!!abstract,linked gloses,internal links,content,dynamic examples,...
!set gl_author=Euler, Acadmie de Versailles
!set gl_keywords=
!set gl_title=Produit cartsien
!set gl_level=H6 
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<div class="wims_defn">
<h4>Dfinition</h4>
<p>Soit \(A\) et \(B\) deux ensembles.<br>
On appelle <strong>produit cartsien</strong> de \(A\) par <span class = "nowrap">\(B\),</span> not <span class = "nowrap">\(A \times B\),</span> l'ensemble des couples \((a , b)\) d'lments de \(A \cup B\)  tels que \(a \in A\) et <span class = "nowrap">\(b \in B\).</span></p>
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<div class="wims_rem">
<h4>Remarque</h4>
<p>Soit \(A\) un ensemble .<br>
On note \(A^2\)  le produit cartsien <span class = "nowrap">\(A \times A\).</span>
</p>
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<div class="wims_defn">
<h4>Dfinition</h4>
<p>Soit \(n\) un entier suprieur ou gal  2.<br>
On appelle <strong>produit cartsien</strong> des ensembles <span class = "nowrap">\(A_1\),</span> <span class = "nowrap">\(A_2\),...,</span><span class = "nowrap">\(A_n\),</span> not <span class = "nowrap">\(A_1\times A_2 \times \dots \times A_n\),</span> l'ensembles des <span class = "nowrap">\(n\)-uplets</span> \(\big(a_1,a_2,\dots,a_n\big)\) tels que <span class = "nowrap">\(a_1 \in A_1\),</span> <span class = "nowrap">\(a_2 \in A_2\),...,</span><span class = "nowrap">\(a_n \in A_n\).</span> 
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