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‎paper.md

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@@ -82,11 +82,11 @@ The algorithm presented here has the advantage of operating on a user-friendly s
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# Mathematical Treatment
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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:
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\begin{equation}\label{eq:6}
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[X_i]_{tot} = a_1X_1 + a_2[X_2] + ... + a_n[X_n]
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[X_i]_{tot} = a_1[X_1] + a_2[X_2] + ... + a_n[X_n]
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\end{equation}
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Where square brackets denote concentrations of chemical species.
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Or equivalently we can rewrite \autoref{eq:6} as a summation over all species taking part of the mass conservation for the $i^{th}$ species, whose indexes belong to the set N:
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Or equivalently we can rewrite \autoref{eq:6} as a summation over all species taking part of the mass conservation for the $i^{th}$ species, whose indexes belong to the set N = {1, 2, 3, ..., k}:
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\begin{equation}\label{eq:7}
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[X_i]_{tot} = \sum_{j \in N} a_j[X_j]
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\end{equation}

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