updated text

paper.md

@@ -80,11 +80,12 @@ In this system, we can see that chemical equilibria consist of nonlinear functio
 The algorithm presented here has the advantage of operating on a user-friendly set of equations that is intuitively employed by any user with a basic chemistry knowledge. These equations are solved with an approach equivalent to the Newton search of the logarithmic equations over the logarithm of the variables.
 
 # Mathematical Treatment
-In a system with *n* different species, the mass conservation relationship for the $i^{th}$ species can be stated as the sum over all the species having masses $X_{1…n}$ multiplied by their stoichiometries (*a*). We can define the conservation of mass for the $i^{th}$ species as:
+In a system with *n* different species, the mass conservation relationship for the $i^{th}$ species can be stated as the sum over the concentrations of all the species $X_{1…n}$ multiplied by their stoichiometries (*a*). We can define the conservation of mass for the $i^{th}$ species as:
 \begin{equation}\label{eq:6}
-a_1[X_1] + a_2[X_2] + ... + a_n[X_n] = [X_i]_{tot}
+a_1X_1 + a_2[X_2] + ... + a_n[X_n] = [X_i]_{tot}
 \end{equation}
 
+Where square brackets denote concentrations of chemical species.
 Or equivalently a summation over all species taking part of the mass conservation for the $i^{th}$ species, whose indexes belong to the set N:
 \begin{equation}\label{eq:7}
 \sum_{j \in N} a_j[X_j] = [X_i]_{tot}
@@ -102,7 +103,7 @@ Then we “condense” the sum in the denominator of \autoref{eq:8} into a produ
 \sum_{j \in N} a_j[X_j] = \prod_{j \in N} \bigg(\frac{a_j[X_j]}{W_j}\bigg)^{W_j}
 \end{equation}
 
-With *W* for a given species *j* part of a mass conservation relationship for species $i$ being equal to:
+With *W* for the *j^{th}* species part of the mass conservation relationship of the $i^{th}$ species being equal to:
 \begin{equation}\label{eq:10}
 W_j = \frac{a_j[X_j]}{\sum_{p \in N} a_p[X_p]}
 \end{equation}