From aeafd48b8922b9d11399e795d105a23bbab43667 Mon Sep 17 00:00:00 2001 From: Amlal El Mahrouss Date: Mon, 16 Feb 2026 21:26:31 +0100 Subject: chore: update papers. Signed-off-by: Amlal El Mahrouss --- source/dn001.05/paper.tex | 2 +- source/dn001.07/paper.tex | 2 ++ 2 files changed, 3 insertions(+), 1 deletion(-) (limited to 'source') diff --git a/source/dn001.05/paper.tex b/source/dn001.05/paper.tex index 9f62265..7b3ae5c 100644 --- a/source/dn001.05/paper.tex +++ b/source/dn001.05/paper.tex @@ -39,7 +39,7 @@ Let $Pe(x, ..., z)$ be an execution product of variable arguments $x$, $...$, to Let the index $i$ denote the current execution domain of an execution product. \\ \\ Consider the following formula: \begin{equation} -Pe(x, ..., z) = \prod_{i=1}^{n}(x_{i} \times ... \times z_{i})+\mathbb{U} +Pe(x, ..., z) = \prod_{i=1}^{n}(x_{i} \cdot ... \cdot z_{i})+\mathbb{U} \end{equation} In which we define as the execution product, where $\mathbb{U}$ is the Unknown Execution of $Pe(x, ..., z)$, now defined as $g(\mathbb{E})$. diff --git a/source/dn001.07/paper.tex b/source/dn001.07/paper.tex index 6e1deca..d2caef5 100644 --- a/source/dn001.07/paper.tex +++ b/source/dn001.07/paper.tex @@ -30,4 +30,6 @@ We assume that $u \in \mathbb{R}, \quad \forall u \in \mathbb{R} : u < \pi, \qua \end{equation} Where $u, u_{0} > 0, \quad u, u_{0} \in \mathbb{R}$, such that $S : (u, \pi) \to \mathbb{R}$. +\section{Lemmas} + \end{document} -- cgit v1.2.3