chore: Update papers repository structure.

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

1 files changed, 60 insertions, 0 deletions

diff --git a/source/dn001.06/paper.tex b/source/dn001.06/paper.tex
new file mode 100644
index 0000000..25e6c2a
--- /dev/null
+++ b/source/dn001.06/paper.tex
@@ -0,0 +1,60 @@
+
+\documentclass[11pt, a4paper]{article}
+\usepackage{graphicx}
+\usepackage{listings}
+\usepackage{xcolor}
+\usepackage{hyperref}
+\usepackage{amsfonts}
+\usepackage[margin=0.5in,top=1in,bottom=1in]{geometry}
+
+\title{The $\mathbb{C}$ Index Property.}
+\author{Amlal El Mahrouss\\amlal@nekernel.org}
+\date{February 2026}
+
+\begin{document}
+\bf
+\maketitle
+\begin{center}
+	\rule[0.01cm]{17cm}{0.01cm}
+\end{center}
+\abstract{
+	This paper defines the property of $\mathbb{C}$ Indices such that $n \in \mathbb{R}$ for all $\Omega_{n} \in \mathbb{C}$. Definitions and properties are stated in this paper.
+}
+\begin{center}
+	\rule[0.01cm]{17cm}{0.01cm}
+\end{center}
+
+\section{Definitions of $\mathbb{C}$ Indices}
+
+\subsection{Definition of $\Omega$}
+
+Let $\Omega_{n}$ be a set defined as $\Omega \in \mathbb{C}$ and the following indices $\beta \in \mathbb{C}$:
+
+\begin{equation}
+	\Omega_{n} = (\beta_{0} \times \beta_{n})
+\end{equation}
+
+\subsection{Definition of $\alpha$}
+
+Let $\alpha$ denote $\Omega_{n}$ with a remainder of $\mathbb{X}$ defined as the result of $\beta_{n}$.
+\begin{equation}
+	\alpha = \Omega_{n} \cup \mathbb{X}
+\end{equation}
+
+\section{Properties of $\mathbb{C}$ Indices}
+
+\subsection{Properties of $\Omega$}
+
+\begin{enumerate}
+	\item $\Omega_{n} \cup \mathbb{X}$ such that $\mathbb{X} = \beta_{n}$.
+\end{enumerate}
+
+\subsection{Properties of $\alpha$}
+
+\begin{enumerate}
+
+	\item $\mathbb{X} = \beta_{n}$ such that $\beta_{n} \in \mathbb{C}$
+	
+\end{enumerate}
+
+\end{document}