From e52d2906015922a48563b3e68f73776bc6de6921 Mon Sep 17 00:00:00 2001 From: Amlal El Mahrouss Date: Wed, 25 Feb 2026 13:24:12 +0100 Subject: chore: new edit on draft. Signed-off-by: Amlal El Mahrouss --- source/dn001.07/paper.tex | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) (limited to 'source') 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} -- cgit v1.2.3