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diff --git a/source/wg04/paper.2.tex b/source/wg04/paper.2.tex
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+++ b/source/wg04/paper.2.tex
@@ -32,11 +32,11 @@ We assume $x \in \mathbb{R}, \quad a, b \in \mathbb{N}, \quad 0 < a < b < \cos(0
\subsection{DEFINITION OF THE S-INTEGRAL:}
\begin{equation}
- I_{1} \coloneqq \int_{a}^{b} S(x)dx
+ I_{1}(a, b, x) \coloneqq \int_{a}^{b} S(x)dx
\end{equation}
\subsection{DEFINITION OF THE S-FUNCTION:}
\begin{equation}
- S(x) = \sum_{k=1}^{t} (\frac{dx}{du}) \cdot x, \quad x > 0, \quad t > k
+ S(x, u) = \sum_{k=1}^{t} (\frac{dx}{du}\cdot k) \cdot x, \quad x > 0, \quad t > k
\end{equation}
\end{document}