2019-2020/1ST/Suites/Evolution_discrete/1B_evolutions.tex
2020-05-05 09:53:14 +02:00

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\documentclass[a4paper,10pt]{article}
\usepackage{myXsim}
\usepackage{booktabs}
\author{}
\title{Évolution successives: bilan}
\date{Octobre 2019}
\pagestyle{empty}
\newcommand\cours{%
\begin{minipage}{0.5\textwidth}
\section*{Évolution arithmétique}
\begin{tikzpicture}[
roundnode/.style={circle, draw=green!60, fill=green!5, very thick, minimum size=7mm},
squarednode/.style={rectangle, draw=red!60, fill=red!5, very thick, minimum size=5mm},
]
%Nodes
\node[roundnode] (leftterme) {\np{10000}};
\node[roundnode] (centerterm) [right=of leftterme] {\makebox[1.2cm]{}};
\node[roundnode] (rightterm) [right=of centerterm] {\makebox[1.2cm]{}};
%Lines
\draw[->] (leftterme.east) -- (centerterm.west) node [midway, above] {+1700};
\draw[->] (centerterm.east) -- (rightterm.west) node [midway, above] {+1700};
\end{tikzpicture}
On \textbf{ajoute} (ou soustrait) la même quantité à chaque étape.
\section*{Évolution géométrique}
\begin{tikzpicture}[
roundnode/.style={circle, draw=green!60, fill=green!5, very thick, minimum size=7mm},
squarednode/.style={rectangle, draw=red!60, fill=red!5, very thick, minimum size=5mm},
]
%Nodes
\node[roundnode] (leftterme) {\np{10000}};
\node[roundnode] (centerterm) [right=of leftterme] {\makebox[1.2cm]{}};
\node[roundnode] (rightterm) [right=of centerterm] {\makebox[1.2cm]{}};
%Lines
\draw[->] (leftterme.east) -- (centerterm.west) node [midway, above] {$\times 1.09$};
\draw[->] (centerterm.east) -- (rightterm.west) node [midway, above] {$\times 1.09$};
\end{tikzpicture}
On \textbf{multiplie} (ou divise) par le même nombre à chaque étape.
\paragraph{Remarque:} Une évolution en \% correspond à une évolution géométrique.
\end{minipage}
\begin{minipage}{0.5\textwidth}
\includegraphics[scale=0.7]{./fig/graph_placement}
\end{minipage}
}
\begin{document}
\cours
\vfill
\cours
\vfill
\end{document}