<pre class="fichier">
<div class="variable">
\title\lbrac sommation 4 \rbrac 
\computeanswer\lbrac no \rbrac
\language\lbrac fr \rbrac
\author\lbrac Sophie Lemaire \rbrac 
\email\lbrac Sophie.Lemaire@math.u-psud.fr \rbrac 
\format</tt>\lbrac html \rbrac 
\integer</tt>\lbrac n=\randint(20<tt class="w">..</tt>40)*10 \rbrac 
\text</tt>\lbrac liste=somme simple sur l'indice \\(i), somme simple sur l'indice \\(j) \rbrac <tt class=comm>\\text</tt>\lbrac c=\item(1,\\liste) \rbrac <tt class=comm>\\text</tt>\lbrac d=\item(2,\\liste) \rbrac <tt class=comm>\\text</tt>\lbrac nb=1,2 \rbrac <tt class=comm>\\text</tt>\lbrac nstep=<tt class=reply>reply1</tt> \rbrac <tt class=comm>\\nextstep</tt>\lbrac \\nstep \rbrac </div>
<div class="statement">
\statement\lbrac Soit &#92;(E = \\\lbrac (i,j)\\in \\NN^2, i + j = \\n\\ \rbrac \\) et   
&#92;(\\\lbrac f(i,j), (i,j) \\in \\ZZ^2\\ \rbrac \\) 
une famille de rels positifs. &lt;p>
  <tt class=comm>\\if</tt>\lbrac \\step = 1 \rbrac\lbrac  1 - Pour exprimer la somme &#92;(\\sum_\lbrac (i,j)\\in E \rbrac f(i,j)) vous voulez : 
 &lt;ul> 
  &lt;li><tt class=comm>\\embed</tt>\lbrac <tt class=reply>reply1</tt>, 1 \rbrac &lt;/li>
  &lt;li><tt class=comm>\\embed</tt>\lbrac <tt class=reply>reply1</tt>, 2 \rbrac &lt;/li>

 &lt;/ul> 
<tt class="comm">\\exit</tt>\lbrac \rbrac  \rbrac <tt class=comm>\\if</tt>\lbrac \\step >= 2 \rbrac\lbrac  
  Compltez la formule ci-dessous :
     <tt class=comm>\\if</tt>\lbrac \\test1 <tt class="op">issametext</tt> \\c \rbrac\lbrac  
       &lt;table align="center">
       &lt;tr> &lt;td>&lt;/td>&lt;td><tt class=comm>\\embed</tt>\lbrac <tt class=reply>reply2</tt>, 5 \rbrac &lt;/td>&lt;td> &lt;/td>&lt;/tr>
       &lt;tr>&lt;td>&#92;(\\sum_\lbrac (i,j)\\in E \rbrac f(i,j))  = &lt;/td>
           &lt;td>&#92;(\\sum)&lt;/td>
           &lt;td>&#92;(f)(\\(i),<tt class=comm>\\embed</tt>\lbrac <tt class=reply>reply4</tt>, 5 \rbrac )&lt;/td>
       &lt;/tr>
       &lt;tr>&lt;td> &lt;/td>&lt;td>&#92;(i) = <tt class=comm>\\embed</tt>\lbrac <tt class=reply>reply3</tt>, 5 \rbrac &lt;/td> &lt;td>&lt;/td>&lt;/tr>
&lt;/table> \rbrac\lbrac  
   &lt;table align="center">
     &lt;tr>&lt;td>&lt;/td>&lt;td><tt class=comm>\\embed</tt>\lbrac <tt class=reply><tt class=reply>reply2</tt></tt>, 5 \rbrac &lt;/td>&lt;td> &lt;/td>&lt;/tr>
     &lt;tr>&lt;td>&#92;(\\sum_\lbrac (i,j)\\in E \rbrac f(i,j))  = &lt;/td>
         &lt;td>&#92;(\\sum)&lt;/td>
         &lt;td>\\(f)(<tt class=comm>\\embed</tt>\lbrac <tt class=reply><tt class=reply>reply5</tt></tt>, 5 \rbrac ,\\(j))&lt;/td>
    &lt;/tr>
    &lt;tr>&lt;td> &lt;/td>&lt;td>&#92;(j ) = 
          <tt class=comm>\\embed</tt>\lbrac <tt class=reply>reply3</tt>, 5 \rbrac &lt;/td>&lt;td>&lt;/td>&lt;/tr>
   &lt;/table> \rbrac  \rbrac  \rbrac </div>
<div class="variable">
\answer\lbrac \rbrac
  \lbrac \\test1;\\liste \rbrac\lbrac  <tt class="type">type=radio</tt> \rbrac\lbrac  <tt class="type">weight=0</tt> \rbrac <tt class=comm>\\answer</tt>\lbrac \rbrac\lbrac  \\n \rbrac\lbrac  <tt class="type">type=numeric</tt> \rbrac 
\answer\lbrac \rbrac\lbrac  0 \rbrac\lbrac  <tt class="type">type=numeric</tt> \rbrac 
\answer\lbrac \rbrac\lbrac  \\n-i,i,j \rbrac\lbrac  <tt class="type">type=function</tt> \rbrac 
\answer\lbrac \rbrac\lbrac  \\n-j,i,j \rbrac\lbrac  <tt class="type">type=function</tt> \rbrac <tt class=comm>\\text</tt>\lbrac nstep = (\\step = 2) <tt class="op">and</tt> (\\test1 <tt class="op">issametext</tt> \\c) ? <tt class=reply>reply2</tt>, <tt class=reply>reply3</tt>, <tt class=reply>reply4</tt> \rbrac <tt class=comm>\\text</tt>\lbrac nstep = (\\step = 2) <tt class="op">and</tt> (\\test1 <tt class="op">issametext</tt> \\d) ? <tt class=reply>reply2</tt>, <tt class=reply>reply3</tt>, <tt class=reply>reply5</tt> \rbrac <tt class=comm>\\feedback</tt>\lbrac (\\step >= 2) <tt class="op">and</tt> (\\test1 <tt class="op">issametext</tt> \\c) \rbrac\lbrac  
    &lt;i>NB : On peut aussi exprimer &#92;(\\sum_\lbrac (i,j)\\in E \rbrac f(i,j)\\)  l'aide d'\\d&lt;/i> \rbrac <tt class=comm>\\feedback</tt>\lbrac (\\step >= 2) <tt class="op">and</tt> (\\test1 <tt class="op">issametext</tt> \\d) \rbrac\lbrac  
    &lt;i>NB : On peut aussi exprimer &#92;(\\sum_\lbrac (i,j)\\in E \rbrac f(i,j)\\)  l'aide d'\\c&lt;/i> \rbrac <tt class=comm>\\feedback</tt>\lbrac  (\\step >= 2) <tt class="op">and</tt> (\\test1 <tt class="op">issametext</tt> \\c) <tt class="op">and</tt> j <tt class="op">isin</tt> \\reply4 \rbrac\lbrac  
Si vous dcidez d'exprimer cette somme double comme une somme simple en 
\\(i), pourquoi mettez-vous un \\(j) dans votre rponse ? \rbrac </div>
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