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	<id>http://tomwiki.com/index.php?action=history&amp;feed=atom&amp;title=TomSym_Simple_Trigonometric_Example</id>
	<title>TomSym Simple Trigonometric Example - Revision history</title>
	<link rel="self" type="application/atom+xml" href="http://tomwiki.com/index.php?action=history&amp;feed=atom&amp;title=TomSym_Simple_Trigonometric_Example"/>
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	<updated>2026-11-02T00:52:58Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>http://tomwiki.com/index.php?title=TomSym_Simple_Trigonometric_Example&amp;diff=2179&amp;oldid=prev</id>
		<title>Mbot at 13:35, 8 November 2011</title>
		<link rel="alternate" type="text/html" href="http://tomwiki.com/index.php?title=TomSym_Simple_Trigonometric_Example&amp;diff=2179&amp;oldid=prev"/>
		<updated>2011-11-08T13:35:02Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 08:35, 8 November 2011&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l23&quot;&gt;Line 23:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 23:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;pre&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;pre&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Problem type appears to be: con&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Problem type appears to be: con&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Time for symbolic processing: 0.&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;12674 &lt;/del&gt;seconds&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Time for symbolic processing: 0.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;12088 &lt;/ins&gt;seconds&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Starting numeric solver&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Starting numeric solver&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===== * * * =================================================================== * * *&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===== * * * =================================================================== * * *&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l36&quot;&gt;Line 36:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 36:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;FuncEv    6 GradEv    5 ConstrEv    5 ConJacEv    3 Iter    5  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;FuncEv    6 GradEv    5 ConstrEv    5 ConJacEv    3 Iter    5  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;CPU time: 0.&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;031200 &lt;/del&gt;sec. Elapsed time: 0.&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;031000 &lt;/del&gt;sec.  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;CPU time: 0.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;015600 &lt;/ins&gt;sec. Elapsed time: 0.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;022000 &lt;/ins&gt;sec.  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/pre&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/pre&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Mbot</name></author>
	</entry>
	<entry>
		<id>http://tomwiki.com/index.php?title=TomSym_Simple_Trigonometric_Example&amp;diff=1662&amp;oldid=prev</id>
		<title>Mbot: Created page with &quot;{{Part Of Manual|title=the TomSym Manual|link=TomSym Manual}}  TomSym implementation of GAMS Example (TRIG,SEQ=261)  Simple trigonometric problem from the LGO library ...&quot;</title>
		<link rel="alternate" type="text/html" href="http://tomwiki.com/index.php?title=TomSym_Simple_Trigonometric_Example&amp;diff=1662&amp;oldid=prev"/>
		<updated>2011-11-02T21:03:07Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;{{Part Of Manual|title=the TomSym Manual|link=&lt;a href=&quot;/index.php?title=TomSym&quot; title=&quot;TomSym&quot;&gt;TomSym Manual&lt;/a&gt;}}  TomSym implementation of GAMS Example (TRIG,SEQ=261)  Simple trigonometric problem from the LGO library ...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Part Of Manual|title=the TomSym Manual|link=[[TomSym|TomSym Manual]]}}&lt;br /&gt;
&lt;br /&gt;
TomSym implementation of GAMS Example (TRIG,SEQ=261)&lt;br /&gt;
&lt;br /&gt;
Simple trigonometric problem from the LGO library&lt;br /&gt;
&lt;br /&gt;
Janos Pinter, LGO - Users Guide, Pinter Consulting Services, Halifax, Canada, 2003.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;source lang=&amp;quot;matlab&amp;quot;&amp;gt;&lt;br /&gt;
toms x1&lt;br /&gt;
&lt;br /&gt;
obj = sin(11*x1) + cos(13*x1) - sin(17*x1) - cos(19*x1);&lt;br /&gt;
&lt;br /&gt;
eq1 = {-2 &amp;lt;= x1 &amp;lt;= 5&lt;br /&gt;
    -x1+5*sin(x1) &amp;lt;= 0};&lt;br /&gt;
x0 ={x1 == 1};&lt;br /&gt;
&lt;br /&gt;
options = struct;&lt;br /&gt;
options.solver = &amp;#039;conopt&amp;#039;;&lt;br /&gt;
solution = ezsolve(obj,eq1,x0,options);&lt;br /&gt;
&amp;lt;/source&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Problem type appears to be: con&lt;br /&gt;
Time for symbolic processing: 0.12674 seconds&lt;br /&gt;
Starting numeric solver&lt;br /&gt;
===== * * * =================================================================== * * *&lt;br /&gt;
TOMLAB - TOMLAB Development license  999007. Valid to 2011-12-31&lt;br /&gt;
=====================================================================================&lt;br /&gt;
Problem: ---  1:                                f_k       0.229779673691773210&lt;br /&gt;
                                              f(x_0)     -0.119850551407619690&lt;br /&gt;
&lt;br /&gt;
Solver: CONOPT.  EXIT=0.  INFORM=2.&lt;br /&gt;
Feasible Path GRG, CONOPT 3.14R&lt;br /&gt;
Normal completion : Locally optimal&lt;br /&gt;
&lt;br /&gt;
FuncEv    6 GradEv    5 ConstrEv    5 ConJacEv    3 Iter    5 &lt;br /&gt;
CPU time: 0.031200 sec. Elapsed time: 0.031000 sec. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;/div&gt;</summary>
		<author><name>Mbot</name></author>
	</entry>
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