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b/1ST/06_Generalite_sur_les_suites/1B_covid.tex new file mode 100644 index 0000000..90cb23b --- /dev/null +++ b/1ST/06_Generalite_sur_les_suites/1B_covid.tex @@ -0,0 +1,108 @@ +\documentclass[a4paper,10pt]{article} +\usepackage{myXsim} + +\author{Benjamin Bertrand} +\title{Généralité suite - Cours} +\date{Février 2023} + +\pagestyle{empty} + +\begin{document} + +\maketitle + +\section{Modélisation avec des suites} + +En se basant sur les premières données de malade du covid19, nous avons cherché à prédire le nombre de contaminés les jours suivants. + +\begin{center} + \begin{tabular}{|l|c|}\hline% + \bfseries Jour & \bfseries Nombre de cas + \csvreader[head to column names]{./covid_0226_0301.csv}{}% + {\\\jours & \cas}% + \\\hline + \end{tabular} + + \smallskip + \textbf{Document:} Nombre de cas cumulé de covid +\end{center} + +Pour cela, nous avons étudié deux modèles + +\bigskip +\begin{minipage}{0.5\textwidth} + \begin{center} + Modèle 1: Linéaire + \end{center} + + \begin{tikzpicture}[ + roundnode/.style={circle, draw=highlightbg, fill=green!5, very thick, minimum size=3mm}, + ] + %Nodes + \node[roundnode] (leftterme) {\makebox[0.5cm]{}}; + \node[roundnode] (centerterm) [right=of leftterme] {\makebox[0.5cm]{}}; + + %Lines + \path[->] (leftterme.east) edge [bend left] node [above] {$+$....} (centerterm.west); + \end{tikzpicture} + \hspace{1cm} + $ u_{n+1} = u_n + .... $ + + \medskip + + C'est une suite \textbf{arithmétique}. + + \medskip + \begin{center} + \includegraphics[scale=0.3]{./fig/covid_arith} + + \medskip + + \begin{tikzpicture}[baseline=(a.north), xscale=1, yscale=1] + \tkzInit[xmin=0,xmax=5,xstep=1, + ymin=0,ymax=5,ystep=1] + \tkzDrawX[noticks] + \tkzDrawY[noticks] + \end{tikzpicture} + \end{center} +\end{minipage} +\begin{minipage}{0.5\textwidth} + \begin{center} + Modèle 2: Exponentiel + \end{center} + + \begin{tikzpicture}[ + roundnode/.style={circle, draw=highlightbg, fill=green!5, very thick, minimum size=3mm}, + ] + %Nodes + \node[roundnode] (leftterme) {\makebox[0.5cm]{}}; + \node[roundnode] (centerterm) [right=of leftterme] {\makebox[0.5cm]{}}; + + %Lines + \path[->] (leftterme.east) edge [bend left] node [above] {$\times$....} (centerterm.west); + \end{tikzpicture} + \hspace{1cm} + $ u_{n+1} = u_n \times .... $ + + \medskip + + C'est une suite \textbf{géométrique}. + + \medskip + \begin{center} + \includegraphics[scale=0.2]{./fig/corid_geo} + + \medskip + + \begin{tikzpicture}[baseline=(a.north), xscale=1, yscale=1] + \tkzInit[xmin=0,xmax=5,xstep=1, + ymin=0,ymax=5,ystep=1] + \tkzDrawX[noticks] + \tkzDrawY[noticks] + \end{tikzpicture} + \end{center} +\end{minipage} + +\afaire{Tracer l'allure du graphique et compléter les pointillés.} + +\end{document} diff --git a/1ST/06_Generalite_sur_les_suites/fig/corid_geo.png b/1ST/06_Generalite_sur_les_suites/fig/corid_geo.png new file mode 100644 index 0000000000000000000000000000000000000000..22012a1ee728e2887ee2040535316d5e32998f28 GIT binary patch literal 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