P9/AA	
X{⍺(R⍨⍳R←≢⍤⊢⍴∘⍋∘⍋⍺⍳⍪⍨)⍵}Y	Progressive index of (⍳) without replacement	Dfn	Dyadic Function		Index Generation	dyadiciota indexin indexof matchingpositionof find locatecorresponding PDI remove removing erasing erase eliminate eliminating delete deleting		
X{⍺(R⍨∊R←≢⍤⊢⍴∘⍋∘⍋⍺⍳⍪⍨)⍵}Y	Progressive member of (∊) without replacement	Dfn	Dyadic Function		Sets	dyadicepsilon isin membership containedin hascorresponding mathcingmemberof PDE remove removing erasing erase eliminate eliminating delete deleting		
Av{⍵⌷⍨⊂g[⍺/⍋(+\⍺)[g←⍋⍵]]}Y	Minimum (⌊/) in each subvector of Y indicated by Av (fast ⌊/¨Av⊂Yv)	Dfn	Dyadic Function		Mathematical	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists major cells rows smallest least minima reduce reductions separated separator delimiter		
Av{⍵⌷⍨⊂g[⍺/⍋(+\⍺)[g←⍒⍵]]}Y	Maximum (⌈/) in each subvector of Y indicated by Av (fast ⌈/¨Av⊂Yv)	Dfn	Dyadic Function		Mathematical	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists major cells rows greatest biggest largest maxima reduce reductions separated separator delimiter		
{(']'≢⊃⌽⍕⍵)⊣∘⍵.⎕DF⍵.⎕DF⎕NULL}Ys	Is object Ys named?	Dfn	Monadic Function		System	has name? ns namespace class interface	https://tio.run/##SyzI0U2pTMzJT///Xz0vMTc1Rf1R31S/4Ee9a7gS8/LzKnPzS4sVHrVNUIALAxkgfrWGeqz6o85Fj7qaH/XsfdQ79VHvVs1HXYsfdcwAsvSAqlzcEAyg5lAfn1oFsBWUGQF31v//AA	
{' ⎕'[1+↑⊢∘(≠\)\↓1⍴⍨2⍴2*⍵]}Js	Sierpiński triangle of size Js	Dfn	Monadic Function		Mathematical	Sierpinski		
{1+o-(m⌿o←⍋⍋⍵)[⍵⍳⍨⍵⌿⍨m←≠⍵]}Y	Occurrence Count: Enumerate each unique major cells separately	Dfn	Monadic Function		Index Generation			
Is{⍺←1 ⋄ ⍺÷⍨3⊃⎕AI-(⍎¨⍺⍴⊂⍵)⊢3⊃⎕AI}Dv	Milliseconds to execute Dv (or average of Is executions)	Dfn	Ambivalent Monadic Function, Dyadic Function		System	time speed performance		
{⊃{⍵[⍋⍺⌷⍨⊂⍵]}/⍵,⊂⍳≢⊃⍵}Yv	Inverted Table Grade Up (⍋Y where Y is unverted Yv)	Dfn	Monadic Function		Index Generation			
{n÷⍨⍵+.×⍨*○0J2×n÷⍨∘.×⍨¯1+⍳n←≢⍵}Nv	Inverse Discrete Fourier Transformation	Dfn	Monadic Function		Mathematical	iDFT() analysis Cooley-Tukey	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSq8w5vf9S74lHvVm29w9OBLK1H07sNvIwOT4dKdMyAiB9ab6j9qHdzHlDTo85FQPW1CkYKh9YbeQGxggGYNPEy@f8fAA	
{s⍴1@(1+s[1]⊥⍵-1)⊢0⍴⍨×/s←0 0+⌈/,⍵}Jm	Changing connectivity list Jm to a connectivity matrix	Dfn	Monadic Function		Mathematical	graph connection table vector change converting conversion		
Is(⊣{⍬(⊢↓⍨0=⍴)+⌿1 0⌽0,0 ⍺⊤⍵}⍣≡1⊥⊢)Jm	Sum of digit columns with carry	Dfn	Dyadic Function		Mathematical	addition columnsum infiniteprecision ripple		
{⍵⎕CY⍨(⎕NS⍬).(⎕NL-⍳9⊣⎕CY⍵)~#.⎕NL-⍳9}Dv	Copy contents of workspace Dv without overwriting existing objects	Dfn	Monadic Function		System	importing loading using use include including items otherworkspace protectedly safely without overwriting names fetching getting ⎕pcy ⎕pcopy )pcopy copying		
Is{⍺>⍵:0 ⋄ ⊃⌽1(+\×)⍣(⍵-⍺)⍨⍳⍺}Js	Count partitions of a set of Js objects into Is non-empty subsets: S(Js,Is)	Dfn	Dyadic Function		Mathematical	combinatorics ways Stirling numbers second kind 𝔖(n,k) 𝕾(n,k) segments		
{(⎕NS⍬)(⍎⊢⊣)⍕(⊣⌿⍵)'←↓⍉1↓⍵'}Ym	Convert table (matrix with names in header row) into namespace of column vectors	Dfn	Monadic Function		Data Conversion	headings labels object	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAlFewv59CtQaQ5Rf8qHeNpsaj3r5HXYsedS3WfNQ7VQNIP@rZ/6h3q6Y6UMOjtsmPejsNwdRW9VoFYwXjR71b1P0Sc1PVFdQd00FkVGZBcn4KiOWUnwQkjQyBhLGBoYERkA5OzMmpBPFBHBNjAwND9f//AQ	
I{⍉2⊥(-∨/0>b)⍪∨/2⊥⍣¯1⊢b←⍉⍺,[0.5]⍵}J	2's-complement bit-wise OR	Dfn	Dyadic Function		Boolean/Logical	bitwise binary gate disjunction vel alternation Apq 2s two's twos		
I{⍉2⊥(-∧/0>b)⍪∧/2⊥⍣¯1⊢b←⍉⍺,[0.5]⍵}J	2's-complement bit-wise AND	Dfn	Dyadic Function		Boolean/Logical	bitwise binary gate conjunction Kpq 2s two's twos		
I{⍉2⊥(-</0>b)⍪</2⊥⍣¯1⊢b←⍉⍺,[0.5]⍵}J	2's-complement bit-wise converse nonimplication	Dfn	Dyadic Function		Boolean/Logical	bitwise binary gate Mpq cnimply 2s two's twos		
I{⍉2⊥(-≤/0>b)⍪≤/2⊥⍣¯1⊢b←⍉⍺,[0.5]⍵}J	2's-complement bit-wise implication	Dfn	Dyadic Function		Boolean/Logical	bitwise binary gate materialconditional materialconsequence implies implying materialimplication therefore Cpq 2s two's twos		
I{⍉2⊥(-=/0>b)⍪=/2⊥⍣¯1⊢b←⍉⍺,[0.5]⍵}J	2's-complement bit-wise XNOR	Dfn	Dyadic Function		Boolean/Logical	bitwise binary gate materialbiconditional biimplication eqv nxor bothorneither both-or-neither exclusivenor materialequivalence Kroneckerdelta iff logicalequivalence Epq doubleimplying 2s two's twos		
I{⍉2⊥(-≥/0>b)⍪≥/2⊥⍣¯1⊢b←⍉⍺,[0.5]⍵}J	2's-complement bit-wise converse implication	Dfn	Dyadic Function		Boolean/Logical	bitwise binary gate because if converseconditional Bpq reverseimplying cimply 2s two's twos		
I{⍉2⊥(->/0>b)⍪>/2⊥⍣¯1⊢b←⍉⍺,[0.5]⍵}J	2's-complement bit-wise nonimplication	Dfn	Dyadic Function		Boolean/Logical	bitwise binary gate abjunction not butnot Lpq nimply 2s two's twos		
I{⍉2⊥(-≠/0>b)⍪≠/2⊥⍣¯1⊢b←⍉⍺,[0.5]⍵}J	2's-complement bit-wise XOR	Dfn	Dyadic Function		Boolean/Logical	bitwise binary gate exclusivedisjunction eor exor Jpq 2s two's twos		
I{⍉2⊥(-⍱/0>b)⍪⍱/2⊥⍣¯1⊢b←⍉⍺,[0.5]⍵}J	2's-complement bit-wise NOR	Dfn	Dyadic Function		Boolean/Logical	bitwise binary gate peirce'sarrow quine'sdagger ampheck neithernor neither-nor jointdenial Xpq 2s two's twos		
I{⍉2⊥(-⍲/0>b)⍪⍲/2⊥⍣¯1⊢b←⍉⍺,[0.5]⍵}J	2's-complement bit-wise NAND	Dfn	Dyadic Function		Boolean/Logical	bitwise binary gate shefferstroke notand alternativedenial Dpq 2s two's twos		
Av{⍵⌷⍨⊂z⍳⌈\z←⍋g[⍋(+\⍺)[g←⍋⍵]]}Y	Cumulative maximum (⌈⍀) in each subvector of Y indicated by Av (fast ∊⌈\¨Av⊂Yv)	Dfn	Dyafic Function		Comparison	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists major cells rows maxima scan separated separator delimiter		
Av{⍵⌷⍨⊂z⍳⌈\z←⍋g[⍋(+\⍺)[g←⍒⍵]]}Y	Cumulative minimum (⌊⍀) in each subvector of Y indicated by Av (fast ∊⌊\¨Av⊂Yv)	Dfn	Dyafic Function		Comparison	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists major cells rows minima scan separated separator delimiter		
Iv{⍺(≥∘(2⊃⊢,-)∧≤∘⊃)⍨-/¨⍳2⍴⍵}Jv	Iv (k or k₁,k₂) band matrix of size Jv (n or m,n)	Dfn	Dyadic Function		Mathematical	banded tridiagonal pentadiagonal heptadiagonal tri-diagonal penta-diagonal hepta-diagonal	https://tio.run/##AVMArP9hcGwtZHlhbG9n///ijpXihpAxIMKvMiB74o26KOKJpeKImCgy4oqD4oqiLC0p4oin4omk4oiY4oqDKeKNqC0vwqjijbMy4o204o21fSA1IDb//w	
{⍵ ⍵⍴⍋+\a/(≢a←1↓⌽2/⍳⍵)⍴,∘-⍨1⍵}Js	Number Spiral of order Js	Dfn	Monadic Function		Mathematical	rotation concentric rectangular rings eVolutes spirals & time	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSqH/VuVQDiR71bHvV2a8ck6ms86lyUCJQyfNQ2@VHPXiP9R72bgQo0gSp0HnXM0H3Uu8IQyK9VMP3/HwA	
Iv{⍵⍴⍨⍺×@(<∘0)⍨(×/⍴⍵)÷×/⍺~0}Y	Reshape (⍴) Y to shape Iv, allowing ¯1 to automatically determine missing length	Dfn	Dyadic Function		Structural	mold form dimension array autoshape axis		
Iv{(⍳(≢⍵)++/⍺)∊+\1+¯1↓0,⍺\⍨1⌽⍵}Bv	Expansion vector (left argument for \ or ⍀) to insert Iv[i] elements after i'th subvector (subvectors indicated by Bv)	Dfn	Dyadic Function		Structural	expand openup major cells rows items lists		
{⍺←⎕UCS 10 ⋄ 1↓(,1,⌽∨\⌽' '≠⍵)/,⍺,⍵}Cm	Linefeed-separated character vector constructed from the rows of Dm (which must be of depth 1) with trailing spaces removed	Dfn	Monadic Function		Structural	text dtb blanks lists ending split from table matrix to removing delimited segmented LF newline string segmented MATtoSS separated separator delimiter		
{r⊣{2|⍵:1+3×⍵ ⋄ ⍵÷2}⍣{1=r,←⍵}⍵⊣r←⍬}Js	Collatz sequence for positive integer Js	Dfn	Monadic Function		Mahtematical	hailstone series Ulam conjecture Kakutani's problem Thwaites Hasse's algorithm 3n+1 Syracuse wondrousnumber	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSqix51La42qnnUu9XKUNv48HQgQ@FRd4sCkD683aj2Ue/iakPbIh2gWqAIkLsVqL4IzFtTq2Bk/v8/AA	
Xv{'`\d+`'⎕R(⍕⍺⊃⍨∘⍎1↓¯1↓⍎∘'Match')⍵}Dv	Replace backtick-quoted (e.g. `1`) indices in Dv with elements from Xv	Dfn	Dyadic Function		Text	strings variable characters charvector charvecs interpolation substitution expansion template literals string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtE9R1FNQV1BXVFarVE2JStBPUgcJBGo96pz7q3fWoq/lR74pHHTMe9fYZPmqbfGg9iARygELqvoklyRnqmo96t9YqqHuk5uTkJxgmlOcX5aQkGCWo//8PAA	
Iv{(⍳+/Iv,Jv)∊+\1+¯1↓0,⍵\⍨(⍳+/Iv)∊+\Iv}Jv	Vector (Iv[1]⍴1),(Jv[1]⍴0),(Iv[2]⍴1),…	Dfn	Dyadic Function		Boolean/Logical	sequence list alternating bits 1s 0s ones zeros zeroes falses falsehoods trues truths		
Is{⍺>⍵:0 ⋄ ⊃⌽⊃(+\×)/1,⍨⌽⍺,/⍳⍵-1}Js	Count permutations of a set of Js objects that have Is cycles: s(Js,Is)	Dfn	Dyadic Function		Mathematical	combinatorics ways to permute disjoint Stirling numbers first kind		
Av{(⍋⍵++\⍺\2×⌈/|0,⍵)-⌈\⍺\¯1+⍸⍺}Nv	Grade up in each subvector of Bv indicated by Av (Fast ∊⍋¨Av⊂Nv)	Dfn	Dyadic Function		Index Generation	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists upgrade gradeup ascending separated separator delimiter	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFQzAEEJXazzq7X7Uu1VbO@ZR764Yo8PTH/V06NcY6ADFNHWBbLDwofWG2o96dwCZtQqGBgpGBgomBgrGBgqH1psCsSGIYf7/PwA	
{(⊢+.ׯ1*2</,∘0)(×\1,6⍴5 2)['IVXLCDM'⍳⍵]}Dv	Evaluate Roman numeral	Dfn	Monadic Function		Mathematical	to from decimal number romannumeral arabicnumerals latinnumeral		
Av{(1↓2-/0,z/⍳≢z←1,⍨⍺/⍨⍺∨⍵)-~⍺/⍵}Bv	Cumulative sum (+\) of each subvector of Bv indicated by Av (fast ∊+\¨Av⊂Nv)	Dfn	Dyafic Function		Mathematical	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists scan separated separator delimiter		
Is{+/((⊢×⍺÷⌈/)⍵-⌊/⍵)∘.≥¯1+⍳⍺}Nv	Classification of elements Nv into Is ranges of equal size	Dfn	Dyadic Function		Mathematical	classify buckets bin groups intervals cells items		
Is{⊃⍣(1=≡⍵)⊢20 ¯1⎕DT(¯1 20⎕DT⊆⍵)+3600⊥⍺,-/20⎕DT'ZJ'}J	Convert ⎕TS-style timestamps from local time zone to UTC+Is	Dfn	Dyadic Function		Data Conversion	TZ time-zone timezone Juliett adjust offset UTC- adjust time-stamp datetime date-time		
Is{⊃⍣(1=≡⍵)⊢20 ¯1⎕DT(¯1 20⎕DT⊆⍵)-3600⊥⍺,-/20⎕DT'ZJ'}J	Convert ⎕TS-style timestamps from UTC+Is to local time zone	Dfn	Dyadic Function		Data Conversion	TZ time-zone timezone Juliett adjust offset UTC- adjust time-stamp datetime date-time		
Is{((a×⌽)⍴2 1 3⍉⍵⍴⍨1⌽⍺,⊢)(⍴⍵)÷a←1,⍺}Ym	“Transpose” of matrix Ym with column fields of width Is	Dfn	Dyadic Function		Structural	fieldwidth table		
Mv{⍵⍀⍨~(⍳(≢⍺)+≢⍵)∊(⌊⍺)+⍳≢⍺}Y	Adding an empty cell into Y at fractional positions Mv	Dfn	Monadic Function		Structural	expand insert item element		
Av{(⍋⍵-⍨+\⍺\2×⌈/|0,⍵)-⌈\⍺\¯1+⍸⍺}Nv	Grade down in each subvector of Bv indicated by Av (Fast ∊⍒¨Av⊂Nv)	Dfn	Dyadic Function		Index Generation	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists downgrade gradedown descending separated separator delimiter	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFQzAEEJXazzq7X7Uu1X3Ue8K7ZhHvbtijA5Pf9TToV9joAMU1tQFssHCh9Ybaj/q3QFk1ioYGigYGSiYGCgYGygcWm8KxIYghvn//wA	
Iv{g⌷⍨⊂⍋(+\(⍳≢⍵)∊+\1,⍺)⌷⍨⊂g←⍋⍵}Y	Grade up (⍋) for sorting subarrays of Y having lengths Iv (≢Y ↔ +/Iv)	Dfn	Dyadic Function		Index Generation	sub-arrays sub-vectors subvectors substrings sub-strings		
Iv{g⌷⍨⊂⍋(+\(⍳≢⍵)∊+\1,⍺)⌷⍨⊂g←⍒⍵}Y	Grade down (⍒) for sorting subarrays of Y having lengths Iv (≢Y ↔ +/Iv)	Dfn	Dyadic Function		Index Generation	sub-arrays sub-vectors subvectors substrings sub-strings		
{'-- ::'@(2+3×⍳5)∊⍕¨(⊃,100+1∘↓)6↑⍵}Jv	Date and time (⎕TS format) to YYYY-MM-DD hh:mm:ss	Dfn	Monadic Function		Text	datetime ISO-8601:2006-09 ISO8601:2006-09 string		
{⍵⌷¨⍨⊂{⍵[⍋⍺⌷⍨⊂⍵]}/⍵,⊂⍳≢⊃⍵}Yv	Inverted Table Sort (Y[⍋Y;] where Y is unverted Yv)	Dfn	Monadic Function		Selection			
{⎕ED{2⎕FIX(⊢,⍵⊂⍨0=⍴)61⎕ATX⍵}⍣(0=≢60⎕ATX⍵)⊢⍵}Dv	Begin editing function/operator Dv and preserve whitespace	Dfn	Monadic Function		System	allow keeping text-as-typed save saving remembering white-spaces indents indentation code autoformatting auto-formatting layout custom text-as-is preservation source-as-typed		
Av{(x/⍵)≥(z/1⌽z←⍺/⍨⍺≥z)∧⍺/z←⍵∨x←1⌽⍺}Bv	Less than or equal reduction on each subvector of Bv indicated by Av (Fast ≤/¨Av⊂Bv)	Dfn	Dyadic Function		Boolean/Logical	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists reduce separated separator delimiter	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFQzAEEJXa1ToP@rdqvmoc6lGlb7ho569VUBFj3p3AUVXACmgeJXmo47lIBGIzNZHHSsqgCyQWqBoLdggCAaS//8DAA	
I{⍵⊂[1]⍨¯2-/0,(⌊1.5+l×⍺÷⍨¯1+⍳⍺)⍸⍳l←≢⍵}Y	Cut Y into I partitions of equal lengths (with even distribution of variation)	Dfn	Dyadic Function		Structural	chop split separate chunks segments justified		
M{⍺+⍵×(0.5*⍨¯2×⍟?0×⍺+⍵)×1○○2×?0×⍺+⍵}N	Normally distributed numbers with mean M and standard deviation N	Dfn	Dyadic Function		Mathematical	Gaussian distribution random normrand() randnorm() nrand() randn()		
Mv{⍵∊⍺:1 ⋄ (¯1∊×d)∨1<|+/⍟d←(⊢÷1∘⌽)⍺-⍵}Ns	Is Ns inside closed polygon Mv (using complex points)?	Dfn	Dyadic Function		Mathematical	testif contains		
Iv{1++\1+((⍳+/⍺)∊+\1,⍺)\⍵-¯1↓1,⍺+⍵}Jv	Vector (Jv[1]+⍳Iv[1]),(Jv[2]+⍳Iv[2]),(Jv[3]+⍳Iv[3]),… (≢Iv ↔ ≢Jv)	Dfn	Dyadic Function		Boolean/Logical	sequence list		
{+/∧∘⍉⍨∧/⍵[;a⍴1;]≤2 1 3⍉⍵[;2⍴⍨a←≢⍵;]}N	Number of areas intersecting areas in N (⍴N ↔ (n × 2 × dim))	Dfn	Monadic Function		Mathematical			
Is{r←+\⍵=d←⊃⍵ ⋄ 0<⍺:⍵/⍨r>⍺ ⋄ ⍵/⍨r≤⍺+⊃⌽r}Dv	Drop first Is (if negative: last |Is) segments from delimited string Dv where the first character is the delimiter	Dfn	Dyadic Function		Text	SSTAKE delimited segmented initial leading final trailing head tail ↓ dropping		
{¯1↓∊({(+/∨\' '≠⌽⍵)↑¨↓⍵}⎕FMT⍵),¨⎕UCS 10}Y	Turn Y into a character vector that looks visually like ⎕FMT Y	Dfn	Monadic Function		Text	string newlines print flattening flattened Data Conversion convert	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSKUotLc0oUQMzqQ@sNH7VNftTRpVGtoa3/qGNFjLqC@qPOBY969j7q3ar5qG3ioRUgBb1ba4G63XxDQKI6QLG@qaHOwQqGBrUKGqYKpo96twBFHDUVNMwUzEGc3s0mRppcUAsfdS4CikGs/f8fAA	
Cv{⍺←⊢ ⋄ {⍵⊣⍵⍎(⊃⍺),'←⊃⌽⍺'}/⍵,⍺⎕NS⍬}Yv	Create (optionally named Cv) namespace with name-value pairs Yv	Dfn	Ambivalent Monadic Function, Dyadic Function		Data Conversion	object new namevalue dictionary array converting change changing		
Cv{('\P{',⍺,'}')'.'⎕S 3⍠'Mode' 'D'⍠'DotAll'1⊢⍵}Dv	Do characters in Dv have Unicode property Cv?	Dfn	Dyadic Function		Text	Other? Cc? Control? Cf? Format? Cn? Unassigned? Co? Private? use? Cs? Surrogate? Letter? Ll? Lower? case? letter? Lm? Modifier? Lo? Lt? Title? Lu? Upper? M? Mark? Mc? Spacing? mark? Me? Enclosing? Mn? Non-spacing? N? Number? Nd? Decimal? number? Nl? No? P? Punctuation? Pc? Connector? punctuation? Pd? Dash? Pe? Close? Pf? Final? Pi? Initial? Po? Ps? Open? S? Symbol? Sc? Currency? symbol? Sk? Sm? Mathematical? So? Z? Separator? Zl? Line? separator? Zp? Paragraph? Zs? Space? string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUfdQVqjXUYwKq1XUe9e7SUa9V11TXUwfKBisYP@pdoO6bn5KqrqDuog7iuOSXOObkqBs@6lr0qHdrrYK6R2pOTr6OQnh@UU6Kovr//wA	
Cv{((⎕DL⌈2E¯6×≢⍺)⊢⎕NEW'HTMLRenderer'(('HTML'⍺)('Visible'0))).PrintToPDF⍵}Dv	Create PDF file named Dv with HTML/SVG content Cv	Dfn	Dyadic Function		Text	HyperText Markup Language XHTML Scalable Vector Graphics rendering printing portable document format printout hardcopy hard-copy create graphical		
{0=⍵:1 0⍴0 ⋄ ,[⍳2](⍒⍤1∘.=⍨⍳⍵)[;1,1+∇ ⍵-1]}Js	Numeric matrix of all permutations of length Js in lexicographical order	Dfn	Monadic Function		Mathematical	combinatorics sorted ordered without replacement list vector table pmat	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSqDWwf9W61MlQweNS7xUDhUXeLgk70o97NRrEaj3onPepdYvioY4YeUM0KoCBQpWa0taGOofajjnYFIE/XMLZWwfj/fwA	
{s⍴r[g[⍋(,⍉(⌽s←⍴⍵)⍴⍳≢⍵)[g←⍋r←,⍵]]]}Y	Sorting rows of matrix Y into ascending order (Fast (⊂∘⍋⌷⊢)⍤1)	Dfn	Monadic Function		Mathematical	ordering table		
Cv{(⊢/¨↓¨⍵⊂⍨1⍸⍣¯1⍤+⊃¨)('^|',⍺)⎕S 0 1⊢⍵}Dv	Split Dv at occurrences of PCRE regex Cv (removes separators and keeps empty segments)	Dfn	Dyadic Function		Text	regularexpression regexp pattern split() cut separate chop divide chunk dividing segments partitions string regular expression delimiters		
Is{⍋j+(i|⍺)[j←+\⍵]≥+\1-⍵\¯1↓0,i←i-¯1↓0,i←⍸1⌽⍵}Bv	Permutation vector for Is-rotate on each subvector indicated by Bv (Fast ∊Is⌽¨⍵⊂⍳≢Bv)	Dfn	Dyadic Function		Index Generation	quick speedy performance optimised optimized partitioned partitions segmented segments sub-vectors subvectors subarrays sub-arrays sub-lists sublists rotating shifting cyclically separated separator delimiter	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQKFECkkUL1o97uLG2NzJpHvbs0o7OAgtoxj3q3xj7qXKodY6gLZMYcWm/4qG2ygU4mUDJTF5n3qHeH4aOevUBFtQqGCgZQCGVxQW1ST0xKTkl1dHJ2UY8uiP3/HwA	
Iv{1(↑⌊⍵⌈↓)(2 2⍴¯1 1 1 ¯0.1)+.×10*(-⊃⌽⍺),-/⍺+⍺>99 0}N	Clamp non-negative N to fit in ⍕ field Iv[1 2]	Dfn	Dyadic Function		Text	limitrange format string		
X{⍺⌷⍨⊂(⍳≢⍺)~⍺(R⍨⍳R←≢⍤⊢⍴∘⍋∘⍋⍺⍳⍪⍨)⍵}Y	Progressive without (~) without replacement	Dfn	Dyadic Function		Sets	dyadictilde butnot withoutmatching exceptcorresponding setdifference setsubtraction setminus PDT remove removing erasing erase eliminate eliminating delete deleting		
X{⍺⌷⍨⊂(⍳≢⍺)∩⍺(R⍨⍳R←≢⍤⊢⍴∘⍋∘⍋⍺⍳⍪⍨)⍵}Y	Progressive intersection (∩) without replacement	Dfn	Dyadic Function		Sets	cap upshoe setand intersectionmatching intersectioncorresponding setintersection PDIS		
{#.(⎕CY⍵⊣⍵⎕CY⍨'⎕',¨⎕A(∊⍨⊂⊢)'LxSmTrapWsidTnameCtDivIoMlPpRlRtlWxUsingAvuDctFr'⊣⎕EX⎕NL-⍳9)}Dv	Load workspace Dv without executing ⎕LX	Dfn	Monadic Function		System	open fetch get safe latentexpression autoexec boot ⎕xload )xload		
Is{⍺|⊃⍵{0=⍵:1 0 ⋄ (⍵∇⍵|⍺)+.×0 1,⍪1,-⌊⍺÷⍵}⍺}Js	Multiplicative inverse of Js modulo Is (fast)	Dfn	Dyadic Function		Mathematical	extended euclidean algorithm modular modulus modinv() invmod() numbertheory arithmetic		
'`(''[^'']*''|[^`])*`'⎕R{⍕⍎1↓¯1↓⍵.Match}Dv	Replace backtick-quoted (e.g. `2+3`) expressions with their result	Dfn	Monadic Function		Text	strings variable characters charvector charvecs interpolation substitution expansion template literals string	https://tio.run/##SyzI0U2pTMzJT///P/FR2wRjrkd9U4G0gnqChrp6dJy6eqyWunpNdFxCrKZWgjpQMqj6Ue/UR719ho/aJh9aDyIf9W7V800sSc6oVVDPSM3JyU8w1E5MKM8vyklR//8fAA	
Cv{⊃⌽⊃(⊢⌈(⌈\(⍵=⊣)+0,¯1↓⊢))/(⌽⍺),⊂0⊣¨⍵}Dv	Length of longest common substring	Dfn	Dyadic Function		Text	match string		
Iv{⊂[2×⍳k](,s,⍪r)⍴⍵↑⍨r×s←⌈R÷r←1+(-k←≢R←⍴⍵)↑⍺-1}Y	Tesselate: Cut Y into tiles of size Iv (padding Y if necessary)	Dfn	Dyadic Function		Structural	partitioning tesselating tiling chopping splitting cutting separate separating chunking segmented segmenting subarrays sub-arrays subtables partitioned block-array dimensions blockarray separated separator delimiter	https://tio.run/##SyzI0U2pTMzJT///Xz0ls7hA/VHfVOdI9ZS0vGJ1LiD7UdsEBZC4gpGCsUL1o66maKPD0x/1bs6O1dAp1nnUu6pI81Hvlke9Wx@1TXzUu6Lo8PRioJZHPR1Bh7cXAVmG2hq62SCRzkVBIAqsVhOseJeuYa2CiYIpSKxvquP//wA	
{'+'@(⊂1 1)∘⌽∘⍉⍣4⊃(⍪∘⌽∘⍉)/'-|-|',⊂⍕⍵}Dm	ASCII frame a matrix	Dfn	Monadic Function		Text	border boxed enclosed table string		
Iv{⊂[¯1+2×⍳k](,s,⍪r)⍴⍵↑⍨r×s←⌈R÷r←1+(-k←≢R←⍴⍵)↑⍺-1}Y	Tesselate: Distribute Y's elements into evenly-sized tiles in an array of shape Iv (padding Y if necessary)	Dfn	Dyadic Function		Structural	partitioning tesselating tiling chopping splitting cutting separate separating chunking segmented segmenting subarrays sub-arrays subtables partitioned block-array dimensions blockarray separated separator delimiter	https://tio.run/##SyzI0U2pTMzJT///Xz0ls7hA/VHfVOdI9ZS0vGJ1LiD7UdsEBZC4gpGCsUL1o66m6EPrDbWNDk9/1Ls5O1ZDp1jnUe@qIs1HvVse9W591DbxUe@KosPTi4HaHvV0BB3eXgRkGWpr6GaDRDoXBYEosFpNsOJduoa1CiYKpiCxvqmO//8DAA	
{(⍴⍵)⍴(,(+/b)∘.>¯1+⍳¯1↑⍴⍵)\(,b←⍵≠' ')/,⍵}D	Moving all blanks to end of each row (fast (~,∩)∘' '⍤1)	Dfn	Monadic Function		Text	quick speed spaces trailing ending string rows		
X{⍺{⍺⍴⍨≢⍵}@(⍸(|m)/m<0)⊢⍵⍀⍨m←(¯1+2×≢⍵)⍴1,-≢⍺}Y	Intersperse: Insert cell X between major cells in Y	Dfn	Dyadic Function		Structural	combine merge list strings character joiner joining merging combining between interject inserting interspersing		
{2⌽∊(12((⊃'am' 'pm'⌽⍨≤),∘⍕|)4⊃⍵),':'@1∘⍕¨100+2↑4↓⍵}Jv	Date (⎕TS format) to H:mm:sstt	Dfn	Monadic Function		Text	timestamp am/pm 12-hour clock string		
{⌽((0,⍳≢⍵)∘.=+⌿~b)+.×(-⍵)×.*b←t⊤¯1+⍳×/t←2⍴⍨≢⍵}Nv	Descending coefficients of polynomial with roots Nv	Dfn	Monadic Function		Mathematical	solve		
{(⊢/t)++/((M~b)-1↓t)+(M←⍵∘×+c×~)b←⍵≤⍥|c←¯1↓t←+\0,⍵}Nv	Accurately sum a vector of floating point numbers	Dfn	Monadic Function		Mathematical	precise summation of summing floats precisionloss without avoiding accumulation accumulating errors imprecision 64-bit IEEE754-2008 128-bit binaryfloatingpoint list Kahan-Babuška-Neumaier Kahan–Babuška–Neumaier compensated		
{1+⍉↑{1=⍵:,⊂,0 ⋄ (⊃,/)¨(⍳⍵)⌽¨⊂(∇,∘⊂!⍴⊢)⍵-1}⍵}Js	Numeric matrix of all permutations of length Js in unspecified order (faster than generating in lexicographical order)	Dfn	Monadic Function		Mathematical	combinatorics unsorted unordered without replacement list vector table pmat		
Is{i←⍸⍵≤⍺⊃{⍵[⍋⍵]}⍵[(⌈0.5*⍨⍺×n)?n←≢⍵] ⋄ i[⍺↑⍋⍵[i]]}Yv	Indices of smallest Is elements of Nv (Fast Is↑⍋Nv)	Dfn	Dyadic Function		Comparison	least minimum infirmum smallest lowest		
Is{i←⍸⍵≥⍺⊃{⍵[⍒⍵]}⍵[(⌈0.5*⍨⍺×n)?n←≢⍵] ⋄ i[⍺↑⍒⍵[i]]}Yv	Indices of largest Is elements of Nv (Fast Is↑⍒Nv)	Dfn	Dyadic Function		Comparison	most maximum supremum biggest largest highest		
{⊃{⍺@(⊂1 1)⌽⍉⍵}/'┌┐┘└',{⍺⍪⌽⍉⍵}/'─│─│',⊂⍕⍵}Dm	Unicode frame a matrix	Dfn	Monadic Function		Text	border boxed enclosed table string		
Cv{((~(≢b↑⍵)↑'/'=⍺)/b↑⍵),(1↓b↓⍺),⍵↓⍨b←+/∧\⍺≠','}Dv	Editing Dv with Cv ('/' to delete and ',' to insert)	Dfn	Dyadic Function		Text	line editor remove drop without removing erasing erase eliminate eliminating deleting string		
{(∨/a)⌿(⍴⍵)⍴(,a)\(,a←∧\('⍝'≠⍵)∨≠\⍵='''')/,⍵}Dm	Decommenting a matrix representation of a function (⎕CR)	Dfn	Monadic Function		Text	uncomment strip comments remove table delete drop without removing erasing erase eliminate eliminating deleting string		
X(Is{(⍺↑⍨a[⍺⍺]@⍺⍺⊢s),[⍺⍺]⍵↑⍨w[⍺⍺]@⍺⍺⊢s←(a←⍴⍺)⌈w←⍴⍵})Y	Concatenate same-rank arrays X and Y along axis Is (padding if necessary)	Dfn	Dyadic Function		Structural	join merge dimension		
{⎕SE.(as←⎕NEW⎕FIX':Class' '∇S' ':Implements destructor'('0#.⎕SAVE''',⍵,'''⊣⎕CS#')'∇' ':EndClass')}Dv	Autosave workspace as Dv when quitting APL	Dfn	Monadic Function		System	auto-save auto-saving autosaving exiting closing )offing ⎕offing saving backup automatic		
Is{s←⊃⌽r←+\⍵=d←⊃⍵ ⋄ 0<⍺:(⍵/⍨r≤⍺),d⍴⍨0⌈⍺-s ⋄ (d⍴⍨0⌈-⍺+s),⍵/⍨r>⍺+s}Dv	Take first Is (if negative: last |Is) segments from delimited string Dv where the first character is the delimiter	Dfn	Dyadic Function		Text	SSTAKE delimited segmented initial leading final trailing head tail ↑ taking		
Iv{m|⍵+.×⍺(⊣×⊢|∘⊃{0=⍵:1 0 ⋄ (⍵∇⍵|⍺)+.×0 1,⍪1,-⌊⍺÷⍵})¨⍨⍺÷⍨m←×/⍺}Jv	Chinese Remainder Theorem for moduli Iv and desired remainders Jv	Dfn	Dyadic function		Mathematical	crt	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFUwVzBWqc2se9W7V1js8/VHvLo1HXYuBjK5FNY86Zjzqaq42sAVKWhkqGCg86m5R0AByHnW0A0mgnl2aIE0GCoY6j3pXGeroPurpAgoe3g6UrdU8tOJR7wood0Uu0LbD0/WB3FoFI6C1RlxQFxgaKhgaKRga09sRhgYKJkCb//8HAA	
{⊃⊃{-({(+\⍵)-+/⍵}@{∘.=⍨⍳≢⍵}⍵×∘.≤⍨⍳≢⍵)+.×⍺}/(≢⍵)⍴⊂⍵}Nm	Determinant of any square matrix	Dfn	Function		Mathematical	Bird'sMethod Bird'sAlgortihm det() |A| det(A) det(Nm) |Nm|		
{{⍵⍴⍨2⍴⍨2⍟⍴⍵},(⍺⍺×\1,1↓(2÷⍨⍴⍵)⍴¯1*2÷⍴⍵){(⊣/⍺)∇⍣(×m)⊢(+⌿⍵),[m+0.5]⍺×[⍳m←≢⍴⍺]-⌿⍵}⍺⍺ ⍵}Nv	Fast Fourier Transformation	Dfn	Monadic Function		Mathematical	FFT() analysis Cooley-Tukey		
{{⍵⍴⍨2⍴⍨2⍟⍴⍵}(⍴⍵)÷⍨,(⍺⍺+×\1,1↓(2÷⍨⍴⍵)⍴¯1*2÷⍴⍵){(⊣/⍺)∇⍣(×m)⊢(+⌿⍵),[m+0.5]⍺×[⍳m←≢⍴⍺]-⌿⍵}⍺⍺ ⍵}Nv	Inverse Fast Fourier Transformation	Dfn	Monadic Function		Mathematical	iFFT() analysis Cooley-Tukey		
X g⍨∘f⍨ Y	Reverse composition (Q-combinator): g on f X and Y, that is, (f X) g Y	Dop	Dyadic Function	Dyadic Operator	Function Application	Queer-bird before jotunderbar composewith bind ringunderbar functioncomposition ⍛ reverse-compose fXgY backcompose back-compose reversecompose into reversed ⊸		
rslt←pick dfns.of F of G of H … arg	Pick'th fn applied to arg	Dop		Dyadic Operator	Function Application	functionarray conditionaloperator co-operator cooperator		https://dfns.dyalog.com/n_of.htm
f@{B}Y	Where: Execute f on condition B mask	Dop	Dyadic Function	Monadic Operator	Function Application	amend update indicate masking indicating bitmask bit-mask		
vec←(fun dfns.traj) arg	Function limit 'trajectory'	Dop		Monadic Operator	Mathematical	debugging Newton-Raphson sequence NewtonRaphson		https://dfns.dyalog.com/n_traj.htm
vect←(fn dfns.ascan) vect	Associative vector scan	Dop		Monadic Operator	Function Application	scanoperators list scanning		https://dfns.dyalog.com/n_scan.htm
cvec←larg (fn dfns.nats) rarg	Natural number arithmetic	Dop		Monadic Operator	Mathematical	naturalnumber infiniteprecision expressiontransformation		https://dfns.dyalog.com/n_nats.htm
indx←(fun dfns.bsearch) range	Binary search	Dop		Monadic Operator	Lookup	binarysearch Boolean base-2 base2		https://dfns.dyalog.com/n_bsearch.htm
rslt←b (f dfns.kcell) p	Relationship between point and k-cell	Dop		Monadic Operator	Mathematical	boundary hypercube		https://dfns.dyalog.com/n_kcell.htm
rslt←count (fun dfns.pow) argt	Function power	Dop		Monadic Operator	Function Application	poweroperator functionpower fibonaccinumber		https://dfns.dyalog.com/n_pow.htm
rslt←ival (func dfns.foldl) vals	Fold (reduce) from the left	Dop		Monadic Operator	Function Application	reduction typenotation reducing folding		https://dfns.dyalog.com/n_foldl.htm
rslt←ival (accm dfns.ravt subs) tree	Generic depth-first parent-last tree	Dop		Dyadic Operator	Function Application	currying typenotation fibonaccinumber N-Queens NQueens child-first		https://dfns.dyalog.com/n_trav.htm
rslt←ival (accm dfns.trav subs) tree	Generic depth-first parent-first tree	Dop		Dyadic Operator	Function Application	currying typenotation fibonaccinumber N-Queens NQueens dsf child-last		https://dfns.dyalog.com/n_trav.htm
rslt←init (acc dfns.ltrav) list	List traversal	Dop		Monadic Operator	Structural	accumulator lambdaexpression minworkspace parsing lists cons vectors		https://dfns.dyalog.com/n_list.htm
rslt←larg (selector dfns.logic) rarg	Logical function array	Dop		Monadic Operator	Boolean/Logical	conditionaloperator Booleanfunctions truthtables		https://dfns.dyalog.com/n_logic.htm
rslt←part (redn dfns.pred) rarg	Partitioned reduction	Dop		Monadic Operator	Function Application	partionedreduction sub-vectors segmented sub-lists subvectors sublists separated separator delimiter		https://dfns.dyalog.com/n_pred.htm
rslt←(f dfns.alt g) mat	Alternant	Dop		Dyadic Operator	Mathematical	determinant permanent innerproduct SAX immanant Imm() Immλ() Imm(A) Immλ(A) Imm(Nm) Immλ(Nm) perm() perm(A) perm(Nm) per() per(A) per(Nm)		https://dfns.dyalog.com/n_alt.htm
rslt←(f dfns.and g) arg	Sequential test	Dop		Dyadic Operator	Boolean/Logical	lazyevaluation sequentialtestif adjacentguard && shortcutting shortcircuiting short-circuiting		https://dfns.dyalog.com/n_and.htm
rslt←(f dfns.or g) arg	Sequential test	Dop		Dyadic Operator	Function Application	lazyevaluation sequentialtestif adjacentguard || shortcutting shortcircuiting short-circuiting		https://dfns.dyalog.com/n_and.htm
rslt←(fn dfns.vwise) ref	Variable-wise: apply ⍺⍺ to each var in space ⍵	Dop		Monadic Operator	Function Application	variablewise blank namespace		https://dfns.dyalog.com/n_vwise.htm
rslt←(fun dfns.file) fname	Apply function to native file tie	Dop		Monadic Operator	Native Files	nativefile railwaydiagram		https://dfns.dyalog.com/n_file.htm
rslt←(fun dfns.limit) arg	Function power limit (fixpoint)	Dop		Monadic Operator	Function Application	functionpower palindrome arithmetic-geometricmean goldenmean arithmeticgeometricmean ⍣≡		https://dfns.dyalog.com/n_limit.htm
rslt←(func dfns.acc) argt	Accumulating reduction	Dop		Monadic Operator	Function Application			https://dfns.dyalog.com/n_acc.htm
rslt←(func dfns.until cond) argt	Conditional function power	Dop		Dyadic Operator	Function Application	conditionaloperator		https://dfns.dyalog.com/n_until.htm
rslt←(func dfns.while cond) argt	Conditional function power	Dop		Dyadic Operator	Function Application	conditionaloperator		https://dfns.dyalog.com/n_while.htm
rslt←(dewy dfns.do) rarg	Apply no-result function “en passant”	Dop		Monadic Operator	Function Application	is-yfunction do-yfunction enpassant noresult isyfunction doyfunction		https://dfns.dyalog.com/n_do.htm
rslt←(if dfns.cond then cond else) arg	Proposition:consequence:alternative	Dop		Dyadic Operator	Function Application	conditionaloperator Helsingør hyperator co-operator cooperator		https://dfns.dyalog.com/n_cond.htm
refs←(fn dfns.fnarray) fns	Array of functions	Dop		Monadic Operator	Function Application	functionarray		https://dfns.dyalog.com/n_fnarray.htm
z←l (fn dfns.bags) r	Multisets/bags	Dop		Monadic Operator	Sets			https://dfns.dyalog.com/n_bags.htm
rslt←{larg} I dfns._fk J dfns.fk_ K rarg	Simulation of “fork” syntax	Dop		Dyadic Operator	Function Application	co-operator cooperator		https://dfns.dyalog.com/n_fork.htm
rslt←{larg} I dfns.fk J dfns.fk K rarg	Slower but elegant simulation of “fork” syntax	Dop		Dyadic Operator	Function Application	co-operator cooperator		https://dfns.dyalog.com/n_fork.htm
{larg}(fn dfns.Depth k)rarg	Apply fn at depths k	Dop		Dyadic Operator	Function Application	rank dimensions axes levels		https://dfns.dyalog.com/n_Depth.htm
array←{ascan} (fn dfns.ascana) array	Associative higher rank scan	Dop		Monadic Operator	Function Application	scanoperators dimensions scanning high-rank any-rank highrank anyrank axes		https://dfns.dyalog.com/n_scan.htm
sum←{larg} (digs dfns.ratsum) rarg	⍺⍺-rational sum of ⍺ and ⍵	Dop		Monadic Operator	Mathematical	Eidenumbers rationalnumber balancedternary skewedfour		https://dfns.dyalog.com/n_ratsum.htm
cvec←{larg} (fn dfns.big) rarg	Arithmetic on large integers	Dop		Monadic Operator	Mathematical	infiniteprecision factorial		https://dfns.dyalog.com/n_big.htm
new←{larg} (sel dfns.sam mod) old	Select and modify	Dop		Dyadic Operator	Function Application	selectandmodify destructiveassignment purefunction		https://dfns.dyalog.com/n_sam.htm
rslt←(fun dfns.rows) {array}	Operand function applied to argument rows	Dop		Monadic Operator	Function Application	vector-wise vectorwise		https://dfns.dyalog.com/n_rows.htm
rslt←{lft} (fun dfns.perv) rgt	Scalar pervasion	Dop		Monadic Operator	Function Application	scalar-wise pervasivefunction scalarwise Pervade		https://dfns.dyalog.com/n_perv.htm
rslt←{larg} (fn dfns.rats) rarg	Rational arithmetic	Dop		Monadic Operator	Mathematical	rationalnumber primenumber		https://dfns.dyalog.com/n_rats.htm
rslt←{larg} (func dfns.profile subs) rarg	Performance profiling	Dop		Dyadic Operator	System	timing monitor ⎕profile		https://dfns.dyalog.com/n_profile.htm
rslt←{larg} (func dfns.tc) rarg	Trace of function application	Dop		Monadic Operator	Function Application	monitor debugging		https://dfns.dyalog.com/n_tc.htm
rslt←{larg} (land dfns.cf rand) rarg	Ratio of operand timings	Dop		Dyadic Operator	System	performance expressioncomparison hyperator		https://dfns.dyalog.com/n_cf.htm
rslt←{larg} (op dfns.sbst) rarg	Simple Binary Search Trees	Dop		Monadic Operator	Structural	binarysearchtree typenotation enlist Boolean base-2 base2		https://dfns.dyalog.com/n_sbst.htm
rslt←{larg} (op dfns.splay) rarg	Splay trees	Dop		Monadic Operator	Structural	binarysearchtree enlist		https://dfns.dyalog.com/n_splay.htm
rslt←{larg) (op dfns.redblack) rarg	Red-black trees	Dop		Monadic Operator	Structural	red-blacktrees binarysearchtree enlist redblacktrees		https://dfns.dyalog.com/n_redblack.htm
rslt←{larg)(op dfns.avl) rarg	Adelson-Velskii, Landis (AVL) trees	Dop		Monadic Operator	Structural	binarysearchtree typenotation expressiontransformation		https://dfns.dyalog.com/n_avl.htm
rslt←{left} (fun dfns.saw) right	Apply function Simple-Array-Wise	Dop		Monadic Operator	Function Application	simplearraywise		https://dfns.dyalog.com/n_saw.htm
rslt←{x} (u dfns.Cut case) y	Cut operator	Dop		Dyadic Operator	Structural	gameoflife GoL ⌺		https://dfns.dyalog.com/n_Cut.htm
rslt←(⍺⍺ dfns.each) array	Fast each for pure operand function	Dop		Monadic Operator	Function application	purefunction		https://dfns.dyalog.com/n_each.htm
res←{sin} (fvn dfns.roman) dex	Roman numeral arithmetic	Dop		Monadic Operator	Mathematical	romannumerals numbersystem diversions		https://dfns.dyalog.com/n_roman.htm
tvec←{larg} (fn dfns.bt) rarg	Balanced Ternary Arithmetic	Dop		Monadic Operator	Representation	balancedternary Setuncomputer TERNAC BurroughsB1700		https://dfns.dyalog.com/n_bt.htm
z←{larg}(fn dfns.H)rarg	Quaternion arithmetic	Dop		Monadic Operator	Mathematical	Hamiltonians		https://dfns.dyalog.com/n_H.htm
{mbrot←0}(cxfn dfns.cxdraw) zoom	Complex function drawing	Dop		Monadic Operator	Graphics	complexnumbers unitcircle fixpoint Mandelbrotset dual under		https://dfns.dyalog.com/n_cxdraw.htm
X f{⍺⍺ ⍺ ⍵}Y	Apply monadic function taking two-element argument as a dyadic function	Dop	Dyadic Function	Monadic Operator	Function Application	calling running converting change changing switching valence arity into monad-to-dyad monadic-to-dyadic unary-to-binary	https://tio.run/##SyzI0U2pTMzJT///P7g0V@FR2wQFbX2uR31TQSyQiLGCCYxrDBKoftS7C4gUIHhrrYLJ//8A	
commit←(⎕NS'') dfns.UndoRedo	Derive undo/redo function	Dop		Monadic Operator	Function Application	state		https://dfns.dyalog.com/n_UndoRedo.htm
tree←{slant←1}(fn dfns.dft) spread	Display of function tree	Dop		Monadic Operator	System	derivedfunction combinator hook fork box-drawingcharacters boxdrawingcharacters		https://dfns.dyalog.com/n_dft.htm
{⍺⍺/,⍵}Y	Reduction with f without respect to shape	Dop	Monadic Function		Function Application	reduce insert over rowwise reducing folding row-wise horizontally remove removing erasing erase eliminate eliminating delete deleting		
f{⊃⍺⍺/⍵}X Y	Apply dyadic function as a monadic function on a two-element vector of arguments	Dop	Monadic Function	Monadic Operator	Function Application	calling runing converting change changing switching valence arity into dyad-to-monad dyadic-to-monadic binary-to-unary list	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUPVJzcvLVFeoU1MPzi3JS1LmgEnXVj7qaH/XuAiL9R71ba@Eqoer@/wcA	
f{⍉⍺⍺⍉⍵}Y	Applying to columns action f defined on rows	Dop	Monadic Function	Monadic Operator	Function Application			
f{⍵÷⍺⍺ ⍵}N	Normalise to norm given by f equal to 1	Dop	Monadic Function	Monadic Operator	Mathematical	normalise arbitrary custom f=1 vector list	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExS0H/Xsr37Uu/Xw9ke9u4BIAciuVTBWMFQwUTD8/x8A	
X(Xs{⍺⍺ ⍵})Y	Apply arrayified function Xs on Y (optionally with left argument Y)	Dop	Ambivalent Monadic Function, Dyadic Function	Monadic Operator	Function Application	functionify functionalise functionalize reconstitute restore restoring de-arrayify dearrayify activate activation applying degerund de-gerund		
{⊃,/⍪⌿⍵}Ym	Join matrix of matrixes to single matrix	Dop	Monadic Function		Structural	combine merge raze separated chunked segmented sub-matrices submatrices sub-tables subtables partitioned block-matrix table blockmatrix separator delimiter	https://tio.run/##SyzI0U2pTMzJT///Xz0ls7hA/VHfVOdI9ZS0vGJ1rtzEEoVHbRMUzBTMHvVuedS72diMCygPFAIpVTAEQgMwNlCoftQ2UeNR1yL9R11tj3p3aT7qajq0AijQjOBHG8Y@6t1aqwA0FdkUDSRjNDVgTCDWJNHQ//8B	
f{⌽⍺⍺\⌽⍵}Y	Scan from end with f	Dop	Monadic Function	Dyadic Operator	Function Application	cumulativereduce rowwise backscan backwards suffix scanning row-wise horizontally trailing ending right reverse		
f{⍵+¯11○⍺⍺ ⍵}Nv	Plot of scalaroid function f for data Nv	Dop	Monadic Function	Dyadic Operator	Mathematical	plotting		
X f{⍺∘⍺⍺¨⍵}Y	Each-Right: Pair up the entirety of X with each element of Y	Dop	Dyadic Function	Monadic Operator	Function Application	eachr map ᑈ	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtEwwVjBSMFXSqH/XuetQxA0T27jq04lHv1loFQwMFIwMFY4P//wE	
X f{⍺⍺∘⍵¨⍺}Y	Each-Left: Pair up each element of X with the entirety of Y	Dop	Dyadic Function	Monadic Operator	Function Application	eachl map ᐵ ⍩	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtEwwVjBSMFXSqH/XuAqGOGY96tx5aAWTWKhgaKBgZKBgb/P8PAA	
f{⍵/⍨⍺⍺ ⍵}Yv	Filter to only those elements of Yv that satisfy scalar criterion criteria f	Dop	Monadic Function	Monadic Operator	Selection	filtering where cells items		
X f{⊃⍸⍺ ⍺⍺ ⍵}Y	Index of first element where X f Y (f returns Boolean result)	Dop	Dyadic Function	Monadic Operator	Index Generation	find condition cell item 1st binary base-2 base2		
Is f{⍺⍺⍣⍺⊢⍵}Y	Function power: apply f on Is repeated Is times	Dop		Monadic Operator	Function Application	poweroperator functionpower fibonaccinumber		
rslt←cond (⍺⍺ dfns.else ⍵⍵) argt	Condition f else g …	Dop		Dyadic Operator	Function Application	conditionaloperator		https://dfns.dyalog.com/n_else.htm
rslt←i j k ··· F dfns.case G case H ··· arg	Select statement	Dop		Dyadic Operator	Selection	conditionaloperator selectoperator co-operator cooperator switch		https://dfns.dyalog.com/n_case.htm
rslt←i j k··· F dfns.for G for H··· arg	Multiple selection of function list	Dop		Dyadic Operator	Function Application	conditionaloperator functionselection functionarray co-operator cooperator vector		https://dfns.dyalog.com/n_for.htm
rslt←{larg} (⍺⍺ dfns.memo cache) rarg	Function memoisation (apply ⍺⍺ faster by remembering the result for unique arguments)	Dop		Dyadic Operator	Function Application	memoization persistentlocalvariable fibonaccinumber remember reuse speed performance		https://dfns.dyalog.com/n_memo.htm
{rslt}←{larg} (fun dfns.time) rarg	Function application time	Dop		Monadic Operator	System	performance monitor timing		https://dfns.dyalog.com/n_time.htm
rslt←{guess←1+⎕CT} (fn dfns.invr) argt	Inverse of real-valued function	Dop		Monadic Operator	Mathematical	functioninverse Newton-Raphson absolutezero NewtonRaphson inversion		https://dfns.dyalog.com/n_invr.htm
rslt←{⍺←⊢} (new dfns.at sel) old	Prefix-friendly @	Dop		Dyadic Operator	Function Application	atoperator prefixagreement whereclause SigmaAPL semicolonseparator		https://dfns.dyalog.com/n_at.htm
X f{+/,⍺ ⍺⍺ ⍵}Y	The number of elements where X f Y (f returns Boolean result)	Dop	Dyadic Function	Monadic Operator	Boolean/Logical	count tally cells items binary base-2 base2		
X f{⊃⌽⍸⍺ ⍺⍺ ⍵}Y	Index of last element where Xv f Y (f returns Boolean result)	Dop	Dyadic Function	Monadic Operator	Index Generation	find condition cell item binary base-2 base2		
X f{⊃⍸~⍺ ⍺⍺ ⍵}Y	Index of first element where not X f Y (f returns Boolean result)	Dop	Dyadic Function	Monadic Operator	Index Generation	find condition cell item 1st binary base-2 base2		
{prompt←4↑''} (eval dfns.repl) stop	Read-eval-print loop	Dop		Monadic Operator	Function Application	shell error-guard,dynamic shell errorguard,dynamic		https://dfns.dyalog.com/n_repl.htm
f{f←⍺⍺ ⋄ ⎕OR'f'}⍬	Arrayify: Convert f into an array for use in an array of functions	Dop	Monadic Function	Monadic Operator	Function Application	function-array encapsulate encapsulation embedding toarray gerund		
rslt←{larg} {''} dfns.lof F lof G lof H … rarg	List of functions	Dop		Dyadic Operator	Function Application	conditionaloperator listoffunctions co-operator cooperator vector		https://dfns.dyalog.com/n_lof.htm
X f{⍵ ⍵⍵⍨⍺⍺ ⍺}g Y	Reverse composition (Q-combinator): g on f X and Y, that is, (f X) g Y	Dop	Dyadic Function	Dyadic Operator	Function Application	Queer-bird Q-combinator before jotunderbar composewith bind ringunderbar functioncomposition ⍛ reverse-compose fXgY backcompose back-compose reversecompose into reversed		
f{2⊥⍺⍺/2⊥⍣¯1⍉⍵}J	Bit-wise application of f over positive integers Jv	Dop	Monadic Function	Monadic Operator	Boolean/Logical	bitwise apply binary		
X f{⊃⌽⍸~⍺ ⍺⍺ ⍵}Y	Index of last element where not X f Y (f returns Boolean result)	Dop	Dyadic Function	Monadic Operator	Index Generation	find condition cell item binary base-2 base2		
X(As{⊃⍺⍺↓⍺⍵})Y	Selection of X or Y depending on condition As	Dop	Dyadic Function	Monadic Operator	Selection	conditional selector pick choose		
f{⍺⍺ ⍵:1 ⋄ ⍵⍵ ⍵}g Y	Sequential OR test	Dop		Dyadic Operator	Function Application	lazyevaluation sequentialtestif adjacentguard || shortcutting shortcircuiting short-circuiting minimal evaluation McCarthy		
f{⍺⍺ ⍵:⍵⍵ ⍵ ⋄ 0}g Y	Sequential AND test	Dop		Dyadic Operator	Boolean/Logical	lazyevaluation sequentialtestif adjacentguard && shortcutting shortcircuiting short-circuiting minimal evaluation McCarthy		
M(A{⍺×⍵*¯1*⍺⍺})N	Conditionally multiply (where A=0) or divide (where A=1)	Dop	Dyadic Function	Monadic Operator	Mathematical	per-element item cell		
Iv(A{⍵↓⍨⍺⍺×⍺})Y	Conditional drop of Iv elements from array Y	Dop	Dyadic Function	Monadic Operator	Structural	major cells rows items delete remove without removing erasing erase eliminate eliminating deleting		
(Ms{⍺⍺⌈⍵⍵⌊⍵}Ns)N	Force N to range Ms≤N≤Ns	Dop	Monadic Function	Dyadic Operator	Mathematical	clamp limitrange between –		
rslt←{larg} {''} dfns.vof F vof G vof ··· rarg	Vector of functions	Dop		Dyadic Operator	Structural	functionarray vectoroffunctions fork co-operator cooperator list		https://dfns.dyalog.com/n_vof.htm
As f{⍺:⍺⍺ ⍵ ⋄ ⍵⍵ ⍵}g Y	Ternary: if As then apply f to Y else apply g to Y1	Dop	Dyadic Function	Dyadic Operator	Function Application	conditionaloperator inlineiff ternaryiff ?:		
X{⍺(⍺⍺ ⍵⍵ ⊢)⍵}Y	Church Boolean AND	Dop	Dyadic Function	Dyadic Operator	Boolean/Logical	∧ conjunction caret wedge hat circumflex Kpq		
X{⍵(⍺⍺ ⍵⍵ ⊢)⍺}Y	Church Boolean NAND	Dop	Dyadic Function	Dyadic Operator	Boolean/Logical	⍲ shefferstroke notand andtilde carettilde alternativedenial Dpq ⊼		
X{⍺(⊣ ⍺⍺ ⍵⍵)⍵}Y	Church Boolean OR	Dop	Dyadic Function	Dyadic Operator	Boolean/Logical	∨ disjunction vel alternation Caron hacek invertedcircumflex checkmark hachek Apq		
X{⍵(⊣ ⍺⍺ ⍵⍵)⍺}Y	Church Boolean NOR	Dop	Dyadic Function	Dyadic Operator	Boolean/Logical	⍱ peirce'sarrow quine'sdagger ampheck neithernor jointdenial Xpq ⊽		
X{⍺(⍵⍵ ⍺⍺ ⊣)⍵}Y	Church Boolean Implication	Dop	Dyadic Function	Dyadic Operator	Boolean/Logical	≤ materialconditional materialconsequence implies implying materialimplication therefore ∴ ⇒ Cpq		
X{⍵(⍵⍵ ⍺⍺ ⊣)⍺}Y	Church Boolean Nonimplication	Dop	Dyadic Function	Dyadic Operator	Boolean/Logical	> abjunction ⇏ not butnot Lpq		
X{⍺(⍺⍺ ⍵⍵ ⊣)⍵}Y	Church Boolean Converse Implication	Dop	Dyadic Function	Dyadic Operator	Boolean/Logical	≥ because ∵ ⇐ if converseconditional Bpq reverseimplying		
X{⍵(⍺⍺ ⍵⍵ ⊣)⍺}Y	Church Boolean Converse Nonimplication	Dop	Dyadic Function	Dyadic Operator	Boolean/Logical	< ⇍ Mpq		
Av f{⊃,/⍺⍺/¨⍺⊂⍵}Yv	Segmented reduction: like f\ but starting over whenever indicated by Av	Dop		Monadic Operator	Function Application	partionedreduction sub-vectors partitioned sub-lists subvectors sublists separated separator delimiter		
Av f{⊃,/⍺⍺\¨⍺⊂⍵}Yv	Segmented scan: like f\ but starting over whenever indicated by Av	Dop	Dyadic Function	Monadic Operator	Function Application	cumulativereduce rowwise sub-vectors sub-lists partitioned subvectors sublists row-wise horizontally separated separator delimiter		
{⍺⍺⍀¯1↓⍵⍪⍨⍺⍺⌿⍬}Y	Exclusive Scan First: scan with identity element as seed value	Dop	Monadic Function	Monadic Operator	Function Application	scanl Exscan exclusive_scan	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExS0qx/17gKjhkPrDR@1TX7Uu/VR76pHvSug4j37H/WuqTVUMFIwVjBRMOWC6js8nUSN//8DAA	
f{⍵.(⍺⍺∘⍎¨⎕NL ¯2)}Y	Apply f on each variable in each namespace in Y	Dop		Monadic Operator	Function Application	variablewise blank		
X f{⍺←⊢ ⋄ ⍺⍺ ⍺ ⍵⍵ ⍵}g Y	Atop: f X g Y	Dop	Dyadic Function	Dyadic Operator	Function Application	composewith functioncomposition fXgY		
f{⍵⍵ ⍵:⍵ ⋄ ∇⍺⍺ ⍵}g Y	Power: Iterating f on Y until condition g Y is true	Dop	Monadic Function	Dyadic Operator	Function Application	until count repeatedly apply application poweroperator stardiaeresis powerlimit while repeating looping iterate iteration	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExR0HnXMMFCoftS7FYgUgNgKTHe3KDzqaH/UuwuIQKK1ChrmNo86F2kqGCoYKRhzkazbCEn3//8A	
f{⍺⍺⍣(⍵⍵ ⍵)⊢⍵}g Y	Apply f to Y, g Y times	Dop	Monadic Function	Monadic Operator	Iteration	application inverse repeated repeating inversion inverting iterating looping iterate		
X(Is{⍺⍺⊃⍸⍺≡¨⊂⍵})Y	Position of the Is'th Y in X	Dop	Dyadic Function	Monadic Operator	Index Generation	nthindexin nthindexof nthposition		
Bv(Is{⍵⌿⍨⍺⍺=+\⍺})Yv	The Is'th subvector of Yv (subvectors indicated by Bv)	Dop	Dyadic Function	Monadic Operator	Selection			
(Ms{⍺⍺+⍵⍵ׯ1+⍳⍵}Ns)Js	Arithmetic progression vector: Js elements starting at Ms with step Ns	Dop	Monadic Function	Dyadic Operator	Mathematical	list sequence seq() cells items		
f{⍎'⍺⍺ ⍵ ⋄ ⍵' ⋄ ⍺⍺}Y	Apply no-result function “en passant”	Dop	Monadic Function	Monadic Operator	Function Application	is-yfunction do-yfunction enpassant noresult isyfunction doyfunction		
{⍺(⍺⍺ ⍵⍵ ⍺⍺⍨)⍵}	Church Boolean XNOR	Dop	Dyadic Function	Dyadic Operator	Boolean/Logical	= materialbiconditional biimplication eqv nxor bothorneither exclusivenor materialequivalence ⇔ δ ẟ Kroneckerdelta iff logicalequivalence Epq doubleimplying		
{⍺(⍺⍺⍨ ⍵⍵ ⍺⍺)⍵}	Church Boolean XOR	Dop	Dyadic Function	Dyadic Operator	Boolean/Logical	≠ exclusivedisjunction eor exor ⊕ ⊻ ⇎ Jpq		
f{↑⍺⍺⍨/(⌽⍵),⊂⍺}Y	Fold (reduce) from the left	Dop	Monadic Function	Monadic Operator	Function Application	reduction typenotation reducing folding		
f{⍺⍺¨⍣(~0∊⍴⍵)⊢⍵}Y	For each: f on items of Y unless Y is empty	Dop	Monadic Function	Monadic Operator	Function Application	foreach mapping cells noelements avoid prototypes fill conditionally apply void of skip don't not if conditional		
X(Y{⍺∘.=⍺⍺+.×⍵})N	Sums of N according to codes X for lookup table Y	Dop	Dyadic Function	Monadic Operator	Mathematical	look-up matrix		
Xv(f{⍵⍺⍺⌸¨⍨⊂8⌶⍨⍺})Yv	Inverted Table Dyadic Key (Xf⌸Y where X and Y are unverted Xv and Yv)	Dop	Dyadic Function	Monadic Operator	Sets			
(Is{⍵⍕⍤1⍨⍺⍺,⍪⍵⍵}Iv)Nm	Row-by-row formatting (width Is) of Nm with Iv decimals per row	Dop	Monadic Function	Dyadic Operator	Data Conversion	converting change changing		
X(Is{⍺⍺(↑⍪⍺⍪↓)⍵})Y	Inserting X into Y after major cell Is	Dop	Dyadic Function	Monadic Operator	Structural	items elements splice splicing joining putting		
(Xs{⍺⍺@(⍵⍵∘⊣)⍵}Bv)Y	Replacing elements of Y satisfying Bv with Xs	Dop	Monadic Function	Dyadic Operator	Structural	substitute merge amend replace update major cells rows items indicate masking indicating		
X f{⍺ ⍺⍺⍣(⍺ ⍵⍵ ⍵)⊢⍵}g Y	Apply X∘f to Y, X g Y times	Dop	Dyadic Function	Monadic Operator	Iteration	application inverse repeated repeating inversion inverting iterating looping iterate		
Mv(Is{⌽⍵⌹⍺∘.*0,⍳⍺⍺})Nv	Descending coefficients of Is-degree polynomial fit given x-values Mv and y-values Nv	Dop	Dyadic Function	Monadic Operator	Mathematical	curvefitting regression model best leastsquaresfit		
f{(⊂⍵⍳⍨∪⍵)⌷⍺⍺∪⍵}Y	Apply costly monadic function f on repetitive arguments	Dop	Monadic Function	Monadic Operator	Function Application	performance memoisation memoization memoise memoize memoising memoizing quicker speed-up faster		
I f{⍉2⊥⍺⍺/2⊥⍣¯1⍉⍺,[0.5]⍵}J	Bit-wise application of f between positive integers I and J	Dop	Monadic Function	Monadic Operator	Boolean/Logical	bitwise apply binary		
Iv(Is{⍵\⍨,⍺∘.>¯1+⍳⍺⍺})Yv	Justifying left fields of Yv (lengths Iv) to length Is	Dop	Dyadic Function	Monadic Operator	Text	leftalign left-align string		
X f{c←⍺ ⋄ ⍺⍺{c⊢←c ⍺⍺ ⍵}¨⍵}Yv	Left Scan with initial value: f⍨/⌽(⊂X),Yv with intermediate values	Dop	Dyadic Function	Monadic Operator	Function Application	lscan scanl O(n) sane left-associative f\ f⍀	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMDXSrk4GMR727FB51tygAaSACCnUtAoomQ/lAamvtoRUg0ljBUMHk/38A	
M(A{(⍺×⍺⍺)+⍵×~⍺⍺})N	Selection of elements of M and N depending on condition A	Dop	Dyadic Function	Monadic Operator	Selection	conditional selector meshing merge cells items indicate masking indicating		
X f{(⍵ ⍵⍵ ⍺)⍺⍺(⍺ ⍵⍵ ⍵)}g Y	Across: apply f between (Y g X) and its commute, that is (Y g X) f (X g Y)	Dop	Dyadic Function	Dyadic Operator	Composition			
Iv(Is{⍵\⍨,⍺∘.>⌽¯1+⍳⍺⍺})Yv	Justifying right fields of Yv (lengths Iv) to length Is	Dop	Dyadic Function	Monadic Operator	Text	rightalign right-align string		
(Mv{⍺⍺∘+¨⍵⍵∘ר¯1+⍳⍵}Nv)Jv	Multi-dimensional arithmetic progression with dimensions Jv starting at Mv with steps Nv	Dop	Monadic Function	Dyadic Operator	Mathematical	sequence seq() multidimensional axes		
Is(Ms{⍺/[⌈⍺⍺],[⍺⍺]⍵})Y	Is-replicating along new dimension at fractional axis Ms	Dop	Dyadic Function	Monadic Operator	Structural	copying repeating replicate replication add dimension increase incrementing rank by 1 one insertion inserting extending extension	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFDQM9EyrH/Xu0o9@1NMBpIEoVicaynjUu7VWE6jI@FHvlke9m824ENqMyNNmSIK2//8B	
I(X{(⊂⍺⌊1+≢⍵)⌷⍵⍪⍺⍺})Y	Giving a default value X for indices beyond end of Y	Dop	Dyadic Function	Monadic Operator	Selection	fallback indexing trailing ending		
X(f{⍺←⊢ ⋄ ⎕IO←⍵⍵ ⋄ ⍺ ⍺⍺ ⍵}Bs)Y	Run f in origin Bs	Dop	Ambivalent Monadic Function, Dyadic Function	Dyadic Operator	Function Application	indexorigin apply		
f{⍺⍺⍨⍣¯1⊢⍵⍉⍨r⍴⍳2÷⍨r←⍴⍴⍵}Y	Inverse of outer product selfie (∘.f⍨⍣¯1)	Dop	Monadic Function	Monadic Operator	Function Application	∘.g⍨⍣¯1 diagonal table		
Mv f{⍵+.×⍨(⍳≢⍺)⌽⍤0 1⍺⍺⌽⍺}Nv	Generalised convolution	Dop	Dyadic Function	Monadic Operators	Mathematical	generalized convolute		
Mv(Ms{⍺⍺⊥⍺⌹⍵∘.*⌽¯1+⍳≢⍵})Nv	Interpolated value of series Mv=f(Nv) at Ms	Dop	Dyadic Function	Monadic Operator	Mathematical	extrapolate		
X(f{↑[⍵⍵](⊂AX)f⊂[⍵⍵]⍵}ax)Y	Run f on axes of Y	Dop	Dyadic Function	Dyadic Operator	Function Application	onaxis apply dimensions		
X f{⍺ ⍺⍺⍤(-⌊/≢∘⍴¨⍺⍵)⊢⍵}Y	Apply f with leading axis agreement	Dop	Dyadic Function	Monadic Operator	Function Application	conformity conforming axes frames major minor cells	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtEwwNFIwMFIwNFLSrH/XuUgBiMFqiofuop0v/UeeiRx0zHvVuObQCLLxV81HXIiBVq2CsYKRgApSw0H/Uu9n4/38A	
X(A{(⍺⍺/⍥,⍵)@(⍺⍺⍨)⍺})Y	Mesh arrays X and Y under control of A () (0:element from X, 1:cell from Y, …)	Dop	Dyadic Function	Monadic Operator	Selection	zipping merge merging interweave interweaving interleave interleaving shuffle shuffling meshing		
Av{↑(⊢/⊆⍺)⊂¨(⊃⊆⍺)⊂[1]⍵}Ym	Partition (⊂) Ym along both axes (Av can be one or two partitioning vectors)	Dop	Dyadic Function		Structural	partitioning tesselating tiling tiles chopping splitting cutting separate separating chunking segmented segmenting sub-matrices submatrices sub-tables subtables partitioned block-matrix table dimensions blockmatrix separated separator delimiter	https://tio.run/##SyzI0U2pTMzJT///Xz0ls7hA/VHfVOdI9ZS0vGJ1rtzEEoVHbRMUzBTMHvVuedS72diMCygPFAIpVTAEQgMwNlCoftQ2UeNR1yL9R11tj3p3aT7qajq0AijQjOBHG8Y@6t1aqwA0FdkUDSRjNDVgTCDWJNHQ//8B	
f{⍉2⊥(-⍺⍺/0>b)⍪⍺⍺/2⊥⍣¯1⊢b←⍵}J	2's-complement bit-wise application of f over Jv	Dop	Monadic Function	Monadic Operator	Boolean/Logical	bitwise apply binary 2s two's twos		
Nm(Is{(⍪⍺⍺÷⍨⍳⍺⍺)⊥⍺+.×⍵})Mv	Is-point spline of Nm Bezier matrix with Mv control points	Dop	Dyadic Function	Monadic Operator	Mathematical	curvefitting model interpolation table		
X(f{⍺←⊢ ⋄ ⍺(⍺⍺⊣⊢)⍣⍵⍵⊢⍵}Bs)Y	If: replace/apply if Bs	Dop	Ambivalent Monadic Function, Dyadic Function	Dyadic Operator	Function Application	conditional amend change changing converting conversion		
(f{⍺⍺{⍺⍺⍣⍵⊢⍵⍵}⍵⍤0⊢⍵⍵}J)Y	Power: apply f on Y J times	Dop	Monadic Function	Dyadic Operator	Function Application	poweroperator while until inverse inversion application repeatedly repeating inverting iterating looping iterate array non-scalar multiple		
Is f{⍺←≢⍴⍵ ⋄ (⍺⊃⍴⍵)⍺⍺/[⍺]⍵}Y	Reduction (/) with f in dimension Is (default: last), rank unchanged	Dop	Ambivalent Monadic Function, Dyadic Function	Monadic Operator	Function Application	reduce insert over rowwise reducing folding axis row-wise horizontally		
X(f{↑[⍵⍵](⊂[⍵⍵]⍺)⍺⍺⊂⍵}ax)Y	Run f on axes of X	Dop	Dyadic Function	Dyadic Operator	Function Application	onaxis apply dimensions		
{X}(f{⍺←⊢ ⋄ 0::⍺ ⍵⍵ ⍵ ⋄ ⍺ ⍺⍺ ⍵}g)Y	Adverse: Apply f but if it errors, apply g	Dop	Ambivalent Monadic Function,Dyadic Function	Dyadic Operator	System	catch J assign onerror works noerror otherwise fallback fall-back		
f{⌽@(1(⌽∨⊢)0<\⍤,2⍺⍺/⊢)⍣≡⍵}Y	Stable bubble sort using custom comparison function f (true:left precedes right)	Dop	Monadic Function	Monadic Operator	Mathematical	sinking customised customized defined sorting order		
(X{(⊂⍋(⍳≢⍵),⌊⍺⍺)⌷⍵,⍺⍺}Nv)Y	Insert X at fractional positions Nv in Y (≢Nv)=≢X	Dop	Monadic Function	Dyadic Operator	Structural	slotin		
X(f{⍺ ⍺⍺{⍺ ⍺⍺⍣⍵⊢⍵⍵}⍵⍤0⊢⍵⍵}J)Y	Power: apply X∘f on Y J times	Dop	Dyadic Function	Dyadic Operator	Function Application	poweroperator while until inverse inversion application repeatedly repeating inverting iterating looping iterate array non-scalar multiple		
I f{⍺⍺{⍺⍺⍣(⍵⍵ ⍵)⊢⍵}⍵⍵⍣⍺⊢⍵}g Y	Power: Iterating f on Y while condition g Y is true but at most I times	Dop	Dyadic Function	Dyadic Operator	Function Application	until count repeatedly apply application poweroperator stardiaeresis powerlimit while repeating looping limited counting iterate iteration	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMFHQedcwwUKh@1LsLiKDUo97FGo96twKRAhBrPupaBKRqISJAOZAKiJCChrndo85FmgqGQJOMuaCGWlLT0P//AQ	
f{c←⊃⍵ ⋄ (1↑⍵),⍺⍺{c⊢←c ⍺⍺ ⍵}¨1↓⍵}Yv	Left Scan: f⍨/⌽Yv with intermediate values	Dop	Monadic Function	Monadic Operator	Function Application	lscan scanl O(n) sane left-associative f\ f⍀	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExR0q5OB1KOu5ke9WxUedbcoaBg@apsI5GjqPOrdBURA@a5FQCXJChA@kNpae2gFUNVkEMvQQMFYwVDB5P9/AA	
(Xv{⍺⍺(⍵⍵⌷⍨∘⊂⍳)@(∊∘⍺⍺)⍵}Yv)Z	Replacing elements of Z that appear in Xv with the corresponding element from Yv	Dop	Monadic Function	Dyadic Operator	Structural	substitute merge amend update translate transform map selective search-and-replace find-and-replace items lists set cells	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ01BNTM/NL1RWqH/XuAiKNR71bQahn@6PeFY86ZjzqanrUu1nTQeNRRxeIC1akCVRRq6Du6OrpH6quqaCemlKanFiSmZ@nzgU3NikzO1VdQT05sYgss5MykyuTc0AmJJaW5OfmJ2UCOUCrijMyC9QVUExXL8hJzAPxSooSM/Ngkv//AwA	
Xv(Cv{(⍵,⍨⊂⍺⍺)⍪⍺,⍺∘.(⍎⍺⍺)⍵})Yv	Formatted function table for function Cv with Xv down and Yv across	Dop	Dyadic Function	Monadic Operator	Function Application	matrix		
I f{⍉2⊥(-⍺⍺/0>b)⍪⍺⍺/2⊥⍣¯1⊢b←⍉⍺,[0.5]⍵}J	2's-complement bit-wise application of f between I and J	Dop	Monadic Function	Monadic Operator	Boolean/Logical	bitwise apply binary 2s two's twos		
Is f{a+.×⍺⍺(⊃⍵)-(a←-/⍵÷-⍺)×0.5-⍳⍺}Nv	Definite integral of scalar function f in range Nv[1]…Nv[2] with Is steps	Dop	Dyadic Function	Monadic Operator	Mathematical	integration numeric approximation ∫ integrate		
M f{⊃+/,(∘.⍺⍺⍨0 1)×(1-⍺)⍺∘.×(1-⍵)⍵}N	Probabilistic function corresponding to Boolean function f	Dop	Dyadic Function	Monadic Operator	Mathematical	fuzzy probability chance		
X f{⍺←{⍵ ⋄ ⍺⍺} ⋄ ⍵⍵⍣¯1⊢(⍵⍵ ⍺)⍺⍺(⍵⍵ ⍵)}g Y	Under: preprocess (g) argument(s) before applying main function (f), then undo preprocessing	Dop	Ambivalent Monadic Function, Dyadic Function	Dyadic Operator	Function Application	deldiaeresis computationalunder mathematicalunder dual while ⍢	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQUtB/1rqh@1LsLyAFSWxUedbcogLi9u2qh7K1gtPjQesNHXYs0IHyQEk2IMoTIVs3aR73zFUwUgOy5CsWFpYlFmXnpCpnFCin5pUk5IHZpXkpqkQLQAUCpkoxcLqgrjBW0aeKG3NKcksyCnMzkxJLM/DyQS4pLc3MhHDSn/P8PAA	
f{⊃⍺⍺{⍵,⍨⊂⍺ ⍺⍺⊃⍬⍴⍵}/1↓⍬(⊢,∘⊂⍴)¯1⌽⍵}Y	Accumulating reduction	Dop	Monadic Function	Monadic Operator	Function Application			
Xv(Av{(1+⍺⍺)⊃¨((~⍺⍺)\⍺),¨(⍺⍺\⍵)})Yv	Mesh vectors Xv and Yv under control of Av (0:cell from Xv, 1:cell from Yv, …)	Dop	Dyadic Function	Monadic Opertor	Selection	zipping merge merging interweave interweaving interleave interleaving shuffle shuffling meshing		
Mv(Ns{⍺⍺{⍺⍺|⍺×⍺⍺|×⍨⍵}⌿⍺*⍤1⊖0⍪2⊥⍣¯1⊢⍵})Jv	Modulo power (fast non-overflowing Ns|Mv*Jv)	Dop	Dyadic function	Monadic Operator	Mathematical	powermodulo powmodulo modular exponentiation modulus bmodpow() pow() expmod() exp() bcpowmod() mpz_powm() @powermod() mod_exp()		
M(I{+⌿(⍺⍺⊤⍨4⍴2)×⍤¯1↑,(1-⍺)⍺∘.×(1-⍵)⍵})N	Boolean/probabilistic functions I (0-15)	Dop	Dyadic Function	Monadic Operator	Mathematical	Logical application numbered enumerated operation apply fuzzy probability chance		
Xm(Av{(1+⍺⍺)⊃¨⍤1⊢((~⍺⍺)\⍺),¨(⍺⍺\⍵)})Ym	Mesh matrices Xm and Ym along rows under control of Av (0:cell from Xm, 1:cell from Ym, …)	Dop	Dyadic Function	Monadic Opertor	Selection	zipping merge merging interweave interweaving interleave interleaving shuffle shuffling meshing matrix row-wise		
Xm(Av{(1+⍺⍺)⊃¨⍤0 1⊢((~⍺⍺)⍀⍺),¨(⍺⍺⍀⍵)})Ym	Mesh matrices Xm and Ym along columns under control of Av (0:cell from Xm, 1:cell from Ym, …)	Dop	Dyadic Function	Monadic Opertor	Selection	zipping merge merging interweave interweaving interleave interleaving shuffle shuffling meshing matrix column-wise		
(X{⍺⍺(⍵⍵⌷⍨∘⊂⍳)@(⍸(≢⍺⍺)≥⍺⍺⍳⍵)⊢⍵}Y)Z	Replacing major cells of Z that appear in X with the corresponding major cell from Y	Dop	Monadic Function	Dyadic Operator	Structural	substitute merge amend update translate transform map selective search-and-replace find-and-replace items high-rank array matrix matrices set	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExRyE0sUQLSx/qPeVeqJSUWJyYkpIEqdC6pCHc7S0DBSMH7Uu0U9MTExKSlJXVOh@lHvLiDSeNS7FYR6tj/qXfGoY8ajrqZHvZs1HYDiOzQedS6CqNJ81LkUwgJKApVrPuoCymytVYAZ6@jo6OTkpK6pCXLV//8A	
(Is{(⍺⍺*¯1 1)(×⍴⍵↑⍨⊢)(⍴⍵)+⍵⍵,⍨⍺⍺|-≢⍵}Js)Ym	Ravel of a matrix to Is columns with a gap of Js	Dop	Monadic Function		Structural	table		
Is(As{⍺>⍵:0 ⋄ ⊃⌽⊃(+\×)/1,⍨⌽⊣\⍣⍺⍺⊢⍺,/⍳⍵-1})Js	Stirling number of the As'th kind (0:first, 1:second): S(n,k)	Dop	Dyadic Function	Monadic Operator	Mathematical	combinatorics 𝔖(n,k) 𝕾(n,k)		
X(f{⍺←⊢ ⋄ r⊣⍺ ⍺⍺{⍺←⊢ ⋄ r,∘⊂←⍺ ⍺⍺ ⍵}⍣⍵⍵⊃r←⊂⍵}Y)Z	Iterate: ⍣ but with intermediary results	Dop	Monadic Function, Dyadic Function	Dyadic Operator	Iteration	apply application repeated converge while repeating looping power intermediates intermediaries intermediate all sequence iterate iterating list vector of values cumulative scan		
Iv(Is{(⊂(1+≢⍵)⌊⍋(⍳≢⍵),⍺⍴⍨⍺⍺×≢⍺)⌷⍵⍪⍵⍵}Y)Z	Inserting Is Y's into Z after indices Iv	Dop	Dyadic Function	Dyadic Operator	Structural			
(Iv{⍵⍀⍨(⍳(≢⍵)++/⍺⍺)∊+\1+⍺⍺\⍨⍵⍵∊⍨⍳≢⍵}Jv)Y	Open a gap of Iv[i] before Y[Jv[i]] (for all i)	Dop	Monadic Function	Dyadic Operator	Structural	gaps expand		
Xv(Am{(1+⍺⍺)⊃¨⍤1⊢((~⍺⍺)\⍤1⊢⍺),¨(⍺⍺\⍤1⊢⍵)})Yv	Mesh vectors Xv and Yv in multiple ways under control of Am (0:cell from Xv, 1:cell from Yv, …)	Dop	Dyadic Function	Monadic Opertor	Selection	zipping merge merging interweave interweaving interleave interleaving shuffle shuffling meshing differently		
Xm(Am{(1+⍺⍺)⊃¨⍤1⊢((~⍺⍺)\⍤1⊢⍺),¨(⍺⍺\⍤1⊢⍵)})Ym	Mesh matrices Xm and Ym differently for each row under control of Am (0:cell from Xm, 1:cell from Ym, …)	Dop	Dyadic Function	Monadic Opertor	Selection	zipping merge merging interweave interweaving interleave interleaving shuffle shuffling meshing matrix multiple		
X f{⍺←{⍵ ⋄ ⍺⍺} ⋄ w←⍵ ⋄ ((⍵⍵)w)←(⍵⍵ ⍺)⍺⍺(⍵⍵ ⍵) ⋄ w}g Y	Under: apply main function (f) to selection (g) of argument(s)	Dop	Ambivaent Monadic Function, Dyadic Function	Dyadic Operator	Function Application	deldiaeresis structuralunder dual while ⍢ ⍫ selectiveunder		
f{' ∘'[1+(⊢∘.=⍨∘⌽¯1+⌊/+∘⍳1+⌈/-⌊/)⌊0.5+⍺⍺ ⍵]}Nv	Graph of scalar function f at points Nv	Dop	Monadic Function	Monadic Operator	Mathematical	draw plotting		
Xv(Am{⍉(1+⍺⍺)⊃¨⍤1⊢((~⍺⍺)\⍤1⍉⍺),¨(⍺⍺\⍤1⍉⍵)})Yv	Mesh vectors Xv and Yv differently in each column under control of Am (0:cell from Xv, 1:cell from Yv, …)	Dop	Dyadic Function	Monadic Opertor	Selection	zipping merge merging interweave interweaving interleave interleaving shuffle shuffling meshing multiple		
Xm(Am{⍉(1+⍺⍺)⊃¨⍤1⊢((~⍺⍺)\⍤1⍉⍺),¨(⍺⍺\⍤1⍉⍵)})Ym	Mesh matrices Xm and Ym differently for each column under control of Am (0:cell from Xm, 1:cell from Ym, …)	Dop	Dyadic Function	Monadic Opertor	Selection	zipping merge merging interweave interweaving interleave interleaving shuffle shuffling meshing matrix multiple column-wise		
(Iv{⍵⍀⍨(⍳(≢⍵)++/⍺⍺)∊+\1+¯1↓0,⍺⍺\⍨⍵⍵∊⍨⍳≢⍵}Jv)Y	Open a gap of Iv[i] after Y[Jv[i]] (for all i)	Dop	Monadic Function	Dyadic Operator	Structural	gaps expand		
f{1≥≢⍵:⍵ ⋄ 0((∇⍵⌿⍨>)⍪(⍵⌿⍨=)⍪∘∇⍵⌿⍨<)⍵(⍺⍺-⍺⍺⍨)⍤¯1 99⊢⍵⌷⍨⊂?≢⍵}Y	Stable quicksort using custom comparison function f (negative:left precedes right, zero:keep ordering, positive:right precedes left)	Dop	Monadic Function	Monadic Operator	Mathematical	partition-exchange customised customized defined sorting order		
∆	Delta				Expression	delta		https://help.dyalog.com/latest/#Language/Introduction/Variables/Names.htm
⍙	Delta-underscore				Expression	delta underscored delta-underbar delta-underlined		https://help.dyalog.com/latest/#Language/Introduction/Variables/Names.htm
mantEexp	Scaled Notation	Syntax	Array		Expression	exponent timestento mantissa scientific aEb xEy mEj	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMDQwMFGwVDF2NueAiWkbG//8DAA	https://help.dyalog.com/latest/#Language/Introduction/Variables/Numbers.htm
realJimag	Complex Notation	Syntax	Array		Expression	plusitimes real imaginary number Cartesian ℂ	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQOrTdU0FIw0DPlggoYeBkBBYz@/wcA	https://help.dyalog.com/latest/#Language/Introduction/Variables/Numbers.htm
¯	Negative number indicator	Syntax	Array		Expression	macron highminus minus indicate sign masking indicating	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQOrTdU0FYw5oJyDRV0FYz//wcA	https://help.dyalog.com/latest/#Language/Introduction/Variables/Numbers.htm
○2	tau (2 pi)	Constant	Expression		Circular/Trigonometric	Palais'circleconstant Palais'constant Palaisconstant 6.283185307179586476925286766559006 τ 𝜏	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQeTe82@v8fAA	https://help.dyalog.com/latest/#UserGuide/The%20APL%20Environment/User%20Commands.htm
f/⍬	Identity element for function f	Expression			mathematical	neutral ring unity	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExS09R/1ruGCcg5PB/H@/wcA	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Reduce.htm
]name	Invoke user command 'name'	Non-syntax				rightsquarebracket rightbracket usercommand ucmd calling running	https://tio.run/##SyzI0U2pTMzJT////1HfVOdI9eLEnBJ1hUfdLQqpeYlJOanBjj4h///HpiUml@QXFSuYGAEA	https://help.dyalog.com/latest/#UserGuide/The%20APL%20Environment/User%20Commands.htm
int.frac	Decimal Point	Syntax	Array		Expression	period rational	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQM9YwUDk9XMNYz@f8fAA	https://help.dyalog.com/latest/#Language/Introduction/Variables/Numbers.htm
ns.name	Namespace Member	Syntax			Expression	namespaceseparator dotinto point period	https://tio.run/##SyzI0U2pTMzJT///Xz1RXeFR31S/YIVHvWu4EvXKEosUHrVNUDAx4gIKg1hgsf//AQ	https://help.dyalog.com/latest/#Language/Introduction/Namespaces/Namespaces.htm
⍬⊤⍬	zero-by-zero numeric matrix	Constant			Expression	0⍴0 table empty void	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQ0DBQMHvVuMdBUeNS5UOFR75pHXUuA5P//AA	
1111⌶Jv	Number of Threads	I-beam	Monadic Function	Monadic Operator	Function Application	multithreading parallelprocessing performance affinity ibeam	https://tio.run/##SyzI0U2pTMzJT///Xz05t6BC/VHfVOdI9ZS0vGJ1Lq7ER20T7A0NQOBR7xYDriQ0PhdQNVBIAawz8VHHiiSFR12LFQyB4FHPNgVDdQUsokbq//8DAA	https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Number%20Of%20Threads.htm
1112⌶Js	Parallel Execution Threshold	I-beam	Monadic Function	Monadic Operator	Function Application	multithreading parallelprocessing performance affinity ibeam	https://tio.run/##SyzI0U2pTMzJT///Xz05t6BC/VHfVOdI9ZS0vGJ1Lq7ER20T7A0NgOBR7xYDriRULhdQLVBEAawv8VHHiiSFR12LFQyB4FHPNgVDdQUsokZAY4FMIyAbbBKZhvz/DwA	https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Parallel%20Execution%20Threshold.htm
127⌶⍬	Overwrite Free Pockets	I-beam	Constant	Monadic Operator	System	memory wipe ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Overwrite%20Free%20Pockets.htm
1302⌶Y	Set APLCORENAME and MAXAPLCORES configuration parameters (Y:Dv Js)	I-beam	Monadic Function	Monadic Operator	System	envvar confparam configure pattern limit count configurations ibeam Ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Set%20aplcore%20Parameters.htm
1302⌶Is	Set MAXAPLCORES configuration parameter	I-beam	Monadic Function	Monadic Operator	System	envvar confparam configure limit count ibeam Ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Set%20aplcore%20Parameters.htm
1302⌶Dv	Set APLCORENAME configuration parameter	I-beam	Monadic Function	Monadic Operator	System	envvar confparam configure pattern ibeam Ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Set%20aplcore%20Parameters.htm
160⌶0	Config file contents (unofficial)	I-beam	Monadic Function	Monadic Operator	System	envvar registry cmdline commandline command-line cli settings configuration ibeam Ibeam		
161⌶Dv	Configuration parameter value and origin (unofficial)	I-beam	Monadic Function	Monadic Operator	System	envvar registry cmdline commandline command-line cli settings file ibeam Ibeam		
180⌶Dv	Canonical Representation (⎕CR) for methods	I-beam	Monadic Function	Monadic Operator	Data Conversion	code oo classes private public shared instance ibeam converting change changing methods functions	https://tio.run/##SyzI0U2pTMzJT///38o5J7G4WCGZ61FHu0JwanJRagmXgsKj3rkKwRkZjxqWgcS5rFzzUsDquLge9U191DZB4VHnIigrWU/D0MLgUc82TQV1iH51bIqADOcguIr//wE	https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Canonical%20Representation.htm
181⌶Y	Unsqueezed Type (⎕DR)	I-beam	Monadic Function	Monadic Operator	Array Properties	datarepresentation internalrepresentation ibeam nogc without garbage collector collection compaction compacting noncompact non-compact	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAlEuQguGjtomGCoYGBgZcUHFDC8NHPduQJP7/BwA	https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Unsqueezed%20Type.htm
183⌶Dv	Name classes for pieces of function/operator Dv (unofficial)	I-beam	Monadic Function	Monadic Operator	Data Conversion	⎕XR explainrepresentation trains derived functions operators converting change changing ibeam Ibeam	https://tio.run/##SyzI0U2pTMzJT///37Es/VHbBO1HPfsPb3/UuYjrUd9UIB9I@gUpqAMl1aEihhbGj3q2gUX@/wcA	
200⌶Dv	Syntax Colouring	I-beam	Monadic Function	Monadic Operator	Data Conversion	coloring highlighting parse parsing tokentypes ibeam converting change changing		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Syntax%20Colouring.htm
2002⌶Js	Specify Workspace Available (⎕WA)	I-beam	Monadic Function	Monadic Operator	System	freememory ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Specify%20Workspace%20Available.htm
2007⌶0	Disable global triggers	I-beam	Monadic Function	Monadic Operator	System	ibeam Ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Disable%20Global%20Triggers.htm
2007⌶1	Enable global triggers	I-beam	Monadic Function	Monadic Operator	System	ibeam Ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Disable%20Global%20Triggers.htm
201⌶⍬	Syntax Colour Tokens	I-beam	Constant	Monadic Operator	Data Conversion	coloring highlighting parse parsing tokentypes ibeam converting change changing		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Syntax%20Colour%20Tokens.htm
2014⌶Y	Remove Data Binding (Windows only)	I-beam	Monadic Function	Monadic Operator	Array Properties	remove disconnect databinding delete drop without ibeam removing erasing erase eliminate eliminating deleting		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Remove%20Data%20Binding.htm
2016⌶Yv	Create .NET Delegate (Windows only)	I-beam	Monadic Function	Monadic Operator	Array Properties	make new ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Create%20.NET%20Delegate.htm
2017⌶Dv	Identify .NET Type (Windows only)	I-beam	Monadic Function	Monadic Operator	Array Properties	ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Identify%20NET%20Type.htm
2022⌶0	Flush Session Caption (Windows only)	I-beam	Constant	Monadic Operator	System	titlebar ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Flush%20Session%20Caption.htm
2023⌶0	Close all Windows	I-beam	Constant	Monadic Operator	System	shut ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Close%20All%20Windows.htm
2031⌶6	List all system primitive code points (unofficial)	I-beam	Constant	Monadic Operator	System	known to interpreter functions operators primitives' ⎕UCS built-ins report glyphs symbols squiggles ibeam Ibeam	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAVKhzsIKRgbHho55tZv//AwA	
2031⌶7	List all system function names (unofficial)	I-beam	Constant	Monadic Operator	System	known to interpreter quad-functions sysfns report ibeam Ibeam	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMDIwNH/VsM///HwA	
2035⌶Dv	Set Dyalog Pixel Type ('ScaledPixel'/'RealPixel', Windows only)	I-beam	Monadic Function	Monadic Operator	System	scaling highresolution hires retina px ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Set%20Dyalog%20Pixel%20Type.htm
2036⌶0	Disable auto-status (unofficial)	I-beam	Monadic Function	Monadic Operator	System	window pop-up popup hide suppress deactivate ibeam Ibeam		
2036⌶1	Enable auto-status (unofficial)	I-beam	Monadic Function	Monadic Operator	System	window pop-up popup show allow activate ibeam Ibeam		
2100⌶0	Export Workspace to in-Memory .NET Assembly (Windows only)	I-beam	Constant	Monadic Operator	System	ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Export%20To%20Memory.htm
2101⌶0	Close .NET AppDomain (Windows only)	I-beam	Constant	Monadic Operator	System	ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Close%20.NET%20AppDomain.htm
2250⌶0	Verify .NET Interface	I-beam	Constant	Monadic Operator	System	ibeam .netcore .netframework supported configured .netbridge dll		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Verify%20.NET%20Interface.htm
2350⌶Dv	Set list of user commands for auto-complete (unofficial)	I-beam	Constant	Monadic Operator	System	ibeam ucmd ] autocomplete autocompletion session input		
2400⌶Bs	Set Workspace Save Options	I-beam	Monadic Function	Monadic Operator	System	clear trace stop monitor flags breakpoints halt inspect monitor ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Set%20Workspace%20Save%20Options.htm
2401⌶Bs	Expose Root Properties	I-beam	Monadic Function	Monadic Operator	System	dotting ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Expose%20Root%20Properties.htm
2501⌶0	Discard parked incoming .NET threads (Windows only)	I-beam	Constant	Monadic Operator	System	ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Discard%20Thread%20on%20Exit.htm
2501⌶Bs	Discard incoming .NET thread on exit (Windows only)	I-beam	Monadic Function	Monadic Operator	System	ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Discard%20Thread%20on%20Exit.htm
2502⌶0	Discard existing used .NET threads (Windows only)	I-beam	Monadic Function	Monadic Operator	System	ibeam parked		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Discard%20Parked%20Threads.htm
2503⌶Js	Mark Thread as Uninterruptible	I-beam	Monadic Function	Monadic Operator	System	greenthreading launch run suspend suspension ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Mark%20Thread%20as%20Uninterruptible.htm
2520⌶Bs	Use Separate Thread For .NET	I-beam	Monadic Function	Monadic Operator	System	ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Use%20Separate%20Thread%20For%20.NET.htm
2704⌶Bs	Continue Autosave	I-beam	Monadic Function	Monadic Operator	System	)continue ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Continue%20Autosave.htm
3002⌶Bs	Disable Component Checksum Validation	I-beam	Monadic Function	Monadic Operator	System	dcf ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Disable%20Component%20Checksum%20Validation.htm
3012⌶Bs	Enable Compression of Large Components	I-beam	Monadic Function	Monadic Operator	System	dcf ibeam compressing >2GB		
3501⌶0	Connected to the RIDE	I-beam	Constant	Monadic Operator	System	remoteintegrateddevelopmentenvironment ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Connected%20to%20the%20RIDE.htm
3502⌶Yv	Manage RIDE Connections	I-beam	Monadic Function	Monadic Operator	System	remoteintegrateddevelopmentenvironment ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Manage%20RIDE%20Connections.htm
3503⌶Dv	Cross-platform equivalent of ⎕WC'MsgBox' (unofficial)	I-beam	Monadic Function	Monadic Operator	System	ride dialog remoteintegrateddevelopmentenvironment ibeam display Create new notification boxed query question warning msg message information popup pop-up open ask error show		
4000⌶⍬	Fork New Task (UX only)	I-beam	Constant	Monadic Operator	System	aix multithreading parallel ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Fork%20New%20Task.htm
4001⌶Dv	Change User (UX only)	I-beam	Monadic Function	Monadic Operator	System	aix multithreading parallel ibeam changing		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Change%20User.htm
4002⌶⍬	Reap Forked Tasks (UX only)	I-beam	Constant	Monadic Operator	System	aix multithreading parallel ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Reap%20Forked%20Tasks.htm
4007⌶⍬	Signal Counts (UX only)	I-beam	Constant	Monadic Operator	System	SIGHUP SIGINT SIGQUIT SIGTERM SIGWINCH ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Signal%20Counts.htm
4070⌶Y	Dyalog registry location and user documents folder (unofficial, Windows only)	I-beam	Constant	Monadic Operator	System	key home directory locate sessionfile ibeam Ibeam		
50100⌶Js	Line Count	I-beam	Monadic Function	Monadic Operator	System	⊃⎕lc ↑⎕lc linecounter number state stack suspension ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Line%20Count.htm
5170⌶0	Access "secret" Link storage location in the workspace (unofficial)	I-beam	Ambivalent Monadic Function, Dyadic Function	Monadic Operator	System	store retrieve links information ibeam Ibeam		
5171⌶Yv	Discard Source Information from all objects in the given root objects (∧/Yv∊# ⎕SE)	I-beam	Monadic Function	Monadic Operator	System	hash root workspace session namespace source-as-typed file-linked ibeam Ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Discard%20Source%20Information.htm
5172⌶Bs	Discard Source Code from functions and operators when created by editor or ⎕FIX	I-beam	Monadic Function	Monadic Operator	System	source-as-typed tokenise tokenising tokenize tokenizing reconstitute reconstituting from keeping tokens only )ed ⎕ed ibeam Ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Discard%20Source%20Code.htm
5174⌶Dv	Objects associated with the filename Dv (unofficial)	I-beam	Constant	Monadic Operator	System	associated associations associating items objects files fns functions ops operators nss namespaces classes interfaces ⎕fix source text vector ibeam string		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/List%20Loaded%20Files.htm
5176⌶0	List Loaded Files	I-beam	Constant	Monadic Operator	System	associated associations associating items objects files fns functions ops operators nss namespaces classes interfaces ⎕fix source text vector ibeam string		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/List%20Loaded%20Files.htm
5177⌶⍬	List Loaded File Objects	I-beam	Constant	Monadic Operator	System	associated associations associating items objects files fns functions ops operators nss namespaces classes interfaces ⎕fix source text vector ibeam string		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/List%20Loaded%20File%20Objects.htm
5178⌶Yv	Remove Loaded File Object Info	I-beam	Monadic Function	Monadic Operator	System	associated associations associating items objects files fns functions ops operators nss namespaces classes interfaces ⎕fix source text delete drop without ibeam remove removing erasing erase eliminate eliminating deleting string		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Remove%20Loaded%20File%20Object%20Info.htm
5179⌶Yv	Loaded File Object Info	I-beam	Monadic Function	Monadic Operator	System	associated associations associating items objects files fns functions ops operators nss namespaces classes interfaces ⎕fix source text ibeam string		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Loaded%20File%20Object%20Info.htm
60⌶D	Partition lines of D into APL tokens (unofficial)	I-beam	Monadic Function	Monadic Operator	Text	tokenise tokenize parser dyalog split chop cut identifiers ibeam segments partitions string tokenisation tokenization		
600⌶Js	Trap Control	I-beam	Monadic Function	Monadic Operator	System	debugging repl try catch error handling ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Trap%20Control.htm
739⌶0	Temporary Directory	I-beam	Constant	Monadic Operator	System	tmp ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Temporary%20Directory.htm
8468⌶0	Reset Hash Table Size to default value	I-beam	Constant	Monadic Operator	System	performance searchfunctions hashtables hasharray		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Hash%20Table%20Size.htm#Hash_Table_Size
8468⌶⍬	Report Hash Table Size	I-beam	Constant	Monadic Operator	System	performance searchfunctions hashtables hasharray return query give current value of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Hash%20Table%20Size.htm#Hash_Table_Size
8468⌶Is	Increase Hash Table Size to default×2*Is (Is∊1 2 3)	I-beam	Monadic Function	Monadic Operator	System	performance searchfunctions hashtables hasharray		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Hash%20Table%20Size.htm#Hash_Table_Size
8469⌶0	Reset Lookup Table Size to default value	I-beam	Constant	Monadic Operator	System	performance searchfunctions hashtables hasharray		http://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Lookup%20Table%20Size.htm
8469⌶⍬	Lookup Table Size	I-beam	Constant	Monadic Operator	System	performance searchfunctions hashtables hasharray return query give current value of		http://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Lookup%20Table%20Size.htm
8469⌶Is	Set Lookup Table Size to Is bytes (1≤Is≤16777216)	I-beam	Monadic Function	Monadic Operator	System	performance searchfunctions hashtables hasharray		http://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Lookup%20Table%20Size.htm
8415⌶Nm	Singular Value Decomposition	I-beam	Monadic Function	Monadic Operator	Mathematical	⌹ ibeam SVD		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Singular%20Value%20Decomposition.htm
8659⌶⍬	List shared code files	I-beam	Constant	Monadic Operator	System	report workspace ibeam Ibeam		https://docs.dyalog.com/latest/Shared%20Code%20Files%20User%20Guide.pdf
900⌶Y	Called Monadically? (tradfns/tradops only, Y can be any array)	I-beam	Monadic Function	Monadic Operator	Function Application	arity ambivalent ambivalence variadic leftargument ⎕nc 40⎕ATX ibeam monadic? applied		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Called%20Monadically.htm
950⌶⍬	Loaded Libraries	I-beam	Constant	Monadic Operator	System	⎕na .dll .so .dylib .a c++ dynamiclinkedlibrary sharedlibrary dynamiclibrary ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Loaded%20Libraries.htm
⎕UCS 0	Null character (NUL)	Constant	Expression		Text	\0 ^@ U+00 0x00h \u00 %00 string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYAMr2B/PxAd6hysYPD/PwA	https://help.dyalog.com/latest/#Language/System%20Functions/ucs.htm
⎕UCS 10	Line Feed (LF)	Constant	Expression		Text	\n ^J U+0D 0x0Ah \u0A %0A newline linefeed string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYAMr2B/PxAd6hysYGjw/z8A	https://help.dyalog.com/latest/#Language/System%20Functions/ucs.htm
⎕UCS 11	Vertical Tab character (VT)	Constant	Expression		Text	\v ^K U+00 0x00h \u00 %00 tabulation string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYAMr2B/PxAd6hysYGj4/z8A	https://help.dyalog.com/latest/#Language/System%20Functions/ucs.htm
⎕UCS 12	Form Feed character (FF)	Constant	Expression		Text	\f ^L U+00 0x00h \u00 %00 string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYAMr2B/PxAd6hysYGj0/z8A	https://help.dyalog.com/latest/#Language/System%20Functions/ucs.htm
⎕UCS 127	Delete character (DEL)	Constant	Expression		Text	\e ^[ U+0A 0x0Dh \u0D %0D carriagereturn remove removing erasing erase eliminate eliminating deleting string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYAMr2B/PxAd6hysYGhk/v8/AA	https://help.dyalog.com/latest/#Language/System%20Functions/ucs.htm
⎕UCS 13	Carriage Return character (CR)	Constant	Expression		Text	\r ^M U+0D 0x0Dh \u0D %0D carriagereturn string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYAMr2B/PxAd6hysYGj8/z8A	https://help.dyalog.com/latest/#Language/System%20Functions/ucs.htm
⎕UCS 13 10	Carriage Return-Line Feed pair (CRLF)	Constant	Expression		Text	\r\n U+0DU+0A 0x0D0x0A \u0D\u0A %0D%0A enter linebreak windows string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYAMr2B/PxAd6hysYGisYGjw/z8A	https://help.dyalog.com/latest/#Language/System%20Functions/ucs.htm
⎕UCS 26	End-Of-File character (EOF)	Constant	Expression		Text	SUB ^Z U+0A 0x0Dh \u0D %0D carriagereturn string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYAMr2B/PxAd6hysYGT2/z8A	https://help.dyalog.com/latest/#Language/System%20Functions/ucs.htm
⎕UCS 27	Escape character (ESC)	Constant	Expression		Text	\e ^[ U+0A 0x0Dh \u0D %0D carriagereturn string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYAMr2B/PxAd6hysYGT@/z8A	https://help.dyalog.com/latest/#Language/System%20Functions/ucs.htm
⎕UCS 7	Bell character (BEL)	Constant	Expression		Text	\a ^G U+07 0x07h \u07 %07 beep string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYAMr2B/PxAd6hysYP7/PwA	https://help.dyalog.com/latest/#Language/System%20Functions/ucs.htm
⎕UCS 8	Backspace character (BS)	Constant	Expression		Text	\b ^H U+08 0x08h \u08 %08 string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYAMr2B/PxAd6hysYPH/PwA	https://help.dyalog.com/latest/#Language/System%20Functions/ucs.htm
⎕UCS 9	Horizontal Tab character (HT)	Constant	Expression		Text	\t ^I U+00 0x00h \u00 %00 tabulation string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQMFYAMr2B/PxAd6hysYPn/PwA	https://help.dyalog.com/latest/#Language/System%20Functions/ucs.htm
⋄	Statement Separator	Syntax			Expression	diamond statementseparator break stop else then segmented separated delimiter	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtE9Tz81LVFR51tyhA@SXl@er//wMA	https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/TradFns/Statements.htm
:Namespace	Declare container object without accesss restrictions	Syntax	Control	Structure	Expression	containerise containerize containerisation containerization locale scope symbol-table dotting		https://help.dyalog.com/latest/Content/Language/Control%20Structures/namespace.htm
:If	:If bx ⋄ block ⋄ :AndIf bx│:OrIf bx ⋄ block ⋄ :ElseIf bx│:Else ⋄ block ⋄ :EndIf	Syntax	Control	Structure	Expression	conditional ternary branch ⍣ tradfn	https://tio.run/##SyzI0U2pTMzJT////1FHu0LRo7YJafn5XAoKVp5pCoZAWgEspl6ZWqwOEnXNS/FMg0obIKTz8pFkgQZxPeqbChRXAJr1/z8A	https://help.dyalog.com/latest/#Language/Control%20Structures/if.htm
:Implements Constructor	Function is a class constructor	Syntax	Control	Keyword	Expression	declaration declare oo objectorientation tradfn	https://tio.run/##SyzI0U2pTMzJT///38o5J7G4WCGZSwEIHnW0KziX5BeBOQoKVo7JyalAyYLSpJzMZJigZ25BTmpual4JUFd@XnFJUWkyQsujvqmP2iaoe2QqqsNM5LJyzUsB2/L/P1DazzVcIRkA	https://help.dyalog.com/latest/#Language/Object%20Oriented%20Programming/Constructors/Constructors.htm
:Implements Destructor	Function is a class destructor	Syntax	Control	Keyword	Expression	declaration declare oo objectorientation tradfn	https://tio.run/##SyzI0U2pTMzJT///38o5J7G4WCGZSwEIHnW0K7iU5BeBOQoKVp65BTmpual5JcUKKanFJUWlyQjJR31TH7VNUHeqTFVUh2nmsnLNSwEb@P8/UN7PNVwhGQA	https://help.dyalog.com/latest/#Language/Object%20Oriented%20Programming/Constructors/Destructors.htm
:Interface	Declare protocol for object methods	Syntax	Control	Structure	Expression	interfacing trait api		https://help.dyalog.com/latest/Content/Language/Control%20Structures/interface.htm
:Access Overridable	Allow derived class to redefine method (tradfn) for when it is called inside base class code	Syntax	Control	Keyword	Expression	declaration declare oo objectorientation virtual tradfn		https://help.dyalog.com/latest/#Language/Object%20Oriented%20Programming/Class%20Members/Methods/Superceding%20Base%20Class%20Methods.htm
:Access Override	Redefine base class method (tradfn) so it can be called from inside base class code	Syntax	Control	Keyword	Expression	declaration declare oo objectorientation Overrides tradfn		https://help.dyalog.com/latest/#Language/Object%20Oriented%20Programming/Class%20Members/Methods/Superceding%20Base%20Class%20Methods.htm
:Access Public	Make class method (tradfn) visible and callable from outside the class	Syntax	Control	Keyword	Expression	declaration declare oo objectorientation tradfn		https://help.dyalog.com/latest/#Language/Object%20Oriented%20Programming/Class%20Members/Methods/Methods.htm
:Access Shared	Make class method (tradfn) run in class rather than in instance of class	Syntax	Control	Keyword	Expression	declaration declare oo objectorientation static tradfn		https://help.dyalog.com/latest/#Language/Object%20Oriented%20Programming/Class%20Members/Methods/Shared%20Methods.htm
:Access WebMethod	Same as :Access Public with :Attribute System.Web.Services.WebMethodAttribute	Syntax	Control	Keyword	Expression	declaration declare oo objectorientation .NET tradfn		https://help.dyalog.com/latest/#DotNet/Writing%20Web%20Services/Exporting%20Methods.htm
:Class	Declare object template with optional fields, methods, and properties	Syntax	Control	Structure	Expression	oop object-oriented programming encapsulation capsule access restriction		https://help.dyalog.com/latest/Content/Language/Control%20Structures/class.htm
:Continue	Start iteration of the immediately surrounding :For/:Repeat/:While loop	Syntax	Control	Keyword	Expression	continuation beginning leading iterate iterating tradfn		https://help.dyalog.com/latest/#Language/Control%20Structures/continue.htm
:For	:For var :In│:InEach ax ⋄ block ⋄ :EndFor	Syntax	Control	Structure	Expression	loop count iteration ¨ iterate iterating tradfn		https://help.dyalog.com/latest/#Language/Control%20Structures/for.htm
:GoTo J	Branch to line or label J	Syntax	Control	Keyword	Expression	switch → tradfn	https://tio.run/##SyzI0U2pTMzJT/8PBI862hXc8vO5FBQe9U191DZB3c1QHcixcs8PyVcI9vYMQJIxAsqAhKyQxIzVuYBGcAGNAAA	https://help.dyalog.com/latest/#Language/Control%20Structures/goto.htm
:Hold	:Hold tkn ⋄ block ⋄ :Else ⋄ block ⋄ :EndHold	Syntax	Control	Structure	Expression	synchronisation synchronization parallel threading tokens greenthreading tradfn		https://help.dyalog.com/latest/#Language/Control%20Structures/hold.htm
:Leave	Terminate execution :For/:Repeat/:While block	Syntax	Control	Keyword	Expression	break earlyexit loop tradfn		https://help.dyalog.com/latest/#Language/Control%20Structures/leave.htm
:Repeat	:Repeat ⋄ block ⋄ :Until bx ⋄ block ⋄ :AndIf bx│:OrIf bx	Syntax	Control	Structure	Expression	loop iteration ⍣ iterate iterating tradfn		https://help.dyalog.com/latest/#Language/Control%20Structures/repeat.htm
:Repeat	:Repeat ⋄ block ⋄ :EndRepeat	Syntax	Control	Structure	Expression	loop iteration ⍣ iterate iterating tradfn		https://help.dyalog.com/latest/#Language/Control%20Structures/repeat.htm
:Return	Abort (cut stack back one frame)	Syntax	Control	Keyword	Expression	→0 stop tradfn		https://help.dyalog.com/latest/#Language/Control%20Structures/return.htm
:Section	Split function/script up into sections with no effect on execution	Syntax	Control	Structure	Expression	no-op collapse expand editor hide show organise organize code organisation organization tradfn namespace class		https://help.dyalog.com/latest/Content/Language/Control%20Structures/section.htm
:Select	:Select ax ⋄ :Case val│:CaseList val ⋄ block ⋄ :Else ⋄ block ⋄ :EndSelect	Syntax	Control	Structure	Expression	switch inspect multiwaybranch tradfn		https://help.dyalog.com/latest/#Language/Control%20Structures/select.htm
:Trap	:Trap ecode ⋄ block ⋄ :Case ecode│:CaseList ecode ⋄ block ⋄ :Else ⋄ block ⋄ :EndTrap	Syntax	Control	Structure	Expression	try catch errorhandling trapping exception tradfn		https://help.dyalog.com/latest/#Language/Control%20Structures/trap.htm
:While	:While bx ⋄ block ⋄ :AndIf bx│:OrIf bx ⋄ block ⋄ :EndWhile	Syntax	Control	Structure	Expression	loop do iteration ⍣ iterate iterating tradfn		https://help.dyalog.com/latest/#Language/Control%20Structures/while.htm
:While	:While bx ⋄ block ⋄ :AndIf bx│:OrIf bx ⋄ block ⋄ :Until bx ⋄ block ⋄ :AndIf bx│:OrIf bx	Syntax	Control	Structure	Expression	loop do iteration ⍣ iterate iterating tradfn		https://help.dyalog.com/latest/#Language/Control%20Structures/while.htm
:With	:With ns ⋄ block ⋄ :EndWith	Syntax	Control	Structure	Expression	scope namespace object tradfn		https://help.dyalog.com/latest/#Language/Control%20Structures/with.htm
bx:Y	Dfn/dop Guard (conditional result)	Syntax			Expression	if ternary		https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/DynamicFunctions/Guards.htm
name:	Label for → and :GoTo	Syntax	Control	Structure	System	line number jump target	https://tio.run/##SyzI0U2pTMzJT/8PBI862hXc8vO5FBQe9U191DZB3c1QHcRpmxTs7RmAJGwEFAYJWSGJGatzAfVzAfUDAA	https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/TradFns/Statements.htm
#	Reference to workspace root namespace	Constant			System	top hashtag numbersign poundsign	https://tio.run/##SyzI0U2pTMzJT/8PBGWJRQqP2iYoqBfl55eoc6knqis86pvqF6zwqHcNV6IeUBooq56TmpimzsUFlAGpBQsjOMogLgA	https://help.dyalog.com/latest/#Language/Introduction/Namespaces/Namespaces.htm
'	Character delimiter	Syntax	Array		Expression	quote apostrophe string text segmented separated separator	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUE5OS1blgHFN1BVsF0///AQ	https://help.dyalog.com/latest/#Language/Introduction/Variables/Characters.htm
⍝	Comment symbol (disables rest of line)	Syntax			Expression	R2D2 commentout lamp ignore skip note nb	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUK1OL1RUUHvXOVYCJ5OWrcyHzE3OK8xXy8kvU//8HAA	https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/TradFns/Statements.htm
)CMD cmd	Execute cmd (cmd is mandatory on Windows, optional on UNIX)	Non-syntax			System Command	shell dos operatingsystem commandprocessor		https://help.dyalog.com/latest/#Language/System%20Commands/cmd.htm
)CLEAR	Clear active workspace	Non-syntax			System Command	new refresh empty erase delete remove purge expunge reset all ⎕clear drop without removing erasing eliminate eliminating deleting	https://tio.run/##SyzI0U2pTMzJT/8PBI/6pnr6Kzxqm6BgwJUIpg0VjBSMuZLAbPXEpGR1LqAaEAesFMZJVEji0nT2cXUM4oKIAwUA	https://help.dyalog.com/latest/#Language/System%20Commands/clear.htm
)CONTINUE	Save active workspace as CONTINUE and terminate session	Non-syntax			System Command	exit repl stop close ⎕off )off ⎕save quit		https://help.dyalog.com/latest/#Language/System%20Commands/continue.htm
)ERASE nms	Delete named objects from the active workspace	Non-syntax			System Command	unbinding unassigning deassigning clearing remove removing ⎕ex expunge expunging items dropping functions variables operators namespaces GUI classes interfaces instances removing erasing erase eliminate eliminating deleting SYNTAX ERROR: Can't change nameclass on assignment Invalid modified assignment, or an attempt was made to		https://help.dyalog.com/latest/#Language/System%20Commands/erase.htm
)HOLDS	List tokens currently held (acquired by :Hold)	Non-syntax			System Command	synchronisation synchronization parallel threading greenthreading vector		https://help.dyalog.com/latest/#Language/System%20Commands/holds.htm
)OFF	Terminate the session	Non-syntax			System Command	exit repl stop close ⎕off )continue	https://tio.run/##SyzI0U2pTMzJT/8PBJr@bm5cJRmZxQrl@XnqJQqpRUX5RQA	https://help.dyalog.com/latest/#Language/System%20Commands/off.htm
)SH cmd	Execute cmd (cmd is mandatory on Windows, optional on UNIX)	Non-syntax			System Command	shell os operatingsystem commandprocessor ⎕sh linux macos aix rasbianpios		https://help.dyalog.com/latest/#Language/System%20Commands/sh.htm
)name	invoke system command 'name'	Non-syntax				rightroundparentheses rightparenthesis systemcommand syscmd calling		https://help.dyalog.com/latest/#Language/System%20Commands/Introduction.htm
0=≡Y	Fast: Is Y a Simple Scalar?	Expression		Performance	Array Properties	testif speed optimised optimized quick simple? idiom flat?		
1=≡Y	Fast: Is Y a Simple Non-scalar?	Expression		Performance	Array Properties	testif speed optimised optimized quick simple? nonscalar? idiom flat?		
≢⍴Y	Fast: The rank of Y as a scalar	Expression		Performance	Array Properties	speed optimised optimized quick numberofdimensions tensorrank dimensions axes idiom		
⍴⍴Y	Fast: The rank of Y as a 1-element vector	Expression		Performance	Array Properties	speed optimised optimized quick list dimensions axes idiom		
*○N	Fast: Euler's idiom (accurate when N is a multiple of 0J0.5)	Expression		Performance	Mathematical	speed optimised optimized quick		
⌈/⍬	Negative “infinity” (the smallest representable value)	Constant			Expression	system internal representation lower limit -∞ ¯∞ ¯¯ negativeinfinity -∞ mostnegative least number		
⌊/⍬	Positive “infinity” (the largest representable value)	Constant			Expression	system internal representation upper limit ∞ ∞ ¯ negativeinfinity ∞ mostpositive biggest greatestif number		
⊃⌽Y	Fast: The item in the top right of Y	Expression		Performance	Selection	speed optimised optimized quick top-right ne northeast north-east cell element idiom		
Bv/⍳Ns	Fast: The subset of ⍳Ns corresponding to the 1s in Bv	Expression		Performance	Index Generation	speed optimised optimized quick ones trues truths idiom		
0∊⍴Y	Fast: Is Y empty?	Expression		Performance	Array Properties	testif speed optimised optimized quick idiom		
X f[ax]Y	f between X and Y along axis ax	Syntax	Dyadic Function	Monadic Operator	Function Application	squarebrackets axisoperator dimension		https://help.dyalog.com/latest/#Language/Primitive%20Operators/Axis%20with%20Dyadic%20Operand.htm
f[ax]Y	f on Y along axis/axes ax	Syntax	Monadic Function	Monadic Operator	Function Application	squarebrackets axisoperator		https://help.dyalog.com/latest/#Language/Primitive%20Operators/Axis%20with%20Monadic%20Operand.htm
]MSWIN.Assemblies	List all .NET assemblies currently loaded into memory	Non-syntax	Ucmd	MSWIN	User command	commands Microsoft Windows operating system ]Assemblies .dlls .so .dylib Framework Core assembly sharedlibraries sharedlibrary dynamiclinkedlibraries dynamiclinkedlibrary		
]MSWIN.Caption	Query or change window captions	Non-syntax	Ucmd	MSWIN	User command	commands Microsoft Windows operating system ]Caption titlebar titletext set get session changing converting conversion		
]MSWIN.CopyReg	Copy registry entries to file and, optionally, between Dyalog versions	Non-syntax	Ucmd	MSWIN	User command	commands Microsoft Windows operating system ]CopyReg migrate userprofile usersettings from		
]MSWIN.FileAssociations	Configure Microsoft Windows to associate directories and files with a specific Dyalog instance (optionally through a GUI)	Non-syntax	Ucmd	MSWIN	User command	commands Microsoft Windows operating system ]FileAssociations openwith specific version changing converting conversion		
]MSWIN.GUIProps	List property names and values for given or current object	Non-syntax	Ucmd	MSWIN	User command	commands Microsoft Windows operating system ]GUIProps key-value pairs dictionary properties		
]MSWIN.KeyPress	Return message arguments of KeyPress events	Non-syntax	Ucmd	MSWIN	User command	commands Microsoft Windows operating system ]KeyPress view details display show		
]NS.Xref	Describe the inter-object cross-references in a class/namespace/scriptfile	Non-syntax	Ucmd	NS	User command	commands to namespaces ]Xref symbols symbolusage		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////H@gXrRRSlpino2tsDAA
]NS.ScriptUpdate	Synchronise namespace/class script to match current content	Non-syntax	Ucmd	NS	User command	commands namespaces ]ScriptUpdate synchronize align textualrepresentation		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////H@gXrBScXZRaUhBakJJakKuja2wMA
]NS.Summary	Summarise (scope, size, syntax) the functions in a namespace/class/scriptfile	Non-syntax	Ucmd	NS	User command	commands to namespaces ]Summary list show display		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////H@gXrBZfm5iYWVSro2tsDAA
]CALC.Factors	Determine the prime factors of the argument	Non-syntax	Ucmd	CALC	User command	commands manipulation data ]Factors		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////HOjv6OOu5JSaX5BcVK@ja2wMA
]CALC.FromHex	Convert a list of hexadecimal representations of integers to a numeric vector	Non-syntax	Ucmd	CALC	User command	commands manipulation data ]FromHex Conversion converting change changing		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////HOjv6OOu5FeXneqRWKOja2wMA
]CALC.PivotTable	Create a pivot table from an appropriate matrix	Non-syntax	Ucmd	CALC	User command	commands to manipulation of data ]PivotTable		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////HOjv6OOsFZJbll4SAhBV07e0B
]CALC.ToHex	Convert integer(s) to a vector of text vectors containing the hexadecimal representation of each number	Non-syntax	Ucmd	CALC	User command	commands manipulation data ]ToHex lists Conversion converting change changing string		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////HOjv6OOuF5HukVijo2tsDAA
]DEVOPS.DBuild	Run one or more DyalogBuild script files (.dyalogbuild)	Non-syntax	Ucmd	DEVOPS	User command	commands to development operations ]DBuild		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////HuriG@QcE67k4lWbmpCjo2tsDAA
]DEVOPS.DTest	Run (a selection of) functions named test_* from a namespace, file or directory	Non-syntax	Ucmd	DEVOPS	User command	commands development operations ]DTest		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////HuriG@QcE67mEpBaXKOja2wMA
]EXPERIMENTAL.Get	Fetch data/code in many formats from local or remote sources	Non-syntax	Ucmd	EXPERIMENTAL	User command	commands future ]Get import load ⎕FIX link acre archive online download github repository unpack .apla .aplc .aplf .apli .apln .aplo .charlist .charmat .charstring .charvec .class .csv .dcf .dcfg .dws .dyalog .function .interface .js .json .json5 .operator .script .tsv .xml .zip		
]FN.Align	Align end-of-line comments	Non-syntax	Ucmd	FN	User command	commands to functions operators ]Align		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////HuvnpOeZkpucp6NrbAwA
]FN.Calls	Produce the calling tree of a function in a class/namespace/scriptfile	Non-syntax	Ucmd	FN	User command	commands to functions operators ]Calls		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////HuvnpOSfm5BQr6NrbAwA
]FN.Compare	Compare two functions	Non-syntax	Ucmd	FN	User command	commands to operators ]Compare		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////HuvnpOefnFiQWpSro2tsDAA
]FN.DInput	Define a multi-line dfn, dop or derived function/operator, or execute a multi-line expression	Non-syntax	Ucmd	FN	User command	commands functions operators ]DInput multiline		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////HuvnpuXjmFZSWKOja2wMA
]FN.Defs	List single-line dfns, dops, derived functions and trains	Non-syntax	Ucmd	FN	User command	commands to operators ]Defs		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////HuvnpuaSmFSvo2tsDAA
]FN.Latest	List functions modified since a specified date (default is today), most-recently-changed first	Non-syntax	Ucmd	FN	User command	commands operators ]Latestif 1st		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Huvnp@SSWpBaXKOja2wMA
]FN.ReorderLocals	Sort local names in the header of tradfns and tradops	Non-syntax	Ucmd	FN	User command	commands to functions operators ]ReorderLocals sorting reordering ordering		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////HuvnpBaXmF6WkFvnkJyfmFCvo2tsDAA
]FILE.CD	Report (and, optionally, change) the current directory	Non-syntax	Ucmd	FILE	User command	commands pwd current working files ]CD changing converting conversion		
]FILE.Compare	Compare two component files	Non-syntax	Ucmd	FILE	User command	commands to ]Compare		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hunn6uOo55@cWJBalKuja2wMA
]FILE.Collect	Split a single file into (up to 999) smaller files	Non-syntax	Ucmd	FILE	User command	commands ]Split chop cut pieces		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hunn6uOo55@fkpCaXKOja2wMA
]FILE.Open	Open a file or directory with the specified application	Non-syntax	Ucmd	FILE	User command	commands files ]Open		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hunn6uOr5F6TmKeja2wMA
]FILE.ToQuadTS	Convert a component file timestamp (single float number) to ⎕TS format (vector of 7 numbers)	Non-syntax	Ucmd	FILE	User command	commands files ]ToQuadTS list ymdhmst ymdhmsf Conversion converting change changing		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hunn6uOqF5AeWJqaEBCvo2tsDAA
]LINK.Import	Import a namespace from a directory (create the namespace if absent); does not create a link	Non-syntax	Ucmd	LINK	User command	commands namespace-directory synchronization synchronise synchronize synchronisation scm sourcecodemanagement ]Import load get fetch read		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////H@nj6eet55hbkF5Uo6NrbAwA
]LINK.Add	Associate item in linked namespace with new file/directory in corresponding directory	Non-syntax	Ucmd	LINK	User command	commands namespace-directory synchronization synchronise synchronize synchronisation scm sourcecodemanagement ]Add		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////H@nj6ees5pqQo6NrbAwA
]LINK.Break	Break link between namespace and corresponding directory	Non-syntax	Ucmd	LINK	User command	commands namespace-directory synchronization synchronise synchronize synchronisation scm sourcecodemanagement ]Break stop cut		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////H@nj6ees5FaUmZivo2tsDAA
]LINK.Create	Link a namespace with a directory (create one or both if absent)	Non-syntax	Ucmd	LINK	User command	commands namespace-directory synchronization synchronise synchronize synchronisation scm sourcecodemanagement ]Create establish		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////H@nj6ees5F6UmlqQq6NrbAwA
]LINK.Export	Export a namespace to a directory (create the directory if absent); does not create a link	Non-syntax	Ucmd	LINK	User command	commands namespace-directory synchronization synchronise synchronize synchronisation scm sourcecodemanagement ]Export save put write ]snap ]salt.snap		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////H@nj6eeu5VhTkF5Uo6NrbAwA
]LINK.Expunge	Erase item and associated file	Non-syntax	Ucmd	LINK	User command	commands namespace-directory synchronization synchronise synchronize synchronisation scm sourcecodemanagement ]Expunge delete remove removing erasing eliminate eliminating deleting		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////H@nj6eeu5VhSU5qWnKuja2wMA
]LINK.GetItemName	Return name of item associated with file	Non-syntax	Ucmd	LINK	User command	commands namespace-directory synchronization synchronise synchronize synchronisation scm sourcecodemanagement ]GetItemName		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////H@nj6eeu5p5Z4lqTm@iXmpiro2tsDAA
]LINK.GetFileName	Return name of file associated with item	Non-syntax	Ucmd	LINK	User command	commands namespace-directory synchronization synchronise synchronize synchronisation scm sourcecodemanagement ]GetFileName		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////H@nj6eeu5p5a4Zeak@iXmpiro2tsDAA
]LINK.Refresh	Fully synchronise namespace-directory content	Non-syntax	Ucmd	LINK	User command	commands resynchronization resynchronise resynchronize resynchronisation ]Refresh reload		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////H@nj6eesFpaYVpRZnKOja2wMA
]LINK.Status	List active namespace-directory links	Non-syntax	Ucmd	LINK	User command	commands synchronization synchronise synchronize synchronisation scm sourcecodemanagement ]List report count		
]OUTPUT.Box	Display output with borders indicating shape, type and structure	Non-syntax	Ucmd	OUTPUT	User command	commands trains tacit functions trees treeview boxes displayed displaying fancy format linedrawing pseudographics pseudographical boxdrawing ]Box cells elements indicate		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////H@oeGBISG6DnlVyjo2tsDAA
]OUTPUT.Boxing	Display output with borders indicating shape, type and structure	Non-syntax	Ucmd	OUTPUT	User command	commands trains tacit functions trees treeview boxes displayed displaying fancy format linedrawing pseudographics pseudographical boxdrawing ]Boxing cells elements indicate		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////H@oeGBISG6DnlV2TmpSvo2tsDAA
]OUTPUT.Disp	Display specified array with borders indicating sub-array shape and type	Non-syntax	Ucmd	OUTPUT	User command	commands displayed displaying fancy format linedrawing pseudographics pseudographical boxdrawing ]Disp subarray cells elements indicate		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////H@oeGBISG6LlkFhco6NrbAwA
]OUTPUT.Display	Display specified array with borders indicating array and sub-array shape and type	Non-syntax	Ucmd	OUTPUT	User command	commands displayed displaying fancy format linedrawing pseudographics pseudographical boxdrawing ]Display subarray cells elements indicate		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////H@oeGBISG6LlkFhfkJFYq6NrbAwA
]OUTPUT.Find	Precede output with a reference to the line of code that generated it	Non-syntax	Ucmd	OUTPUT	User command	commands displayed displaying ]Find report where what code which function caused printed prints stdout		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////H@oeGBISG6Lll5qUo6NrbAwA
]OUTPUT.Format	Format text into vector of text vectors (or matrix if called from Session) to fit ⎕PW using specified margins	Non-syntax	Ucmd	OUTPUT	User command	commands displayed displaying ]Format table lists textlayout specification specifying string		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////H@oeGBISG6LnlF@Umlijo2tsDAA
]OUTPUT.HTML	Render HTML or SVG	Non-syntax	Ucmd	OUTPUT	User command	commands displayed displaying ]HTML chrome chromium cef htmlrenderer window		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////H@oeGBISG6HmE@Poo6NrbAwA
]OUTPUT.Layout	Format text into vector of text vectors (or matrix if called from Session) to fit ⎕PW using margins inferred from the text	Non-syntax	Ucmd	OUTPUT	User command	commands displayed displaying ]Layout table lists textlayout inferring string		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////H@oeGBISG6PkkVuaXlijo2tsDAA
]OUTPUT.Plot	Plot data using any of the SharpPlot graph types	Non-syntax	Ucmd	OUTPUT	User command	commands displayed displaying ]Plotting drawing curve graphing charting Bar Box Bubble Cloud Contour Dial Gantt Histogram Line MinMax Pie Polar Response Scatter Step Table Tower Trace TreeMap Triangle Vector XBar		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////H@oeGBISG6AXk5Jco6NrbAwA
]OUTPUT.Repr	Represent given value as APL/APLAN/JS/JSON/XML/CSV/SSV/PSV/TSV	Non-syntax	Ucmd	OUTPUT	User command	representing representation of generate toexpression for show definition stringify serialise serialize serialisation serialization text commands displayed displaying ]representing expression Array Notation JavaScript Object Extensible Markup Language Comma Separated Values Semi-colon Pipe Tab export save file segmented separator delimiter		
]OUTPUT.Rows	Cut, wrap, fold or extend the display of output lines to fit the Session window	Non-syntax	Ucmd	OUTPUT	User command	commands displayed displaying ]Rows folding cells elements limit fitting maximum columns characters screen ellipsis ellipses preventing text long wrapping lines... … string turn off disable disabling enable allow extending beyon right edge long wide lengthen terminal width		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////H@oeGBISG6AXllxcr6NrbAwA
]OUTPUT.View	Evaluate and view in a read-only Editor window	Non-syntax	Ucmd	OUTPUT	User command	commands displayed displaying ]Viewing showing popup pop-up viewer		
]PERFORMANCE.Profile	Report performance details (optionally through GUI)	Non-syntax	Ucmd	PERFORMANCE	User command	commands consumption computing resources ]Profile drilldown piechart time spent tuning tune		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////HBrgGufkH@Tr6ObvqBRTlp2XmpCro2tsDAA
]PERFORMANCE.RunTime	Report execution time of one or more expressions	Non-syntax	Ucmd	PERFORMANCE	User command	commands expressioncomparison histogram ⎕ML milliseconds speed commands consumption computing resources ]RunTime measure elapsed ms comparison cmpx tuning tune compare		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////HBrgGufkH@Tr6ObvqBZXmhWTmpiro2tsDAA
]PERFORMANCE.SpaceNeeded	Compute memory needed to run expression(s)	Non-syntax	Ucmd	PERFORMANCE	User command	commands consumption computing resources ]SpaceNeeded ram workspace necessary expressions used usage taken required requirements		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////HBrgGufkH@Tr6ObvqBRckJqf6paampKYo6NrbAwA
]SALT.Boot	Boot from a file containing instructions or a function	Non-syntax	Ucmd	SALT	User command	commands covers ]Boot startup run initialise initialize		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hgmg9p/z8EgVde3sA
]SALT.Clean	Remove SALT tags from the ws or specific items so that SALT no longer saves changes to associated files	Non-syntax	Ucmd	SALT	User command	commands covers ]Clean delete drop without removing erasing erase eliminate eliminating deleting		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hgmg955zUxDwFXXt7AA
]SALT.Compare	Compare two versions of a SALTed item	Non-syntax	Ucmd	SALT	User command	commands covers ]Compare diff scm sourcecodemanagement		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hgmg95/zcgsSiVAVde3sA
]SALT.List	List files (default: .dyalog only) and directories in the specified directory	Non-syntax	Ucmd	SALT	User command	commands covers ]List ls		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hgmg9n8ziEgVde3sA
]SALT.Load	Load item from native text file	Non-syntax	Ucmd	SALT	User command	commands covers ]Load fetch get import read string		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hgmg9n/zEFAVde3sA
]SALT.Refresh	Reload all SALTed items from their associated files	Non-syntax	Ucmd	SALT	User command	commands covers ]Refresh synchronise synchronize		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hgmi9oNS0otTiDAVde3sA
]SALT.RemoveVersions	Remove one or more versions of a file managed by SALT	Non-syntax	Ucmd	SALT	User command	commands covers ]RemoveVersions delete drop without scm sourcecodemanagement removing erasing erase eliminate eliminating deleting		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hgmi9oNTc/LLUsNSi4sz8vGIFXXt7AA
]SALT.Save	Save item in a native text file (default: same place if already SALTed)	Non-syntax	Ucmd	SALT	User command	commands covers ]Save export put write string		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hgmi94MSyVAVde3sA
]SALT.Set	Return one or all parameters or set one parameter	Non-syntax	Ucmd	SALT	User command	commands covers parametres ]settings ]salt.settings		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hgmi94NQSBV17ewA
]SALT.Settings	Return one or all parameters or set one parameter	Non-syntax	Ucmd	SALT	User command	commands covers ]Settings parametres		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hgmi94NSSksy89GIFXXt7AA
]SALT.Snap	Save all new or modified items to native text files (unscripted namespaces become directories)	Non-syntax	Ucmd	SALT	User command	commands covers ]Snap export directory folder tree put snapshot string		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hgmi94LzEAgVde3sA
]TOOLS.ADoc	Generate documentation automatically	Non-syntax	Ucmd	TOOLS	User command	Development commands ]ADoc html report render		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hhvj7@wTrObrkJyvo2tsDAA
]TOOLS.APLCart	Access this collection of short APL phrases	Non-syntax	Ucmd	TOOLS	User command	Development commands ]APLCart search idioms how-to query aplcart.info askingadam askingadám askadam askadám abrudz a.brudz a_brudz		https://github.com/abrudz/aplcart#usage
]TOOLS.Chart	Chart the specified expression using a GUI wizard	Non-syntax	Ucmd	TOOLS	User command	Development commands ]Charting drawing plotting sharpplotting graphical curve draw Bar Box Bubble Cloud Contour Dial Gantt Histogram Line MinMax Pie Polar Response Scatter Step Table Tower Trace TreeMap Triangle Vector XBar		
]TOOLS.Calendar	Display calendar	Non-syntax	Ucmd	TOOLS	User command	Development commands ]Calendar current next previous year month		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hhvj7@wTrOSfmpOalJBYp6NrbAwA
]TOOLS.Config	Display value of configuration parameters (optionally with origin)	Non-syntax	Ucmd	TOOLS	User command	Development commands ]config query envvars cmdline shell call startup values settings registry entries cli environment variables		
]TOOLS.Demo	Provide playback mechanism for live demonstrations	Non-syntax	Ucmd	TOOLS	User command	Development presentation commands ]Demo automatic execution automation		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hhvj7@wTruaTm5ivo2tsDAA
]TOOLS.Help	Browse or get link to information about any APL concept	Non-syntax	Ucmd	TOOLS	User command	Development commands ]Help documentation online url		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hhvj7@wTreaTmFCjo2tsDAA
]TOOLS.Version	Report version numbers of APL, OS, SALT, UCMD, .NET and/or workspace	Non-syntax	Ucmd	TOOLS	User command	Development commands ]Version of dyalog build tell list ws was saved with		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hhvj7@wTrhaUWFWfm5yno2tsDAA
]TRANSFER.In	Import a workspace from a workspace transfer file	Non-syntax	Ucmd	TRANSFER	User command	commands conversion workspaces between to APLs versions implemenations dialects ]In converting change changing		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////HhgQ5@gW7uQbpeeYp6NrbAwA
]TRANSFER.Out	Export the current workspace to a workspace transfer file	Non-syntax	Ucmd	TRANSFER	User command	commands conversion workspaces between from APLs versions implemenations dialects ]Out converting change changing		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////HhgQ5@gW7uQbp@ZeWKOja2wMA
]UCMD.UMonitor	Gather user command execution data	Non-syntax	Ucmd	UCMD	User command	commands manage framework ]UMonitor performance tuning tune		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hhjr7uuiF@ubnZZbkFyno2tsDAA
]UCMD.UNew	Create one or more new user commands (optionally using a GUI)	Non-syntax	Ucmd	UCMD	User command	manage framework ]UNew wizard make own custom personalise personalize		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hhjr7uuiF@qWWK@ja2wMA
]UCMD.UDebug	Facilitate debugging of user commands	Non-syntax	Ucmd	UCMD	User command	manage framework ]UDebug test stop error trace		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hhjr7uuiFuqQmlaYr6NrbAwA
]UCMD.ULoad	Load a user command's script into the current namespace	Non-syntax	Ucmd	UCMD	User command	commands manage framework ]ULoad fetch import get source file		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hhjr7uuiF@uQnpijo2tsDAA
]UCMD.UReset	Refresh cache of all user command definitions	Non-syntax	Ucmd	UCMD	User command	commands framework ]UReset reload restart		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hhjr7uuiFBqUWp5Yo6NrbAwA
]UCMD.USetup	Run Setup from setup.dyalog	Non-syntax	Ucmd	UCMD	User command	commands framework ]USetup autostart autoexec user's		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hhjr7uuiFBqeWlBYo6NrbAwA
]UCMD.UVersion	Report version information of a user command	Non-syntax	Ucmd	UCMD	User command	commands framework ]UVersion		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hhjr7uuiFhqUWFWfm5yno2tsDAA
]WS.Map	Display namespace treeview	Non-syntax	Ucmd	WS	User command	commands workspaces ]Map outline overview ns		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hhgfr@SYWKOja2wMA
]WS.Names	List names, optionally in a specific namespace, of a specific name class and/or labelled by name class	Non-syntax	Ucmd	WS	User command	commands workspaces ]namespaces ⎕NL namelist report columns formatted human-readable members		
]WS.NamesLike	List names followed by their class matching the pattern	Non-syntax	Ucmd	WS	User command	commands workspaces ]NamesLike items report		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hhgfr@SXmphb7ZGanKuja2wMA
]WS.Nms	List names followed by their class matching the pattern	Non-syntax	Ucmd	WS	User command	commands workspaces ]Nms items report		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hhgfr@eUWK@ja2wMA
]WS.Check	Perform workspace integrity check	Non-syntax	Ucmd	WS	User command	commands workspaces ]Check correct validate sanity validation		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////HhgfrOWekJmcr6NrbAwA
]WS.Compare	Compare two workspaces	Non-syntax	Ucmd	WS	User command	commands ]Compare diff wss		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////HhgfrOefnFiQWpSro2tsDAA
]WS.Document	List (part of) the workspace content, displaying each item separately	Non-syntax	Ucmd	WS	User command	commands workspaces ]Document xref crossreference automatic		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////HhgfrueQnl@am5pUo6NrbAwA
]WS.FindRefs	Follow references in the workspace until all references have been found	Non-syntax	Ucmd	WS	User command	commands workspaces ]FindRefs report		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////HhgfruWXmpQSlphUr6NrbAwA
]WS.FnsLike	List functions and operators matching a pattern	Non-syntax	Ucmd	WS	User command	commands workspaces ]FnsLike items report		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////HhgfrueUV@2Rmpyro2tsDAA
]WS.Locate	Locate (and, optionally, replace) strings in the workspace	Non-syntax	Ucmd	WS	User command	commands workspaces ]Locate locating location search find regexp regularexpression grep regex regular expression within functions operators namespaces classes interfaces codes sources scripts definitions		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hhgfr@eQnJ5akKuja2wMA
]WS.ObsLike	List objects matching the pattern	Non-syntax	Ucmd	WS	User command	commands workspaces ]ObsLike items report		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////Hhgfr@ScV@2Rmpyro2tsDAA
]WS.Peek	Execute expression in temporary copy of workspace	Non-syntax	Ucmd	WS	User command	commands workspaces ]Peek lookinto playaround temporarily ephemeral no without affecting current active another ws visitation visiting		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////HhgfrBaSmZivo2tsDAA
]WS.SizeOf	Report size of variables in descending order	Non-syntax	Ucmd	WS	User command	commands workspaces ]SizeOf sorting reordering ordering		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////HhgfrBWdWpfqnKeja2wMA
]WS.VarsLike	List variables matching the pattern	Non-syntax	Ucmd	WS	User command	commands workspaces ]VarsLike report items		https://tio.run/##SyzI0U2pTMzJT///qG@qc6R6cWJOibrCo@4WhdS8xKSc1GBHn5D////HhgfrhSUWFftkZqcq6NrbAwA
2 2 2 2⊤⍳16	Unit tesseract	Constant	Expression		Mathematical			
2 2 2⊤⍳8	Unit cube	Constant	Expression		Mathematical			
2 2⊤⍳4	Unit square	Constant	Expression		Mathematical			
2-900⌶⍬	Number of arguments used in call (tradfns/tradops only)	Expression			Function Application	arity ambivalent ambivalence variadic leftargument ⎕nc 40⎕ATX ibeam monadic? monadically? or dyadic? dyadically? applied called I-beam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Called%20Monadically.htm
~900⌶⍬	Called Dyadically? (tradfns/tradops only)	Expression			Function Application	arity ambivalent ambivalence variadic leftargument ⎕nc 40⎕ATX ibeam dyadic? applied I-beam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Called%20Monadically.htm
1 2 3 4 5 6 7 8 9 0,⎕	Input continuation	Syntax			Expression	linecontinuation		
⊃83⎕DR 256	Is the current machine big-endian?	Expression			System	computer architechture big-endian little-endian be endian-ness endianness endianess	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQedTVbGAPZLkEKRqZm//8DAA	
⎕BASE.name	Invoke the base class definition of name	Syntax	Namespace	System	System Function	template up :base		https://help.dyalog.com/latest/#Language/System%20Functions/base.htm
2350⌶⎕NULL	List auto-completed user commands (unofficial)	I-beam	Constant		System	ibeam ucmd ] autocomplete autocompletion session input report show		
8666⌶⎕NULL	Assimilate shared code files	I-beam	Constant	Monadic Operator	System	copy referenced objects into workspace ibeam Ibeam		https://docs.dyalog.com/latest/Shared%20Code%20Files%20User%20Guide.pdf
⊢name←Y	Output assigned value	Syntax			Expression	passthroughvalue yieldassignment	https://tio.run/##SyzI0U2pTMzJT/8PBI@6FuUl5qY@apugHqkOAA	
name⊢←Y	Update (in dfns/dops) a variable in closest scope where localised or in global scope if not localised anyhere	Syntax			Expression	inplace in-place replace value reassignment re-assignment reassigning re-assigning modify modified out-of-scope semi-global auto-localise auto-localize auto-localising auto-localizing allocation allocated shadowed		
name,←Y	Fast: 'name' redefined to be its value with Y catenated along its last axis	Expression		Performance	Expression	speed optimised optimized quick amend append extend accumulate concatenate dimension idiom		
name⍪←Y	Fast: 'name' redefined to be its value with Y catenated along its first axis	Expression		Performance	Expression	speed optimised optimized quick amend append extend accumulate concatenate dimension 1st idiom		
⎕←x	Output x to the session via stdout (with trailing line break)	Syntax	Assignment		Expression	quad evaluatedinput ending echo print		https://help.dyalog.com/latest/#Language/System%20Functions/Evaluated%20Input%20Output.htm
⎕RL←⍬	Randomising random numbers	Expression			Index Generation	link initialise initialize RNG generator randomise randomize		
x←⎕	Evaluate user input (from stdin) and return result	Syntax	Array		Expression	quad evaluatedinput		https://help.dyalog.com/latest/#Language/System%20Functions/Evaluated%20Input%20Output.htm
⍞←x	Output x to session without trailing newline via stderr (without trailing line break)	Syntax	Assignment		Expression	quotequad quadquote ending print avoiding		https://help.dyalog.com/latest/#Language/System%20Functions/Character%20Input%20Output.htm
charvec←⍞	Return one line of user input from stdin	Syntax	Array		Expression	quotequad quadquote characterinput rawinput input() readline() readln() prompt() first enter		https://help.dyalog.com/latest/#Language/System%20Functions/Character%20Input%20Output.htm
name←⍞	Assignment of character vector without needing to double quotes	Expression			Text	characterinput gets is copula let define naming denotes means list string		https://help.dyalog.com/latest/#Language/System%20Functions/Character%20Input%20Output.htm
:Implements Trigger *	Declare function as a trigger function called when any global variable is changed in the same namespace	Syntax	Control	Keyword	Expression	declaration declare oo objectorientation		https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/Triggers/Global%20Triggers.htm
:Implements Constructor :Base expr	Function is a class constructor which calls the base constructor with the result of 'expr' as argument	Syntax	Control	Keyword	Expression	declaration declare oo objectorientation		
0::any error	Covers all errors (errors 1–999)				Error Message	catch errno try errorhandling trapping exception		
1::WS FULL	There is insufficient workspace in which to perform an operation				Error Message	trap catch errno size memory resources maxws ⎕wa		https://help.dyalog.com/latest/#Language/Errors/WS%20FULL.htm
10::LIMIT ERROR	A system limit is exceeded				Error Message	trap catch errno		https://help.dyalog.com/latest/#Language/Errors/LIMIT%20ERROR.htm
1000::any exception	Covers all exceptions (errors 1001–1008)			Exception	Error Message	system interrupts catch errno try errorhandling trapping		
1001::STOP VECTOR	Execution stopped due to ⎕STOP or stop bit set from editor			Exception	Error Message	system interrupts trap catch errno halt inspect breakpoint list		
1002::WEAK INTERRUPT	Execution stopped by weak interrupt			Exception	Error Message	system interrupts trap catch errno		
1003::INTERRUPT	Execution stopped by strong interrupt			Exception	Error Message	system interrupts trap catch errno		https://help.dyalog.com/latest/#Language/Errors/INTERRUPT.htm
1004::INPUT INTERRUPT	EOF to ⎕ or soft interrupt to ⍞			Exception	Error Message	system interrupts trap catch errno end-of-file		https://help.dyalog.com/latest/#Language/Errors/INPUT%20INTERRUPT.htm
1005::EOF INTERRUPT	EOF when reading input from a file (when an input to APL is from a file)			Exception	Error Message	system interrupts trap catch errno end-of-file		https://help.dyalog.com/latest/#Language/Errors/EOF%20INTERRUPT.htm
1006::TIMEOUT	Time limit specified by ⎕RTL exceeded while awaiting input through ⍞ or ⎕SR or time limit specified by ⎕FHOLD exceeded			Exception	Error Message	system interrupts trap catch errno character stdin prompt		https://help.dyalog.com/latest/#Language/Errors/TIMEOUT.htm
1007::RESIZE	User resizes the ⎕SM window			Exception	Error Message	system interrupts trap catch errno		https://help.dyalog.com/latest/#Language/Errors/RESIZE.htm
1008::DEADLOCK	Two threads acquiring a hold of two different tokens, and then each asks to hold the other token			Exception	Error Message	system interrupts trap catch errno		https://help.dyalog.com/latest/#Language/Errors/DEADLOCK.htm
11::DOMAIN ERROR	Type or value not permitted for the function/operator/system variable or unrepresentable numeric value				Error Message	trap catch errno		https://help.dyalog.com/latest/#Language/Errors/DOMAIN%20ERROR.htm
12::HOLD ERROR	Attempting ⎕SAVE while external arrays or component files are held by ⎕FHOLD				Error Message	trap catch errno		https://help.dyalog.com/latest/#Language/Errors/HOLD%20ERROR.htm
16::NONCE ERROR	System function or syntax or appropriate value is not currently implemented but is reserved for future use				Error Message	trap catch errno		https://help.dyalog.com/latest/#Language/Errors/NONCE%20ERROR.htm
18::FILE TIE ERROR	File tie number used as tied when not or available when tied, or missing external variable				Error Message	trap catch errno		https://help.dyalog.com/latest/#Language/Errors/FILE%20TIE%20ERROR.htm
19::FILE ACCESS ERROR	User is not authorised, or has supplied the wrong passnumber, or ⎕FERASE/⎕FRENAME on non-exclusive tie				Error Message	trap catch errno		https://help.dyalog.com/latest/#Language/Errors/FILE%20ACCESS%20ERROR.htm
2::SYNTAX ERROR	A line of characters does not constitute a meaningful statement				Error Message	trap catch errno parser parsing		https://help.dyalog.com/latest/#Language/Errors/SYNTAX%20ERROR.htm
20::FILE INDEX ERROR	An attempt is made to reference a non-existent component				Error Message	trap catch errno		https://help.dyalog.com/latest/#Language/Errors/FILE%20INDEX%20ERROR.htm
21::FILE FULL	Operation would cause the file to exceed its file size limit				Error Message	trap catch errno		https://help.dyalog.com/latest/#Language/Errors/FILE%20FULL.htm
22::FILE NAME ERROR	File not found, file exists, incompatible file, or ⎕FERASE/⎕NERASE filename mismatch				Error Message	trap catch errno		https://help.dyalog.com/latest/#Language/Errors/FILE%20NAME%20ERROR.htm
23::FILE DAMAGED	Component file damaged — check with ⎕FCHK				Error Message	trap catch errno correct validate		https://help.dyalog.com/latest/#Language/Errors/FILE%20DAMAGED.htm
24::FILE TIED	Attempt to tie file that is exclusively tied, or to exclusively tie file that is tied				Error Message	trap catch errno		https://help.dyalog.com/latest/#Language/Errors/FILE%20TIED.htm
25::FILE TIED REMOTELY	Attempt to tie file that another processor has exclusively tied, or to exclusively tie file that another processor has exclusively tied				Error Message	trap catch errno		https://help.dyalog.com/latest/#Language/Errors/FILE%20TIED%20REMOTELY.htm
26::FILE SYSTEM ERROR	Input/output error during file read/write — use ⎕FCHK when file becomes available				Error Message	trap catch errno		https://help.dyalog.com/latest/#Language/Errors/FILE%20SYSTEM%20ERROR.htm
28::FILE SYSTEM NOT AVAILABLE	Lock attempt failed — may be due to opportunistic locks being enabled on Windows				Error Message	trap catch errno oplock		https://help.dyalog.com/latest/#Language/Errors/FILE%20SYSTEM%20NOT%20AVAILABLE.htm
3::INDEX ERROR	Index or axis is not in ⍳⍴Y or not in ⍳≢⍴Y				Error Message	trap catch errno bounds limits overflow beyond dimensions length rank axes		https://help.dyalog.com/latest/#Language/Errors/INDEX%20ERROR.htm
30::FILE SYSTEM TIES USED UP	User already has the maximum number of files tied				Error Message	trap catch errno ⎕ftie fstie ⎕fcreate		https://help.dyalog.com/latest/#Language/Errors/FILE%20SYSTEM%20TIES%20USED%20UP.htm
31::FILE TIE QUOTA USED UP	Maximum number of file ties for this APL instance has been reached				Error Message	trap catch errno		https://help.dyalog.com/latest/#Language/Errors/FILE%20TIE%20QUOTA%20USED%20UP.htm
32::FILE NAME QUOTA USED UP	User already has the maximum number of files named				Error Message	trap catch errno ⎕fcreate ⎕ftie ⎕fstie ⎕frename		https://help.dyalog.com/latest/#Language/Errors/FILE%20NAME%20QUOTA%20USED%20UP.htm
34::FILE SYSTEM NO SPACE	There is insufficient disk space				Error Message	trap catch errno blank		https://help.dyalog.com/latest/#Language/Errors/FILE%20SYSTEM%20NO%20SPACE.htm
38::FILE COMPONENT DAMAGED	Attempt is made to access a component that is not a valid APL object — use ⎕FCHK				Error Message	trap catch errno		https://help.dyalog.com/latest/#Language/Errors/FILE%20COMPONENT%20DAMAGED.htm
4::RANK ERROR	Array rank invalid for function/operator, or ranks of arguments do not conform				Error Message	trap catch errno dimensions conformability axes		https://help.dyalog.com/latest/#Language/Errors/RANK%20ERROR.htm
5::LENGTH ERROR	The shape of the arguments of a function do not conform, but the ranks do conform				Error Message	trap catch errno conformability		https://help.dyalog.com/latest/#Language/Errors/LENGTH%20ERROR.htm
52::FIELD CONTENTS RANK ERROR	Field content of rank greater than 2 is assigned to ⎕SM				Error Message	trap catch errno dimensions axes		https://help.dyalog.com/latest/#Language/Errors/FIELD%20CONTENTS%20RANK%20ERROR.htm
53::FIELD CONTENTS TOO MANY COLUMNS	Content of a numeric or date field assigned to ⎕SM has more than one column				Error Message	trap catch errno		https://help.dyalog.com/latest/#Language/Errors/FIELD%20CONTENTS%20TOO%20MANY%20COLUMNS.htm
54::FIELD POSITION ERROR	Location of the field assigned to ⎕SM is outside the screen				Error Message	trap catch errno locate		https://help.dyalog.com/latest/#Language/Errors/FIELD%20POSITION%20ERROR.htm
55::FIELD SIZE ERROR	Invalid field size for ⎕SM				Error Message	trap catch errno		https://help.dyalog.com/latest/#Language/Errors/FIELD%20SIZE%20ERROR.htm
58::FIELD ATTRIBUTES RANK ERROR	The current video attribute assigned to ⎕SM is non-scalar but its rank does not match that of the field contents				Error Message	trap catch errno dimensions axes		https://help.dyalog.com/latest/#Language/Errors/FIELD%20ATTRIBUTES%20RANK%20ERROR.htm
59::FIELD ATTRIBUTES LENGTH ERROR	The current video attribute assigned to ⎕SM is non-scalar but its dimensions do not match those of the field contents				Error Message	trap catch errno rank axes		https://help.dyalog.com/latest/#Language/Errors/FIELD%20ATTRIBUTES%20LENGTH%20ERROR.htm
6::VALUE ERROR	Undefined name in this scope, or function does not return result while required				Error Message	trap catch errno		https://help.dyalog.com/latest/#Language/Errors/VALUE%20ERROR.htm
61::KEY CODE UNRECOGNISED	A key code supplied to ⎕SR or ⎕PFKEY is not recognised as a valid code, or attempt at creating a KeyPress event with invalid Input Code				Error Message	trap catch errno		https://help.dyalog.com/latest/#Language/Errors/KEY%20CODE%20UNRECOGNISED.htm
62::KEY CODE RANK ERROR	A key code supplied to ⎕SR or ⎕PFKEY is not a scalar or a vector				Error Message	trap catch errno list dimensions axes		https://help.dyalog.com/latest/#Language/Errors/KEY%20CODE%20RANK%20ERROR.htm
63::KEY CODE TYPE ERROR	A key code supplied to ⎕SR or ⎕PFKEY is numeric or nested; i.e. is not a valid key code				Error Message	trap catch errno		https://help.dyalog.com/latest/#Language/Errors/KEY%20CODE%20TYPE%20ERROR.htm
7::FORMAT ERROR	Ill-formed specification in the left argument of ⎕FMT				Error Message	trap catch errno		https://help.dyalog.com/latest/#Language/Errors/FORMAT%20ERROR.htm
70::FORMAT FILE ACCESS ERROR	The date format file to be used by ⎕SM does not exist or cannot be accessed				Error Message	trap catch errno		https://help.dyalog.com/latest/#Language/Errors/FORMAT%20FILE%20ACCESS%20ERROR.htm
71::FORMAT FILE ERROR	The date format file to be used by ⎕SM is ill-formed				Error Message	trap catch errno		https://help.dyalog.com/latest/#Language/Errors/FORMAT%20FILE%20ERROR.htm
72::NO PIPES	The limit on the number of pipes communicating between tasks is during startup, ⎕SH, or use of an external variable				Error Message	trap catch errno		https://help.dyalog.com/latest/#Language/Errors/NO%20PIPES.htm
76::PROCESSOR TABLE FULL	The limit on the number of processes (tasks) that the computer system can support would be exceeded				Error Message	trap catch errno matrix unable to fork		https://help.dyalog.com/latest/#Language/Errors/PROCESSOR%20TABLE%20FULL.htm
84::TRAP ERROR	Searching for a definition set for the system variable ⎕TRAP, after a trappable error has occurred, caused WS FULL				Error Message	catch errno		https://help.dyalog.com/latest/#Language/Errors/TRAP%20ERROR.htm
90::EXCEPTION	A Microsoft .NET object threw an exception				Error Message	trap catch errno		https://help.dyalog.com/latest/#Language/Errors/EXCEPTION.htm
92::TRANSLATION ERROR	The system cannot convert a character from Unicode to an Atomic Vector (⎕AV) index or vice versa				Error Message	trap catch errno ⎕avu classic codepage characterset charset encoding sbcs list Conversion converting change changing		https://help.dyalog.com/latest/#Language/Errors/TRANSLATION%20ERROR.htm
99::INTERNAL ERROR	Severe system error — save your work(space), and report the issue to Dyalog				Error Message	trap catch errno blank		https://help.dyalog.com/latest/#Language/Errors/INTERNAL%20ERROR.htm
errno::Y	Dfn/dop Error Guard (result upon listed error)	Syntax			Expression	errorguard trap catch try		https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/DynamicFunctions/Guards.htm
→Bs⍴0	Conditional Return: Leave function and return to caller if Bs		Control		Expression	rightarrow :ReturnIf		
→⎕LC	Continuing execution	Expression			Expression	resume thread		
##	Reference to parent namespace of the current namespace	Constant			System	workspace top hashhash hashash outercontainer levelup father mother ancestor	https://tio.run/##SyzI0U2pTMzJT/8PBOqJeknqCo/6pvoFKzzqXcMFZD1qm6AAFNVTVgYA	https://help.dyalog.com/latest/#Language/Introduction/Namespaces/Namespaces.htm
)ED - nms	Create one or more character matrices (nms) in the Editor	Non-syntax			System Command	matrix creating new definition define value ⎕ed		https://help.dyalog.com/latest/#Language/System%20Commands/ed.htm
)ED ⍟ nms	Create one or more namespaces (nms) in the Editor	Non-syntax			System Command	creating new definition define value ⎕ed		https://help.dyalog.com/latest/#Language/System%20Commands/ed.htm
)ED ○ nms	Create one or more classes (nms) in the Editor	Non-syntax			System Command	creating new definition define value ⎕ed		https://help.dyalog.com/latest/#Language/System%20Commands/ed.htm
)ED ∘ nms	Create one or more interfaces (nms) in the Editor	Non-syntax			System Command	creating new definition define value ⎕ed		https://help.dyalog.com/latest/#Language/System%20Commands/ed.htm
)ED ∊ nms	Create one or more vectors of character vectors (nms) in the Editor	Non-syntax			System Command	lists strings creating new definition define value ⎕ed		https://help.dyalog.com/latest/#Language/System%20Commands/ed.htm
⍺←Y	Default left argument in dfn/dop	Syntax			Expression	leftarg larg fallback fall-back preset value define	https://tio.run/##SyzI0U2pTMzJT///vyg/v@RR24RqBTB41DsXiHeVZCiAxLkgQruA8kZw6ZTUtMTSnBKFknyF4sIimJqtWoe3A1Vy1XI96psKVg8yQMESyoVw/v8HAA	https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/DynamicFunctions/Default%20Left%20Argument.htm
)ED ∇ nms	Create one or more functions (nms) in the Editor	Non-syntax			System Command	creating new definition define value ⎕ed		https://help.dyalog.com/latest/#Language/System%20Commands/ed.htm
)ED → nms	Create one or more character vectors (nms) in the Editor	Non-syntax			System Command	string creating new definition define value ⎕ed text		https://help.dyalog.com/latest/#Language/System%20Commands/ed.htm
X f(DOP Z)Y	Dyadic operator (DOP) taking an array operand (W) to derive a monadic operator (which in turn takes a function operand to derive a dyadic function)	Syntax	Dyadic Function	Dyadic Operator	Expression	currying derived binding		https://help.dyalog.com/latest/#Language/Introduction/Binding%20Strength.htm
X f(DOP g)Y	Dyadic operator (DOP) taking a function operand to derive a monadic operator (which in turn takes a function operand to derive a dyadic function)	Syntax	Dyadic Function	Dyadic Operator	Expression	currying derived binding		https://help.dyalog.com/latest/#Language/Introduction/Binding%20Strength.htm
X (Y Z)	Stranding: (⊂X),⊂(⊂Y),(⊂Z)	Syntax			Expression	roundparentheses roundparens grouping nestedarraynotation nestedvectornotation		https://help.dyalog.com/latest/#Language/Introduction/Variables/Vector%20Notation.htm
X(Z g h)Y	Fork (E-combinator): Z g X h Y	Syntax	Dyadic Function	Train	Expression	Eagle-bird pointwise tacit roundparentheses roundparens grouping derived Agh 3train 3-train		https://help.dyalog.com/latest/#Language/Introduction/Trains.htm
X(f g h)Y	Fork (Φ₁-combinator): (X f Y)g(X h Y)	Syntax	Dyadic Function	Train	Expression	Golden-Eagle-bird Goldeneagle-bird E-hat-combinator Ehat-combinator pointwise tacit roundparentheses roundparens grouping derived fgh 3train 3-train		https://help.dyalog.com/latest/#Language/Introduction/Trains.htm
X(f g)Y	Atop (B₁-combinator): f X g Y	Syntax	Dyadic Function	Train	Expression	Blackbird-bird B1-combinator tacit roundparentheses roundparens grouping derived fg 2train 2-train		https://help.dyalog.com/latest/#Language/Introduction/Trains.htm
W(DOP Z)Y	Dyadic operator (DOP) taking an array operand (W) to derive a monadic operator (which in turn takes a function operand to derive a monadic function)	Syntax	Monadic Function	Dyadic Operator	Expression	currying derived binding		https://help.dyalog.com/latest/#Language/Introduction/Binding%20Strength.htm
W(DOP g)Y	Dyadic operator (DOP) taking a function operand to derive a monadic operator (which in turn takes an array operand to derive a monadic function)	Syntax	Monadic Function	Dyadic Operator	Expression	currying derived binding		https://help.dyalog.com/latest/#Language/Introduction/Binding%20Strength.htm
f(DOP Z)Y	Dyadic operator (DOP) taking an array operand (W) to derive a monadic operator (which in turn takes an array operand to derive a monadic function)	Syntax	Monadic Function	Dyadic Operator	Expression	currying derived binding		https://help.dyalog.com/latest/#Language/Introduction/Binding%20Strength.htm
f(DOP g)Y	Dyadic operator (DOP) taking a function operand to derive a monadic operator (which in turn takes a function operand to derive a monadic function)	Syntax	Monadic Function	Dyadic Operator	Expression	currying derived binding		https://help.dyalog.com/latest/#Language/Introduction/Binding%20Strength.htm
(X g h)Y	Fork (D-combinator): X g h Y	Syntax	Monadic Function	Train	Expression	Dove-bird pointwise tacit roundparentheses roundparens grouping derived Agh 3train 3-train		https://help.dyalog.com/latest/#Language/Introduction/Trains.htm
(f g h)Y	Fork (Φ-combinator): (f Y)g(h Y)	Syntax	Monadic Function	Train	Expression	Phoenix-bird S′-combinator pointwise tacit roundparentheses roundparens grouping derived fgh 3train 3-train		https://help.dyalog.com/latest/#Language/Introduction/Trains.htm
(f g)Y	Atop (B-combinator): f g Y	Syntax	Monadic Function	Train	Expression	Bluebird-bird tacit roundparentheses roundparens grouping derived fg 2train 2-train		https://help.dyalog.com/latest/#Language/Introduction/Trains.htm
0=⍴⍴Y	Fast: Is Y a Scalar?	Expression		Performance	Array Properties	testif speed optimised optimized quick idiom		
1=≡,Y	Fast: Is Y a Simple Array?	Expression		Performance	Array Properties	testif speed optimised optimized quick simple? idiom flat?		
0=⊃⍴Y	Fast: Does Y have an empty first dimension?	Expression		Performance	Array Properties	testif speed optimised optimized quick empty? norows? 1st idiom		
⊃⌽,Y	Fast: The item in the bottom right of Y	Expression		Performance	Selection	speed optimised optimized quick last bottom-right southeast south-east cell element idiom		
M⊃¨⊂Yv	Fast: The subset of Yv in the index positions defined by M (equivalent to Yv[M])	Expression		Performance	Selection	speed optimised optimized quick chipmunk selectfrom indexinto idiom		
Av/⍳⍴Yv	Fast: The positions in Yv corresponding to the 1s in Av	Expression		Performance	Index Generation	speed optimised optimized quick ones where trues truths idiom		
~0∊⍴Y	Fast: Is Y non-empty?	Expression		Performance	Array Properties	testif speed optimised optimized quick nonempty? hascontent? idiom		
;X;Y;Z	Tradfn/Tradop locals line localisation of names X, Y, Z (before first code)	Syntax			Definition	localization shadow variables symbols identifiers scope stack frame scope localise localize declaration declare declaring 1st lines		https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/TradFns/Locals%20Lines.htm
]name -?	Print help for user command 'name'	Non-syntax				rightsquarebracket rightbracket usercommand ucmd documentation instructions	https://tio.run/##SyzI0U2pTMzJT////1HfVOdI9eLEnBJ1hUfdLQqpeYlJOanBjj4h///HpiUml@QXFSvo2gMA	https://help.dyalog.com/latest/#UserGuide/The%20APL%20Environment/User%20Commands.htm
↓⍉↑Yv	Fast: A nested vector comprising vectors that each correspond to a position in the original vectors of Yv – the first vector contains the first item from each vector in Yv, padded to be the same length as the largest vector, and so on	Expression		Performance	Structural	speed optimised optimized quick transpose transposing vtv cell element 1st lists zip() remixing zipping merging interweave interweaving interleave interleaving shuffle shuffling meshing idiom zip zipwith() zip-with zipwith		
⌊0.5+N	Fast: Round to nearest integer	Expression		Performance	Mathematical	speed optimised optimized quick int() idiom		
...	Syntax error to stop execution	Non-syntax			System	halt		
⎕NL-⍳9	List names of existing members	Expression		Workspace		available active names namelist all types nameclasses name-classes everything	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSAVLCrHpD089F91LvZ8v9/AA	https://help.dyalog.com/latest/#Language/System%20Functions/nl.htm
31↓⎕UCS⍳126	Printable ASCII	Constant	Expression		Text	characters string	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMDR@1TQayQ52DH/VuNjQy@/8fAA	
⎕SE.Dyalog.Serial Y	Set or query (if Y is empty) serial number	Tradfn	Monadic Function		System	report license licence licensing licencing get fetch renew initialise initialize serialnumber account dss+ unregistered unregistration deregistered deregistration		
name↓⍨←Js	Fast: 'name' redefined to be its value without the -Js trailing major cells (only fast when Js is negative)	Expression		Performance	Expression	speed optimised optimized quick chop shorten strip drop rear end final last items elements tail curtail dimension idiom		
name f∘⊢←Y	Modified Assignment (also dfns/dops)			Monadic Operator	Expression	leftarrow gets is copula let redefine naming denotes means inplace update	https://tio.run/##SyzI0U2pTMzJT///3y0//1HbhGouBSBIBLIe9W4Fs5OgbDAnIKe0GMjXhvASIfyOGY@6FgFFDSHqYYoMYYqSuGq5HvVNBQoB7VAw/v8fAA	https://help.dyalog.com/latest/#Language/Primitive%20Operators/Assignment%20Modified.htm
⎕THIS.name←Y	Assign (in dfns/dops) to closest scope where localised or in global scope if not localised anyhere (proper replacement for name∘←Y)	Syntax			Expression	new assignment assigning value variable function operator out-of-scope don't no shadowing defeating circumventing auto-shadowed auto-localise auto-localize auto-localising auto-localizing allocation allocated semi-global Mike Day's strange device excalibur		
:Include <ns>	Import methods from one a namespace to this class	Syntax	Control	Keyword	Expression	import copy into functions operators members library libraries		https://help.dyalog.com/latest/#Language/Object%20Oriented%20Programming/Including%20Namespaces%20in%20Classes.htm
35::FILE ACCESS ERROR - CONVERTING FILE	Operating system did not allow APL to upgrade component file structure				Error Message	trap catch errno Conversion change changing		https://help.dyalog.com/latest/#Language/Errors/FILE%20ACCESS%20ERROR%20CONVERTING.htm
60::FULL-SCREEN ERROR	The required full screen capabilities are not available to ⎕SM				Error Message	trap catch errno		https://help.dyalog.com/latest/#Language/Errors/FULL%20SCREEN%20ERROR.htm
56::FIELD CONTENTS/TYPE MISMATCH	Field contents assigned to ⎕SM does not conform with the given field type e.g. character content with numeric type				Error Message	trap catch errno		https://help.dyalog.com/latest/#Language/Errors/FIELD%20CONTENTS%20TYPE%20MISMATCH.htm
57::FIELD TYPE/BEHAVIOUR UNRECOGNISED	Field type or behaviour code assigned to ⎕SM is invalid				Error Message	trap catch errno behavior		https://help.dyalog.com/latest/#Language/Errors/FIELD%20TYPE%20BEHAVIOUR%20UNRECOGNISED.htm
X[Iv Jv …]	Indexing (scatter-point)	Syntax	Dyadic Function		Selection	squarebrackets subscript choose move reorder		https://help.dyalog.com/latest/#Language/Primitive%20Functions/Indexing.htm
0(220⌶)Jv	Deserialise Array	I-beam	Function		Data Conversion	serialising serializing serialisation serialization serialize ibeam fromsint signed integer representation converting change changing	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtE4qB2FDDyMjgUc82TSMFo0e9W4wUzBUMFSy4IAoMYJLF//8DAA	https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Serialise%20Array.htm
0(7162⌶)Dv	Translate JSON name to valid APL name (mangle if necessary)	I-beam	Function		Data Conversion	serialise serialize serialisation serialization serialising serializing ⍙ representation identifier ⎕json namemangling ibeam mangled converting change changing	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtEww0zA3NjB71bNNUT0xK1q2orFL//x8A	https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/JSON%20Translate%20Name.htm
0(85⌶)Dv	Execute expression Dv (⍎Dv) and signal ERROR 85 if it has no result, otherwise return result	I-beam	Dyadic Function		Data Conversion	eval() evaluate apl compute run call parseexpression noresult ibeam no-result missing unshy un-shy converting change changing	https://tio.run/##SyzI0U2pTMzJT/8PBAYaFqaPerZpqptoG6lzwXmJj9omGCLxq2uN1QE	https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Execute%20Expression.htm
1(220⌶)Y	Serialise Array	I-beam	Function		Data Conversion	serialising serializing serialisation serialization serialize ibeam tosint signed integer representation converting change changing	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtE4qB2FDDyMjgUc82TSMFo0e9W4wUzBUMFSy4IAoMYJLF//8DAA	https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Serialise%20Array.htm
1(7162⌶)Dv	Translate possibly mangled APL name to JSON name (demangle if mangled)	I-beam	Function		Data Conversion	deserialise deserialize deserialisation deserialization deserialising deserializing ⍙ representation identifier ⎕json namemangling ibeam demangled converting change changing	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtEww1zA3NjB71bNNUf9Q7MzEpGUiamAKJisoq9f//AQ	https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/JSON%20Translate%20Name.htm
1(85⌶)Dv	Execute expression Dv (⍎Dv) and signal ERROR 85 if result is shy or missing, otherwise return result	I-beam	Dyadic Function		Data Conversion	eval() evaluate apl compute run call parseexpression noresult ibeam no-result converting change changing	https://tio.run/##SyzI0U2pTMzJT/8PBIYaFqaPerZpqptoG6lzwXmJj9omGKoDAA	https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Execute%20Expression.htm
Xv(8⌶)Yv	Inverted Table Index-of (X⍳Y where X and Y are unverted Xv and Yv)	I-beam	Dyadic Function		Index Generation		iota indicesin indexof position columndatabase matrix ibeam	https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Inverted%20Table%20Index%20Of.htm
X(1159⌶)Y	Update Function Time and User Stamp	I-beam	Function		System	⎕at properties operator ibeam attributes 21∘⎕ATX 22∘⎕ATX 21⎕ATX 22⎕ATX		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Update%20Function%20Timestamp.htm
Mv(16808⌶)Dv Jv	Sample Probability Distribution: Random array of shape Jv with distribution Dv and parameters Mv	I-beam	Dyadic Function	Monadic Operator	Mathematical	prng uniform U(a,b) beta bernoulli binomial Lorentz-cauchy lorentzian function breit-wigner chi-squared χ²-distribution exponential Fisher-Snedecor's F-distribution F-ratio gamma Γ inverse-gamma inv-gamma inv-Γ log-normal lognormal galton's laplace-gaussian poisson student-t student's t-distribution weibull ibeam Ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Sample%20Probability%20Distribution.htm#Sample_Probability_Distribution
Mv(219⌶)Jv	Compress/Decompress Vector of Short Integers	I-beam	Function		Data Conversion	lz4 zlib gzip unzip deflate deflation uncompression inflate inflation list ibeam converting change changing		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Compress%20Vector%20of%20Short%20Integers.htm
Is(1500⌶)Y	Hash Array	I-beam	Function		Array Properties	performance hasharray hash-array hash-table ibeam Ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Hash%20Array.htm
Is(86⌶)Dv	Execute expression Dv (⍎Dv) but Is frames up the stack (unofficial)	I-beam	Dyadic Function		Data Conversion	eval() evaluate apl compute run call parseexpression noresult ibeam in different stack-frames stackframes converting change changing	https://tio.run/##SyzI0U2pTMzJT///3y0//1HbhGr3/HyFR71rarncIXxDDQuzRz3bNNUf9W5Vr@V61DcVKApUq2Bi9P8/AA	
Is(8659⌶)Jv	List names (of name classes Jv) for share code file in slot Is	I-beam	Dyadic Function	Monadic Operator	System	report workspace ibeam Ibeam		https://docs.dyalog.com/latest/Shared%20Code%20Files%20User%20Guide.pdf
Iv(2000⌶)Jv	Memory Manager Statistics	I-beam	Function		System	management performance ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Memory%20Manager%20Statistics.htm
Iv(8666⌶)Dv	Attach shared code file Dv (for name classes Iv)	I-beam	Dyadic Function	Monadic Operator	System	attaching to workspace ibeam Ibeam		https://docs.dyalog.com/latest/Shared%20Code%20Files%20User%20Guide.pdf
Cv(1200⌶)N	Format date-time	I-beam	Dyadic Function	Monadic Operator	Text	string ibeam Ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
{X}2011⌶Y	Read DataTable	I-beam	Ambivalent Monadic Function, Dyadic Function	Monadic Operator	System	ADO.NET object blockread System.Data.DataTable ibeam Ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Read%20DataTable.htm#ReadDataTable
20⎕DT'Z'	Current UNIX time	Constant	Expression		Data Conversion	now datetime zulutime zulu-time UnixTime PosixTime UnixEpochTime 1970		
¯1⎕DT'Z'	Current UTC date and time	Constant	Expression		Data Conversion	now datetime zulutime zulu-time		
(name1 name2)←Y	Multiple assignment				Expression	leftarrow get are copula let define list naming denote mean unpacking distributing distribution vector distributed pervasive pervading pervade unpacking unpacked	https://tio.run/##SyzI0U2pTMzJT///XyNRIUnzUdsEQwUjrkd9U4EshUTtpP//AQ	https://help.dyalog.com/latest/#Language/Introduction/Namespaces/Distributed%20Assignment.htm
(name1 name2)←name2 name1	Swap variable values				Expression	leftarrow get are copula let redefine redefining list renaming denote mean unpacking redistributing redistribution vector exchange exchanging swapping variables	https://tio.run/##SyzI0U2pTMzJT///XyNRIUnzUdsEUwULLhg7SSGR61HfVCBLIVE36f9/AA	https://help.dyalog.com/latest/#Language/Introduction/Namespaces/Distributed%20Assignment.htm
:Attribute name {ConstructorArgs}	Descriptive tag that provides additional information to .NET	Syntax	Control	Keyword	Expression	declaration declare oo objectorientation metadata		https://help.dyalog.com/latest/#Language/Control%20Structures/attribute.htm
∇ X(f op g)Y	Dyadic tradop header for deriving dyadic functions	Syntax	Dyadic Function	Dyadic Operator	Definition	declaration [0] declaring defining		https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/TradFns/Model%20Syntax.htm
∇ X(f op)Y	Monadic tradop header for deriving dyadic functions	Syntax	Dyadic Function	Monadic Operator	Definition	declaration [0] declaring defining		https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/TradFns/Model%20Syntax.htm
∇ f(X Y Z)	Tradfn/Tradop right argument name list (enforces correct number of arguments and distributes values)	Syntax			Definition	declaration [0] declaring defining names unpacking vector header		https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/TradFns/Namelists.htm
∇ {X}f Y	Optional Left Tradfn/Tradop Argument	Syntax			Definition	curlybraces function operator default ambivalent variadic traditional ambivalence header		https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/TradFns/Model%20Syntax.htm
∇ (f op g)Y	Dyadic tradop header for deriving monadic functions	Syntax	Monadic Function	Dyadic Operator	Definition	declaration [0] declaring defining		https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/TradFns/Model%20Syntax.htm
∇ (f op)Y	Monadic tradop header for deriving monadic functions	Syntax	Monadic Function	Monadic Operator	Definition	declaration [0] declaring defining		https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/TradFns/Model%20Syntax.htm
)XLOAD {ws}	Load workspace ws without executing ⎕LX	Non-syntax		File Access	System Command	silent quiet still norun non-⎕LX )load prevent open fetch get quiet latentexpression autoexec boot		https://help.dyalog.com/latest/#Language/System%20Commands/xload.htm
)METHODS {nm}	List methods in current namespace, optionally beginning with {nm}	Non-syntax			System Command	information listing report ¯3.6 vector start leading		https://help.dyalog.com/latest/#Language/System%20Commands/methods.htm
)NS {name}	Create new global namespace called name	Non-syntax			System Command	⎕NS		https://help.dyalog.com/latest/#Language/System%20Commands/ns.htm
)INTERFACES {nm}	List interfaces in current namespace, optionally beginning with {nm}	Non-syntax			System Command	information listing report ¯9.5 ¯9.7 vector start leading		https://help.dyalog.com/latest/#Language/System%20Commands/interfaces.htm
)CLASSES {nm}	List classes in current namespace, optionally beginning with {nm}	Non-syntax			System Command	information listing report ¯9.4 vector start leading		https://help.dyalog.com/latest/#Language/System%20Commands/classes.htm
)COPY ws {nms}	Copy (selected) contents of workspace ws to active workspace	Non-syntax		File Access	System Command	import use load transfer include items otherworkspace )pcopy ⎕cy functions variables operators namespaces GUI objects classes interfaces instances		https://help.dyalog.com/latest/#Language/System%20Commands/copy.htm
)CS {space}	Change current namespace	Non-syntax			System Command	navigate enter into out of # ⎕se ⎕cs changing		https://help.dyalog.com/latest/#Language/System%20Commands/cs.htm
)DROP {ws}	Erase file containing workspace ws	Non-syntax			System Command	delete remove expunge without removing erasing eliminate eliminating deleting		https://help.dyalog.com/latest/#Language/System%20Commands/drop.htm
)ED {etype} nms	Open one or more objects (nms) of types etypes in the Editor	Non-syntax			System Command	create creating modify code source definition define value ⎕ed		https://help.dyalog.com/latest/#Language/System%20Commands/ed.htm
)EVENTS {nm}	List events in current namespace, optionally beginning with {nm}	Non-syntax			System Command	information listing report ¯8.6 vector start leading		https://help.dyalog.com/latest/#Language/System%20Commands/events.htm
)FNS {nm}	List functions in current namespace, optionally beginning with {nm}	Non-syntax			System Command	information listing report ¯3.1 ¯3.2 ¯3.3 ¯3.6 vector start leading		https://help.dyalog.com/latest/#Language/System%20Commands/fns.htm
)LIB {folder}	List workspaces either on WSPATH or in folder	Non-syntax			System Command	dir ls vector		https://help.dyalog.com/latest/#Language/System%20Commands/lib.htm
)LOAD {ws}	Replace active workspace with workspace ws	Non-syntax		File Access	System Command	open fetch get bringin ⎕load		https://help.dyalog.com/latest/#Language/System%20Commands/load.htm
)OBJECTS {nm}	List objects in current namespace, optionally beginning with {nm}	Non-syntax			System Command	information listing report ¯9.1 ¯9.2 ¯9.4 ¯9.5 ¯9.6 ¯9.7 vector start leading		https://help.dyalog.com/latest/#Language/System%20Commands/objects.htm
)OBS {nm}	List objects in current namespace, optionally beginning with {nm}	Non-syntax			System Command	information listing report ¯9.1 ¯9.2 ¯9.4 ¯9.5 ¯9.6 ¯9.7 vector start leading		https://help.dyalog.com/latest/#Language/System%20Commands/obs.htm
)OPS {nm}	List operators in current namespace, optionally beginning with {nm}	Non-syntax			System Command	information listing report ¯4.1 ¯4.2 ¯4.3 vector start leading		https://help.dyalog.com/latest/#Language/System%20Commands/ops.htm
)PCOPY ws {nms}	As )COPY but does not overwrite existing objects	Non-syntax		File Access	System Command	importing loading using use include including items otherworkspace protectedly safely without overwriting names fetching getting ⎕pcy ⎕pcopy copying		https://help.dyalog.com/latest/#Language/System%20Commands/pcopy.htm
)PROPS {nm}	List properties in current namespace, optionally beginning with {nm}	Non-syntax			System Command	information listing report ¯2.3 vector start leading		https://help.dyalog.com/latest/#Language/System%20Commands/props.htm
)RESET {n}	Reset state indicator, empty event queue/clear top n suspensions, and close corresponding trace windows (synonym of )SIC)	Non-syntax			System Command	debugging session terminate quit leave eliminate cutback exit tracing stack debugger tracer tracing		https://help.dyalog.com/latest/#Language/System%20Commands/reset.htm
)SIC {n}	Stack Indicator Clear: Reset state indicator, empty event queue/clear top n suspensions, and close corresponding trace windows (synonym of )RESET)	Non-syntax			System Command	debugging session terminate quit leave eliminate cutback exit tracing stack debugger tracer tracing		https://help.dyalog.com/latest/#Language/System%20Commands/sic.htm
)TID {tdno}	Switch to thread tdno or report current thread number	Non-syntax			System Command	synchronisation synchronization parallel threading greenthreading ⎕tid		https://help.dyalog.com/latest/#Language/System%20Commands/tid.htm
)VARS {nm}	List variables in current namespace, optionally beginning with {nm}	Non-syntax			System Command	information listing report ¯2.1 ¯2.2 ¯2.3 ¯2.6 vector start leading		https://help.dyalog.com/latest/#Language/System%20Commands/vars.htm
)WSID {ws}	Set or report the name of the active workspace	Non-syntax			System Command	identification filepath filename ⎕wsid		https://help.dyalog.com/latest/#Language/System%20Commands/wsid.htm
2÷¯1+5*÷2	Golden ratio (direct formula)	Constant	Expression		Mathematical	phi φ ϕ ɸ 1.618033988749894848204586834365638 0.618033988749894848204586834365638	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMDm8/tN5Q21Tr8Haj//8B	
+/∧\B	Fast: The number of leading 1s in each row of B	Expression		Performance	Boolean/Logical	speed optimised optimized quick ones trues truths start beginning idiom		
17×2-645=⎕FR	Arithmetic precision of the system (in decimals)	Constant			Mathematical	comparison tolerance fuzz IEEE754 floatingpoint		
100⊥100|3↑⎕TS	Packing current date (YYMMDD)	Constant			System	Encoding		
∇ f;X;Y;Z	Tradfn/Tradop header line localisation of names X, Y, Z	Syntax			Definition	localization shadow variables symbols identifiers scope stack frame scope localise localize locals declaration declare declaring [0]		https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/TradFns/Global%20Local%20Names.htm
(X+Y)×Z	Precedence: Z×X+Y	Syntax			Expression	roundparentheses grouping roundparens		
80=⎕DR''	Is this Dyalog APL Unicode?	Constant			System	interpreter character representation ⎕AVU characterset testif		
82=⎕DR''	Is this Dyalog APL Classic?	Constant			System	interpreter character representation ⎕AVU characterset testif		
⊃1⎕NPARTS''	Current directory	Expression			System	folder cd pwd _CWDS _CWPS print working name filesystem		
{ns}⎕SE.UCMD Dv	Execute user command, arguments, modifiers Dv under program control (from within 'ns')	Tradfn	Ambivalent Monadic Function, Dyadic Function		Function Application	evaluate calling running		
2⎕NQ⎕SE'FileWrite'	Save Session configuration (including ]box and ]rows settings) to default session file	Expression			System	RIDE put store dyalog .dse permanent keep settings ]boxing ]output.boxing ]output.rows make persistent		
(1 1⍉Xm)←Yv	Reassign main diagonal of matrix	Syntax			Expression	assignment gets is copula let redefine name naming denotes means inplace update table		
:Implements Method {InterfaceName.MethodName}	Function implements method 'MethodName' whose syntax is specified by interface 'InterfaceName'	Syntax	Control	Keyword	Expression	declaration declare oo objectorientation		https://help.dyalog.com/latest/#Language/Object%20Oriented%20Programming/Interfaces/Interfaces.htm
∇ (X Y Z)←f	Tradfn/Tradop result name list (collects)	Syntax			Definition	declaration [0] declaring defining names packing vector header		https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/TradFns/Namelists.htm
∇ {Z}←f Y	Shy Tradfn/Tradop result	Syntax			Definition	curlybraces function operator hideresult traditional header		https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/TradFns/Model%20Syntax.htm
#⎕WG'APLVersion'	Report interpreter version	Constant			Expression	dyalogapl-version build exe system		
f←{⍵}	Prototypical monadic dfn	Syntax	Monadic Function		Definition	direct dynamic lambda anonymous curlybraces assignment header defining		https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/DynamicFunctions/Dynamic%20Functions%20and%20Operators.htm
f←{⍺}	Prototypical dyadic dfn	Syntax	Dyadic Function		Definition	direct dynamic lambda anonymous curlybraces assignment header defining		https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/DynamicFunctions/Dynamic%20Functions%20and%20Operators.htm
{_← … }	Shy dfn/dop result	Syntax			Definition	curlybraces function operator hideresult traditional		https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/DynamicFunctions/Shy%20Result.htm
X(W(DOP Z))Y	Dyadic operator (DOP) taking an array operand (W) to derive a monadic operator (which in turn takes an array operand to derive a dyadic function)	Syntax	Dyadic Function	Dyadic Operator	Expression	currying derived binding		https://help.dyalog.com/latest/#Language/Introduction/Binding%20Strength.htm
X(W(DOP g))Y	Dyadic operator (DOP) taking a function operand to derive a monadic operator (which in turn takes an array operand to derive a dyadic function)	Syntax	Dyadic Function	Dyadic Operator	Expression	currying derived binding		https://help.dyalog.com/latest/#Language/Introduction/Binding%20Strength.htm
''''	Quote character	Constant	Expression		Text	apostrophe ’ U+27 0x27 %27 quotationmark prime singlequoted in string symbol escape escaping padding quoting literal	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUgYALxk5OzFNXL1H//x8A	https://help.dyalog.com/latest/#Language/Introduction/Variables/Characters.htm
≢⍕!⍋⎕D	Meaning of life (short)	Constant			Expression	hitchhiker'sguidetothegalaxy hitchhikersguidetothegalaxy Deep Thought 42 HG2G HHGTTG H2G2 tHGttG the Answer to the Ultimate Question Life, the Universe, and Everything golf	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExQedS561DtV8VFvN1DA5f9/AA	
X[I;J;…]	Indexing (slicing)	Syntax	Dyadic Function		Selection	squarebrackets subscript choose		
∧\' '=D	Fast: A Boolean mask indicating the leading blank spaces in each row of D	Expression		Performance	Text	speed optimised optimized quick indicate masking blanks start beginning binary base-2 base2 bitmask bit-mask idiom string		
8666⌶0⍴⊂''	Detach shared code files	I-beam	Constant	Monadic Operator	System	detaching all from workspace ibeam Ibeam		https://docs.dyalog.com/latest/Shared%20Code%20Files%20User%20Guide.pdf
2⊃⊃¯10⎕DT'J'	Current ISO day-of-year	Constant			Data Conversion	ISO-8601:2006-09 ISO8601:2006-09 datetime date-time string		
2⊃⊃¯11⎕DT'J'	Current ISO week number	Constant			Data Conversion	ISO-8601:2006-09 ISO8601:2006-09 datetime date-time string		
(,name)←⊂Y	Structural assignment: Replace all items, shape unchanged	Syntax			Expression	leftarrow gets is copula let redefine naming denotes means inplace update cells elements		
(⎕FR⎕PP)←1287 34	System setting for exact integer arithmetic up to 34 digits	Expression			Mathematical	large arbitrary precision infinite bignum high decimals		
⍎Bs⍴'→'	Conditional Abort (cut stack back one frame if Bs)	Expression			Expression	stop		
⊢2⎕NQ#'GetCommandLineArgs'	Report the command line that Dyalog was started with	Constant			Expression	arguments call startup shellscripting input dyalogscripting args argv cmdline cli		
⊢2⎕NQ#'TCPGetHostID'	Report current IP address (first if multiple)	Constant			Expression	Internet Protocol system myIPv4 1st		
0=40⎕ATX'⍺'	Called Monadically? (dfns/dops only)	Expression		Function Application	System	arity ambivalent ambivalence variadic leftargument 900⌶ run called monadic? called applied		
0≠40⎕ATX'⍺'	Called Dyadically? (dfns/dops only)	Expression		Function Application	System	arity ambivalent ambivalence variadic leftargument 900⌶ run called dyadic? called applied		
Ms(16808⌶)'Bernoulli'Jv	Bernoulli distribution of shape Jv with parameters Mv (probabilities:p≥0,q≤1)	I-beam	Dyadic Function	Monadic Operator	Mathematical	prng generate random ibeam Ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Sample%20Probability%20Distribution.htm#Sample_Probability_Distribution
Ms(16808⌶)'Chi Squared'Jv	Chi-squared distribution of shape Jv with parameter Ms (degrees of freedom:k≥0)	I-beam	Dyadic Function	Monadic Operator	Mathematical	prng generate random ibeam Ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Sample%20Probability%20Distribution.htm#Sample_Probability_Distribution
Ms(16808⌶)'Exponential'Jv	Exponential distribution of shape Jv with parameter Ms (rate:λ>0)	I-beam	Dyadic Function	Monadic Operator	Mathematical	prng generate random ibeam Ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Sample%20Probability%20Distribution.htm#Sample_Probability_Distribution
Ms(16808⌶)'Poisson'Jv	Poisson distribution of shape Jv with parameter Ms (rate:λ≥0)	I-beam	Dyadic Function	Monadic Operator	Mathematical	prng generate random ibeam Ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Sample%20Probability%20Distribution.htm#Sample_Probability_Distribution
Ms(16808⌶)'Student T'Jv	Student's t-distribution of shape Jv with parameter Ms (degree of freedom:ν>0)	I-beam	Dyadic Function	Monadic Operator	Mathematical	prng generate random ibeam Ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Sample%20Probability%20Distribution.htm#Sample_Probability_Distribution
Mv(16808⌶)'Normal'Jv	Normal distribution of shape Jv with parameters Mv (location:μ, scale:σ≥0)	I-beam	Dyadic Function	Monadic Operator	Mathematical	prng generate random laplace-gaussian ibeam Ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Sample%20Probability%20Distribution.htm#Sample_Probability_Distribution
Mv(16808⌶)'Inverse Gamma'Jv	Inverse-gamma distribution of shape Jv with parameters Mv (location:μ≥0, scale:b≥0)	I-beam	Dyadic Function	Monadic Operator	Mathematical	prng generate random ibeam Ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Sample%20Probability%20Distribution.htm#Sample_Probability_Distribution
Mv(16808⌶)'Beta'Jv	Beta distribution of shape Jv with parameters Mv (α>0, β>0)	I-beam	Dyadic Function	Monadic Operator	Mathematical	prng generate random ibeam Ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Sample%20Probability%20Distribution.htm#Sample_Probability_Distribution
Mv(16808⌶)'Binomial'Jv	Bernoulli distribution of shape Jv with parameters Mv (trials:n≥0, probability:0≤p≤1)	I-beam	Dyadic Function	Monadic Operator	Mathematical	prng generate random ibeam Ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Sample%20Probability%20Distribution.htm#Sample_Probability_Distribution
Mv(16808⌶)'Cauchy'Jv	Cauchy distribution of shape Jv with parameters Mv (location:x≥0, scale:γ>0)	I-beam	Dyadic Function	Monadic Operator	Mathematical	prng generate random Lorentz-cauchy lorentzian function breit-wigner ibeam Ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Sample%20Probability%20Distribution.htm#Sample_Probability_Distribution
Mv(16808⌶)'F'Jv	F-distribution of shape Jv with parameters Mv (degrees freedom:d₁>0,d²>0)	I-beam	Dyadic Function	Monadic Operator	Mathematical	prng generate random Fisher-Snedecor's F-distribution F-ratio ibeam Ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Sample%20Probability%20Distribution.htm#Sample_Probability_Distribution
Mv(16808⌶)'Gamma'Jv	Gamma distribution of shape Jv with parameters Mv (k>0, θ>0)	I-beam	Dyadic Function	Monadic Operator	Mathematical	prng generate random ibeam Ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Sample%20Probability%20Distribution.htm#Sample_Probability_Distribution
Mv(16808⌶)'Laplace'Jv	Laplace distribution of shape Jv with parameters Mv(location:μ, scale:b≥0)	I-beam	Dyadic Function	Monadic Operator	Mathematical	prng generate random ibeam Ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Sample%20Probability%20Distribution.htm#Sample_Probability_Distribution
Mv(16808⌶)'Log Normal'Jv	Log-normal distribution of shape Jv with parameters Mv (location:μ, scale:σ≥0)	I-beam	Dyadic Function	Monadic Operator	Mathematical	prng generate random lognormal galton's ibeam Ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Sample%20Probability%20Distribution.htm#Sample_Probability_Distribution
Mv(16808⌶)'Logistic'Jv	Logistic distribution of shape Jv with parameters Mv (location:μ, scale:b≥0)	I-beam	Dyadic Function	Monadic Operator	Mathematical	prng generate random ibeam Ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Sample%20Probability%20Distribution.htm#Sample_Probability_Distribution
Mv(16808⌶)'Uniform'Jv	Uniform distribution of shape Jv with parameters Mv (numeric interval a<b)	I-beam	Dyadic Function	Monadic Operator	Mathematical	prng generate random ibeam Ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Sample%20Probability%20Distribution.htm#Sample_Probability_Distribution
Mv(16808⌶)'Weibull'Jv	Weibull distribution of shape Jv with parameters Mv (location:k≥0, scale:λ>0)	I-beam	Dyadic Function	Monadic Operator	Mathematical	prng generate random ibeam Ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Sample%20Probability%20Distribution.htm#Sample_Probability_Distribution
{Xs}(2015⌶)Dv	Create Data Binding Source	I-beam	Function		Array Properties	connect ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Create%20Data%20Binding%20Source.htm
{Xs}(400⌶)Y	Compiler Control	I-beam	Function		System	performance ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Compiler%20Control.htm
{X}(2041⌶)Js	Override COM Default Value (Windows only)	I-beam	Function		System	ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Override%20COM%20Default%20Value.htm
{Av}(2010⌶)Yv	Update DataTable (Windows only)	I-beam	Function		Expression	databinding assignment redefine inplace ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Update%20DataTable.htm
{Av}(2011⌶)Yv	Read DataTable (Windows only)	I-beam	Function		Expression	databinding get fetch value ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Read%20DataTable.htm
{Cv}(1010⌶)Js	Shell Script Debug Options	I-beam	Ambivalen Monadic Function, Dyadic Function	Monadic Operator	System	set report return scripting ⎕trace #! hashbng shebang stderr output echoing ibeam Ibeam		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Set%20Shell%20Script%20Debug%20Options.htm
{Cv}(3500⌶)Dv	Send Text Dv to RIDE-embedded Browser with caption Cv	I-beam	Function		System	html svg rendering cef remoteintegrateddevelopmentenvironment ibeam string		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Send%20Text%20to%20RIDE-embedded%20Browser.htm
{Cv}(8667⌶)Js Cv	Save (names Cv) into shared code file Dv	I-beam	Ambivalent Monadic Function, Dyadic Function	Monadic Operator	System	saving storing putting ibeam Ibeam		https://docs.dyalog.com/latest/Shared%20Code%20Files%20User%20Guide.pdf
{name}⎕WC'MDIClient'	Container for MDI windows (Windows only)	GUI Object			Container Objects	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/MDIClient.htm
{name}⎕WC'Marker'	Draws a series of polymarkers (Windows only)	GUI Object			Graphical Output	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/Marker.htm
{name}⎕WC'MsgBox'	Displays a message box (Windows only)	GUI Object			Information	WindowsForms WinForms Create new notification boxed enclosed		https://help.dyalog.com/latest/#GUI/Objects/MsgBox.htm
{name}⎕WC'MenuItem'	Selects an option or action (Windows only)	GUI Object			Menu	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/MenuItem.htm
{name}⎕WC'MenuBar'	Pull-down menu bar (Windows only)	GUI Object			Menu	WindowsForms WinForms Create new pulldown		https://help.dyalog.com/latest/#GUI/Objects/MenuBar.htm
{name}⎕WC'Menu'	Pop-up menu (Windows only)	GUI Object			Menu	WindowsForms WinForms Create new popup		https://help.dyalog.com/latest/#GUI/Objects/Menu.htm
{name}⎕WC'Metafile'	Loads a Windows Metafile (Windows only)	GUI Object			Resource	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/Metafile.htm
{name}⎕WC'NetClient'	Provides access to .NET Classes	GUI Object			Miscellaneous	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/NetClient.htm
{name}⎕WC'NetControl'	Instantiates a .NET Control (Windows only)	GUI Object			Miscellaneous	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/NetControl.htm
{name}⎕WC'NetType'	Exports an APL namespace as a Net Class	GUI Object			Miscellaneous	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/NetType.htm
{name}⎕WC'ImageList'	Defines a collection of bitmaps or icons (Windows only)	GUI Object			Resource	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/ImageList.htm
{name}⎕WC'Image'	Displays Bitmaps, Icons and Metafiles (Windows only)	GUI Object			Graphical Output	WindowsForms WinForms Create new picture		https://help.dyalog.com/latest/#GUI/Objects/Image.htm
{name}⎕WC'Icon'	Defines an icon (Windows only)	GUI Object			Resource	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/Icon.htm
{name}⎕WC'ActiveXContainer'	Represents the application hosting a Dyalog APL ActiveXControl (Windows only)	GUI Object			Miscellaneous	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/ActiveXContainer.htm
{name}⎕WC'ActiveXControl'	Represents an ActiveX control written in Dyalog APL (Windows only)	GUI Object			Miscellaneous	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/ActiveXControl.htm
{name}⎕WC'Animation'	Displays simple animations from .AVI files (Windows only)	GUI Object			Information	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/Animation.htm
{name}⎕WC'Bitmap'	Defines a bitmap (Windows only)	GUI Object			Resource	WindowsForms WinForms Create new bitmap bmp png gif image		https://help.dyalog.com/latest/#GUI/Objects/Bitmap.htm
{name}⎕WC'BrowseBox'	Prompts user to browse for a folder or other resource. (Windows only)	GUI Object			Input & Selection	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/BrowseBox.htm
{name}⎕WC'ButtonEdit'	Text input field with dropdown button (Windows only)	GUI Object			Input & Selection	WindowsForms WinForms Create new string		https://help.dyalog.com/latest/#GUI/Objects/ButtonEdit.htm
{name}⎕WC'Button'	Selects an option (Windows only)	GUI Object			Action	WindowsForms WinForms Create new checkbox check-box toggle radiobutton radio-button commandlink command-link split		https://help.dyalog.com/latest/#GUI/Objects/Button.htm
{name}⎕WC'Calendar'	Displays a month calendar control (Windows only)	GUI Object			Input & Selection	WindowsForms WinForms Create new copy paste insertfrom		https://help.dyalog.com/latest/#GUI/Objects/Calendar.htm
{name}⎕WC'Circle'	Draws a circle (Windows only)	GUI Object			Graphical Output	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/Circle.htm
{name}⎕WC'Clipboard'	Provides access to Windows clipboard (Windows only)	GUI Object			System Objects	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/Clipboard.htm
{name}⎕WC'ComboEx'	Edit field with selectable list of choices (extended) (Windows only)	GUI Object			Input & Selection	WindowsForms WinForms Create new vector		https://help.dyalog.com/latest/#GUI/Objects/ComboEx.htm
{name}⎕WC'Combo'	Edit field with selectable list of choices (Windows only)	GUI Object			Input & Selection	WindowsForms WinForms Create new vector		https://help.dyalog.com/latest/#GUI/Objects/Combo.htm
{name}⎕WC'ColorButton'	Allows the user to select a colour (Windows only)	GUI Object			Input & Selection	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/ColorButton.htm
{name}⎕WC'CoolBand'	Represents a band in a CoolBar (Windows only)	GUI Object			Container Objects	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/CoolBand.htm
{name}⎕WC'CoolBar'	A container for CoolBand objects (Windows only)	GUI Object			Container Objects	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/CoolBar.htm
{name}⎕WC'Cursor'	Defines a cursor (Windows only)	GUI Object			Resource	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/Cursor.htm
{name}⎕WC'DateTimePicker'	An editable date/time field with an optional drop-down Calendar (Windows only)	GUI Object			Input & Selection	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/DateTimePicker.htm
{name}⎕WC'Edit'	Text input field (Windows only)	GUI Object			Input & Selection	WindowsForms WinForms Create new string		https://help.dyalog.com/latest/#GUI/Objects/Edit.htm
{name}⎕WC'Ellipse'	Draws an ellipse (Windows only)	GUI Object			Graphical Output	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/Ellipse.htm
{name}⎕WC'FileBox'	Prompts user to select a file (Windows only)	GUI Object			Input & Selection	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/FileBox.htm
{name}⎕WC'Font'	Loads a font (Windows only)	GUI Object			Resource	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/Font.htm
{name}⎕WC'Form'	Top-level Window (Windows only)	GUI Object			Container Objects	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/Form.htm
{name}⎕WC'Grid'	Displays a data matrix as a spreadsheet (Windows only)	GUI Object			Input & Selection	WindowsForms WinForms Create new table		https://help.dyalog.com/latest/#GUI/Objects/Grid.htm
{name}⎕WC'Group'	A frame for grouping Buttons and other objects (Windows only)	GUI Object			Container Objects	WindowsForms WinForms Create new fieldset		https://help.dyalog.com/latest/#GUI/Objects/Group.htm
{name}⎕WC'HTMLRenderer'	Displays HTML content	GUI Object			Miscellaneous	WindowsForms WinForms Create new browser CEF chrome chromiumembeddedframework XHTML SVG show		https://help.dyalog.com/latest/#GUI/Objects/HTMLRenderer.htm
{name}⎕WC'Label'	Displays static text (Windows only)	GUI Object			Information	WindowsForms WinForms Create new string		https://help.dyalog.com/latest/#GUI/Objects/Label.htm
{name}⎕WC'ListView'	Displays a collection of items for selection (Windows only)	GUI Object			Input & Selection	WindowsForms WinForms Create new elements cells		https://help.dyalog.com/latest/#GUI/Objects/ListView.htm
{name}⎕WC'List'	For selecting an item (Windows only)	GUI Object			Input & Selection	WindowsForms WinForms Create new cell element		https://help.dyalog.com/latest/#GUI/Objects/List.htm
{name}⎕WC'Locator'	Graphical (positional) input device (Windows only)	GUI Object			Action	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/Locator.htm
{name}⎕WC'OCXClass'	Provides access to OLE Custom Controls (Windows only)	GUI Object			Miscellaneous	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/OCXClass.htm
{name}⎕WC'OLEClient'	Provides access to OLE Automation objects (Windows only)	GUI Object			Miscellaneous	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/OLEClient.htm
{name}⎕WC'OLEServer'	Enables APL to act as an OLE Automation server (Windows only)	GUI Object			Miscellaneous	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/OLEServer.htm
{name}⎕WC'Poly'	Draws lines (Windows only)	GUI Object			Graphical Output	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/Poly.htm
{name}⎕WC'Printer'	For hard-copy output (Windows only)	GUI Object			System Objects	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/Printer.htm
{name}⎕WC'ProgressBar'	Displays the progress of a lengthy operation (Windows only)	GUI Object			Information	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/ProgressBar.htm
{name}⎕WC'PropertyPage'	Tabbed or paged container for other controls (Windows only)	GUI Object			Container Objects	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/PropertyPage.htm
{name}⎕WC'PropertySheet'	Contains PropertyPages (Windows only)	GUI Object			Container Objects	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/PropertySheet.htm
{name}⎕WC'Rect'	Draws rectangles (Windows only)	GUI Object			Graphical Output	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/Rect.htm
{name}⎕WC'RichEdit'	Text input with word-processing capabilities (Windows only)	GUI Object			Input & Selection	WindowsForms WinForms Create new editor string		https://help.dyalog.com/latest/#GUI/Objects/RichEdit.htm
{name}⎕WC'SM'	Specifies a window for ⎕SM (character mode interface) (Windows only)	GUI Object			Miscellaneous	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/SM.htm
{name}⎕WC'Scroll'	Scroll bar (Windows only)	GUI Object			Action	WindowsForms WinForms Create new scrollbar		https://help.dyalog.com/latest/#GUI/Objects/Scroll.htm
{name}⎕WC'Separator'	Separator between items (Windows only)	GUI Object			Menu	WindowsForms WinForms Create new elements cells segmented separated delimiter		https://help.dyalog.com/latest/#GUI/Objects/Separator.htm
{name}⎕WC'Spinner'	Input field with spin buttons (Windows only)	GUI Object			Input & Selection	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/Spinner.htm
{name}⎕WC'Splitter'	Divides a container into panes (Windows only)	GUI Object			Container Objects	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/Splitter.htm
{name}⎕WC'Static'	A frame for drawing and clipping graphics (Windows only)	GUI Object			Container Objects	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/Static.htm
{name}⎕WC'StatusBar'	Ribbon status bar (Windows only)	GUI Object			Container Objects	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/StatusBar.htm
{name}⎕WC'StatusField'	Displays status information (Windows only)	GUI Object			Information	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/StatusField.htm
{name}⎕WC'SubForm'	Acts as an MDI window or a constrained Form (Windows only)	GUI Object			Container Objects	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/SubForm.htm
{name}⎕WC'SysTrayItem'	An item that you can create in the Windows System Tray (Windows only)	GUI Object			Action	WindowsForms WinForms new cell element		https://help.dyalog.com/latest/#GUI/Objects/SysTrayItem.htm
{name}⎕WC'TCPSocket'	Provides an interface to TCP/IP sockets	GUI Object			Miscellaneous	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/TCPSocket.htm
{name}⎕WC'TabButton'	Selects a tabbed SubForm (Windows only)	GUI Object			Action	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/TabButton.htm
{name}⎕WC'TabControl'	Contains TabButtons (tabs) (Windows only)	GUI Object			Container Objects	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/TabControl.htm
{name}⎕WC'Text'	Draws graphical text (Windows only)	GUI Object			Graphical Output	WindowsForms WinForms Create new string		https://help.dyalog.com/latest/#GUI/Objects/Text.htm
{name}⎕WC'Timer'	Generates events at regular intervals	GUI Object			Action	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/Timer.htm
{name}⎕WC'TipField'	Displays pop-up context sensitive help (Windows only)	GUI Object			Information	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/TipField.htm
{name}⎕WC'ToolBar'	Ribbon tool bar (Windows only)	GUI Object			Container Objects	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/ToolBar.htm
{name}⎕WC'ToolButton'	Performs an action or selects an option (Windows only)	GUI Object			Action	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/ToolButton.htm
{name}⎕WC'ToolControl'	Standard Windows tool control (Windows only)	GUI Object			Container Objects	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/ToolControl.htm
{name}⎕WC'TrackBar'	A slider control for analogue input/output (Windows only)	GUI Object			Input & Selection	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/TrackBar.htm
{name}⎕WC'TreeView'	Displays a hierarchical collection of items (Windows only)	GUI Object			Input & Selection	WindowsForms WinForms Create new elements cells		https://help.dyalog.com/latest/#GUI/Objects/TreeView.htm
{name}⎕WC'UpDown'	Spin buttons (Windows only)	GUI Object			Action	WindowsForms WinForms Create new		https://help.dyalog.com/latest/#GUI/Objects/UpDown.htm
+∘÷⍣=⍨1	Golden ratio (as a limit)	Constant	Expression		Mathematical	phi φ ϕ ɸ 1.618033988749894848204586834365638 0.618033988749894848204586834365638	https://tio.run/##ASMA3P9hcGwtZHlhbG9n///ijpXihpAgK@KImMO34o2jPeKNqDH//w	
~∘' '¨↓Dm	Fast: A nested vector comprising simple character vectors constructed from the rows of Dm (which must be of depth 1) with all blank spaces removed	Expression		Performance	Text	speed optimised optimized quick blanks lists idiom string		
1+0≠40⎕ATX'⍺'	Number of arguments used in call (dfns/dops only)	Expression		Function Application	System	arity ambivalent ambivalence variadic leftargument 900⌶ run called monadic? monadically? or dyadic? dyadically? called applied		
'__fi__DDD'(1200⌶)⍳7	Short Finnish weekday names ('MA' 'TI'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__fi__Dddd'(1200⌶)⍳7	Finnish weekday names ('Maanantai' 'Tiistai'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__fr__DDD'(1200⌶)⍳7	Short French weekday names ('LUN.' 'MAR.'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__fr__Dddd'(1200⌶)⍳7	French weekday names ('Lundi' 'Mardi'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__sv__DDD'(1200⌶)⍳7	Short Swedish weekday names ('MÅN' 'TIS'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__sv__Dddd'(1200⌶)⍳7	Swedish weekday names ('Måndag' 'Tisdag'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__da__DDD'(1200⌶)⍳7	Short Danish weekday names ('MA' 'TI'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__da__Dddd'(1200⌶)⍳7	Danish weekday names ('Mandag' 'Tirsdag'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__de__DDD'(1200⌶)⍳7	Short German weekday names ('MO' 'DI'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__de__Dddd'(1200⌶)⍳7	German weekday names ('Montag' 'Dienstag'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__es__DDD'(1200⌶)⍳7	Short Spanish weekday names ('LU.' 'MA.'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__es__Dddd'(1200⌶)⍳7	Spanish weekday names ('Lunes' 'Martes'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__el__DDD'(1200⌶)⍳7	Short Greek weekday names ('ΔΕΥ' 'ΤΡΙ'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__el__Dddd'(1200⌶)⍳7	Greek weekday names ('Δευτέρα' 'Τρίτη'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__it__DDD'(1200⌶)⍳7	Short Italian weekday names ('LUN' 'MAR'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__it__Dddd'(1200⌶)⍳7	Italian weekday names ('Lunedì' 'Martedì'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__ja__DDD'(1200⌶)⍳7	Short Japanese weekday names ('月' '火'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__ja__Dddd'(1200⌶)⍳7	Japanese weekday names ('月曜日' '火曜日'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__nb__DDD'(1200⌶)⍳7	Short Norwegian Bokmål weekday names ('MAN.' 'TIR.'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__nb__Dddd'(1200⌶)⍳7	Norwegian Bokmål weekday names ('Mandag' 'Tirsdag'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__nl__DDD'(1200⌶)⍳7	Short Dutch weekday names ('MA' 'DI'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__nl__Dddd'(1200⌶)⍳7	Dutch weekday names ('Maandag' 'Dinsdag'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__nn__DDD'(1200⌶)⍳7	Short Norwegian Nynorsk weekday names ('MÅ.' 'TY.'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__nn__Dddd'(1200⌶)⍳7	Norwegian Nynorsk weekday names ('Måndag' 'Tysdag'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__pl__DDD'(1200⌶)⍳7	Short Polish weekday names ('PON.' 'WT.'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__pl__Dddd'(1200⌶)⍳7	Polish weekday names ('Poniedzialek' 'Wtorek'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__pt__DDD'(1200⌶)⍳7	Short Portuguese weekday names ('SEG' 'TER'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__pt__Dddd'(1200⌶)⍳7	Portuguese weekday names ('Segunda-feira' 'Terça-feira'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__ru__DDD'(1200⌶)⍳7	Short Russian weekday names ('ПН' 'ВТ'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__ru__Dddd'(1200⌶)⍳7	Russian weekday names ('Понедельник' 'Вторник'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__zh__DDD'(1200⌶)⍳7	Short Chinese weekday names ('周一' '周二'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__zh__Dddd'(1200⌶)⍳7	Chinese weekday names ('星期一' '星期二'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'DDD'(1200⌶)⍳7	Short English weekday names ('MON' 'TUE'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'Dddd'(1200⌶)⍳7	English weekday names ('Monday' 'Tuesday'…)	Expression			Text	weekdays of		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
)SAVE {-force} {ws}	Save active workspace, optionally with new name ws (overwrite any existing if -force)	Non-syntax			System Command	archive store ⎕save		https://help.dyalog.com/latest/#Language/System%20Commands/save.htm
op←{⍺⍺ ⍵}	Prototypical monadic dop deriving monadic functions	Syntax	Monadic Function	Monadic Operator	Definition	direct dynamic lambda anonymous curlybraces assignment header defining		
op←{⍵⍵ ⍵}	Prototypical dyadic dop deriving monadic functions	Syntax	Monadic Function	Dyadic Operator	Definition	direct dynamic lambda anonymous curlybraces assignment header defining		
op←{⍺⍺ ⍺}	Prototypical monadic dop deriving dyadic functions	Syntax	Dyadic Function	Monadic Operator	Definition	direct dynamic lambda anonymous curlybraces assignment header defining		
op←{⍵⍵ ⍺}	Prototypical dyadic dop deriving dyadic functions	Syntax	Dyadic Function	Dyadic Operator	Definition	direct dynamic lambda anonymous curlybraces assignment header defining		
⍎⌽⍕⌈*○≡⍬	Meaning of life (modern)	Constant			Expression	hitchhiker'sguidetothegalaxy hitchhikersguidetothegalaxy Deep Thought 42 HG2G HHGTTG H2G2 tHGttG the Answer to the Ultimate Question Life, the Universe, and Everything new updated	https://tio.run/##ASsA1P9hcGwtZHlhbG9n///ijpXihpAg4o2O4oy94o2V4oyIKuKXi@KJoeKNrP//	
+/∧\' '=D	Fast: The number of leading blank spaces in each row of D	Expression		Performance	Text	speed optimised optimized quick blanks start beginning idiom string		
3600÷⍨-/20⎕DT'JZ'	Local time-zone offset from UTC	Constant	Expression		Data Conversion	timezone tz utc+ utc- which		
:Implements Trigger name1{,name2,name3,…}	Delare function as a trigger function called when any of the listed variables is changed	Syntax	Control	Keyword	Expression	declaration declare oo objectorientation		https://help.dyalog.com/latest/#Language/Defined%20Functions%20and%20Operators/Triggers/Triggers.htm
'__fi__MMM'(1200⌶)29×⍳12	Short Finnish month names ('TAMMI' 'HELMI'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__fi__Mmmm'(1200⌶)29×⍳12	Finnish month names ('Tammikuu' 'Helmikuu'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__fr__MMM'(1200⌶)29×⍳12	Short French month names ('JANV.' 'FÉVR.'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__fr__Mmmm'(1200⌶)29×⍳12	French month names ('Janvier' 'Février'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__sv__MMM'(1200⌶)29×⍳12	Short Swedish month names ('JAN' 'FEB'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__sv__Mmmm'(1200⌶)29×⍳12	Swedish month names ('Januari' 'Februari'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__da__MMM'(1200⌶)29×⍳12	Short Danish month names ('JAN' 'FEB'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__da__Mmmm'(1200⌶)29×⍳12	Danish month names ('Januar' 'Februar'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__de__MMM'(1200⌶)29×⍳12	Short German month names ('JAN' 'FEB'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__de__Mmmm'(1200⌶)29×⍳12	German month names ('Januar' 'Februar'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__es__MMM'(1200⌶)29×⍳12	Short Spanish month names ('ENE.' 'FEB.'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__es__Mmmm'(1200⌶)29×⍳12	Spanish month names ('Enero' 'Febrero'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__el__MMM'(1200⌶)29×⍳12	Short Greek month names ('ΙΑΝ' 'ΦΕΒ'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__el__Mmmm'(1200⌶)29×⍳12	Greek month names ('Ιανουάριος' 'Φεβρουάριος'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__it__MMM'(1200⌶)29×⍳12	Short Italian month names ('GEN' 'FEB'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__it__Mmmm'(1200⌶)29×⍳12	Italian month names ('Gennaio' 'Febbraio'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__ja__MMM'(1200⌶)29×⍳12	Short Japanese month names ('1月' '2月'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__ja__Mmmm'(1200⌶)29×⍳12	Japanese month names ('1月' '2月'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__nb__MMM'(1200⌶)29×⍳12	Short Norwegian Bokmål month names ('JAN' 'FEB'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__nb__Mmmm'(1200⌶)29×⍳12	Norwegian Bokmål month names ('Januar' 'Februar'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__nl__MMM'(1200⌶)29×⍳12	Short Dutch month names ('JAN' 'FEB'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__nl__Mmmm'(1200⌶)29×⍳12	Dutch month names ('Januari' 'Februari'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__nn__MMM'(1200⌶)29×⍳12	Short Norwegian Nynorsk month names ('JAN' 'FEB'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__nn__Mmmm'(1200⌶)29×⍳12	Norwegian Nynorsk month names ('Januar' 'Februar'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__pl__MMM'(1200⌶)29×⍳12	Short Polish month names ('STY' 'LUT'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__pl__Mmmm'(1200⌶)29×⍳12	Polish month names ('Styczen' 'Luty'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__pt__MMM'(1200⌶)29×⍳12	Short Portuguese month names ('JAN' 'FEV'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__pt__Mmmm'(1200⌶)29×⍳12	Portuguese month names ('Janeiro' 'Fevereiro'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__ru__MMM'(1200⌶)29×⍳12	Short Russian month names ('ЯНВ' 'ФЕВ'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__ru__Mmmm'(1200⌶)29×⍳12	Russian month names ('Январь' 'Февраль'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__zh__MMM'(1200⌶)29×⍳12	Short Chinese month names ('1月' '2月'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'__zh__Mmmm'(1200⌶)29×⍳12	Chinese month names ('一月' '二月'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'MMM'(1200⌶)29×⍳12	Short English month names ('JAN' 'FEB'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
'Mmmm'(1200⌶)29×⍳12	English month names ('January' 'February'…)	Expression			Text	of months		https://help.dyalog.com/latest/#Language/I%20Beam%20Functions/Format%20Datetime.htm
⎕DMX.(Category ENX)≡'XML conversion'1	Invalid left argument	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'10	Invalid '--' in comment	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'11	'>' expected	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'12	Attribute, '>' or '/>' expected	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'13	Invalid ']]>'	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'14	Invalid entity reference	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'15	Unterminated character reference	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'16	Invalid character reference	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'17	Invalid character from character reference	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'18	Tag mismatch	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'19	Tag imbalance	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'2	Invalid right argument	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'20	'=' expected	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'21	Quote expected at start of attribute value	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'22	Unterminated attribute value	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'23	'<' not allowed in attribute value	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'24	Numeric value expected in level column	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'25	Level must be a non-negative value	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'26	Outer level must be 0	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'27	Level increment must be no greater than 1	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'28	Character vector expected in tag column	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'29	Invalid attribute array	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'3	Array has invalid number of columns	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'30	Attribute list should have two columns	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'31	Attribute list but no tag	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'32	Character vector expected for attribute name	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'33	Zero-length attribute name	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'34	Invalid attribute name	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'35	Numeric scalar or character vector expected for attribute value	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'36	Invalid xml:space attribute value	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'37	Numeric scalar or character vector expected in data column	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'38	Invalid character in data	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'39	Numeric value expected in type column	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'4	Unterminated comment	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'40	Invalid tag name	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'41	Invalid character in attribute value	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'42	Orphaned data	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'43	Invalid option name	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'44	Invalid option value	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'45	Invalid column	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'46	Columns have inconsistent number of rows	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'5	Unterminated <![CDATA[	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'6	Too many levels of nesting	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'7	Invalid character	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'8	Unterminated markup	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'XML conversion'9	Unterminated processing instruction	Constant	Expression	XML conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Name association'1	Shared library could not be loaded	Constant	Expression	Name association	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Name association'2	Bad parameter specification	Constant	Expression	Name association	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Name association'3	The specified function could not be found	Constant	Expression	Name association	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Name association'4	Callback is not a function	Constant	Expression	Name association	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Name association'5	Callback is not a function name	Constant	Expression	Name association	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Name association'6	Null pointer returned for ⎕NA result of type A or Z	Constant	Expression	Name association	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'1	Invalid left argument	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'10	Unable to lock file	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'11	Tie number not in use	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'12	Unable to open file	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'13	read error	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'14	Unable to seek in file	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'15	Tie number in use	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'16	Too many tied files	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'17	Unable to truncate file	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'18	Unable to write to file	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'19	Invalid element count	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'2	Invalid right argument	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'20	Invalid file offset	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'21	Invalid length	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'22	Invalid conversion code	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'23	Invalid mode	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'24	Invalid lock type	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'25	Invalid timeout	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'26	The total number of bits in the right argument is not an exact multiple of the number of bits in the type given in the left argument	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'27	Left argument should be a character array	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'28	Invalid left argument: three elements only allowed with Classic Edition	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'29	Invalid left argument: 163 82 expected in the second and third elements	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'3	Invalid tie number	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'30	Translate vector should have 256 elements	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'31	Translate vector element value out of range	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'32	Missing left argument	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'33	Name too long	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'34	Left argument array could not be converted to the requested type	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'35	Array too large	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'36	Missing filename	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'37	Invalid directory name	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'38	Invalid file or directory name	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'39	Unable to delete directory	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'4	Unable to create file	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'40	Already exists	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'41	Unable to create directory	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'42	Unable to set file attributes	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'43	Invalid user name	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'44	Invalid group name	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'45	Unable to normalise the file or directory name	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'46	Right argument should be file name and optional flags	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'47	Left argument should be content, optional encoding and optional line ending	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'48	Invalid file name	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'49	Invalid file encoding type	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'5	Unable to delete file	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'50	Unable to decode the file	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'51	Unable to encode the file	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'52	Invalid text array	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'53	Invalid line ending	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'54	NEL line ending (133) not supported by the selected file encoding	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'55	Invalid option value	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'56	Invalid character value for variant option	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'57	Invalid numeric value for variant option	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'58	The number of columns must be specified because the 'Ragged' option is set.	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'6	File name mismatch	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'60	Invalid CSV source in right argument	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'61	Invalid CSV source type in right argument	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'62	Invalid column description in right argument	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'63	Invalid header specification in right argument	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'64	Invalid CSV destination in right argument	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'65	Invalid field value	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'66	Field too long	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'67	Incorrect record length	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'68	Unexpected end of input	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'69	Invalid field format	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'7	Unable to manipulate file descriptor	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'70	Invalid number of fields	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'71	Non-numeric data	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'72	Inconsistent column count	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'73	Inconsistent row count	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'74	Invalid file or directory	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'75	Invalid directory	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'76	Unable to open file	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'77	Invalid file encoding definition	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'78	Invalid file encoding definition (contains an invalid Unicode codepoint)	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'79	Invalid file encoding definition (contains duplicate Unicode codepoints)	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'8	File already tied	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'80	Unable to identify the temporary directory	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'81	Overwrite and append options are both set	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'82	Unable to generate a unique file name	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'83	Mismatched number of source and destination names	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'84	Invalid source file or directory name	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'85	Invalid destination file or directory name	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'86	Not an existing directory	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'87	Unable to move	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'88	. and .. cannot be copied into an existing directory	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'89	. and .. cannot be moved	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'9	Unable to read file status	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'90	Unable to scan directory	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'91	Unable to create link	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'92	The field separator, field quote character and escape character must all be different	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category segmented separated delimiter		
⎕DMX.(Category ENX)≡'Native files'93	Unable to read directory status	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'94	Cannot copy a directory into itself	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Native files'95	Directory depth	Constant	Expression	Native files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Numeric conversion'1	Invalid value	Constant	Expression	Numeric conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Numeric conversion'2	Value out of range	Constant	Expression	Numeric conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Numeric conversion'3	The specified array is too large for this operation	Constant	Expression	Numeric conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Numeric conversion'4	32-bit interpreter limit	Constant	Expression	Numeric conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Numeric conversion'5	Numeric value required	Constant	Expression	Numeric conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Numeric conversion'6	Character value required	Constant	Expression	Numeric conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Numeric conversion'7	Ref not allowed here	Constant	Expression	Numeric conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Numeric conversion'9	Boolean singleton value required	Constant	Expression	Numeric conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Isolates and futures'1	Future has no value	Constant	Expression	Isolates and futures	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Isolates and futures'3	invalid assignment into an isolate	Constant	Expression	Isolates and futures	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Isolates and futures'4	isolate function does not exist or is not valid	Constant	Expression	Isolates and futures	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Internal'1	Value is false	Constant	Expression	Internal	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Internal'2	Impossible conversion criteria	Constant	Expression	Internal	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Internal'3	Arithmetic overflow	Constant	Expression	Internal	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Internal'4	Display encountered an unexpected element type within an array	Constant	Expression	Internal	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'JSON conversion'1	JSON import: unexpected end of input	Constant	Expression	JSON conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'JSON conversion'10	JSON import: invalid object	Constant	Expression	JSON conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'JSON conversion'11	Output failure	Constant	Expression	JSON conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'JSON conversion'12	JSON export: value cannot be converted	Constant	Expression	JSON conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'JSON conversion'13	JSON export: invalid matrix or sub-matrix	Constant	Expression	JSON conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'JSON conversion'14	JSON export: level must be a non-negative integer	Constant	Expression	JSON conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'JSON conversion'15	JSON export: level 0 expected	Constant	Expression	JSON conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'JSON conversion'16	JSON export: non-zero level expected	Constant	Expression	JSON conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'JSON conversion'17	JSON export: level increment must be no greater than 1	Constant	Expression	JSON conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'JSON conversion'18	JSON export: invalid level increment	Constant	Expression	JSON conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'JSON conversion'19	JSON export: Name must be a character vector or scalar	Constant	Expression	JSON conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'JSON conversion'2	JSON import: end of input expected	Constant	Expression	JSON conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'JSON conversion'20	JSON export: Name not expected	Constant	Expression	JSON conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'JSON conversion'21	JSON export: Type must be an integer	Constant	Expression	JSON conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'JSON conversion'22	JSON export: invalid type	Constant	Expression	JSON conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'JSON conversion'23	JSON export: value does not match the specified type	Constant	Expression	JSON conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'JSON conversion'25	JSON export: circular namespace reference	Constant	Expression	JSON conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'JSON conversion'26	Invalid left argument	Constant	Expression	JSON conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'JSON conversion'27	JSON import: invalid name	Constant	Expression	JSON conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'JSON conversion'28	JSON import: duplicated name	Constant	Expression	JSON conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'JSON conversion'29	JSON export: tabular data is invalid	Constant	Expression	JSON conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'JSON conversion'3	JSON import: invalid character	Constant	Expression	JSON conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'JSON conversion'30	JSON export: tabular data has invalid header name(s)	Constant	Expression	JSON conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'JSON conversion'31	JSON export: tabular data has invalid row or column specification	Constant	Expression	JSON conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'JSON conversion'4	JSON import: invalid number	Constant	Expression	JSON conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'JSON conversion'5	JSON import: number out of range	Constant	Expression	JSON conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'JSON conversion'6	JSON import: invalid string	Constant	Expression	JSON conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'JSON conversion'7	JSON import: invalid hexadecimal digit	Constant	Expression	JSON conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'JSON conversion'8	JSON import: invalid UTF-16 encoding	Constant	Expression	JSON conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'JSON conversion'9	JSON import: invalid array	Constant	Expression	JSON conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Compiler'1	Nameclass of non-local name has changed since compilation	Constant	Expression	Compiler	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Compiler'2	Detected bytecode from a previous version; please uncompile and recompile	Constant	Expression	Compiler	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'1	Tie number not in use	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'10	Unable to create file	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'100	Invalid compression level	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'101	File type does not allow compression to be set	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'102	Invalid file type whilst compression is set	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'103	External variables do not support namespaces	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'11	Unable to open file	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'12	Not a component file (bad magic number)	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'13	Not a component file (too short)	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'14	Unsupported archaic file architecture	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'15	Incompatible file architecture	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'16	Incompatible journal detected	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'17	Damaged free tree	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'18	Damaged component tree	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'19	FCHK was previously unable to recover this component	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'2	Tie number in use	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'20	Incorrect passnumber	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'21	Prohibited by access matrix	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'22	Unable to read file status	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'23	Unable to read file header	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'24	Unable to read file	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'27	Invalid length in component header	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'28	Write access required for exclusive tie	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'29	Write access required - journal present	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'3	Invalid tie number	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'30	Write access required - file needs to be converted	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'31	File must be exclusively tied to adjust file header structure	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'32	Unable to write component data	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'33	File size limit reached	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'34	Unable to free space within file	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'36	Insufficient space in file	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'37	Unable to delete file	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'38	Cannot exceed maximum component number	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'39	Unable to rename file	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'4	File already tied	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'40	Unable to read one or more components whilst adding checksums	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'41	Unable to write journal	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'42	Unable to manipulate file descriptor	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'43	Unable to lock file	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'44	Unable to seek in file	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'45	Unable to checksum - invalid block length	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'46	Invalid left argument	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'47	Invalid right argument	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'48	Invalid filename	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'49	Invalid component number	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'5	Too many tied files	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'50	No such component	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'51	Too few components in file	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'52	File name mismatch	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'53	Invalid passnumber	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'54	The 'concurrent' option must only be used for validation	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'55	File not checksummed	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'56	Invalid file size	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'57	Option invalid with small span files	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'58	Component too big for a small span file	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'59	One or more components would become too big for a small span file	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'6	File must be exclusively tied	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'60	Duplicated option	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'61	Invalid option	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'62	Invalid option value	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'63	Invalid journaling level	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'64	Selected journaling level requires checksumming	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'65	Invalid checksumming level	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'66	File too big	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'67	File name buffer overflow	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'68	Unable to compact file	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'69	Component checksum mismatch	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'7	File opened read-only	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'70	User number override active: no access to other user's files	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'71	Invalid access matrix specification	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'72	File is read only due to an architectural conflict but write access is required for exclusive access	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'73	A name in the directory is too long	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'76	File error - invalid value in access matrix	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'77	Property name(s) or name/value pair(s) expected in left argument	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'78	Invalid property name	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'79	Invalid property value	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'8	File opened read-only because of the file architecture	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'80	Duplicated property setting	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'81	Filename and optional file size limit expected in left argument	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'83	Tie numbers or two-row matrix of tie numbers and passnumbers expected in right argument	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'84	Tie number and optional passnumber expected in right argument	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'85	Tie number and optional address size expected in right argument	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'86	Tie number, component number and optional passnumber expected in right argument	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'87	Tie number, component count and optional passnumber expected in right argument	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'88	Invalid span size	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'89	Invalid component count	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'9	File exists	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'90	Not a component file (nascent)	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'91	Component file does not support transactions	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'92	Operation disallowed whilst a transaction is taking place	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'93	Transactioning only supported in 64-bit, journaled and checksummed component files	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'94	No transaction ID is set	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'95	File still contains data from transaction which should be removed by the server	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'96	File must be tied in 'Frozen' mode	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'97	Unsupported transaction type	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'98	Small-span files are read-only; ⎕FCOPY can create a writable large-span copy	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Component file system'99	Invalid transaction level	Constant	Expression	Component file system	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Core to aplcore conversion'1	Invalid workspace address in core	Constant	Expression	Core to aplcore conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Core to aplcore conversion'10	Cannot extract workspace information	Constant	Expression	Core to aplcore conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Core to aplcore conversion'11	Failed to completely write the new aplcore	Constant	Expression	Core to aplcore conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Core to aplcore conversion'12	Operation not allowed in post-mortem mode	Constant	Expression	Core to aplcore conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Core to aplcore conversion'13	Core too aplcore not supported for this version	Constant	Expression	Core to aplcore conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Core to aplcore conversion'14	Conversion of 32 bit core using 64 bit APL not supported	Constant	Expression	Core to aplcore conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Core to aplcore conversion'2	Workspace structure in core has wrong length	Constant	Expression	Core to aplcore conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Core to aplcore conversion'3	Conversion of 64 bit core using 32 bit APL not supported	Constant	Expression	Core to aplcore conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Core to aplcore conversion'4	Problem with left argument	Constant	Expression	Core to aplcore conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Core to aplcore conversion'5	Problem with right argument	Constant	Expression	Core to aplcore conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Core to aplcore conversion'6	Core file is empty	Constant	Expression	Core to aplcore conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Core to aplcore conversion'7	Not enough address space to map core file	Constant	Expression	Core to aplcore conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Core to aplcore conversion'8	Not a proper core file	Constant	Expression	Core to aplcore conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Core to aplcore conversion'9	Core does not contain Dyalog's own address block	Constant	Expression	Core to aplcore conversion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Data binding'1	Binding types cannot be redefined	Constant	Expression	Data binding	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Data binding'2	The variable's name is too long	Constant	Expression	Data binding	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Data binding'3	Cannot change rank of a databound array	Constant	Expression	Data binding	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Data binding'4	Cannot change the number of columns in a databound matrix	Constant	Expression	Data binding	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Data binding'5	Cannot databind to an array with rank greater than two	Constant	Expression	Data binding	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Data compression'1	Invalid left argument	Constant	Expression	Data compression	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Data compression'10	Invalid compression level	Constant	Expression	Data compression	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Data compression'11	Unable to decompress the source of a scripted object	Constant	Expression	Data compression	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Data compression'2	Invalid compression library	Constant	Expression	Data compression	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Data compression'3	Compression level cannot be specified for this compression library	Constant	Expression	Data compression	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Data compression'4	Data too long for selected compressor	Constant	Expression	Data compression	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Data compression'5	Invalid right argument	Constant	Expression	Data compression	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Data compression'6	Invalid compressed data	Constant	Expression	Data compression	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Data compression'7	Invalid compressed data and/or mismatched left argument	Constant	Expression	Data compression	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Data compression'8	Compression library ran out of memory	Constant	Expression	Data compression	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Data compression'9	Compression library reported an unexpected error	Constant	Expression	Data compression	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Data exchange'1	Array was created by a later version of the interpreter and cannot be processed	Constant	Expression	Data exchange	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Data exchange'10	DECF will not fit into a double	Constant	Expression	Data exchange	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Data exchange'11	Function is too old to convert with this version of APL	Constant	Expression	Data exchange	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Data exchange'12	Object oriented namespace cannot be serialised	Constant	Expression	Data exchange	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Data exchange'13	GUI Object cannot be serialised	Constant	Expression	Data exchange	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Data exchange'14	Cannot send or receive complex arrays because APL_COMPLEX_AS_V12 is set	Constant	Expression	Data exchange	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Data exchange'2	Read function terminated early. End of file	Constant	Expression	Data exchange	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Data exchange'3	Read function returned error	Constant	Expression	Data exchange	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Data exchange'4	Write function terminated early	Constant	Expression	Data exchange	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Data exchange'5	Write function returned error	Constant	Expression	Data exchange	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Data exchange'6	Array cannot be serialised	Constant	Expression	Data exchange	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Data exchange'7	Incoming array is invalid	Constant	Expression	Data exchange	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Data exchange'8	Namespace is not self contained	Constant	Expression	Data exchange	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Data exchange'9	Attempt to pass complex array	Constant	Expression	Data exchange	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Development environment'1	The editor can only be used within a Session	Constant	Expression	Development environment	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'External workspace'1	Not supported on 32 bit or Classic Editions	Constant	Expression	External workspace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'External workspace'10	Failed to unload one or more existing files	Constant	Expression	External workspace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'External workspace'11	List of names contains invalid name	Constant	Expression	External workspace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'External workspace'12	List of names can be a vector of vectors or a matrix	Constant	Expression	External workspace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'External workspace'13	List of names must be character	Constant	Expression	External workspace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'External workspace'14	Cannot obtain memory statistics from operating system	Constant	Expression	External workspace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'External workspace'15	Operating system has provided more information than can be processed	Constant	Expression	External workspace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'External workspace'16	External workspace unusable	Constant	Expression	External workspace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'External workspace'17	External workspace failed to load: unsuitable address	Constant	Expression	External workspace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'External workspace'18	External workspace failed to map	Constant	Expression	External workspace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'External workspace'19	Different external workspace already loaded	Constant	Expression	External workspace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'External workspace'3	Unexpected data	Constant	Expression	External workspace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'External workspace'4	Filename should be a vector	Constant	Expression	External workspace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'External workspace'5	Left argument should be a slot identifier	Constant	Expression	External workspace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'External workspace'6	When used monadically the right argument must be an empty vector	Constant	Expression	External workspace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'External workspace'7	Right argument should be a slot identifier and a file name	Constant	Expression	External workspace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'External workspace'8	Right argument should be a vector of file names	Constant	Expression	External workspace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'External workspace'9	More filenames than are supported	Constant	Expression	External workspace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Externalise data'1	Namespace/object references are not allowed	Constant	Expression	Externalise data	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'File Watcher functions'1	No support	Constant	Expression	File Watcher functions	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'File Watcher functions'2	Can't watch this path	Constant	Expression	File Watcher functions	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'File Watcher functions'3	Can't unwatch this	Constant	Expression	File Watcher functions	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'File mapping'1	Cannot map file	Constant	Expression	File mapping	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'File mapping'10	Shape needs to be fully specified	Constant	Expression	File mapping	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'File mapping'11	File name must be a character vector	Constant	Expression	File mapping	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'File mapping'12	Right argument must be a vector	Constant	Expression	File mapping	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'File mapping'13	Right argument has too many elements	Constant	Expression	File mapping	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'File mapping'14	Access code must be 'R' or 'W'	Constant	Expression	File mapping	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'File mapping'15	Offset must be numeric and a multiple of page size	Constant	Expression	File mapping	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'File mapping'16	Offset with 'W' not supported	Constant	Expression	File mapping	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'File mapping'17	Offset alignment must be a multiple of the word size (8 on 64 bit versions)	Constant	Expression	File mapping	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'File mapping'18	Offset exceeds file size	Constant	Expression	File mapping	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'File mapping'19	Left argument must have 1 to 16 elements	Constant	Expression	File mapping	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'File mapping'2	GetFileSizeEx() failed	Constant	Expression	File mapping	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'File mapping'20	Only one undefined shape element allowed in left argument	Constant	Expression	File mapping	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'File mapping'3	File too big	Constant	Expression	File mapping	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'File mapping'4	File too small	Constant	Expression	File mapping	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'File mapping'5	Too many Boolean elements	Constant	Expression	File mapping	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'File mapping'6	Cannot unmap file	Constant	Expression	File mapping	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'File mapping'7	Cannot map pages	Constant	Expression	File mapping	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'File mapping'8	Cannot synchronise file	Constant	Expression	File mapping	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'File mapping'9	Flushing file to disk failed	Constant	Expression	File mapping	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'GUI'10	This property cannot be set on this type of object	Constant	Expression	GUI	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'GUI'11	The object name is too long	Constant	Expression	GUI	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'GUI'12	The event contains an invalid object or event name	Constant	Expression	GUI	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'GUI'13	The object could not be created	Constant	Expression	GUI	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'GUI'14	An incompatible comctl32.dll is loaded	Constant	Expression	GUI	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'GUI'15	The specified file is of the wrong type	Constant	Expression	GUI	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'GUI'16	MDI child limit reached	Constant	Expression	GUI	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'GUI'17	VScroll and HScroll must be between 0 and -3, depending on object type	Constant	Expression	GUI	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'GUI'18	Cannot clone a namespace with a GUI component	Constant	Expression	GUI	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'GUI'19	Cannot exclusively lock the clipboard	Constant	Expression	GUI	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'GUI'2	There was an error processing a property of the right argument	Constant	Expression	GUI	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'GUI'3	Font specifier must be a character scalar or vector or an object reference	Constant	Expression	GUI	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'GUI'4	RTFText must be a vector of 8 bit characters	Constant	Expression	GUI	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'GUI'5	⎕DQ can only process objects created on the same thread	Constant	Expression	GUI	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'GUI'6	Invalid property name	Constant	Expression	GUI	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'GUI'7	Invalid argument passed: character array expected	Constant	Expression	GUI	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'GUI'8	Invalid argument passed: numeric value or ICON object expected	Constant	Expression	GUI	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'GUI'9	This object cannot be saved to this type of file	Constant	Expression	GUI	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'1	Divide by zero	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'10	Unexpected name in signalled ⎕DMX specification	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'100	Unpaired syntactic element	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'101	⎕FR=645 limits arithmetic to the range +/-1.79E308 (approx)	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'102	Where right argument must be integer	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'11	Duplicate name in signalled ⎕DMX specification	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'12	Unexpected value in signalled ⎕DMX specification	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'13	Incorrect ⎕DMX specification format	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'14	Cannot provide a left argument with the given right argument	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'15	A signalled message must be a character vector or scalar	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'16	The selected random number generator is not implemented on this platform	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'17	Roll right argument must consist of non-negative integer(s)	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'18	Deal left argument must be non-negative	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'19	Deal right argument must be greater than or equal to the left argument	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'2	Invalid use of variant	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'20	The selected random number generator does not produce a sufficient range of values	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'21	Invalid random number generator selected	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'22	No result was provided when the context expected one	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'23	The function requires a left argument	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'24	The function does not take a left argument	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'25	Invalid use of variant: bad option value	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'26	An error occurred creating the ⎕DMX information	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'27	Deal right argument must be non-negative	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'28	Cannot :Hold within a high priority callback	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'29	Cannot TSYNC within a high priority callback	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'3	Out of memory	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'30	Cannot fork with more than one APL thread	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'31	Unable to format result	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'32	Argument must be single	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'33	Argument must be positive	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'34	Argument must be a symbol name	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'35	External function no longer exists	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'36	Unicode character not in ⎕AVU	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'39	Repeated axis	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'4	Not supported on this platform	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'40	Function tree too deep or contains cycle	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'41	Invalid left argument	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'42	Invalid right argument	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'43	Invalid axis	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'44	Missing right argument	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'45	Invalid date/time	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'46	Rank of resultant array would exceed maximum permitted	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'47	Execute did not return a result	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'48	Argument must be non-empty	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'49	Left argument must be non-empty	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'5	Invalid I-Beam function selection	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category ibeam Ibeam		
⎕DMX.(Category ENX)≡'General'50	Right argument must be non-empty	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'51	The CPU does not have the required SSE instructions	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'52	It must be that either the left and right frames match or one of them has length 0	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'53	File name is too long	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'54	Use of Interface is inappropriate	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'55	Use of Instance is inappropriate	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'56	Use of ⎕SE is inappropriate	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'57	Use of # is inappropriate	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'58	Use of ⎕DM is inappropriate	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'59	Argument type only supported for Classic versions	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'6	Can't change nameclass on assignment	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'60	I-Beam function has been withdrawn	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category ibeam Ibeam		
⎕DMX.(Category ENX)≡'General'61	I-Beam function is not supported by this interpreter	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category ibeam Ibeam		
⎕DMX.(Category ENX)≡'General'62	Operation cannot be completed with an "external" call on the stack	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'63	Command interpreter failed to start	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'64	Output truncated: line too long	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'65	Command interpreter failed to execute command	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'66	Command interpreter returned failure code	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'67	⎕RL indexed and selective assignment is not permitted	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'68	Invalid UTF-8 sequence	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'69	The program could not be created	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'7	Invalid modified assignment, or an attempt was made to change nameclass on assignment	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'70	The name is too long	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'71	Right operand: no result	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'72	Right operand: not Boolean	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'73	Right operand and argument ranks differ	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'74	Right operand and argument lengths differ	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'75	Array left argument conflicts with array left operand	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'77	Right operand rank too high	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'78	Unable to generate an initial random value because the system RNG is not available; ⎕RL must be set to provide an initial seed value	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'79	Left argument must be less than 2147483.648 seconds (2*31 milliseconds)	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'8	Invalid seed value	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'80	There is not enough space in the buffer. Increase the setting	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'81	Mismatched left and right argument lengths	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'82	Mismatched left and right argument shapes	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'83	Unmatched control structure	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'84	Unmatched {}	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'85	Undefined name	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'86	Mismatched left and right argument ranks	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'87	Cannot wait for an isolate within a high priority callback	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'88	Left argument must be sorted ascending	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'89	Invalid syntactic element	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'9	Invalid error number for signal	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'90	Invalid token	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'91	Right argument must be a vector of correct length	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'92	Where right argument must be non-negative	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'General'99	Invalid: The function may need to be refixed	Constant	Expression	General	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'1	Windows are open	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'10	Session namespace is referenced by #	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'11	Active calls to or from external functions or certain callbacks are present	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'12	There are pendent compiled functions	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'13	An external workspace is present	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'14	File exists	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'15	File exists and is not a workspace or session file	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'16	File could not be created	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'17	Open file limit has been reached	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'18	Write failed	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'19	Workspace not found	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'2	Variables are shared	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'20	Not a workspace	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'21	Workspace too large	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'22	A session object is connected to a shared or external variable	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'23	Insufficient resources	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'24	Workspace generated by a later version of the interpreter	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'25	Cannot load a Conference Edition workspace	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'27	Only aplcores/dumps generated by the same architecture can be loaded	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'3	Connection exists to an external object in session namespace	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'30	⎕DM references session namespace	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'33	Post-mortem workspace is loaded	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'34	Cannot attempt to load a new workspace over a post-mortem workspace	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'35	Workspace cannot be saved in post-mortem mode	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'36	External workspace already exists	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'38	Load failed	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'39	Name not found	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'4	In session namespace	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'40	Name not copied	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'41	Workspace predates version 11.0	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'42	Workspace references externalised data	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'43	64-bit version is needed to load this workspace	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'44	Workspace contains an unsupported execution stack	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'5	State indicator contains a session namespace	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'6	OLE clients are attached	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'7	Threads are running	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'8	Mapped files are present	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Load and save'9	# is referenced by session namespace	Constant	Expression	Load and save	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'OLE'10	This property can only be accessed with indexers	Constant	Expression	OLE	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'OLE'11	There is no IUnknown available from the server	Constant	Expression	OLE	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'OLE'12	Cannot set a readonly property	Constant	Expression	OLE	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'OLE'13	Cannot convert argument type	Constant	Expression	OLE	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'OLE'14	The call to the object succeeded but an error occurred saving the result in the workspace	Constant	Expression	OLE	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'OLE'2	The CLSID is not in a valid format	Constant	Expression	OLE	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'OLE'3	Cannot resolve name to a CLSID	Constant	Expression	OLE	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'OLE'4	There is no class factory for the server	Constant	Expression	OLE	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'OLE'5	There is no type library for the server	Constant	Expression	OLE	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'OLE'6	There is no running instance of the server	Constant	Expression	OLE	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'OLE'7	There is no IDispatch available from the server	Constant	Expression	OLE	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'OLE'8	There is not enough memory	Constant	Expression	OLE	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'OLE'9	There was a problem creating the object	Constant	Expression	OLE	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'1	Access error	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'10	field values must be a name-value matrix	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'100	a private function cannot be defined in an interface	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'101	:Include can only be used in a class definition	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'102	diamonds are not permitted in this expression	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'103	this name or class is not permitted here	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'104	a dfn cannot be declared within dels	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'105	recursive class definition detected	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'106	too many Implements keywords detected	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'107	this function needs to take an argument	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'108	:Access is not permitted in this function	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'109	unbalanced quotes detected	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'11	a type must be specified	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'110	interface method has not been implemented	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'111	the included function has an invalid :Signature statement	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'112	the included function has an invalid :Implements statement	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'113	the line is too long	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'114	override or overridable is not permitted in a shared function	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'115	fix was cancelled by user	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'116	cannot read required file	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'117	:Require not permitted at this location	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'118	name already has a value, and cannot be overwritten by :Require	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'119	assignment is not permitted in a :Required file	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'12	invalid character	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'120	assignment is not permitted outside of a :Class or :Namespace	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'121	unnamed namespaces are not permitted when fixing multiple objects	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'122	cannot terminate this definition with :EndSection	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'123	Class was not successfully fixed	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'124	Base class has not been resolved	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'125	Include has not been resolved	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'126	Invalid :Using expression	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'13	invalid statement for return type	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'14	return type not specified	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'15	bad access type	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'16	bad implements type	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'17	invalid property name[s]	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'18	base class is not a class	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'19	base class is sealed	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'2	There were errors processing the script	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'20	: base expected	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'21	conflicting attributes given	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'22	invalid trigger target name[s]	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'23	declared interface member not found. Either the member does not exist or the function syntax is incompatible	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'24	no acceptable method to override. Either the method does not exist or the function syntax is incompatible	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'25	:Returns is no longer supported. Use :Signature instead	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'26	:ParameterList is no longer supported. Use :Signature instead	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'27	invalid name list	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'28	cannot find type	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'29	invalid interface name	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'3	No matching constructor	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'30	invalid base class or interface declaration	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'31	only interfaces can be declared after the base class	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'32	recursive class definitions not permitted	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'33	invalid GUI base class specified	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'34	duplicate access statements not permitted	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'35	duplicate implements statements not permitted	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'36	unexpected access statement encountered	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'37	unrecognised keyword encountered	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'38	statement not permitted in an interface	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'39	name already has a value	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'4	attribute target must be ended with ">"	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'40	could not fix function	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'41	implementation in an interface is not allowed	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'42	function not terminated	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'43	error initializing field	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'44	a field must have a name	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'45	only initializer available after field name	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'46	an event must have a name	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'47	invalid property function header	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'48	invalid or empty property declaration	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'49	property not terminated	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'5	attribute target must be named	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'50	duplicate property type specified	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'51	contradictory property type specified	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'52	unrecognized property type	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'53	a property must have a name	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'54	filename must be enclosed in double quotes	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'55	unrecognised pragma	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'56	line pragma must include line number	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'57	line end pragma must include line count	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'58	filename not given in line pragma	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'59	include target can only be a namespace	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'6	invalid sub-target for attribute	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'60	include overwrites existing name.	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'61	no include target specified	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'62	statement not expected at this location	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'63	:Using or :Access must appear before all other statements in a class definition	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'64	statements are not permitted outside of a definition	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'65	item not permitted in an interface	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'66	this function cannot return a result	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'67	this function cannot take a left argument	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'68	this function cannot take an argument	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'69	a destructor cannot be public	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'7	attribute Type must be specified	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'70	a constructor cannot be private	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'71	a constructor cannot be shared	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'72	a destructor cannot be shared	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'73	public operators are not permitted	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'74	cannot terminate this definition with :EndNamespace	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'75	cannot terminate this definition with :EndClass	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'76	cannot terminate this definition with :EndInterface	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'77	cannot terminate this definition with :End	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'78	incomplete :Property declaration	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'79	only a Class can contain a field	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'8	error executing line	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'80	bad value for a field	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'81	:Access types can only be specified once	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'82	invalid :Access for a class	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'83	namespace, class, or interface not terminated	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'84	mismatched dels in definition	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'85	further statements not permitted	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'86	all line pragmas must refer to the same file	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'87	incomplete line pragma	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'88	an empty field initializer was encountered	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'89	a nested class cannot be unnamed	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'9	error retrieving field values	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'90	there must be white space between : and class name	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'91	invalid array specification	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'92	a namespace is not permitted at this location	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'93	a private class cannot be used in a signature	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'94	specified interface is not implemented	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'95	a property then implements an interface property can only define one property	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'96	a default property can only implement one named property	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'97	this property type should not implement a "shape" function	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'98	this property type must implement a "shape" function	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Object oriented programming'99	a function implementing an interface member cannot be private	Constant	Expression	Object oriented programming	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Profiling'1	Cannot change timer without first clearing collected data	Constant	Expression	Profiling	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Profiling'2	No timer in use	Constant	Expression	Profiling	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'RIDE'1	Disabled in this environment	Constant	Expression	RIDE	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Random Number Generation'1	Right argument must be a name and a shape. Example: 'Beta' (3 15)	Constant	Expression	Random Number Generation	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Random Number Generation'10	Left argument for the Cauchy distribution is a location value followed by a non-zero scale value	Constant	Expression	Random Number Generation	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Random Number Generation'11	Left argument for the Chi Squared distribution is a non-negative degree of freedom number	Constant	Expression	Random Number Generation	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Random Number Generation'12	Left argument for the Exponential distribution is a non-negative rate number	Constant	Expression	Random Number Generation	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Random Number Generation'13	Left argument for the F distribution is two positive numbers larger than epsilon	Constant	Expression	Random Number Generation	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Random Number Generation'14	Left argument for the Gamma distribution is two non-negative numbers	Constant	Expression	Random Number Generation	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Random Number Generation'15	Left argument for the Inverse Gamma distribution is two non-negative numbers	Constant	Expression	Random Number Generation	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Random Number Generation'16	Left argument for the Laplace distribution is a location value followed by a non-negative scale value	Constant	Expression	Random Number Generation	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Random Number Generation'17	Left argument for the Logistic distribution is a location value followed by a non-negative scale value	Constant	Expression	Random Number Generation	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Random Number Generation'18	Left argument for the Log Normal distribution is a location value followed by a non-negative scale value	Constant	Expression	Random Number Generation	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Random Number Generation'19	Left argument for the Normal distribution is a location value followed by a non-negative scale value	Constant	Expression	Random Number Generation	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Random Number Generation'2	Supplied name is not a supported distribution	Constant	Expression	Random Number Generation	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Random Number Generation'20	Left argument for the Poisson distribution is a non-negative rate value	Constant	Expression	Random Number Generation	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Random Number Generation'21	Left argument for the Student T distribution is a positive degree-of-freedom value greater than epsilon	Constant	Expression	Random Number Generation	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Random Number Generation'22	Left argument for the Weibull distribution is two positive numbers greater than epsilon	Constant	Expression	Random Number Generation	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Random Number Generation'3	Distribution name must be a character vector	Constant	Expression	Random Number Generation	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Random Number Generation'4	Distribution is not yet implemented	Constant	Expression	Random Number Generation	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Random Number Generation'5	Left argument for the Beta distribution must be two numbers	Constant	Expression	Random Number Generation	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Random Number Generation'6	Parameters for the Beta distribution must be positive numbers	Constant	Expression	Random Number Generation	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Random Number Generation'7	Left argument must be numeric interval. Example: 1.0 7.6	Constant	Expression	Random Number Generation	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Random Number Generation'8	The parameter for the Bernoulli distribution is a probablity value between 0 and 1	Constant	Expression	Random Number Generation	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Random Number Generation'9	Left argument for the Binomial distribution is the number of trials and a probability value	Constant	Expression	Random Number Generation	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'1	Invalid escape sequence in transformation string	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'10	Text too long	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'11	Input stream not tied	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'12	Output stream not tied	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'13	Input stream error	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'14	Output array cannot be written to a stream	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'15	Invalid regular expression format	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'16	Invalid transformation format	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'17	Invalid output destination	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'18	Invalid input source	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'19	Execution cannot resume because the version of the PCRE library has changed	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'2	Regular expression needed	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'20	Unicode to UTF-8 translation error	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'21	UTF-8 to Unicode translation error	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'22	Output stream translation error	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'24	Unterminated sequence in transformation string	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'25	Subpattern reference out of range in transformation string	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'26	Invalid numeric in transformation string	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'27	Name expected between '<' and '>' in transformation string	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'28	Invalid subpattern name in transformation string	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'29	Invalid character in input stream	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'3	Regular expression optimisation	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'30	Too many regular expressions	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'31	Too many blocks	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'32	Too many subpatterns	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'33	Transformation function should return a value	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'34	Transformation function should return a character vector	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'35	Cannot optimise pattern	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'36	Invalid option value	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'37	Invalid hexadecimal codepoint	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'38	Invalid pattern	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'39	Regex support is not implemented on this platform	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'4	Invalid option value	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'5	Option only allowed with search	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'6	Option only allowed with replace	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'7	Option not allowed in line mode	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'8	PCRE library fatal error	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Search Replace'9	Invalid subpattern name	Constant	Expression	Search Replace	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Source Code Files'1	The file could not be opened	Constant	Expression	Source Code Files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Source Code Files'2	The file could not be opened for writing	Constant	Expression	Source Code Files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Source Code Files'3	An error occurred writing to the file	Constant	Expression	Source Code Files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Source Code Files'4	Only text can be written to a file	Constant	Expression	Source Code Files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Source Code Files'5	The prefix "file://" was expected	Constant	Expression	Source Code Files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Source Code Files'6	The type of code could not be inferred	Constant	Expression	Source Code Files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Source Code Files'7	The content of the file has changed since the object was fixed	Constant	Expression	Source Code Files	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Word expansion'1	Left argument is not NOCMD or SHOWERR or UNDEF	Constant	Expression	Word expansion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Word expansion'2	Left argument has more than 1 numeric	Constant	Expression	Word expansion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Word expansion'3	Left argument numeric value has more than 1 element	Constant	Expression	Word expansion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Word expansion'4	Left argument contains non simple array	Constant	Expression	Word expansion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Word expansion'5	Number of result elements not as requested	Constant	Expression	Word expansion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Word expansion'6	Unexpected failure to convert argument to or from UTF-8	Constant	Expression	Word expansion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Word expansion'7	Word expansion failed	Constant	Expression	Word expansion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Word expansion'8	Right argument not character	Constant	Expression	Word expansion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Word expansion'9	Element of right argument not vector	Constant	Expression	Word expansion	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
(⎕NEW⊂'Clipboard').Text	Get text from Windows clipboard	Constant			System	paste retrieve obtain contents string		
⊢2⎕NQ#'GetEnvironment' 'DYALOG'	Install directory	Constant	Expression		System	query installation folder location dyalog.executables binaries		
)SI {n} {-tid=tdno}	Display (first n /last if n<0 lines of) state indicator (for tdno)	Non-syntax			System Command	stack ⎕si ⎕xsi 1st		https://help.dyalog.com/latest/#Language/System%20Commands/si.htm
)SINL {n} {-tid=tdno}	Display (first n /last if n<0 lines of) state indicator (for thread tdno) with local names	Non-syntax			System Command	stack list locals ⎕state vector 1st		https://help.dyalog.com/latest/#Language/System%20Commands/sinl.htm
:Require file://[path]<file>	Load other source files prior to this one	Syntax	Control	Keyword	Expression	script libriry libraries dependency dependencies dictate order fetch open		https://help.dyalog.com/latest/#Language/Object%20Oriented%20Programming/Including%20Script%20Files.htm
⎕DMX.(Category ENX)≡'Date/Time functions'1	Unable to read system clock	Constant	Expression	Date/Time functions	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Date/Time functions'10	Invalid character in format string	Constant	Expression	Date/Time functions	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Date/Time functions'11	Invalid language declaration in format string	Constant	Expression	Date/Time functions	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Date/Time functions'12	Invalid predefined pattern declaration in format string	Constant	Expression	Date/Time functions	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Date/Time functions'13	Predefined pattern declarations must not be nested	Constant	Expression	Date/Time functions	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Date/Time functions'14	Unknown language	Constant	Expression	Date/Time functions	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Date/Time functions'15	Unterminated string in format string	Constant	Expression	Date/Time functions	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Date/Time functions'16	'Dictionary' option value is not a namespace	Constant	Expression	Date/Time functions	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Date/Time functions'17	'Language' option value is invalid	Constant	Expression	Date/Time functions	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Date/Time functions'18	Member in the dictionary is not a namespace	Constant	Expression	Date/Time functions	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Date/Time functions'19	Not defined in the dictionary	Constant	Expression	Date/Time functions	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Date/Time functions'2	Invalid date-time	Constant	Expression	Date/Time functions	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Date/Time functions'20	Member in the dictionary is malformed	Constant	Expression	Date/Time functions	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Date/Time functions'3	Invalid input date-time type specification	Constant	Expression	Date/Time functions	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Date/Time functions'4	Invalid output date-time type specification	Constant	Expression	Date/Time functions	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Date/Time functions'5	Date-times which have year, month and day components or are formatted must be between 1 January 0001 and 28 February 4000 in the proleptic Gregorian calendar	Constant	Expression	Date/Time functions	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Date/Time functions'6	Date-times must not be before 24 November -4714 in the Proleptic Gregorian Calendar	Constant	Expression	Date/Time functions	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Date/Time functions'7	Time number type does not allow negative values	Constant	Expression	Date/Time functions	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Date/Time functions'8	Invalid format string	Constant	Expression	Date/Time functions	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'Date/Time functions'9	Invalid substitution format string	Constant	Expression	Date/Time functions	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'.NET interface'1	Only IDispatch can be obtained from a .NET object	Constant	Expression	.NET interface	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'.NET interface'2	A .NET exception has occurred. Check ⎕EXCEPTION for details	Constant	Expression	.NET interface	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'.NET interface'3	The .NET framework does not provide a function for this operation	Constant	Expression	.NET interface	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'.NET interface'4	There are no constructors available for the specified type	Constant	Expression	.NET interface	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'.NET interface'5	Can't fork with active bridge	Constant	Expression	.NET interface	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
⎕DMX.(Category ENX)≡'.NET interface'6	Array must be a namespace reference or nested array	Constant	Expression	.NET interface	Error Message	diagnosticmessageextended ⎕DMX.Message ⎕DMX.ENX ⎕DMX.Category		
'R'∊4⊃#⎕WG'APLVersion'	Is interpreter a runtime?	Constant			System	development dllrt? packaged? bundled? executable	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExTUg9QfdXSZPOpqVgaKhLurOwb4hKUWFWfm56n//w8A	
⍞↓⍨≢⍞←'What? '	Prompt and response on same line	Syntax			Expression	input	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtEx71znvUNvlR74pHnYvA7Anq4RmJJfYK6v//l2RkFgMA	
:Signature <rslttype←><name><arg1type arg1name>,…	Identify name and signature by which this function is exported as a method	Syntax	Control	Keyword	Expression	declaration declare oo objectorientation .NET assembly types		https://help.dyalog.com/latest/#Language/Control%20Structures/signature.htm
(⊃÷100÷⊢/)⎕WG'DevCaps'	Current real screen resolution before scaling	Expression			System	px		
'-64'~⍨⊃#⎕WG'APLVersion'	Report Operating System	Constant			System	OS platform host	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtE9R1zUzU6x71rnjU1awMFAp3V3cM8AlLLSrOzM9T//8fAA	
32×1+'4'∊⊃#⎕WG'APLVersion'	Report Interpreter bit-width	Constant			System	bit-length bitlength bitwidth architecture amd64 x86-64 x64 x86_64 32-bit 64-bit 32b 64b IA-32 Intel 64	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtExSMjQ5PN9RWN1F/1NH1qKtZGSgc7q7uGOATllpUnJmfp/7/PwA	
'%ISO%'(1200⌶)1⎕DT'J'	Current ISO timestamp	Constant			Data Conversion	SS-ISO8601:2006-09 ISO-8601:2006-09 PN-90/N-01204 GB/T 7408-2005 KS NP EN 28601 CAN/CSA-Z234.4-89 (R2007) DS/ISO-8601:2005 LST datetime date-time string		
(⎕NS⍬).(_←enableSALT⊣⎕CY'salt')	Enable SALT when not in session file	Expression			System	start ucmds usercommands ]	https://tio.run/##SyzI0U2pTMzJT///X@NR31S/4Ee9azT1NOIftU1IzUtMykkNdvQJedS1GCjnHKlenJhToq75/39sSmZxQU5ipcKj3s5HvavUHQN81AE	
{(⍎⍵⎕NS⍬).⎕CY ⍵}'dfns'	Import dfns workspace into a namespace called dfns so dfn can be called using dfns.name	Expression			System	load fetch get include from dfns.dws	https://tio.run/##SyzI0U2pTMzJT/8PBNUaj3r7HvVufdQ31S/4Ue8aTT0gyzlSAShUq56SlleszgUi9ZITcxQMLc3MFAwNAQ	
({⍵⊣⍵.⎕CY'dfns'}⎕NS⍬).name	Call function “name” from the dfns workspace without polluting the current workspace	Syntax			System	dfns.dws	https://tio.run/##SyzI0U2pTMzJT////1Hf1EdtEzSqH/VufdS1GEjqAUWcI9VT0vKK1WuBbL/gR71rNPWSE3MUDC3NzBQMDf//BwA	
1⌽,⍨9⍴'''1⌽,⍨9⍴'''	An expression giving itself	Constant			Text	quine string	https://tio.run/##SyzI0U2pTMzJT/8PBIaPevbqPOpdYfmod4u6ujoaFwA	
{2⎕NQ#'DeleteTypeLib'⍵}∘⊃¨2⎕NQ#'ListTypeLibs'	Delete all loaded TypeLibs	Expression		.NET interface	System	deletion deleting removal removing remove unloading COMserver COMobjects COMlibraries		
Is{3⊃⊃¯1⎕DT ¯1+1⎕DT⊂1+0 12⊤1+12⊥⍺,⍵-1}Js	Number of days in month Js of year Is	Constant			System	calendar length this		
(⎕D,⎕A~'ILOU')[(1+(10⍴32)⊤12⎕DT'Z'),?16⍴32]	Generate random ULID	Expression			Text	Universally Unique Lexicographically Sortable Identifier generation generating randomised randomized string		
⎕SE.(⍎⊃2⎕FIX'/StartupSession.aplf',⍨2⎕NQ#'GetEnvironment' 'DYALOG')	Initialise session (Dyalog.Utils, Link, SALT, user commands, etc.) in runtime or shell script	Expression			System	start ucmds usercommands ] dyalogrt dyalogscript dyascript ]link initialize		
⍎⊖⍕⊃⊂|⌊-*+○⌈×÷!⌽⍉⌹~⍴⍋⍒,⍟?⍳0	Meaning of life (traditional)	Constant			Expression	hitchhiker'sguidetothegalaxy hitchhikersguidetothegalaxy Deep Thought 42 HG2G HHGTTG H2G2 tHGttG the Answer to the Ultimate Question Life, the Universe, and Everything FinnAPL	https://tio.run/##AVEArv9hcGwtZHlhbG9n///ijpXihpDijY7iipbijZXiioPiioJ84oyKLSor4peL4oyIw5fDtyHijL3ijYnijLl@4o204o2L4o2SLOKNnz/ijbMw//8	
'-'@(4+5×⍳4)⊢(⎕D,⎕C⎕A)[4(9+|)@20⊢5@15?36⍴16]	Generate random UUIDv4	Expression			Text	GUID version-4 universally globally unique identifier generation generating randomised randomized string		
{⎕IO←0 ⋄ (,~⊃)'  ----  ',8 4⍴(⎕D,⎕C⎕A)[((12⍴16)⊤12⎕DT'Z'),7,4(8+|)@3?19⍴16]}	Generate random UUIDv7	Expression			Text	GUID version-7 universally globally unique identifier generation generating randomised randomized string		
⎕SIGNAL⊂⎕DMX.(('EN'EN)('EM'EM)('Message'(OSError{⍵,2⌽(×≢⊃⍬⍴2⌽⍺,⊂'')/'") ("',⊃⍬⍴2⌽⍺}Message)))	Re-signal last caught error to caller (works with any ⎕IO and ⎕ML)	Constant	Expression		Error Message	emulate re-throwing rethrowing re-raising reraising resignalling trapped	https://tio.run/##SyzI0U2pTMzJT///qG9qSJBjgP6j3hWP2iYYKCg86p2rkJyTmlikEOLpr16skFpUlF@kUFKUWFCQmZf@////Rx3tCm75@QppmTmpXAoKViFAKQUDIAsEgMb5ubuGwCVdc4pTEVLBnu5@jj6PupqAbBffCD0NDXVXPyDSBNK@QASkfVOLixPTU9U1/INdQTZXP@rdqmP0qGevxuHpjzoXPepqftS75lHvFpDQo95dOkDD1NU19dWVNBU0lNR10OVroeZpamqCnZOXAnIuF9APXEA/qOfll@hmpBal6pVUlKgDAA	
⎕DMX.(OSError{⍵,2⌽(×≢⊃⍬⍴2⌽⍺,⊂'')/'") ("',⊃⍬⍴2⌽⊆⍺}Message{⍵,⍺,⍨': '/⍨×≢⍺}⊃⍬⍴DM,⊂'')	Construct first line of printed error message (works with any ⎕IO and ⎕ML)	Constant	Expression		Error Message	extract fetch get 1st	https://tio.run/##SyzI0U2pTMzJT////1FHu0Jucfqjtglu@fkKaZk5qVwKClYhRYkFCgZAFgg86pvq5@4aApd0zSlOhUpBdAIVuPhG6Gn4B7sWFeUXVT/q3apj9Khnr8bh6Y86Fz3qan7Uu@ZR7xaQ0KPeXTqPuprU1TX11ZU0FTSU1HWMwQp21fqmFhcnpqeCdYOV9a5Qt1JQ1wfSEHOAauBmufhCjQE7KC8F5GAuoF@4gG6B@kU9L79ENyO1KFWvpKJE/f9/AA