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<div class="moz-cite-prefix">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.<br>
<pre style="font-family:Monospaced;font-style:normal;font-size:14.0;"><span style="color:rgb(50,185,185);">clc</span><span style="color:rgb(0,0,0);">,</span> <span style="color:rgb(50,185,185);">clear</span>
<span style="color:rgb(176,24,19);">function</span> <span style="color:rgb(131,67,16);font-weight:bold;">f</span><span style="color:rgb(92,92,92);">=</span><span style="color:rgb(0,0,0);text-decoration:underline;">foo</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(131,67,16);font-weight:bold;">x</span><span style="color:rgb(0,0,0);">, </span><span style="color:rgb(131,67,16);font-weight:bold;">cst</span><span style="color:rgb(0,0,0);">, </span><span style="color:rgb(131,67,16);font-weight:bold;">R_</span><span style="color:rgb(74,85,219);">)</span>
<span style="color:rgb(131,67,16);font-weight:bold;">f</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(74,85,219);">)</span> <span style="color:rgb(92,92,92);">=</span> <span style="color:rgb(74,85,219);">(</span><span style="color:rgb(131,67,16);font-weight:bold;">x</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">3</span><span style="color:rgb(74,85,219);">)</span> <span style="color:rgb(92,92,92);">-</span> <span style="color:rgb(131,67,16);font-weight:bold;">cst</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">3</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(92,92,92);">*</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(131,67,16);font-weight:bold;">x</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,14
3,143);
">3</span><span style="color:rgb(74,85,219);">)</span> <span style="color:rgb(92,92,92);">-</span> <span style="color:rgb(131,67,16);font-weight:bold;">x</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(74,85,219);">)</span> <span style="color:rgb(92,92,92);">+</span> <span style="color:rgb(74,85,219);">(</span><span style="color:rgb(131,67,16);font-weight:bold;">x</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">4</span><span style="color:rgb(74,85,219);">)</span> <span style="color:rgb(92,92,92);">-</span> <span style="color:rgb(131,67,16);font-weight:bold;">cst</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">4</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(92,92,92);">*</span><span style="color:rgb(74,85,219);">(</
span><sp
an style="color:rgb(131,67,16);font-weight:bold;">x</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">4</span><span style="color:rgb(74,85,219);">)</span> <span style="color:rgb(92,92,92);">-</span> <span style="color:rgb(131,67,16);font-weight:bold;">x</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">2</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(74,85,219);">)</span> <span style="color:rgb(0,0,0);">;</span>
<span style="color:rgb(131,67,16);font-weight:bold;">f</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">2</span><span style="color:rgb(74,85,219);">)</span> <span style="color:rgb(92,92,92);">=</span> <span style="color:rgb(74,85,219);">(</span><span style="color:rgb(131,67,16);font-weight:bold;">x</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(74,85,219);">)</span> <span style="color:rgb(92,92,92);">-</span> <span style="color:rgb(131,67,16);font-weight:bold;">cst</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(92,92,92);">*</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(131,67,16);font-weight:bold;">x</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,14
3,143);
">3</span><span style="color:rgb(74,85,219);">)</span> <span style="color:rgb(92,92,92);">-</span> <span style="color:rgb(131,67,16);font-weight:bold;">x</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(74,85,219);">)</span> <span style="color:rgb(92,92,92);">+</span> <span style="color:rgb(74,85,219);">(</span><span style="color:rgb(131,67,16);font-weight:bold;">x</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">2</span><span style="color:rgb(74,85,219);">)</span> <span style="color:rgb(92,92,92);">-</span> <span style="color:rgb(131,67,16);font-weight:bold;">cst</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">2</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(92,92,92);">*</span><span style="color:rgb(74,85,219);">(</
span><sp
an style="color:rgb(131,67,16);font-weight:bold;">x</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">4</span><span style="color:rgb(74,85,219);">)</span> <span style="color:rgb(92,92,92);">-</span> <span style="color:rgb(131,67,16);font-weight:bold;">x</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">2</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(74,85,219);">)</span> <span style="color:rgb(0,0,0);">;</span>
<span style="color:rgb(131,67,16);font-weight:bold;">f</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">3</span><span style="color:rgb(74,85,219);">)</span> <span style="color:rgb(92,92,92);">=</span> <span style="color:rgb(74,85,219);">(</span><span style="color:rgb(131,67,16);font-weight:bold;">x</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(74,85,219);">)</span> <span style="color:rgb(92,92,92);">-</span> <span style="color:rgb(131,67,16);font-weight:bold;">cst</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(92,92,92);">^</span><span style="color:rgb(188,143,143);">2</span> <span style="color:rgb(92,92,92);">+</span> <span style="color:rgb(74,85,219);">(</span><span style="color:rgb(131,67,16);font-weig
ht:bold
;">x</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">2</span><span style="color:rgb(74,85,219);">)</span> <span style="color:rgb(92,92,92);">-</span> <span style="color:rgb(131,67,16);font-weight:bold;">cst</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">2</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(92,92,92);">^</span><span style="color:rgb(188,143,143);">2</span> <span style="color:rgb(92,92,92);">-</span> <span style="color:rgb(131,67,16);font-weight:bold;">R_</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(92,92,92);">^</span><span style="color:rgb(188,143,143);">2</span> <span style="color:rgb(0,0,0);">;</span>
<span style="color:rgb(131,67,16);font-weight:bold;">f</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">4</span><span style="color:rgb(74,85,219);">)</span> <span style="color:rgb(92,92,92);">=</span> <span style="color:rgb(74,85,219);">(</span><span style="color:rgb(131,67,16);font-weight:bold;">x</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">3</span><span style="color:rgb(74,85,219);">)</span> <span style="color:rgb(92,92,92);">-</span> <span style="color:rgb(131,67,16);font-weight:bold;">cst</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">3</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(92,92,92);">^</span><span style="color:rgb(188,143,143);">2</span> <span style="color:rgb(92,92,92);">+</span> <span style="color:rgb(74,85,219);">(</span><span style="color:rgb(131,67,16);font-weig
ht:bold
;">x</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">4</span><span style="color:rgb(74,85,219);">)</span> <span style="color:rgb(92,92,92);">-</span> <span style="color:rgb(131,67,16);font-weight:bold;">cst</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">4</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(92,92,92);">^</span><span style="color:rgb(188,143,143);">2</span> <span style="color:rgb(92,92,92);">-</span> <span style="color:rgb(131,67,16);font-weight:bold;">R_</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">2</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(92,92,92);">^</span><span style="color:rgb(188,143,143);">2</span> <span style="color:rgb(0,0,0);">;</span>
<span style="color:rgb(176,24,19);">endfunction</span>
<span style="color:rgb(100,174,100);font-style:italic;">// constants</span>
<span style="color:rgb(0,0,0);">a</span> <span style="color:rgb(92,92,92);">=</span> <span style="color:rgb(74,85,219);">[</span><span style="color:rgb(188,143,143);">106</span> <span style="color:rgb(0,0,0);">;</span> <span style="color:rgb(188,143,143);">30</span> <span style="color:rgb(0,0,0);">;</span> <span style="color:rgb(188,143,143);">54</span> <span style="color:rgb(0,0,0);">;</span> <span style="color:rgb(188,143,143);">15</span><span style="color:rgb(74,85,219);">]</span> <span style="color:rgb(100,174,100);font-style:italic;">//a would be cst</span>
<span style="color:rgb(0,0,0);">b</span> <span style="color:rgb(92,92,92);">=</span> <span style="color:rgb(74,85,219);">[</span><span style="color:rgb(188,143,143);">9</span> <span style="color:rgb(0,0,0);">;</span> <span style="color:rgb(188,143,143);">9</span><span style="color:rgb(74,85,219);">]</span> <span style="color:rgb(100,174,100);font-style:italic;">//b would be R_</span>
<span style="color:rgb(100,174,100);font-style:italic;">//Initial guess </span>
<span style="color:rgb(0,0,0);">x1</span> <span style="color:rgb(92,92,92);">=</span> <span style="color:rgb(50,185,185);">zeros</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(188,143,143);">4</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(188,143,143);">1</span><span style="color:rgb(74,85,219);">)</span>
<span style="color:rgb(100,174,100);font-style:italic;">// calculation using fsolve</span>
<span style="color:rgb(100,174,100);font-style:italic;">// ind - termination indicator</span>
<span style="color:rgb(100,174,100);font-style:italic;">// x - solution</span>
<span style="color:rgb(100,174,100);font-style:italic;">// f - function values at the solution</span>
<span style="color:rgb(74,85,219);">[</span><span style="color:rgb(0,0,0);">x</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(0,0,0);">f</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(0,0,0);">ind</span><span style="color:rgb(74,85,219);">]</span> <span style="color:rgb(92,92,92);">=</span> <span style="color:rgb(50,185,185);">fsolve</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(0,0,0);">x1</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(50,185,185);">list</span><span style="color:rgb(74,85,219);">(</span><span style="color:rgb(0,0,0);text-decoration:underline;">foo</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(0,0,0);">a</span><span style="color:rgb(0,0,0);">,</span><span style="color:rgb(0,0,0);">b</span><span style="color:rgb(74,85,219);">)</span><span style="color:rgb(74,85,219);">)</span></pre>
Regards,<br>
Radovan<br>
<br>
On 9/2/2013 3:32 PM, Carrico, Paul wrote:<br>
</div>
<blockquote
cite="mid:55A12CBC06A8C9459DCE0BBEF8122FDC0BA9AF63@exchsrv.auxitrol.ad"
type="cite">
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<pre style="FONT-STYLE: normal; FONT-FAMILY: Monospaced; FONT-SIZE: 12px"><span style="COLOR: rgb(176,24,19)"><span class="378112513-02092013"><font color="#000000" face="Calibri" size="3">Dear All</font></span></span></pre>
<pre style="FONT-STYLE: normal; FONT-FAMILY: Monospaced; FONT-SIZE: 12px"><span style="COLOR: rgb(176,24,19)"><span class="378112513-02092013"><font color="#000000" face="Calibri" size="3">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 ?</font></span></span></pre>
<pre style="FONT-STYLE: normal; FONT-FAMILY: Monospaced; FONT-SIZE: 12px"><span style="COLOR: rgb(176,24,19)"><span class="378112513-02092013"><font color="#000000" face="Calibri" size="3">Thanks</font></span></span></pre>
<pre style="FONT-STYLE: normal; FONT-FAMILY: Monospaced; FONT-SIZE: 12px"><span style="COLOR: rgb(176,24,19)"><span class="378112513-02092013"><font color="#000000" face="Calibri" size="3">Paul</font></span></span></pre>
<pre style="FONT-STYLE: normal; FONT-FAMILY: Monospaced; FONT-SIZE: 12px"><span style="COLOR: rgb(176,24,19)">function</span> <span style="COLOR: rgb(74,85,219)">[</span><span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">f</span><span style="COLOR: rgb(0,0,0)">, </span><span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">ind</span><span style="COLOR: rgb(74,85,219)">]</span><span style="COLOR: rgb(92,92,92)">=</span><span style="COLOR: rgb(0,0,0); TEXT-DECORATION: underline">foo</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">x</span><span style="COLOR: rgb(0,0,0)">, </span><span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">cst</span><span style="COLOR: rgb(0,0,0)">, </span><span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">R_</span><span style="COLOR: rgb(0,0,0)">, </span><span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">ind</span><span style="COLOR: rgb(74,85,219)">)</span>
<span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">f</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">1</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">=</span> <span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">x</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">3</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">-</span> <span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">cst</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">3</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(92,92,92)">*</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">x</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: r
gb(188,
143,143)">3</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">-</span> <span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">x</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">1</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">+</span> <span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">x</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">4</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">-</span> <span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">cst</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">4</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(92,92,92)">*</span><span style="COLOR: rgb(7
4,85,219
)">(</span><span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">x</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">4</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">-</span> <span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">x</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">2</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(0,0,0)">;</span>
<span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">f</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">2</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">=</span> <span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">x</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">1</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">-</span> <span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">cst</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">1</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(92,92,92)">*</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">x</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: r
gb(188,
143,143)">3</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">-</span> <span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">x</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">1</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">+</span> <span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">x</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">2</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">-</span> <span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">cst</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">2</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(92,92,92)">*</span><span style="COLOR: rgb(7
4,85,219
)">(</span><span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">x</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">4</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">-</span> <span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">x</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">2</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(0,0,0)">;</span>
<span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">f</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">3</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">=</span> <span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">x</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">1</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">-</span> <span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">cst</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">1</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(92,92,92)">^</span><span style="COLOR: rgb(188,143,143)">2</span> <span style="COLOR: rgb(92,92,92)">+</span> <span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(131,67,16); F
ONT-WEI
GHT: bold">x</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">2</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">-</span> <span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">cst</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">2</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(92,92,92)">^</span><span style="COLOR: rgb(188,143,143)">2</span> <span style="COLOR: rgb(92,92,92)">-</span> <span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">R_</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">1</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(92,92,92)">^</span><span style="COLOR: rgb(188,143,143)">2</span> <span style="COLOR: rgb(0,0,0)">;</span>
<span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">f</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">4</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">=</span> <span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">x</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">3</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">-</span> <span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">cst</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">3</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(92,92,92)">^</span><span style="COLOR: rgb(188,143,143)">2</span> <span style="COLOR: rgb(92,92,92)">+</span> <span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(131,67,16); F
ONT-WEI
GHT: bold">x</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">4</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">-</span> <span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">cst</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">4</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(92,92,92)">^</span><span style="COLOR: rgb(188,143,143)">2</span> <span style="COLOR: rgb(92,92,92)">-</span> <span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">R_</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">2</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(92,92,92)">^</span><span style="COLOR: rgb(188,143,143)">2</span> <span style="COLOR: rgb(0,0,0)">;</span>
<span style="COLOR: rgb(176,24,19)">endfunction</span>
<span style="COLOR: rgb(176,24,19)">function</span> <span style="COLOR: rgb(74,85,219)">[</span><span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">f</span><span style="COLOR: rgb(0,0,0)">, </span><span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">ind</span><span style="COLOR: rgb(74,85,219)">]</span><span style="COLOR: rgb(92,92,92)">=</span><span style="COLOR: rgb(0,0,0); TEXT-DECORATION: underline">foo2</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">x</span><span style="COLOR: rgb(0,0,0)">, </span><span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">ind</span><span style="COLOR: rgb(74,85,219)">)</span>
<span style="COLOR: rgb(0,0,0)">cst</span> <span style="COLOR: rgb(92,92,92)">=</span> <span style="COLOR: rgb(74,85,219)">[</span><span style="COLOR: rgb(188,143,143)">106</span> <span style="COLOR: rgb(0,0,0)">;</span> <span style="COLOR: rgb(188,143,143)">30</span> <span style="COLOR: rgb(0,0,0)">;</span> <span style="COLOR: rgb(188,143,143)">54</span> <span style="COLOR: rgb(0,0,0)">;</span> <span style="COLOR: rgb(188,143,143)">15</span><span style="COLOR: rgb(74,85,219)">]</span>
<span style="COLOR: rgb(0,0,0)">R_</span> <span style="COLOR: rgb(92,92,92)">=</span> <span style="COLOR: rgb(74,85,219)">[</span><span style="COLOR: rgb(188,143,143)">9</span> <span style="COLOR: rgb(0,0,0)">;</span> <span style="COLOR: rgb(188,143,143)">9</span><span style="COLOR: rgb(74,85,219)">]</span>
<span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">f</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">1</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">=</span> <span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">x</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">3</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">-</span> <span style="COLOR: rgb(0,0,0)">cst</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">3</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(92,92,92)">*</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">x</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">3</spa
n><span
style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">-</span> <span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">x</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">1</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">+</span> <span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">x</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">4</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">-</span> <span style="COLOR: rgb(0,0,0)">cst</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">4</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(92,92,92)">*</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(131
,67,16);
FONT-WEIGHT: bold">x</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">4</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">-</span> <span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">x</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">2</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(0,0,0)">;</span>
<span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">f</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">2</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">=</span> <span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">x</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">1</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">-</span> <span style="COLOR: rgb(0,0,0)">cst</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">1</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(92,92,92)">*</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">x</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">3</spa
n><span
style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">-</span> <span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">x</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">1</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">+</span> <span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">x</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">2</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">-</span> <span style="COLOR: rgb(0,0,0)">cst</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">2</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(92,92,92)">*</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(131
,67,16);
FONT-WEIGHT: bold">x</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">4</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">-</span> <span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">x</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">2</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(0,0,0)">;</span>
<span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">f</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">3</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">=</span> <span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">x</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">1</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">-</span> <span style="COLOR: rgb(0,0,0)">cst</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">1</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(92,92,92)">^</span><span style="COLOR: rgb(188,143,143)">2</span> <span style="COLOR: rgb(92,92,92)">+</span> <span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">x</sp
an><spa
n style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">2</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">-</span> <span style="COLOR: rgb(0,0,0)">cst</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">2</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(92,92,92)">^</span><span style="COLOR: rgb(188,143,143)">2</span> <span style="COLOR: rgb(92,92,92)">-</span> <span style="COLOR: rgb(0,0,0)">R_</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">1</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(92,92,92)">^</span><span style="COLOR: rgb(188,143,143)">2</span> <span style="COLOR: rgb(0,0,0)">;</span>
<span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">f</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">4</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">=</span> <span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">x</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">3</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">-</span> <span style="COLOR: rgb(0,0,0)">cst</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">3</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(92,92,92)">^</span><span style="COLOR: rgb(188,143,143)">2</span> <span style="COLOR: rgb(92,92,92)">+</span> <span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(131,67,16); FONT-WEIGHT: bold">x</sp
an><spa
n style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">4</span><span style="COLOR: rgb(74,85,219)">)</span> <span style="COLOR: rgb(92,92,92)">-</span> <span style="COLOR: rgb(0,0,0)">cst</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">4</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(92,92,92)">^</span><span style="COLOR: rgb(188,143,143)">2</span> <span style="COLOR: rgb(92,92,92)">-</span> <span style="COLOR: rgb(0,0,0)">R_</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">2</span><span style="COLOR: rgb(74,85,219)">)</span><span style="COLOR: rgb(92,92,92)">^</span><span style="COLOR: rgb(188,143,143)">2</span> <span style="COLOR: rgb(0,0,0)">;</span>
<span style="COLOR: rgb(176,24,19)">endfunction</span>
<span style="FONT-STYLE: italic; COLOR: rgb(100,174,100)">// constants</span>
<span style="COLOR: rgb(0,0,0)">cst</span> <span style="COLOR: rgb(92,92,92)">=</span> <span style="COLOR: rgb(74,85,219)">[</span><span style="COLOR: rgb(188,143,143)">106</span> <span style="COLOR: rgb(0,0,0)">;</span> <span style="COLOR: rgb(188,143,143)">30</span> <span style="COLOR: rgb(0,0,0)">;</span> <span style="COLOR: rgb(188,143,143)">54</span> <span style="COLOR: rgb(0,0,0)">;</span> <span style="COLOR: rgb(188,143,143)">15</span><span style="COLOR: rgb(74,85,219)">]</span>
<span style="COLOR: rgb(0,0,0)">R_</span> <span style="COLOR: rgb(92,92,92)">=</span> <span style="COLOR: rgb(74,85,219)">[</span><span style="COLOR: rgb(188,143,143)">9</span> <span style="COLOR: rgb(0,0,0)">;</span> <span style="COLOR: rgb(188,143,143)">9</span><span style="COLOR: rgb(74,85,219)">]</span>
<span style="COLOR: rgb(0,0,0)">x0</span> <span style="COLOR: rgb(92,92,92)">=</span> <span style="COLOR: rgb(0,0,0)">cst</span>
<span style="COLOR: rgb(0,0,0)">x1</span> <span style="COLOR: rgb(92,92,92)">=</span> <span style="COLOR: rgb(50,185,185)">zeros</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(188,143,143)">4</span><span style="COLOR: rgb(0,0,0)">,</span><span style="COLOR: rgb(188,143,143)">1</span><span style="COLOR: rgb(74,85,219)">)</span>
<span style="FONT-STYLE: italic; COLOR: rgb(100,174,100)">// <span class="378112513-02092013">calculation</span><span class="378112513-02092013">using </span>fsolve</span>
<span style="COLOR: rgb(0,0,0)">T1</span> <span style="COLOR: rgb(92,92,92)">=</span> <span style="COLOR: rgb(50,185,185)">fsolve</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(0,0,0)">x0</span><span style="COLOR: rgb(0,0,0)">,</span><span style="COLOR: rgb(0,0,0); TEXT-DECORATION: underline">foo</span><span style="COLOR: rgb(74,85,219)">)</span>
<span style="COLOR: rgb(0,0,0)">T2</span> <span style="COLOR: rgb(92,92,92)">=</span> <span style="COLOR: rgb(50,185,185)">fsolve</span><span style="COLOR: rgb(74,85,219)">(</span><span style="COLOR: rgb(0,0,0)">x1</span><span style="COLOR: rgb(0,0,0)">,</span><span style="COLOR: rgb(0,0,0); TEXT-DECORATION: underline">foo2</span><span style="COLOR: rgb(74,85,219)">)</span></pre>
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