133 lines
4.3 KiB
TeX
133 lines
4.3 KiB
TeX
\usepackage[utf8]{inputenc}
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\usepackage[french]{babel}
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\usepackage[T1]{fontenc}
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\usepackage[top=3cm,bottom=3cm,left=2cm,right=2cm]{geometry}
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\usepackage{amsmath}
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\usepackage{amsfonts}
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\usepackage{amssymb}
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\usepackage{stmaryrd}
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\usepackage{graphicx}
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\usepackage{amsthm}
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\usepackage{fancyhdr}
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\usepackage{faktor}
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\usepackage{dsfont}
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\usepackage{pgf,tikz,pgfplots}
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\usepackage{mathrsfs}
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\usepackage{enumitem}
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\usepackage{centernot}
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\usepackage{float}
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\usepackage{xurl}
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\pgfplotsset{compat=1.17}
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\usetikzlibrary{arrows}
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\usetikzlibrary{shapes}
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\author{Yohann D'ANELLO}
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\pagestyle{fancy}
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\lfoot{Yohann D'ANELLO}
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\rfoot{M2 DS, Université Paris-Saclay}
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\setlength{\headheight}{14pt}
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\renewcommand{\headrulewidth}{1pt}
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\renewcommand{\footrulewidth}{1pt}
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\newtheoremstyle{mystyle}% name
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{\topsep}%Space above
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{\topsep}%Space below
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{}%Body font
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{0pt}%Indent amount
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{\bfseries}% Theorem head font
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{}%Punctuation after theorem head
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{2pt}%Space after theorem head 2
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{\underline{\thmname{#1}~\thmnumber{#2}\thmnote{~(#3)}.}}%Theorem head spec (can be left empty, meaning ‘normal’)
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\theoremstyle{mystyle}
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\newenvironment{preuve}{\noindent\textit{\underline{\proofname.}}~\newline\text{}}{\hfill $\square$\bigskip}
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\newtheorem{definition}{Définition}
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\newenvironment{defi}[1][]{\begin{definition}[#1]~\newline\text{}}{\end{definition}\bigskip}
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\newtheorem{theorem}[definition]{Théorème}
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\newenvironment{thm}[1][]{\begin{theorem}[#1]~\newline\text{}}{\end{theorem}\bigskip}
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\newtheorem{proposition}[definition]{Proposition}
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\newenvironment{prop}[1][]{\begin{proposition}[#1]~\newline\text{}}{\end{proposition}\bigskip}
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\newtheorem{corrolary}[definition]{Corollaire}
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\newenvironment{cor}[1][]{\begin{corrolary}[#1]~\newline\text{}}{\end{corrolary}\bigskip}
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\newtheorem{lemma}[definition]{Lemme}
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\newenvironment{lemme}[1][]{\begin{lemma}[#1]~\newline\text{}}{\end{lemma}\bigskip}
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\newtheorem{example}[definition]{Exemple}
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\newenvironment{ex}[1][]{\begin{example}[#1]~\newline\text{}}{\end{example}\bigskip}
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\newtheorem{exercise}{Exercice}
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\newenvironment{exo}[1][]{\begin{exercise}[#1]~\newline\text{}}{\end{exercise}\bigskip}
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\newtheorem{remark}[definition]{Remarque}
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\newenvironment{rem}[1][]{\begin{remark}[#1]~\newline\text{}}{\end{remark}\bigskip}
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\newtheorem{question}{Question}
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\newenvironment{q}{\begin{question}~\newline\text{}}{\end{question}\bigskip}
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\let\rawl\{
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\let\rawr\}
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\renewcommand{\{}{\left\rawl}
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\renewcommand{\}}{\right\rawr}
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\renewcommand{\le}{\leqslant}
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\renewcommand{\ge}{\geqslant}
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\newcommand{\dx}{\, \mathrm{d}x}
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\newcommand{\dy}{\, \mathrm{d}y}
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\newcommand{\dz}{\, \mathrm{d}z}
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\newcommand{\dt}{\, \mathrm{d}t}
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\newcommand{\dmu}{\, \mathrm{d}\mu}
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\newcommand{\dP}{\, \mathrm{d}\bbP}
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\newcommand{\bbP}{\mathbb{P}}
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\newcommand{\calP}{\mathcal{P}}
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\newcommand{\calF}{\mathcal{F}}
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\newcommand{\frakF}{\mathfrak{F}}
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\newcommand{\bbE}{\mathbb{E}}
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\newcommand{\calE}{\mathcal{E}}
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\newcommand{\calL}{\mathcal{L}}
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\newcommand{\calO}{\mathcal{O}}
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\newcommand{\N}{\mathbb{N}}
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\newcommand{\Z}{\mathbb{Z}}
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\newcommand{\Q}{\mathbb{Q}}
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\newcommand{\R}{\mathbb{R}}
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\newcommand{\Rbar}{\overline{\R}}
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\newcommand{\calR}{\mathcal{R}}
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\newcommand{\C}{\mathbb{C}}
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\newcommand{\calC}{\mathcal{C}}
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\newcommand{\Cbar}{\overline{\C}}
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\newcommand{\K}{\mathbb{K}}
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\newcommand{\intset}[2][1]{\left\llbracket {#1} , \, {#2} \right\rrbracket}
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\newcommand{\Card}{\mathrm{Card}}
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\newcommand{\A}{\mathcal{A}}
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\newcommand{\B}{\mathcal{B}}
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\renewcommand{\Re}{\mathfrak{Re}}
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\renewcommand{\Im}{\mathfrak{Im}}
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\newcommand{\dsum}{\displaystyle\sum}
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\newcommand{\dprod}{\displaystyle\prod}
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\newcommand{\dint}{\displaystyle\int}
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%\newcommand{\dbinom}{\displaystyle\binom}
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\newcommand{\doublebinom}[2]{\displaystyle\left(\!\!\binom{#1}{#2}\!\!\right)}
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\newcommand{\tend}[2]{\underset{#1 \to #2}{\longrightarrow}}
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\newcommand{\brkt}[1]{\left\langle {#1} \right\rangle}
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\newcommand{\scal}[2]{\left\langle {#1} \middle, {#2} \right\rangle}
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\newcommand{\bigslant}[2]{{\raisebox{.2em}{$#1$}\left/\raisebox{.2em}{$#2$}\right.}}
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\newcommand{\op}{_{\mathrm{op}}}
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\newcommand{\md}{\mathrm{d}}
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\newcommand{\fL}{\mathfrak{L}}
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\newcommand{\id}{\mathrm{id}}
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%\renewcommand{\thesection}{\Roman{section} --}
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%\renewcommand{\thesubsection}{\arabic{subsection} --}
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%\renewcommand{\thesubsubsection}{\arabic{subsection}.\arabic{subsubsection} --}
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\setlength\parindent{0pt}
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