291 lines
10 KiB
TeX
291 lines
10 KiB
TeX
\begin{frame}
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\frametitle{Modèle}
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\begin{columns}
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\column{0.4\textwidth}
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\resizebox{\columnwidth}{!}{
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\begin{tikzpicture}[
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roundnode/.style={circle, draw=black, fill=black, very thick, minimum size=1pt,},
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arrow/.style={|->, thick,},
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]
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\node[roundnode] (p0) {};
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\node[left] at (p0.west) {$p_0$};
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\node[roundnode] (p1) [below=of p0] {};
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\node[left] at (p1.west) {$p_1$};
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\node[roundnode] (p2) [right=of p1] {};
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\node[right] at (p2.east) {$p_2$};
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\node[roundnode] (p3) [right=of p0] {};
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\node[right] at (p3.east) {$p_3$};
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\draw (p0) -- (p1);
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\draw (p0) -- (p2);
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\draw (p0) -- (p3);
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\draw (p1) -- (p2);
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\draw (p1) -- (p3);
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\draw (p2) -- (p3);
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\end{tikzpicture}
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}
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\column{0.6\textwidth}
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\begin{block}{Prérequis}
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\begin{itemize}
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\item Tous les nœuds du système sont fortement connectés
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\item Le système n'est pas partitionnable
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\item Les nœuds sont asynchrones
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\item Les nœuds ne peuvent pas être défaillants
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\item Les nœuds ne peuvent pas être malicieux
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\end{itemize}
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\end{block}
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\end{columns}
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\end{frame}
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\begin{frame}
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\frametitle{Modèle}
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\begin{columns}
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\column{0.4\textwidth}
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\centering
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\resizebox{0.75\columnwidth}{!}{
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\begin{tikzpicture}[
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roundnode/.style={circle, draw=black, fill=black, very thick, minimum size=1pt,},
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]
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\node[roundnode] (p0) {};
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\node[left] at (p0.west) {$p_0$};
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\onslide<3> {
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\node[above] at (p0.north) {$\textcolor{red}{w(1)}$};
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}
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\onslide<7> {
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\node[above] at (p0.north) {$\textcolor{red}{r/(1,2)^w}$};
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}
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\node[roundnode] (p1) [below=of p0] {};
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\node[left] at (p1.west) {$p_1$};
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\onslide<2> {
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\node[below] at (p1.south) {$\textcolor{red}{r/(0,0)}$};
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}
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\onslide<5> {
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\node[below] at (p1.south) {$\textcolor{red}{w(2)}$};
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}
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\onslide<6> {
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\node[below] at (p1.south) {$\textcolor{red}{r/(1,2)}$};
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}
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\onslide<7> {
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\node[below] at (p1.south) {$\textcolor{red}{r/(1,2)^w}$};
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}
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\node[roundnode] (p2) [right=of p1] {};
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\node[right] at (p2.east) {$p_2$};
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\onslide<4> {
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\node[below] at (p2.south) {$\textcolor{red}{r/(0,1)}$};
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}
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\onslide<6> {
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\node[below] at (p2.south) {$\textcolor{red}{r/(1,2)}$};
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}
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\onslide<7> {
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\node[below] at (p2.south) {$\textcolor{red}{r/(1,2)^w}$};
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}
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\node[roundnode] (p3) [right=of p0] {};
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\node[right] at (p3.east) {$p_3$};
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\onslide<4> {
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\node[above] at (p3.north) {$\textcolor{red}{r/(0,1)}$};
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}
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\onslide<5> {
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\node[above] at (p3.north) {$\textcolor{red}{w(1)}$};
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}
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\onslide<6> {
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\node[above] at (p3.north) {$\textcolor{red}{r/(1,1)}$};
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}
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\onslide<7> {
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\node[above] at (p3.north) {$\textcolor{red}{r/(1,2)^w}$};
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}
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\draw (p0) -- (p1);
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\draw (p0) -- (p2);
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\draw (p0) -- (p3);
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\draw (p1) -- (p2);
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\draw (p1) -- (p3);
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\draw (p2) -- (p3);
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\end{tikzpicture}
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}
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\column{\textheight}
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\begin{tabular}{l}
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$p_0 = \onslide<3->{w(1)} \onslide<7->{\bullet r/(1,2)^w}$ \\
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$p_1 = \onslide<2->{r/(0,0)} \onslide<5->{\bullet w(2)} \onslide<6->{\bullet r/(1,2)} \onslide<7->{\bullet r/(1,2)^w}$ \\
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$p_2 = \onslide<4->{r/(0,1)} \onslide<6->{\bullet r/(1,2)} \onslide<7->{\bullet r/(1,2)^w}$ \\
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$p_3 = \onslide<4->{r/(0,1)} \onslide<5->{\bullet w(1)} \onslide<6->{\bullet r/(1,1)} \onslide<7->{\bullet r/(1,2)^w}$ \\
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\end{tabular}
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\end{columns}
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\centering
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\resizebox{!}{\height}{
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\begin{tikzpicture}[
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roundnode/.style={circle, draw=black, fill=black, very thick, minimum size=1pt,},
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ignorednode/.style={circle, draw=black!20, fill=black!20, very thick, minimum size=1pt,},
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invisiblenode/.style={circle, draw=white, fill=white, very thick, minimum size=1pt,},
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arrow/.style={|->, thick,},
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message/.style={->, blue!50, dashed, -{Circle[length=4pt,]}},
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]
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\node[roundnode] (p00) {};
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\node[left] at (p00.west) {$p_0$};
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\node[above] at (p00.north) {$\{0\}$};
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\node[roundnode] (p10) [below=20pt of p00] {};
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\node[left] at (p10.west) {$p_1$};
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\node[above] at (p10.north) {$\{0\}$};
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\node[roundnode] (p20) [below=20pt of p10] {};
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\node[left] at (p20.west) {$p_2$};
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\node[above] at (p20.north) {$\{0\}$};
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\node[roundnode] (p30) [below=20pt of p20] {};
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\node[left] at (p30.west) {$p_3$};
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\node[above] at (p30.north) {$\{0\}$};
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\pause
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\node[roundnode] (p01) [right=of p00] {};
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\node[above] at (p01.north) {$\{1\}$};
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\draw[arrow] (p00) -- node[above] {tata} (p01);
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% \onslide<3->{
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% \node[roundnode] (11) {};
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% \node[left] at (11.west) {$p_0$};
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% \node[above] at (11.north) {$w(1)$};
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% }
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% \onslide<7-> {
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% \node[roundnode] (12) [right=of 11] {};
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% \node[above] at (12.north) {$r/(1,2)^w$};
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% \draw[arrow] (11) -- (12);
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% }
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% \onslide<2-> {
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% \node[roundnode] (21) [below=20pt of 11] {};
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% \node[left] at (21.west) {$p_1$};
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% \node[above] at (21.north) {$r/(0,0)$};
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% }
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% \onslide<5-> {
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% \node[roundnode] (22) [right=of 21] {};
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% \node[above] at (22.north) {$w(2)$};
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% \draw[arrow] (21) -- (22);
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% }
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% \onslide<6-> {
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% \node[roundnode] (23) [right=of 22] {};
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% \node[above] at (23.north) {$r/(1,2)$};
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% \draw[arrow] (21) -- (23);
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% }
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% \onslide<7-> {
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% \node[roundnode] (24) [right=of 23] {};
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% \node[above] at (24.north) {$r/(1,2)^w$};
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% \draw[arrow] (21) -- (24);
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% }
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% \onslide<4-> {
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% \node[roundnode] (31) [below=20pt of 21] {};
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% \node[left] at (31.west) {$p_2$};
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% \node[above] at (31.north) {$r/(0,1)$};
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% }
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% \onslide<6-> {
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% \node[roundnode] (32) [right=of 31] {};
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% \node[above] at (32.north) {$r/(1,2)$};
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% \draw[arrow] (31) -- (32);
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% }
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% \onslide<7-> {
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% \node[roundnode] (33) [right=of 32] {};
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% \node[above] at (33.north) {$r/(1,2)^w$};
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% \draw[arrow] (31) -- (33);
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% }
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% \onslide<4-> {
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% \node[roundnode] (41) [below=20pt of 31] {};
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% \node[left] at (41.west) {$p_3$};
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% \node[above] at (41.north) {$r/(0,1)$};
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% }
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% \onslide<5-> {
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% \node[roundnode] (42) [right=of 41] {};
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% \node[above] at (42.north) {$w(1)$};
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% \draw[arrow] (41) -- (42);
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% }
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% \onslide<6-> {
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% \node[roundnode] (43) [right=of 42] {};
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% \node[above] at (43.north) {$r/(1,1)$};
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% \draw[arrow] (41) -- (43);
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% }
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% \onslide<7-> {
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% \node[roundnode] (44) [right=of 43] {};
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% \node[above] at (44.north) {$r/(1,2)^w$};
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% \draw[arrow] (41) -- (44);
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% }
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\end{tikzpicture}
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}
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\end{frame}
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\begin{frame}
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\frametitle{Modèle}
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\resizebox{\columnwidth}{!}{
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\begin{tikzpicture}[
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roundnode/.style={circle, draw=black, fill=black, very thick, minimum size=1pt,},
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ignorednode/.style={circle, draw=black!20, fill=black!20, very thick, minimum size=1pt,},
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arrow/.style={|->, thick,},
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message/.style={->, blue!50, dashed, -{Circle[length=4pt,]}},
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]
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\node[roundnode] (11) {};
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\node[left] at (11.west) {$p_0$};
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\node[above] at (11.north) {$w(1)$};
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\node[roundnode] (12) [right=of 11] {};
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\node[above] at (12.north) {$I(a)$};
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\node[roundnode] (13) [right=of 12] {};
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\node[above] at (13.north) {$r/(0,1)$};
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\node[roundnode] (14) [right=of 13] {};
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\node[above] at (14.north) {$r/(1,2)^w$};
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\draw[arrow] (11) -- (12);
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\draw[arrow] (12) -- (13);
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\draw[arrow] (13) -- (14);
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\node[roundnode] (21) [below=of 11] {};
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\node[left] at (21.west) {$p_1$};
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\node[below] at (21.south) {$w(2)$};
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\node[roundnode] (22) [right=of 21] {};
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\node[below] at (22.south) {$R/\emptyset$};
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\node[roundnode] (23) [right=of 22] {};
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\node[below] at (23.south) {$r/(0,2)$};
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\node[roundnode] (24) [right=of 23] {};
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\node[below] at (24.south) {$r/(1,2)^w$};
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\draw[arrow] (21) -- (22);
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\draw[arrow] (22) -- (23);
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\draw[arrow] (23) -- (24);
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\end{tikzpicture}
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}
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\end{frame} |