chore: new edit on draft.

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

1 files changed, 6 insertions, 6 deletions

diff --git a/source/dn001.07/paper.tex b/source/dn001.07/paper.tex
index d979796..611ff92 100644
--- a/source/dn001.07/paper.tex
+++ b/source/dn001.07/paper.tex
@@ -22,24 +22,24 @@
 \begin{document}
 \maketitle
 
-\begin{center}
-	\rule[0.01cm]{17cm}{0.01cm}
-\end{center}
-
 \begin{abstract}
 \begin{center}
     The paper covers several lemmas and definitions that we will define to help us connect the dots for series in analysis.
 \end{center}
 \end{abstract}
 
+\begin{center}
+  \rule[0.01cm]{17cm}{0.01cm}
+\end{center}
+
 \section{DEFINITIONS}
 
 We assume that $u \in \mathbb{R}, \quad \forall u, \pi > u > 0$
 
 \begin{equation}
-	I_{n} \coloneqq \int_{u_{n}}^{u} S(t) dt, \quad \forall n \geq 1, \quad n \in \mathbb{Z}
+	I_{n} \coloneqq \int_{u_{n}}^{u} X(t) dt, \quad \forall n \geq 1, \quad n \in \mathbb{Z}
 \end{equation}
-Where $u, u_{0} > 0$ for $S(u) \in \mathbb{R}$.
+Where $u, u_{0} > 0$ for $X(u) \in \mathbb{R}$ where $X(u)$ is a function in $\mathbb{R}$.
 
 \section{LEMMAS}