feat: technical note papers improvements and new WIPs. (papers).

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

1 files changed, 2 insertions, 2 deletions

diff --git a/source/dn001.07/paper.tex b/source/dn001.07/paper.tex
index 209c34d..6d35efd 100644
--- a/source/dn001.07/paper.tex
+++ b/source/dn001.07/paper.tex
@@ -27,7 +27,7 @@ Let two lemmas for the integrals $\alpha$ and $\beta$. $\beta$ and $\alpha$ shal
 
 \subsubsection{Conditions of $\alpha$}
 
-Let $\alpha$ be an integral of $t \in \mathbb{Z}$ which consists of a sum $S(t) = \sum_{k=1}^{t} (t!), \quad \forall k \in \mathbb{Z}$.
+Let $\alpha$ be an integral of $t \in \mathbb{Z}$ which consists of a sum $S(t) = \sum_{k=1}^{n} (t!), \quad \forall k, n \in \mathbb{Z}, \quad \forall t \in \mathbb{R}$.
 Consider the following integral:
 
 \begin{equation}
@@ -42,6 +42,6 @@ Let $\beta$ be an integral of $t \in \mathbb{Z}$ which consists of $\alpha \in \
 $\beta > \alpha$. Such that $\lim_{t \to e} (\alpha \to \infty$).
 
 \subsubsection{Conclusion}
-We see that $\beta. \quad \alpha$ is defined if and only if $t > e$. We can conclude that the lemma holds and points toward $\infty$.
+We see that $\beta, \quad \alpha$ is defined if and only if $t > e$. We can conclude that the lemma holds and points toward $\infty$.
 
 \end{document}