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[Feature Request]请问是否能加入对于KaTeX中加中英文间空隙的支持? #96

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ChasingZenith opened this issue Nov 16, 2022 · 4 comments

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@ChasingZenith
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现在非常神奇的对于某些KaTeX公式也能支持,但是对于复杂的就不行。

而且其实我注意到现在的 heti-space 会放到KaTeX元素的内部,这可能会带来公式渲染的一些问题比如$xyz\text{下}\sum_{i=1}^{n} s_i$
是否有方法改进或者有方法在 KaTeX 中屏蔽?

示例

公式前$x\sum_{i=1}^{n} s_i$后 (此例没有空格)
公式前$x$后 (此例电脑chome正常,但在ipad上浏览器打开不正常,x前的空格更大)

$\underset{\text{价格为}s\text{时最优生产方案下的净利润}}{f^{*}(s)} = \sup_{x \in E } { \underbrace{\left< s,x \right>}{总销售额} - \underbrace{f(x)}{\text{生产}x\text{时的生产成本}}} $ (此例电脑chome正常,但在ipad上浏览器打开不正常,x前的空格更大)

公式前$xyz\text{中}\sum_{i=1}^{n} s_i$后 (此例x后多出一个空格)

使用前

Screenshot_20221116_101625
Screenshot_20221116_103300
Screenshot_20221116_104303

使用后

Screenshot_20221116_100826

Screenshot_20221116_102937

Screenshot_20221116_104148

@ChasingZenith
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html源码

使用前

<p>公式前<span><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>x</mi><msubsup><mo></mo><mrow><mi>i</mi><mo>=</mo><mn>1</mn></mrow><mi>n</mi></msubsup><msub><mi>s</mi><mi>i</mi></msub></mrow><annotation encoding="application/x-tex">x\sum_{i=1}^{n} s_i</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height: 1.104em; vertical-align: -0.2997em;"></span><span class="mord mathnormal">x</span><span class="mspace" style="margin-right: 0.1667em;"></span><span class="mop"><span class="mop op-symbol small-op" style="position: relative; top: 0em;"></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8043em;"><span class="" style="top: -2.4003em; margin-left: 0em; margin-right: 0.05em;"><span class="pstrut" style="height: 2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathnormal mtight">i</span><span class="mrel mtight">=</span><span class="mord mtight">1</span></span></span></span><span class="" style="top: -3.2029em; margin-right: 0.05em;"><span class="pstrut" style="height: 2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathnormal mtight">n</span></span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.2997em;"><span class=""></span></span></span></span></span></span><span class="mspace" style="margin-right: 0.1667em;"></span><span class="mord"><span class="mord mathnormal">s</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.3117em;"><span class="" style="top: -2.55em; margin-left: 0em; margin-right: 0.05em;"><span class="pstrut" style="height: 2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathnormal mtight">i</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.15em;"><span class=""></span></span></span></span></span></span></span></span></span></span></p>
<p>公式前<span><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>x</mi></mrow><annotation encoding="application/x-tex">x</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height: 0.4306em;"></span><span class="mord mathnormal">x</span></span></span></span></span></p>
<span><span class="katex-display"><span class="katex"><span class="katex-mathml"><span class="MathJax_Preview" style="color: inherit;"></span><span class="mjx-chtml MJXc-display" style="text-align: center;"><span id="MathJax-Element-3-Frame" class="mjx-chtml MathJax_CHTML" tabindex="0" data-mathml="<math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot; display=&quot;block&quot;><semantics><mrow><mi><munder><mo><msup><mi>f</mi><mo lspace=&quot;0em&quot; rspace=&quot;0em&quot;>&amp;#x2217;</mo></msup><mo stretchy=&quot;false&quot;>(</mo><mi>s</mi><mo stretchy=&quot;false&quot;>)</mo></mo><mrow><mtext>&amp;#x4EF7;&amp;#x683C;&amp;#x4E3A;</mtext><mi>s</mi><mtext>&amp;#x65F6;&amp;#x6700;&amp;#x4F18;&amp;#x751F;&amp;#x4EA7;&amp;#x65B9;&amp;#x6848;&amp;#x4E0B;&amp;#x7684;&amp;#x51C0;&amp;#x5229;&amp;#x6DA6;</mtext></mrow></munder></mi><mo>=</mo><munder><mrow><mi>sup</mi><mo>&amp;#x2061;</mo></mrow><mrow><mi>x</mi><mo>&amp;#x2208;</mo><mi>E</mi></mrow></munder><mo stretchy=&quot;false&quot;>{</mo><munder><munder><mrow><mo fence=&quot;true&quot;>&amp;lt;</mo><mi>s</mi><mo separator=&quot;true&quot;>,</mo><mi>x</mi><mo fence=&quot;true&quot;>&amp;gt;</mo></mrow><mo stretchy=&quot;true&quot;>&amp;#x23DF;</mo></munder><mtext>&amp;#x603B;&amp;#x9500;&amp;#x552E;&amp;#x989D;</mtext></munder><mo>&amp;#x2212;</mo><munder><munder><mrow><mi>f</mi><mo stretchy=&quot;false&quot;>(</mo><mi>x</mi><mo stretchy=&quot;false&quot;>)</mo></mrow><mo stretchy=&quot;true&quot;>&amp;#x23DF;</mo></munder><mrow><mtext>&amp;#x751F;&amp;#x4EA7;</mtext><mi>x</mi><mtext>&amp;#x65F6;&amp;#x7684;&amp;#x751F;&amp;#x4EA7;&amp;#x6210;&amp;#x672C;</mtext></mrow></munder><mo stretchy=&quot;false&quot;>}</mo></mrow><annotation encoding=&quot;application/x-tex&quot;>      \underset{\text{&amp;#x4EF7;&amp;#x683C;&amp;#x4E3A;}s\text{&amp;#x65F6;&amp;#x6700;&amp;#x4F18;&amp;#x751F;&amp;#x4EA7;&amp;#x65B9;&amp;#x6848;&amp;#x4E0B;&amp;#x7684;&amp;#x51C0;&amp;#x5229;&amp;#x6DA6;}}{f^{*}(s)} = \sup_{x \in E } \{ \underbrace{\left&amp;lt; s,x \right&amp;gt;}_{&amp;#x603B;&amp;#x9500;&amp;#x552E;&amp;#x989D;} - \underbrace{f(x)}_{\text{&amp;#x751F;&amp;#x4EA7;}x\text{&amp;#x65F6;&amp;#x7684;&amp;#x751F;&amp;#x4EA7;&amp;#x6210;&amp;#x672C;}}\} </annotation></semantics></math>" role="presentation" style="text-align: center; position: relative;"><span id="MJXc-Node-11" class="mjx-math" aria-hidden="true"><span id="MJXc-Node-12" class="mjx-mrow"><span id="MJXc-Node-13" class="mjx-semantics"><span id="MJXc-Node-14" class="mjx-mrow"><span id="MJXc-Node-15" class="mjx-mi"><span id="MJXc-Node-16" class="mjx-munder"><span class="mjx-itable"><span class="mjx-row"><span class="mjx-cell"><span class="mjx-op" style="padding-left: 4.342em;"><span id="MJXc-Node-17" class="mjx-mo"><span id="MJXc-Node-18" class="mjx-msup"><span class="mjx-base" style="margin-right: -0.06em;"><span id="MJXc-Node-19" class="mjx-mi"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.474em; padding-bottom: 0.474em; padding-right: 0.06em;">f</span></span></span><span class="mjx-sup" style="font-size: 70.7%; vertical-align: 0.584em; padding-left: 0.181em; padding-right: 0.071em;"><span id="MJXc-Node-20" class="mjx-mo" style=""><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.179em; padding-bottom: 0.297em;"></span></span></span></span><span id="MJXc-Node-21" class="mjx-mo"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.474em; padding-bottom: 0.591em;">(</span></span><span id="MJXc-Node-22" class="mjx-mi"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.238em; padding-bottom: 0.297em;">s</span></span><span id="MJXc-Node-23" class="mjx-mo"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.474em; padding-bottom: 0.591em;">)</span></span></span></span></span></span><span class="mjx-row"><span class="mjx-under" style="font-size: 70.7%; padding-top: 0.236em; padding-bottom: 0.141em;"><span id="MJXc-Node-24" class="mjx-mrow" style=""><span id="MJXc-Node-25" class="mjx-mtext"><span class="mjx-char" style="padding-top: 0.415em; padding-bottom: 0.238em;"><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.412em; width: 1em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.412em; width: 1em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.412em; width: 1em;"></span></span></span><span id="MJXc-Node-26" class="mjx-mi"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.238em; padding-bottom: 0.297em;">s</span></span><span id="MJXc-Node-27" class="mjx-mtext"><span class="mjx-char" style="padding-top: 0.415em; padding-bottom: 0.238em;"><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.412em; width: 1em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.412em; width: 1em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.412em; width: 1em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.412em; width: 1em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.412em; width: 1em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.412em; width: 1em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.412em; width: 1em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.412em; width: 1em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.412em; width: 1em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.412em; width: 1em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.412em; width: 1em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.412em; width: 1em;"></span></span></span></span></span></span></span></span></span><span id="MJXc-Node-28" class="mjx-mo MJXc-space3"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.062em; padding-bottom: 0.297em;">=</span></span><span id="MJXc-Node-29" class="mjx-munder MJXc-space3"><span class="mjx-itable"><span class="mjx-row"><span class="mjx-cell"><span class="mjx-op"><span id="MJXc-Node-30" class="mjx-mrow"><span id="MJXc-Node-31" class="mjx-mi"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.179em; padding-bottom: 0.532em;">sup</span></span><span id="MJXc-Node-32" class="mjx-mo"><span class="mjx-char"></span></span></span></span></span></span><span class="mjx-row"><span class="mjx-under" style="font-size: 70.7%; padding-top: 0.236em; padding-bottom: 0.141em; padding-left: 0.063em;"><span id="MJXc-Node-33" class="mjx-mrow" style=""><span id="MJXc-Node-34" class="mjx-mi"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.238em; padding-bottom: 0.297em;">x</span></span><span id="MJXc-Node-35" class="mjx-mo"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.238em; padding-bottom: 0.356em;"></span></span><span id="MJXc-Node-36" class="mjx-mi"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.474em; padding-bottom: 0.297em; padding-right: 0.026em;">E</span></span></span></span></span></span></span><span id="MJXc-Node-37" class="mjx-mo"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.474em; padding-bottom: 0.591em;">{</span></span><span id="MJXc-Node-38" class="mjx-munder"><span class="mjx-itable"><span class="mjx-row"><span class="mjx-cell"><span class="mjx-op"><span id="MJXc-Node-39" class="mjx-munder"><span class="mjx-itable"><span class="mjx-row"><span class="mjx-cell"><span class="mjx-op"><span id="MJXc-Node-40" class="mjx-mrow"><span id="MJXc-Node-41" class="mjx-mo"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.238em; padding-bottom: 0.356em;">&lt;</span></span><span id="MJXc-Node-42" class="mjx-mi"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.238em; padding-bottom: 0.297em;">s</span></span><span id="MJXc-Node-43" class="mjx-mo"><span class="mjx-char MJXc-TeX-main-R" style="margin-top: -0.174em; padding-bottom: 0.532em;">,</span></span><span id="MJXc-Node-44" class="mjx-mi MJXc-space1"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.238em; padding-bottom: 0.297em;">x</span></span><span id="MJXc-Node-45" class="mjx-mo"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.238em; padding-bottom: 0.356em;">&gt;</span></span></span></span></span></span><span class="mjx-row"><span class="mjx-under" style="padding-top: 0.12em;"><span id="MJXc-Node-46" class="mjx-mo"><span class="mjx-delim-h"><span class="mjx-char MJXc-TeX-size4-R" style="padding-top: 0.108em; padding-bottom: 0.488em; margin: 0px 0.01em 0px 0.024em;"></span><span class="mjx-char MJXc-TeX-size4-R" style="padding-top: 0.108em; padding-bottom: 0.488em; margin: 0px 0.101em 0px -0.081em; letter-spacing: -0.112em;"></span><span class="mjx-char MJXc-TeX-size4-R" style="margin-top: 0px; padding-bottom: 0.488em; margin-right: 0.01em; padding-top: 0.108em; margin-bottom: 0px;"></span><span class="mjx-char MJXc-TeX-size4-R" style="padding-top: 0.108em; padding-bottom: 0.488em; margin: 0px 0.101em 0px -0.081em; letter-spacing: -0.112em;"></span><span class="mjx-char MJXc-TeX-size4-R" style="padding-top: 0.108em; padding-bottom: 0.488em; margin-right: 0.024em; margin-bottom: 0px; margin-top: 0px;"></span></span></span></span></span></span></span></span></span></span><span class="mjx-row"><span class="mjx-under" style="font-size: 70.7%; padding-top: 0.236em; padding-bottom: 0.141em; padding-left: 0.151em;"><span id="MJXc-Node-47" class="mjx-mtext" style=""><span class="mjx-char" style="padding-top: 0.415em; padding-bottom: 0.238em;"><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.412em; width: 1em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.412em; width: 1em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.412em; width: 1em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.412em; width: 1em;"></span></span></span></span></span></span></span><span id="MJXc-Node-48" class="mjx-mo MJXc-space2"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.297em; padding-bottom: 0.415em;"></span></span><span id="MJXc-Node-49" class="mjx-munder MJXc-space2"><span class="mjx-itable"><span class="mjx-row"><span class="mjx-cell"><span class="mjx-op" style="padding-left: 2.081em;"><span id="MJXc-Node-50" class="mjx-munder"><span class="mjx-itable"><span class="mjx-row"><span class="mjx-cell"><span class="mjx-op"><span id="MJXc-Node-51" class="mjx-mrow"><span id="MJXc-Node-52" class="mjx-mi"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.474em; padding-bottom: 0.474em; padding-right: 0.06em;">f</span></span><span id="MJXc-Node-53" class="mjx-mo"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.474em; padding-bottom: 0.591em;">(</span></span><span id="MJXc-Node-54" class="mjx-mi"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.238em; padding-bottom: 0.297em;">x</span></span><span id="MJXc-Node-55" class="mjx-mo"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.474em; padding-bottom: 0.591em;">)</span></span></span></span></span></span><span class="mjx-row"><span class="mjx-under" style="padding-top: 0.12em;"><span id="MJXc-Node-56" class="mjx-mo"><span class="mjx-delim-h"><span class="mjx-char MJXc-TeX-size4-R" style="padding-top: 0.108em; padding-bottom: 0.488em; margin: 0px 0.01em 0px 0.024em;"></span><span class="mjx-char MJXc-TeX-size4-R" style="padding-top: 0.108em; padding-bottom: 0.488em; margin: 0px 0.242em 0px -0.222em; letter-spacing: -0.394em;"></span><span class="mjx-char MJXc-TeX-size4-R" style="margin-top: 0px; padding-bottom: 0.488em; margin-right: 0.01em; padding-top: 0.108em; margin-bottom: 0px;"></span><span class="mjx-char MJXc-TeX-size4-R" style="padding-top: 0.108em; padding-bottom: 0.488em; margin: 0px 0.242em 0px -0.222em; letter-spacing: -0.394em;"></span><span class="mjx-char MJXc-TeX-size4-R" style="padding-top: 0.108em; padding-bottom: 0.488em; margin-right: 0.024em; margin-bottom: 0px; margin-top: 0px;"></span></span></span></span></span></span></span></span></span></span><span class="mjx-row"><span class="mjx-under" style="font-size: 70.7%; padding-top: 0.236em; padding-bottom: 0.141em;"><span id="MJXc-Node-57" class="mjx-mrow" style=""><span id="MJXc-Node-58" class="mjx-mtext"><span class="mjx-char" style="padding-top: 0.415em; padding-bottom: 0.238em;"><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.412em; width: 1em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.412em; width: 1em;"></span></span></span><span id="MJXc-Node-59" class="mjx-mi"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.238em; padding-bottom: 0.297em;">x</span></span><span id="MJXc-Node-60" class="mjx-mtext"><span class="mjx-char" style="padding-top: 0.415em; padding-bottom: 0.238em;"><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.412em; width: 1em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.412em; width: 1em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.412em; width: 1em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.412em; width: 1em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.412em; width: 1em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.412em; width: 1em;"></span></span></span></span></span></span></span></span><span id="MJXc-Node-61" class="mjx-mo"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.474em; padding-bottom: 0.591em;">}</span></span></span></span></span></span><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mi><munder><mo><msup><mi>f</mi><mo lspace="0em" rspace="0em"></mo></msup><mo stretchy="false">(</mo><mi>s</mi><mo stretchy="false">)</mo></mo><mrow><mtext>价格为</mtext><mi>s</mi><mtext>时最优生产方案下的净利润</mtext></mrow></munder></mi><mo>=</mo><munder><mrow><mi>sup</mi><mo></mo></mrow><mrow><mi>x</mi><mo></mo><mi>E</mi></mrow></munder><mo stretchy="false">{</mo><munder><munder><mrow><mo fence="true">&lt;</mo><mi>s</mi><mo separator="true">,</mo><mi>x</mi><mo fence="true">&gt;</mo></mrow><mo stretchy="true"></mo></munder><mtext>总销售额</mtext></munder><mo></mo><munder><munder><mrow><mi>f</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mrow><mo stretchy="true"></mo></munder><mrow><mtext>生产</mtext><mi>x</mi><mtext>时的生产成本</mtext></mrow></munder><mo stretchy="false">}</mo></mrow><annotation encoding="application/x-tex">      \underset{\text{价格为}s\text{时最优生产方案下的净利润}}{f^{*}(s)} = \sup_{x \in E } \{ \underbrace{\left&lt; s,x \right&gt;}_{总销售额} - \underbrace{f(x)}_{\text{生产}x\text{时的生产成本}}\} </annotation></semantics></math></span></span></span><script type="math/mml" id="MathJax-Element-3"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mi><munder><mo><msup><mi>f</mi><mo lspace="0em" rspace="0em"></mo></msup><mo stretchy="false">(</mo><mi>s</mi><mo stretchy="false">)</mo></mo><mrow><mtext>价格为</mtext><mi>s</mi><mtext>时最优生产方案下的净利润</mtext></mrow></munder></mi><mo>=</mo><munder><mrow><mi>sup</mi><mo></mo></mrow><mrow><mi>x</mi><mo></mo><mi>E</mi></mrow></munder><mo stretchy="false">{</mo><munder><munder><mrow><mo fence="true">&lt;</mo><mi>s</mi><mo separator="true">,</mo><mi>x</mi><mo fence="true">&gt;</mo></mrow><mo stretchy="true"></mo></munder><mtext>总销售额</mtext></munder><mo></mo><munder><munder><mrow><mi>f</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mrow><mo stretchy="true"></mo></munder><mrow><mtext>生产</mtext><mi>x</mi><mtext>时的生产成本</mtext></mrow></munder><mo stretchy="false">}</mo></mrow><annotation encoding="application/x-tex">\underset{\text{价格为}s\text{时最优生产方案下的净利润}}{f^{*}(s)} = \sup_{x \in E } \{ \underbrace{\left&lt; s,x \right&gt;}_{总销售额} - \underbrace{f(x)}_{\text{生产}x\text{时的生产成本}}\} </annotation></semantics></math></script></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height: 1.7443em; vertical-align: -0.9943em;"></span><span class="mord"><span class="mop op-limits"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.75em;"><span class="" style="top: -2.1057em; margin-left: 0em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord text mtight"><span class="mord cjk_fallback mtight">价格为</span></span><span class="mord mathnormal mtight">s</span><span class="mord text mtight"><span class="mord cjk_fallback mtight">时最优生产方案下的净利润</span></span></span></span></span><span class="" style="top: -3em;"><span class="pstrut" style="height: 3em;"></span><span class=""><span class="mop"><span class="mord"><span class="mord mathnormal" style="margin-right: 0.1076em;">f</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height: 0.7387em;"><span class="" style="top: -3.113em; margin-right: 0.05em;"><span class="pstrut" style="height: 2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"></span></span></span></span></span></span></span></span></span><span class="mopen">(</span><span class="mord mathnormal">s</span><span class="mclose">)</span></span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.9943em;"><span class=""></span></span></span></span></span></span><span class="mspace" style="margin-right: 0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right: 0.2778em;"></span></span><span class="base"><span class="strut" style="height: 2.3263em; vertical-align: -1.5763em;"></span><span class="mop op-limits"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.4306em;"><span class="" style="top: -2.1612em; margin-left: 0em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathnormal mtight">x</span><span class="mrel mtight"></span><span class="mord mathnormal mtight" style="margin-right: 0.0576em;">E</span></span></span></span><span class="" style="top: -3em;"><span class="pstrut" style="height: 3em;"></span><span class=""><span class="mop">sup</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.9661em;"><span class=""></span></span></span></span></span><span class="mopen">{</span><span class="mord munder"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.75em;"><span class="" style="top: -1.4237em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord cjk_fallback mtight">总销售额</span></span></span></span><span class="" style="top: -3em;"><span class="pstrut" style="height: 3em;"></span><span class="mord munder"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.75em;"><span class="svg-align" style="top: -2.102em;"><span class="pstrut" style="height: 3em;"></span><span class="stretchy" style="height: 0.548em; min-width: 1.6em;"><span class="brace-left" style="height: 0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMinYMin slice"><path d="M0 6l6-6h17c12.688 0 19.313.3 20 1 4 4 7.313 8.3 10 13
 35.313 51.3 80.813 93.8 136.5 127.5 55.688 33.7 117.188 55.8 184.5 66.5.688
 0 2 .3 4 1 18.688 2.7 76 4.3 172 5h399450v120H429l-6-1c-124.688-8-235-61.7
-331-161C60.687 138.7 32.312 99.3 7 54L0 41V6z"></path></svg></span><span class="brace-center" style="height: 0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMidYMin slice"><path d="M199572 214
c100.7 8.3 195.3 44 280 108 55.3 42 101.7 93 139 153l9 14c2.7-4 5.7-8.7 9-14
 53.3-86.7 123.7-153 211-199 66.7-36 137.3-56.3 212-62h199568v120H200432c-178.3
 11.7-311.7 78.3-403 201-6 8-9.7 12-11 12-.7.7-6.7 1-18 1s-17.3-.3-18-1c-1.3 0
-5-4-11-12-44.7-59.3-101.3-106.3-170-141s-145.3-54.3-229-60H0V214z"></path></svg></span><span class="brace-right" style="height: 0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMaxYMin slice"><path d="M399994 0l6 6v35l-6 11c-56 104-135.3 181.3-238 232-57.3
 28.7-117 45-179 50H-300V214h399897c43.3-7 81-15 113-26 100.7-33 179.7-91 237
-174 2.7-5 6-9 10-13 .7-1 7.3-1 20-1h17z"></path></svg></span></span></span><span class="" style="top: -3em;"><span class="pstrut" style="height: 3em;"></span><span class="mord"><span class="minner"><span class="mopen delimcenter" style="top: 0em;"></span><span class="mord mathnormal">s</span><span class="mpunct">,</span><span class="mspace" style="margin-right: 0.1667em;"></span><span class="mord mathnormal">x</span><span class="mclose delimcenter" style="top: 0em;"></span></span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.898em;"><span class=""></span></span></span></span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 1.5763em;"><span class=""></span></span></span></span></span><span class="mspace" style="margin-right: 0.2222em;"></span><span class="mbin"></span><span class="mspace" style="margin-right: 0.2222em;"></span></span><span class="base"><span class="strut" style="height: 2.3263em; vertical-align: -1.5763em;"></span><span class="mord munder"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.75em;"><span class="" style="top: -1.4237em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord text mtight"><span class="mord cjk_fallback mtight">生产</span></span><span class="mord mathnormal mtight">x</span><span class="mord text mtight"><span class="mord cjk_fallback mtight">时的生产成本</span></span></span></span></span><span class="" style="top: -3em;"><span class="pstrut" style="height: 3em;"></span><span class="mord munder"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.75em;"><span class="svg-align" style="top: -2.102em;"><span class="pstrut" style="height: 3em;"></span><span class="stretchy" style="height: 0.548em; min-width: 1.6em;"><span class="brace-left" style="height: 0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMinYMin slice"><path d="M0 6l6-6h17c12.688 0 19.313.3 20 1 4 4 7.313 8.3 10 13
 35.313 51.3 80.813 93.8 136.5 127.5 55.688 33.7 117.188 55.8 184.5 66.5.688
 0 2 .3 4 1 18.688 2.7 76 4.3 172 5h399450v120H429l-6-1c-124.688-8-235-61.7
-331-161C60.687 138.7 32.312 99.3 7 54L0 41V6z"></path></svg></span><span class="brace-center" style="height: 0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMidYMin slice"><path d="M199572 214
c100.7 8.3 195.3 44 280 108 55.3 42 101.7 93 139 153l9 14c2.7-4 5.7-8.7 9-14
 53.3-86.7 123.7-153 211-199 66.7-36 137.3-56.3 212-62h199568v120H200432c-178.3
 11.7-311.7 78.3-403 201-6 8-9.7 12-11 12-.7.7-6.7 1-18 1s-17.3-.3-18-1c-1.3 0
-5-4-11-12-44.7-59.3-101.3-106.3-170-141s-145.3-54.3-229-60H0V214z"></path></svg></span><span class="brace-right" style="height: 0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMaxYMin slice"><path d="M399994 0l6 6v35l-6 11c-56 104-135.3 181.3-238 232-57.3
 28.7-117 45-179 50H-300V214h399897c43.3-7 81-15 113-26 100.7-33 179.7-91 237
-174 2.7-5 6-9 10-13 .7-1 7.3-1 20-1h17z"></path></svg></span></span></span><span class="" style="top: -3em;"><span class="pstrut" style="height: 3em;"></span><span class="mord"><span class="mord mathnormal" style="margin-right: 0.1076em;">f</span><span class="mopen">(</span><span class="mord mathnormal">x</span><span class="mclose">)</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.898em;"><span class=""></span></span></span></span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 1.5763em;"><span class=""></span></span></span></span></span><span class="mclose">}</span></span></span></span></span></span>
<p>公式前<span><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>x</mi><mi>y</mi><mi>z</mi><mtext></mtext><msubsup><mo></mo><mrow><mi>i</mi><mo>=</mo><mn>1</mn></mrow><mi>n</mi></msubsup><msub><mi>s</mi><mi>i</mi></msub></mrow><annotation encoding="application/x-tex">xyz\text{中}\sum_{i=1}^{n} s_i</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height: 1.104em; vertical-align: -0.2997em;"></span><span class="mord mathnormal">x</span><span class="mord mathnormal" style="margin-right: 0.044em;">yz</span><span class="mord text"><span class="mord cjk_fallback"></span></span><span class="mspace" style="margin-right: 0.1667em;"></span><span class="mop"><span class="mop op-symbol small-op" style="position: relative; top: 0em;"></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8043em;"><span class="" style="top: -2.4003em; margin-left: 0em; margin-right: 0.05em;"><span class="pstrut" style="height: 2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathnormal mtight">i</span><span class="mrel mtight">=</span><span class="mord mtight">1</span></span></span></span><span class="" style="top: -3.2029em; margin-right: 0.05em;"><span class="pstrut" style="height: 2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathnormal mtight">n</span></span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.2997em;"><span class=""></span></span></span></span></span></span><span class="mspace" style="margin-right: 0.1667em;"></span><span class="mord"><span class="mord mathnormal">s</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.3117em;"><span class="" style="top: -2.55em; margin-left: 0em; margin-right: 0.05em;"><span class="pstrut" style="height: 2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathnormal mtight">i</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.15em;"><span class=""></span></span></span></span></span></span></span></span></span></span></p>

使用后

<p>公式前<span><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi><heti-spacing class="heti-spacing-end">x</heti-spacing></mi><msubsup><mo></mo><mrow><mi>i</mi><mo>=</mo><mn>1</mn></mrow><mi>n</mi></msubsup><msub><mi>s</mi><mi>i</mi></msub></mrow><annotation encoding="application/x-tex">x\sum_{i=1}^{n} s_i</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height: 1.104em; vertical-align: -0.2997em;"></span><span class="mord mathnormal">x</span><span class="mspace" style="margin-right: 0.1667em;"></span><span class="mop"><span class="mop op-symbol small-op" style="position: relative; top: 0em;"></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8043em;"><span class="" style="top: -2.4003em; margin-left: 0em; margin-right: 0.05em;"><span class="pstrut" style="height: 2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathnormal mtight">i</span><span class="mrel mtight">=</span><span class="mord mtight">1</span></span></span></span><span class="" style="top: -3.2029em; margin-right: 0.05em;"><span class="pstrut" style="height: 2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathnormal mtight">n</span></span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.2997em;"><span class=""></span></span></span></span></span></span><span class="mspace" style="margin-right: 0.1667em;"></span><span class="mord"><span class="mord mathnormal">s</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.3117em;"><span class="" style="top: -2.55em; margin-left: 0em; margin-right: 0.05em;"><span class="pstrut" style="height: 2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathnormal mtight">i</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.15em;"><span class=""></span></span></span></span></span></span></span></span></span></span></p>
<p>公式前<span><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi><heti-spacing class="heti-spacing-start heti-spacing-end">x</heti-spacing></mi></mrow><annotation encoding="application/x-tex"><heti-spacing class="heti-spacing-start heti-spacing-end">x</heti-spacing></annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height: 0.4306em;"></span><span class="mord mathnormal"><heti-spacing class="heti-spacing-start heti-spacing-end">x</heti-spacing></span></span></span></span></span></p>
<span><span class="katex-display"><span class="katex"><span class="katex-mathml"><span class="MathJax_Preview" style="color: inherit;"></span><span class="mjx-chtml MJXc-display" style="text-align: center;"><span id="MathJax-Element-3-Frame" class="mjx-chtml MathJax_CHTML" tabindex="0" style="font-size: 99%; text-align: center; position: relative;" data-mathml="<math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot; display=&quot;block&quot;><semantics><mrow><mi><munder><mo><msup><mi>f</mi><mo lspace=&quot;0em&quot; rspace=&quot;0em&quot;>&amp;#x2217;</mo></msup><mo stretchy=&quot;false&quot;><merror><mtext>Unknown node type: heti-spacing</mtext></merror></mo><mi><merror><mtext>Unknown node type: heti-spacing</mtext></merror></mi><mo stretchy=&quot;false&quot;><merror><mtext>Unknown node type: heti-spacing</mtext></merror></mo></mo><mrow><mtext>&amp;#x4EF7;&amp;#x683C;&amp;#x4E3A;</mtext><mi><merror><mtext>Unknown node type: heti-spacing</mtext></merror></mi><mtext>&amp;#x65F6;&amp;#x6700;&amp;#x4F18;&amp;#x751F;&amp;#x4EA7;&amp;#x65B9;&amp;#x6848;&amp;#x4E0B;&amp;#x7684;&amp;#x51C0;&amp;#x5229;&amp;#x6DA6;</mtext></mrow></munder></mi><mo><merror><mtext>Unknown node type: heti-spacing</mtext></merror></mo><munder><mrow><mi><merror><mtext>Unknown node type: heti-spacing</mtext></merror></mi><mo>&amp;#x2061;</mo></mrow><mrow><mi>x</mi><mo>&amp;#x2208;</mo><mi>E</mi></mrow></munder><mo stretchy=&quot;false&quot;>{</mo><munder><munder><mrow><mo fence=&quot;true&quot;>&amp;lt;</mo><mi>s</mi><mo separator=&quot;true&quot;>,</mo><mi>x</mi><mo fence=&quot;true&quot;>&amp;gt;</mo></mrow><mo stretchy=&quot;true&quot;>&amp;#x23DF;</mo></munder><mtext>&amp;#x603B;&amp;#x9500;&amp;#x552E;&amp;#x989D;</mtext></munder><mo>&amp;#x2212;</mo><munder><munder><mrow><mi>f</mi><mo stretchy=&quot;false&quot;>(</mo><mi>x</mi><mo stretchy=&quot;false&quot;>)</mo></mrow><mo stretchy=&quot;true&quot;>&amp;#x23DF;</mo></munder><mrow><mtext>&amp;#x751F;&amp;#x4EA7;</mtext><mi><merror><mtext>Unknown node type: heti-spacing</mtext></merror></mi><mtext>&amp;#x65F6;&amp;#x7684;&amp;#x751F;&amp;#x4EA7;&amp;#x6210;&amp;#x672C;</mtext></mrow></munder><mo stretchy=&quot;false&quot;><merror><mtext>Unknown node type: heti-spacing</mtext></merror></mo></mrow><annotation encoding=&quot;application/x-tex&quot;>      <merror><mtext>Unknown node type: heti-spacing</mtext></merror>      &amp;#x4EF7;&amp;#x683C;&amp;#x4E3A;      <merror><mtext>Unknown node type: heti-spacing</mtext></merror>      &amp;#x65F6;&amp;#x6700;&amp;#x4F18;&amp;#x751F;&amp;#x4EA7;&amp;#x65B9;&amp;#x6848;&amp;#x4E0B;&amp;#x7684;&amp;#x51C0;&amp;#x5229;&amp;#x6DA6;      <merror><mtext>Unknown node type: heti-spacing</mtext></merror>      &amp;#x603B;&amp;#x9500;&amp;#x552E;&amp;#x989D;      <merror><mtext>Unknown node type: heti-spacing</mtext></merror>      &amp;#x751F;&amp;#x4EA7;      <merror><mtext>Unknown node type: heti-spacing</mtext></merror>      &amp;#x65F6;&amp;#x7684;&amp;#x751F;&amp;#x4EA7;&amp;#x6210;&amp;#x672C;      <merror><mtext>Unknown node type: heti-spacing</mtext></merror></annotation></semantics></math>" role="presentation"><span id="MJXc-Node-11" class="mjx-math" aria-hidden="true"><span id="MJXc-Node-12" class="mjx-mrow"><span id="MJXc-Node-13" class="mjx-semantics"><span id="MJXc-Node-14" class="mjx-mrow"><span id="MJXc-Node-15" class="mjx-mi"><span id="MJXc-Node-16" class="mjx-munder"><span class="mjx-itable"><span class="mjx-row"><span class="mjx-cell"><span class="mjx-op"><span id="MJXc-Node-17" class="mjx-mo"><span id="MJXc-Node-18" class="mjx-msup"><span class="mjx-base" style="margin-right: -0.06em;"><span id="MJXc-Node-19" class="mjx-mi"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.508em; padding-bottom: 0.508em; padding-right: 0.06em;">f</span></span></span><span class="mjx-sup" style="font-size: 70.7%; vertical-align: 0.584em; padding-left: 0.181em; padding-right: 0.071em;"><span id="MJXc-Node-20" class="mjx-mo" style=""><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.193em; padding-bottom: 0.319em;"></span></span></span></span><span id="MJXc-Node-21" class="mjx-mo"><span id="MJXc-Node-22" class="mjx-merror"><span id="MJXc-Node-23" class="mjx-mrow"><span id="MJXc-Node-24" class="mjx-mtext"><span class="mjx-char" style="padding-top: 0.508em; padding-bottom: 0.256em;"><span class="mjx-charbox MJXc-font-inherit" style="font-size: 101%; padding-bottom: 0.316em;">Unknown node type: heti-spacing</span></span></span></span></span></span><span id="MJXc-Node-25" class="mjx-mi"><span id="MJXc-Node-26" class="mjx-merror"><span id="MJXc-Node-27" class="mjx-mrow"><span id="MJXc-Node-28" class="mjx-mtext"><span class="mjx-char" style="padding-top: 0.508em; padding-bottom: 0.256em;"><span class="mjx-charbox MJXc-font-inherit" style="font-size: 101%; padding-bottom: 0.316em;">Unknown node type: heti-spacing</span></span></span></span></span></span><span id="MJXc-Node-29" class="mjx-mo"><span id="MJXc-Node-30" class="mjx-merror"><span id="MJXc-Node-31" class="mjx-mrow"><span id="MJXc-Node-32" class="mjx-mtext"><span class="mjx-char" style="padding-top: 0.508em; padding-bottom: 0.256em;"><span class="mjx-charbox MJXc-font-inherit" style="font-size: 101%; padding-bottom: 0.316em;">Unknown node type: heti-spacing</span></span></span></span></span></span></span></span></span></span><span class="mjx-row"><span class="mjx-under" style="font-size: 70.7%; padding-top: 0.236em; padding-bottom: 0.141em; padding-left: 15.265em;"><span id="MJXc-Node-33" class="mjx-mrow" style=""><span id="MJXc-Node-34" class="mjx-mtext"><span class="mjx-char" style="padding-top: 0.382em; padding-bottom: 0.256em;"><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.417em; width: 0.997em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.417em; width: 0.997em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.417em; width: 0.997em;"></span></span></span><span id="MJXc-Node-35" class="mjx-mi"><span id="MJXc-Node-36" class="mjx-merror"><span id="MJXc-Node-37" class="mjx-mrow"><span id="MJXc-Node-38" class="mjx-mtext"><span class="mjx-char" style="padding-top: 0.508em; padding-bottom: 0.256em;"><span class="mjx-charbox MJXc-font-inherit" style="font-size: 101%; padding-bottom: 0.316em;">Unknown node type: heti-spacing</span></span></span></span></span></span><span id="MJXc-Node-39" class="mjx-mtext"><span class="mjx-char" style="padding-top: 0.382em; padding-bottom: 0.256em;"><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.417em; width: 0.997em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.417em; width: 0.997em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.417em; width: 0.997em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.417em; width: 0.997em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.417em; width: 0.997em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.417em; width: 0.997em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.417em; width: 0.997em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.417em; width: 0.997em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.417em; width: 0.997em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.417em; width: 0.997em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.417em; width: 0.997em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.417em; width: 0.997em;"></span></span></span></span></span></span></span></span></span><span id="MJXc-Node-40" class="mjx-mo MJXc-space3"><span id="MJXc-Node-41" class="mjx-merror"><span id="MJXc-Node-42" class="mjx-mrow"><span id="MJXc-Node-43" class="mjx-mtext"><span class="mjx-char" style="padding-top: 0.508em; padding-bottom: 0.256em;"><span class="mjx-charbox MJXc-font-inherit" style="font-size: 101%; padding-bottom: 0.316em;">Unknown node type: heti-spacing</span></span></span></span></span></span><span id="MJXc-Node-44" class="mjx-munder MJXc-space3"><span class="mjx-itable"><span class="mjx-row"><span class="mjx-cell"><span class="mjx-op"><span id="MJXc-Node-45" class="mjx-mrow"><span id="MJXc-Node-46" class="mjx-mi"><span id="MJXc-Node-47" class="mjx-merror"><span id="MJXc-Node-48" class="mjx-mrow"><span id="MJXc-Node-49" class="mjx-mtext"><span class="mjx-char" style="padding-top: 0.508em; padding-bottom: 0.256em;"><span class="mjx-charbox MJXc-font-inherit" style="font-size: 101%; padding-bottom: 0.316em;">Unknown node type: heti-spacing</span></span></span></span></span></span><span id="MJXc-Node-50" class="mjx-mo"><span class="mjx-char"></span></span></span></span></span></span><span class="mjx-row"><span class="mjx-under" style="font-size: 70.7%; padding-top: 0.236em; padding-bottom: 0.141em; padding-left: 8.608em;"><span id="MJXc-Node-51" class="mjx-mrow" style=""><span id="MJXc-Node-52" class="mjx-mi"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.193em; padding-bottom: 0.319em;">x</span></span><span id="MJXc-Node-53" class="mjx-mo"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.256em; padding-bottom: 0.382em;"></span></span><span id="MJXc-Node-54" class="mjx-mi"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.445em; padding-bottom: 0.256em; padding-right: 0.026em;">E</span></span></span></span></span></span></span><span id="MJXc-Node-55" class="mjx-mo"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.445em; padding-bottom: 0.571em;">{</span></span><span id="MJXc-Node-56" class="mjx-munder"><span class="mjx-itable"><span class="mjx-row"><span class="mjx-cell"><span class="mjx-op"><span id="MJXc-Node-57" class="mjx-munder"><span class="mjx-itable"><span class="mjx-row"><span class="mjx-cell"><span class="mjx-op"><span id="MJXc-Node-58" class="mjx-mrow"><span id="MJXc-Node-59" class="mjx-mo"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.256em; padding-bottom: 0.382em;">&lt;</span></span><span id="MJXc-Node-60" class="mjx-mi"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.193em; padding-bottom: 0.319em;">s</span></span><span id="MJXc-Node-61" class="mjx-mo"><span class="mjx-char MJXc-TeX-main-R" style="margin-top: -0.186em; padding-bottom: 0.508em;">,</span></span><span id="MJXc-Node-62" class="mjx-mi MJXc-space1"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.193em; padding-bottom: 0.319em;">x</span></span><span id="MJXc-Node-63" class="mjx-mo"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.256em; padding-bottom: 0.382em;">&gt;</span></span></span></span></span></span><span class="mjx-row"><span class="mjx-under" style="padding-top: 0.12em;"><span id="MJXc-Node-64" class="mjx-mo"><span class="mjx-delim-h"><span class="mjx-char MJXc-TeX-size4-R" style="padding-top: 0.108em; padding-bottom: 0.488em; margin: 0px 0.01em 0px 0.024em;"></span><span class="mjx-char MJXc-TeX-size4-R" style="padding-top: 0.108em; padding-bottom: 0.488em; margin: 0px 0.101em 0px -0.081em; letter-spacing: -0.112em;"></span><span class="mjx-char MJXc-TeX-size4-R" style="margin-top: 0px; padding-bottom: 0.488em; margin-right: 0.01em; padding-top: 0.108em; margin-bottom: 0px;"></span><span class="mjx-char MJXc-TeX-size4-R" style="padding-top: 0.108em; padding-bottom: 0.488em; margin: 0px 0.101em 0px -0.081em; letter-spacing: -0.112em;"></span><span class="mjx-char MJXc-TeX-size4-R" style="padding-top: 0.108em; padding-bottom: 0.488em; margin-right: 0.024em; margin-bottom: 0px; margin-top: 0px;"></span></span></span></span></span></span></span></span></span></span><span class="mjx-row"><span class="mjx-under" style="font-size: 70.7%; padding-top: 0.236em; padding-bottom: 0.141em; padding-left: 0.156em;"><span id="MJXc-Node-65" class="mjx-mtext" style=""><span class="mjx-char" style="padding-top: 0.382em; padding-bottom: 0.256em;"><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.417em; width: 0.997em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.417em; width: 0.997em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.417em; width: 0.997em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.417em; width: 0.997em;"></span></span></span></span></span></span></span><span id="MJXc-Node-66" class="mjx-mo MJXc-space2"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.319em; padding-bottom: 0.445em;"></span></span><span id="MJXc-Node-67" class="mjx-munder MJXc-space2"><span class="mjx-itable"><span class="mjx-row"><span class="mjx-cell"><span class="mjx-op" style="padding-left: 6.676em;"><span id="MJXc-Node-68" class="mjx-munder"><span class="mjx-itable"><span class="mjx-row"><span class="mjx-cell"><span class="mjx-op"><span id="MJXc-Node-69" class="mjx-mrow"><span id="MJXc-Node-70" class="mjx-mi"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.508em; padding-bottom: 0.508em; padding-right: 0.06em;">f</span></span><span id="MJXc-Node-71" class="mjx-mo"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.445em; padding-bottom: 0.571em;">(</span></span><span id="MJXc-Node-72" class="mjx-mi"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.193em; padding-bottom: 0.319em;">x</span></span><span id="MJXc-Node-73" class="mjx-mo"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.445em; padding-bottom: 0.571em;">)</span></span></span></span></span></span><span class="mjx-row"><span class="mjx-under" style="padding-top: 0.12em;"><span id="MJXc-Node-74" class="mjx-mo"><span class="mjx-delim-h"><span class="mjx-char MJXc-TeX-size4-R" style="padding-top: 0.108em; padding-bottom: 0.488em; margin: 0px 0.01em 0px 0.024em;"></span><span class="mjx-char MJXc-TeX-size4-R" style="padding-top: 0.108em; padding-bottom: 0.488em; margin: 0px 0.242em 0px -0.222em; letter-spacing: -0.394em;"></span><span class="mjx-char MJXc-TeX-size4-R" style="margin-top: 0px; padding-bottom: 0.488em; margin-right: 0.01em; padding-top: 0.108em; margin-bottom: 0px;"></span><span class="mjx-char MJXc-TeX-size4-R" style="padding-top: 0.108em; padding-bottom: 0.488em; margin: 0px 0.242em 0px -0.222em; letter-spacing: -0.394em;"></span><span class="mjx-char MJXc-TeX-size4-R" style="padding-top: 0.108em; padding-bottom: 0.488em; margin-right: 0.024em; margin-bottom: 0px; margin-top: 0px;"></span></span></span></span></span></span></span></span></span></span><span class="mjx-row"><span class="mjx-under" style="font-size: 70.7%; padding-top: 0.236em; padding-bottom: 0.141em;"><span id="MJXc-Node-75" class="mjx-mrow" style=""><span id="MJXc-Node-76" class="mjx-mtext"><span class="mjx-char" style="padding-top: 0.382em; padding-bottom: 0.256em;"><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.417em; width: 0.997em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.417em; width: 0.997em;"></span></span></span><span id="MJXc-Node-77" class="mjx-mi"><span id="MJXc-Node-78" class="mjx-merror"><span id="MJXc-Node-79" class="mjx-mrow"><span id="MJXc-Node-80" class="mjx-mtext"><span class="mjx-char" style="padding-top: 0.508em; padding-bottom: 0.256em;"><span class="mjx-charbox MJXc-font-inherit" style="font-size: 101%; padding-bottom: 0.316em;">Unknown node type: heti-spacing</span></span></span></span></span></span><span id="MJXc-Node-81" class="mjx-mtext"><span class="mjx-char" style="padding-top: 0.382em; padding-bottom: 0.256em;"><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.417em; width: 0.997em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.417em; width: 0.997em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.417em; width: 0.997em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.417em; width: 0.997em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.417em; width: 0.997em;"></span><span class="mjx-charbox MJXc-TeX-unknown-R" style="padding-bottom: 0.417em; width: 0.997em;"></span></span></span></span></span></span></span></span><span id="MJXc-Node-82" class="mjx-mo MJXc-space3"><span id="MJXc-Node-83" class="mjx-merror"><span id="MJXc-Node-84" class="mjx-mrow"><span id="MJXc-Node-85" class="mjx-mtext"><span class="mjx-char" style="padding-top: 0.508em; padding-bottom: 0.256em;"><span class="mjx-charbox MJXc-font-inherit" style="font-size: 101%; padding-bottom: 0.316em;">Unknown node type: heti-spacing</span></span></span></span></span></span></span></span></span></span><span class="MJX_Assistive_MathML MJX_Assistive_MathML_Block" role="presentation"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mi><munder><mo><msup><mi>f</mi><mo lspace="0em" rspace="0em"></mo></msup><mo stretchy="false"><merror><mtext>Unknown node type: heti-spacing</mtext></merror></mo><mi><merror><mtext>Unknown node type: heti-spacing</mtext></merror></mi><mo stretchy="false"><merror><mtext>Unknown node type: heti-spacing</mtext></merror></mo></mo><mrow><mtext>价格为</mtext><mi><merror><mtext>Unknown node type: heti-spacing</mtext></merror></mi><mtext>时最优生产方案下的净利润</mtext></mrow></munder></mi><mo><merror><mtext>Unknown node type: heti-spacing</mtext></merror></mo><munder><mrow><mi><merror><mtext>Unknown node type: heti-spacing</mtext></merror></mi><mo></mo></mrow><mrow><mi>x</mi><mo></mo><mi>E</mi></mrow></munder><mo stretchy="false">{</mo><munder><munder><mrow><mo fence="true">&lt;</mo><mi>s</mi><mo separator="true">,</mo><mi>x</mi><mo fence="true">&gt;</mo></mrow><mo stretchy="true"></mo></munder><mtext>总销售额</mtext></munder><mo></mo><munder><munder><mrow><mi>f</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mrow><mo stretchy="true"></mo></munder><mrow><mtext>生产</mtext><mi><merror><mtext>Unknown node type: heti-spacing</mtext></merror></mi><mtext>时的生产成本</mtext></mrow></munder><mo stretchy="false"><merror><mtext>Unknown node type: heti-spacing</mtext></merror></mo></mrow><annotation encoding="application/x-tex">      <merror><mtext>Unknown node type: heti-spacing</mtext></merror>      价格为      <merror><mtext>Unknown node type: heti-spacing</mtext></merror>      时最优生产方案下的净利润      <merror><mtext>Unknown node type: heti-spacing</mtext></merror>      总销售额      <merror><mtext>Unknown node type: heti-spacing</mtext></merror>      生产      <merror><mtext>Unknown node type: heti-spacing</mtext></merror>      时的生产成本      <merror><mtext>Unknown node type: heti-spacing</mtext></merror></annotation></semantics></math></span></span></span><script type="math/mml" id="MathJax-Element-3"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mi><munder><mo><msup><mi>f</mi><mo lspace="0em" rspace="0em"></mo></msup><mo stretchy="false"><heti-spacing class="heti-spacing-start">(</heti-spacing></mo><mi><heti-spacing class="heti-spacing-start">s</heti-spacing></mi><mo stretchy="false"><heti-spacing class="heti-spacing-start">)</heti-spacing></mo></mo><mrow><mtext>价格为</mtext><mi><heti-spacing class="heti-spacing-start heti-spacing-end">s</heti-spacing></mi><mtext>时最优生产方案下的净利润</mtext></mrow></munder></mi><mo><heti-spacing class="heti-spacing-end">=</heti-spacing></mo><munder><mrow><mi><heti-spacing class="heti-spacing-end">sup</heti-spacing></mi><mo></mo></mrow><mrow><mi>x</mi><mo></mo><mi>E</mi></mrow></munder><mo stretchy="false">{</mo><munder><munder><mrow><mo fence="true">&lt;</mo><mi>s</mi><mo separator="true">,</mo><mi>x</mi><mo fence="true">&gt;</mo></mrow><mo stretchy="true"></mo></munder><mtext>总销售额</mtext></munder><mo></mo><munder><munder><mrow><mi>f</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mrow><mo stretchy="true"></mo></munder><mrow><mtext>生产</mtext><mi><heti-spacing class="heti-spacing-start heti-spacing-end">x</heti-spacing></mi><mtext>时的生产成本</mtext></mrow></munder><mo stretchy="false"><heti-spacing class="heti-spacing-start heti-spacing-end">}</heti-spacing></mo></mrow><annotation encoding="application/x-tex"><heti-spacing class="heti-spacing-start heti-spacing-end">\underset{\text{</heti-spacing>价格为<heti-spacing class="heti-spacing-start heti-spacing-end">}s\text{</heti-spacing>时最优生产方案下的净利润<heti-spacing class="heti-spacing-start heti-spacing-end">}}{f^{*}(s)} = \sup_{x \in E } \{ \underbrace{\left&lt; s,x \right&gt;}_{</heti-spacing>总销售额<heti-spacing class="heti-spacing-start heti-spacing-end">} - \underbrace{f(x)}_{\text{</heti-spacing>生产<heti-spacing class="heti-spacing-start heti-spacing-end">}x\text{</heti-spacing>时的生产成本<heti-spacing class="heti-spacing-start heti-spacing-end">}}\}</heti-spacing></annotation></semantics></math></script></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height: 1.7443em; vertical-align: -0.9943em;"></span><span class="mord"><span class="mop op-limits"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.75em;"><span class="" style="top: -2.1057em; margin-left: 0em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord text mtight"><span class="mord cjk_fallback mtight">价格为</span></span><span class="mord mathnormal mtight"><heti-spacing class="heti-spacing-start heti-spacing-end">s</heti-spacing></span><span class="mord text mtight"><span class="mord cjk_fallback mtight">时最优生产方案下的净利润</span></span></span></span></span><span class="" style="top: -3em;"><span class="pstrut" style="height: 3em;"></span><span class=""><span class="mop"><span class="mord"><span class="mord mathnormal" style="margin-right: 0.1076em;"><heti-spacing class="heti-spacing-end">f</heti-spacing></span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height: 0.7387em;"><span class="" style="top: -3.113em; margin-right: 0.05em;"><span class="pstrut" style="height: 2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"></span></span></span></span></span></span></span></span></span><span class="mopen">(</span><span class="mord mathnormal">s</span><span class="mclose">)</span></span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.9943em;"><span class=""></span></span></span></span></span></span><span class="mspace" style="margin-right: 0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right: 0.2778em;"></span></span><span class="base"><span class="strut" style="height: 2.3263em; vertical-align: -1.5763em;"></span><span class="mop op-limits"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.4306em;"><span class="" style="top: -2.1612em; margin-left: 0em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathnormal mtight">x</span><span class="mrel mtight"></span><span class="mord mathnormal mtight" style="margin-right: 0.0576em;">E</span></span></span></span><span class="" style="top: -3em;"><span class="pstrut" style="height: 3em;"></span><span class=""><span class="mop">sup</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.9661em;"><span class=""></span></span></span></span></span><span class="mopen"><heti-spacing class="heti-spacing-start">{</heti-spacing></span><span class="mord munder"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.75em;"><span class="" style="top: -1.4237em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord cjk_fallback mtight">总销售额</span></span></span></span><span class="" style="top: -3em;"><span class="pstrut" style="height: 3em;"></span><span class="mord munder"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.75em;"><span class="svg-align" style="top: -2.102em;"><span class="pstrut" style="height: 3em;"></span><span class="stretchy" style="height: 0.548em; min-width: 1.6em;"><span class="brace-left" style="height: 0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMinYMin slice"><path d="M0 6l6-6h17c12.688 0 19.313.3 20 1 4 4 7.313 8.3 10 13
 35.313 51.3 80.813 93.8 136.5 127.5 55.688 33.7 117.188 55.8 184.5 66.5.688
 0 2 .3 4 1 18.688 2.7 76 4.3 172 5h399450v120H429l-6-1c-124.688-8-235-61.7
-331-161C60.687 138.7 32.312 99.3 7 54L0 41V6z"></path></svg></span><span class="brace-center" style="height: 0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMidYMin slice"><path d="M199572 214
c100.7 8.3 195.3 44 280 108 55.3 42 101.7 93 139 153l9 14c2.7-4 5.7-8.7 9-14
 53.3-86.7 123.7-153 211-199 66.7-36 137.3-56.3 212-62h199568v120H200432c-178.3
 11.7-311.7 78.3-403 201-6 8-9.7 12-11 12-.7.7-6.7 1-18 1s-17.3-.3-18-1c-1.3 0
-5-4-11-12-44.7-59.3-101.3-106.3-170-141s-145.3-54.3-229-60H0V214z"></path></svg></span><span class="brace-right" style="height: 0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMaxYMin slice"><path d="M399994 0l6 6v35l-6 11c-56 104-135.3 181.3-238 232-57.3
 28.7-117 45-179 50H-300V214h399897c43.3-7 81-15 113-26 100.7-33 179.7-91 237
-174 2.7-5 6-9 10-13 .7-1 7.3-1 20-1h17z"></path></svg></span></span></span><span class="" style="top: -3em;"><span class="pstrut" style="height: 3em;"></span><span class="mord"><span class="minner"><span class="mopen delimcenter" style="top: 0em;"></span><span class="mord mathnormal">s</span><span class="mpunct">,</span><span class="mspace" style="margin-right: 0.1667em;"></span><span class="mord mathnormal">x</span><span class="mclose delimcenter" style="top: 0em;"></span></span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.898em;"><span class=""></span></span></span></span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 1.5763em;"><span class=""></span></span></span></span></span><span class="mspace" style="margin-right: 0.2222em;"></span><span class="mbin"></span><span class="mspace" style="margin-right: 0.2222em;"></span></span><span class="base"><span class="strut" style="height: 2.3263em; vertical-align: -1.5763em;"></span><span class="mord munder"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.75em;"><span class="" style="top: -1.4237em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord text mtight"><span class="mord cjk_fallback mtight">生产</span></span><span class="mord mathnormal mtight"><heti-spacing class="heti-spacing-start heti-spacing-end">x</heti-spacing></span><span class="mord text mtight"><span class="mord cjk_fallback mtight">时的生产成本</span></span></span></span></span><span class="" style="top: -3em;"><span class="pstrut" style="height: 3em;"></span><span class="mord munder"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.75em;"><span class="svg-align" style="top: -2.102em;"><span class="pstrut" style="height: 3em;"></span><span class="stretchy" style="height: 0.548em; min-width: 1.6em;"><span class="brace-left" style="height: 0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMinYMin slice"><path d="M0 6l6-6h17c12.688 0 19.313.3 20 1 4 4 7.313 8.3 10 13
 35.313 51.3 80.813 93.8 136.5 127.5 55.688 33.7 117.188 55.8 184.5 66.5.688
 0 2 .3 4 1 18.688 2.7 76 4.3 172 5h399450v120H429l-6-1c-124.688-8-235-61.7
-331-161C60.687 138.7 32.312 99.3 7 54L0 41V6z"></path></svg></span><span class="brace-center" style="height: 0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMidYMin slice"><path d="M199572 214
c100.7 8.3 195.3 44 280 108 55.3 42 101.7 93 139 153l9 14c2.7-4 5.7-8.7 9-14
 53.3-86.7 123.7-153 211-199 66.7-36 137.3-56.3 212-62h199568v120H200432c-178.3
 11.7-311.7 78.3-403 201-6 8-9.7 12-11 12-.7.7-6.7 1-18 1s-17.3-.3-18-1c-1.3 0
-5-4-11-12-44.7-59.3-101.3-106.3-170-141s-145.3-54.3-229-60H0V214z"></path></svg></span><span class="brace-right" style="height: 0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMaxYMin slice"><path d="M399994 0l6 6v35l-6 11c-56 104-135.3 181.3-238 232-57.3
 28.7-117 45-179 50H-300V214h399897c43.3-7 81-15 113-26 100.7-33 179.7-91 237
-174 2.7-5 6-9 10-13 .7-1 7.3-1 20-1h17z"></path></svg></span></span></span><span class="" style="top: -3em;"><span class="pstrut" style="height: 3em;"></span><span class="mord"><span class="mord mathnormal" style="margin-right: 0.1076em;">f</span><span class="mopen">(</span><span class="mord mathnormal">x</span><span class="mclose">)</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.898em;"><span class=""></span></span></span></span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 1.5763em;"><span class=""></span></span></span></span></span><span class="mclose">}</span></span></span></span></span></span>
<p>公式前<span><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi><heti-spacing class="heti-spacing-start heti-spacing-end">x</heti-spacing></mi><mi><heti-spacing class="heti-spacing-start heti-spacing-end">y</heti-spacing></mi><mi><heti-spacing class="heti-spacing-start heti-spacing-end">z</heti-spacing></mi><mtext></mtext><msubsup><mo></mo><mrow><mi><heti-spacing class="heti-spacing-start">i</heti-spacing></mi><mo><heti-spacing class="heti-spacing-start">=</heti-spacing></mo><mn><heti-spacing class="heti-spacing-start">1</heti-spacing></mn></mrow><mi><heti-spacing class="heti-spacing-start">n</heti-spacing></mi></msubsup><msub><mi><heti-spacing class="heti-spacing-start">s</heti-spacing></mi><mi><heti-spacing class="heti-spacing-start">i</heti-spacing></mi></msub></mrow><annotation encoding="application/x-tex"><heti-spacing class="heti-spacing-start">xyz\text{</heti-spacing><heti-spacing class="heti-spacing-start heti-spacing-end">}\sum_{i=1}^{n} s_i</heti-spacing></annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height: 1.104em; vertical-align: -0.2997em;"></span><span class="mord mathnormal"><heti-spacing class="heti-spacing-start heti-spacing-end">x</heti-spacing></span><span class="mord mathnormal" style="margin-right: 0.044em;"><heti-spacing class="heti-spacing-start heti-spacing-end">yz</heti-spacing></span><span class="mord text"><span class="mord cjk_fallback"></span></span><span class="mspace" style="margin-right: 0.1667em;"></span><span class="mop"><span class="mop op-symbol small-op" style="position: relative; top: 0em;"></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.8043em;"><span class="" style="top: -2.4003em; margin-left: 0em; margin-right: 0.05em;"><span class="pstrut" style="height: 2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathnormal mtight">i</span><span class="mrel mtight">=</span><span class="mord mtight">1</span></span></span></span><span class="" style="top: -3.2029em; margin-right: 0.05em;"><span class="pstrut" style="height: 2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathnormal mtight">n</span></span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.2997em;"><span class=""></span></span></span></span></span></span><span class="mspace" style="margin-right: 0.1667em;"></span><span class="mord"><span class="mord mathnormal">s</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.3117em;"><span class="" style="top: -2.55em; margin-left: 0em; margin-right: 0.05em;"><span class="pstrut" style="height: 2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathnormal mtight">i</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height: 0.15em;"><span class=""></span></span></span></span></span></span></span></span></span></span></p>

@ChasingZenith
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如果不能简单的兼容的话,请问仅在公式前后加上空格,公式中的不影响能实现吗?

@sivan
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sivan commented Nov 17, 2022

可以给想跳过的元素加一个heti-skip的class试试?这个class内的元素不会被处理。

@ChasingZenith
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谢谢。行内公式一般是一个span元素,有中英文时是否能给它前后加一个空格?

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