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</o:shapelayout></xml><![endif]--></head><body bgcolor=white lang=FR link=blue vlink=purple><div class=WordSection1><p class=MsoNormal><span lang=EN-US style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>Dear All<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>Additional « silly » question : in the system herebellow, the solver finds 4 values (1 per variable), but we know there’s 4 couples of results due to the 2<sup>nd</sup> order ; of course the values depend on the starting point<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>I feel there’s a strategy in order to find all the solution but I don’t know (or I don’t remember) how to proceed : any advice or reading in order to solve such kind of system ?<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>Thanks<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'><o:p> </o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'>Paul<o:p></o:p></span></p><p class=MsoNormal><span lang=EN-US style='font-size:11.0pt;font-family:"Calibri","sans-serif";color:#1F497D'><o:p> </o:p></span></p><div><div style='border:none;border-top:solid #B5C4DF 1.0pt;padding:3.0pt 0cm 0cm 0cm'><p class=MsoNormal><b><span style='font-size:10.0pt;font-family:"Tahoma","sans-serif";color:windowtext'>De :</span></b><span style='font-size:10.0pt;font-family:"Tahoma","sans-serif";color:windowtext'> users-bounces@lists.scilab.org [mailto:users-bounces@lists.scilab.org] <b>De la part de</b> Radovan Omorjan<br><b>Envoyé :</b> lundi 2 septembre 2013 17:32<br><b>À :</b> International users mailing list for Scilab.<br><b>Objet :</b> Re: [Scilab-users] use of fsolve<o:p></o:p></span></p></div></div><p class=MsoNormal><o:p> </o:p></p><div><p class=MsoNormal>Hello,<br><br>If you have some additional parameters in your function like this <br><br>f(x,a,b..)=0<br> <br>searching x, then use list() in fsolve() calling with the function name as the first argument and parameters as subsequent arguments - like this f.e.<o:p></o:p></p><pre><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#32B9B9'>clc</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'>, </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#32B9B9'>clear</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'><o:p></o:p></span></pre><pre><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#B01813'>function</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>f</span></b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>=</span><u><span style='font-size:10.5pt;font-family:"Monospaced","serif"'>foo</span></u><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:10.5pt;font-family:"Monospaced","serif"'>, </span><b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>cst</span></b><span style='font-size:10.5pt;font-family:"Monospaced","serif"'>, </span><b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>R_</span></b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'><o:p></o:p></span></pre><pre><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>f</span></b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>1</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>=</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>3</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>cst</span></b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>3</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>*</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'>3</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>1</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>+</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>4</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>cst</span></b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>4</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>*</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(x(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>4</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> ;<o:p></o:p></span></pre><pre><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>f</span></b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>=</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>1</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>cst</span></b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>1</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>*</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'>3</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>1</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>+</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>cst</span></b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>*</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(x(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>4</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> ;<o:p></o:p></span></pre><pre><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>f</span></b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>3</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>=</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>1</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>cst</span></b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>1</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>^</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>+</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>x</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>cst</span></b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>^</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>R_</span></b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>1</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>^</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> ;<o:p></o:p></span></pre><pre><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>f</span></b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>4</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>=</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>3</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>cst</span></b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>3</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>^</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>+</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>x</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>4</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>cst</span></b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>4</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>^</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#834310'>R_</span></b><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>^</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> ;<o:p></o:p></span></pre><pre><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#B01813'>endfunction</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'><o:p></o:p></span></pre><pre><span style='font-size:10.5pt;font-family:"Monospaced","serif"'><o:p> </o:p></span></pre><pre><i><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#64AE64'>// constants</span></i><span style='font-size:10.5pt;font-family:"Monospaced","serif"'><o:p></o:p></span></pre><pre><span style='font-size:10.5pt;font-family:"Monospaced","serif"'>a </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>=</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>[</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>106</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> ; </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>30</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> ; </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>54</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> ; </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>15</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>]</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><i><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#64AE64'>//a would be cst</span></i><span style='font-size:10.5pt;font-family:"Monospaced","serif"'><o:p></o:p></span></pre><pre><span style='font-size:10.5pt;font-family:"Monospaced","serif"'>b </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>=</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>[</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>9</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> ; </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>9</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>]</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><i><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#64AE64'>//b would be R_</span></i><span style='font-size:10.5pt;font-family:"Monospaced","serif"'><o:p></o:p></span></pre><pre><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> <o:p></o:p></span></pre><pre><i><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#64AE64'>//Initial guess </span></i><span style='font-size:10.5pt;font-family:"Monospaced","serif"'><o:p></o:p></span></pre><pre><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> x1 </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>=</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#32B9B9'>zeros</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>4</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'>,</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:rosybrown'>1</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'><o:p></o:p></span></pre><pre><span style='font-size:10.5pt;font-family:"Monospaced","serif"'><o:p> </o:p></span></pre><pre><i><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#64AE64'>// calculation using fsolve</span></i><span style='font-size:10.5pt;font-family:"Monospaced","serif"'><o:p></o:p></span></pre><pre><i><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#64AE64'>// ind - termination indicator</span></i><span style='font-size:10.5pt;font-family:"Monospaced","serif"'><o:p></o:p></span></pre><pre><i><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#64AE64'>// x - solution</span></i><span style='font-size:10.5pt;font-family:"Monospaced","serif"'><o:p></o:p></span></pre><pre><i><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#64AE64'>// f - function values at the solution</span></i><span style='font-size:10.5pt;font-family:"Monospaced","serif"'><o:p></o:p></span></pre><pre><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>[</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'>x,f,ind</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>]</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#5C5C5C'>=</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'> </span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#32B9B9'>fsolve</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'>x1,</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#32B9B9'>list</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><u><span style='font-size:10.5pt;font-family:"Monospaced","serif"'>foo</span></u><span style='font-size:10.5pt;font-family:"Monospaced","serif"'>,a,b</span><span style='font-size:10.5pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:10.5pt;font-family:"Monospaced","serif"'><o:p></o:p></span></pre><p class=MsoNormal>Regards,<br>Radovan<br><br>On 9/2/2013 3:32 PM, Carrico, Paul wrote:<o:p></o:p></p></div><blockquote style='margin-top:5.0pt;margin-bottom:5.0pt'><div><pre><span style='font-size:12.0pt;font-family:"Calibri","sans-serif"'>Dear All</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'><o:p></o:p></span></pre><pre><span style='font-size:12.0pt;font-family:"Calibri","sans-serif"'>A basic question : what is the correct synthax is order to call the constants cst and R_ in the foo function ? do I need to use "global" variable ?</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'><o:p></o:p></span></pre><pre><span style='font-size:12.0pt;font-family:"Calibri","sans-serif"'>Thanks</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'><o:p></o:p></span></pre><pre><span style='font-size:12.0pt;font-family:"Calibri","sans-serif"'>Paul</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'><o:p></o:p></span></pre><pre><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#B01813'>function</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>[</span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>f</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>, </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>ind</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>]</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>=</span><u><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>foo</span></u><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>, </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>cst</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>, </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>R_</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>, </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>ind</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'><o:p></o:p></span></pre><pre><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>f</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>1</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>=</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>3</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>cst</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>3</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>*</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>3</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>1</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>+</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>4</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>cst</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>4</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>*</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>(</span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>4</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> ;<o:p></o:p></span></pre><pre><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>f</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>=</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>1</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>cst</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>1</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>*</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>3</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>1</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>+</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>cst</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>*</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>(</span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>4</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> ;<o:p></o:p></span></pre><pre><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>f</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>3</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>=</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>1</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>cst</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>1</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>^</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>+</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>cst</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>^</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>R_</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>1</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>^</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> ;<o:p></o:p></span></pre><pre><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>f</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>4</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>=</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>3</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>cst</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>3</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>^</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>+</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>4</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>cst</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>4</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>^</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>R_</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>^</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> ;<o:p></o:p></span></pre><pre><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#B01813'>endfunction</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'><o:p></o:p></span></pre><pre><span style='font-size:9.0pt;font-family:"Monospaced","serif"'><o:p> </o:p></span></pre><pre><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#B01813'>function</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>[</span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>f</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>, </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>ind</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>]</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>=</span><u><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>foo2</span></u><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>, </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>ind</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'><o:p></o:p></span></pre><pre><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> cst </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>=</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>[</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>106</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> ; </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>30</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> ; </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>54</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> ; </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>15</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>]</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'><o:p></o:p></span></pre><pre><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> R_ </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>=</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>[</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>9</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> ; </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>9</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>]</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'><o:p></o:p></span></pre><pre><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>f</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>1</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>=</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>3</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'> cst</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>3</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>*</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>3</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>1</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>+</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>4</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>cst</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>4</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>*</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>x</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>4</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>;</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'><o:p></o:p></span></pre><pre><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>f</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>=</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>1</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>cst</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>1</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>*</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>3</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>1</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>+</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>cst</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>*</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>x</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>4</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>;</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'><o:p></o:p></span></pre><pre><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>f</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>3</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>=</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>1</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>cst</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>1</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>^</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>2 </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>+</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x(</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>cst</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>^</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>2 </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>R_</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>1</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>^</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>2 </span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>;</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'><o:p></o:p></span></pre><pre><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>f</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>4</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>=</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>3</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>cst</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>3</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>^</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>2 </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>+</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#834310'>x(</span></b><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>4</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>cst</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>4</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>))</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>^</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>2 </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>-</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>R_</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>2</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>^</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>2 </span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>;</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'><o:p></o:p></span></pre><pre><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#B01813'>endfunction</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'><o:p></o:p></span></pre><pre><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'><o:p> </o:p></span></pre><pre><i><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#64AE64'>// constants</span></i><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'><o:p></o:p></span></pre><pre><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>cst</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>=</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>[</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>106 </span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>;</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> 30 </span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>;</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> 54 </span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>;</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> 15</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>]</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'><o:p></o:p></span></pre><pre><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>R_</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>=</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>[</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>9 </span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>;</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> 9</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>]</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'><o:p></o:p></span></pre><pre><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'><o:p> </o:p></span></pre><pre><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>x0</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>=</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>cst</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'><o:p></o:p></span></pre><pre><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>x1</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>=</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#32B9B9'>zeros</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>4</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>,</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'>1</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'><o:p></o:p></span></pre><pre><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'><o:p> </o:p></span></pre><pre><i><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#64AE64'>// calculationusing fsolve</span></i><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'><o:p></o:p></span></pre><pre><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>T1</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>=</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#32B9B9'>fsolve</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>x0,<u>foo</u></span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'><o:p></o:p></span></pre><pre><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>T2</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#5C5C5C'>=</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'> </span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#32B9B9'>fsolve</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>(</span><span style='font-size:9.0pt;font-family:"Monospaced","serif"'>x1,<u>foo2</u></span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:#4A55DB'>)</span><span style='font-size:9.0pt;font-family:"Monospaced","serif";color:rosybrown'><o:p></o:p></span></pre></div><div><p class=MsoNormal><span style='color:rosybrown'> <o:p></o:p></span></p></div><pre><span style='color:rosybrown'>--------------------------------------------------------------------------------<o:p></o:p></span></pre><pre><span style='color:rosybrown'><o:p> </o:p></span></pre><pre><span style='color:rosybrown'><o:p> </o:p></span></pre><pre><span style='color:rosybrown'>Le présent mail et ses pièces jointes sont confidentiels et destinés à la personne ou aux 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