chore: update wg04 paper.

Signed-off-by: Amlal El Mahrouss <amlal@nekernel.org>

1 files changed, 3 insertions, 3 deletions

diff --git a/source/wg04/paper.tex b/source/wg04/paper.tex
index d2fd47e..5ade708 100644
--- a/source/wg04/paper.tex
+++ b/source/wg04/paper.tex
@@ -42,17 +42,17 @@ We assume $x, y, z \in \mathbb{R}, \quad n \in \mathbb{N}, \quad \cos(\pi) < a <
 \end{equation}
 \subsection{DEFINITION OF THE A-EQUATION:}
 \begin{equation}
-	I_{2}(x, y, z, a, b, \Delta t) \coloneqq \int_{a}^{b} (E_{1}(x, y, z, \Delta t))dx, \quad E_{1}(x, y, z, \Delta t) := \frac{(S(x) \cdot y)}{\Delta t \cdot z}
+	I_{2}(y, z, a, b, \Delta t) \coloneqq \int_{a}^{b} (E_{1}(x, y, z, \Delta t))dx, \quad E_{1}(x, y, z, \Delta t) := \frac{(S(x) \cdot y)}{\Delta t \cdot z}
 \end{equation}
 Where $\Delta t \in \mathbb{R}$ if and only if $0 < \Delta t$.
 \subsection{DEFINITION OF THE K-EQUATION:}
 \begin{equation}
 	K_{n}(u_{n}, a, b) \coloneqq \int_{a}^{b} S_{n}(u_{n}) \quad d \cdot u_{n}, \quad \forall u_{n} \in \mathbb{R}
 \end{equation}
-Where $K_{n} > 0$ such that $S_{n}(u_{n})$ is the A-Function at index $n$ of $u$.
+Where $K_{n} > 0$ and $S_{n}(u_{n})$ is an A-Function of index $n$ at $u$.
 
 \section{INTRODUCTION}
 
-We will in this paper introduce several equations and their usages in analysis.
+We will in the paper, introduce several equations, and their usages in analysis.
 
 \end{document}