chore: update wg04 paper draft.

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 a69c8f9..d2fd47e 100644
--- a/source/wg04/paper.tex
+++ b/source/wg04/paper.tex
@@ -30,15 +30,15 @@
 
 \section{DEFINITIONS}
 
-This section will cover the definitions and properties of the formulas we will use in this paper.
+The section covers definitions, and properties of the formulas we will use in this paper.
 We assume $x, y, z \in \mathbb{R}, \quad n \in \mathbb{N}, \quad \cos(\pi) < a < b, \quad t = a$
 \subsection{DEFINITION OF THE A-INTEGRAL:}
 \begin{equation}
-    I_{1}(x, t, a, b, n) \coloneqq \sum_{k=t}^{n} \int_{a}^{b} S(x) dx
+    I_{1}(t, a, b, n) \coloneqq \sum_{k=t}^{n} \int_{a}^{b} S(u) du
 \end{equation}
 \subsection{DEFINITION OF THE A-FUNCTION:}
 \begin{equation}
-	S(x, y) : (x, y) \to \mathbb{R}
+	S(x, u) : (x, u) \to \mathbb{R}
 \end{equation}
 \subsection{DEFINITION OF THE A-EQUATION:}
 \begin{equation}