chore: update papers, remove bad lemma.

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

1 files changed, 0 insertions, 64 deletions

diff --git a/drafts/d01/paper.tex b/drafts/d01/paper.tex
deleted file mode 100644
index c563b63..0000000
--- a/drafts/d01/paper.tex
+++ /dev/null
@@ -1,64 +0,0 @@
-% AUTHOR: Amlal El Mahrouss
-% PURPOSE: D01: The T-Function.
-
-
-\documentclass[11pt, a4paper]{article}
-\usepackage{graphicx}
-\usepackage{listings}
-\usepackage{amsmath,amssymb,amsthm}
-\usepackage{xcolor}
-\usepackage{hyperref}
-\usepackage[margin=0.5in,top=1in,bottom=1in]{geometry}
-
-\title{The T-Function.}
-\author{Amlal El Mahrouss\\\texttt{amlal@nekernel.org}}
-\date{February 2026}
-
-\begin{document}
-
-\bf \maketitle
-
-\begin{center}
-	\rule[0.01cm]{17cm}{0.01cm}
-\end{center}
-
-\section{Abstract}
-This paper covers a function $\Theta(\Delta t)$, which we will use to solve a set of lemmas in $\mathbb{C}$.
-
-\section{Definitions}
-
-\subsection{Definition of $\Theta(\Delta t)$}
-Let the T-Function:
-$\Theta(\Delta t, \Delta\phi)=\frac{\Delta\phi}{\Delta t}$
-such that $\Theta(\Delta t) \in \mathbb{C}$ if and only if $\Theta(\Delta t, \Delta\phi) > \frac{\Delta\phi}{\Delta t}$
-
-\subsection{Lemma 1}
-
-Proof for $\Theta(\Delta t, \Delta\phi) > \frac{\Delta\phi}{\Delta t}$ when $\forall \Delta t = 4i, \quad \Delta\phi = \ln(e \times i)$ then
-\begin{equation}
-    \Theta(\Delta t, \Delta\phi) > \frac{\Delta\phi}{{\Delta t}}
-\end{equation}
-Hence
-\begin{equation}
-(\Theta(\Delta t, \Delta\phi) \times \Delta t) < \Delta\phi
-\end{equation}
-Then
-\begin{equation}
-\Theta(\Delta t, \Delta\phi) \times \Delta t \in \mathbb{C}
-\end{equation}
-Then
-\begin{equation}
-y = \ln(e \times i) \to \ln (e(i \times t))
-\end{equation}
-Such that we then multiply $\Delta t$ from both sides:
-\begin{equation}
-    y = |\Theta(\Delta t, \Delta\phi) \times \Delta (n \times i)| > \ln (e \times (i \times t))
-\end{equation}
-Hence
-
-\begin{equation}
-    \forall y \in \mathbb{C}, \quad y > \ln(e \times i)
-\end{equation}
-This completes the proof.
-
-\end{document}