<rss xmlns:itunes="http://www.itunes.com/dtds/podcast-1.0.dtd" version="2.0">
  <channel>
    <title>MaplePrimes - Newest Questions</title>
    <link>http://www.mapleprimes.com/questions</link>
    <language>en-us</language>
    <copyright>2026 Maplesoft, A Division of Waterloo Maple Inc.</copyright>
    <generator>Maplesoft Document System</generator>
    <lastBuildDate>Wed, 29 Jul 2026 20:46:57 GMT</lastBuildDate>
    <pubDate>Wed, 29 Jul 2026 20:46:57 GMT</pubDate>
    <itunes:subtitle />
    <itunes:summary />
    <description>The questions most recently asked on MaplePrimes</description>
    <image>
      <url>http://www.mapleprimes.com/images/mapleprimeswhite.jpg</url>
      <title>MaplePrimes - Newest Questions</title>
      <link>http://www.mapleprimes.com/questions</link>
    </image>
    <item>
      <title>Agent Skill for Maple</title>
      <link>http://www.mapleprimes.com/questions/243710-Agent-Skill-For-Maple?ref=Feed:MaplePrimes:New%20Questions</link>
      <itunes:summary>&lt;p&gt;Has anyone developed an Agent Skill for Maple compliant with the &lt;a href="https://agentskills.io/home"&gt;Agent Skills Specification&lt;/a&gt;?&lt;/p&gt;

&lt;p&gt;I frequently use Claude Code to create and edit Maple Documents. It does fine alone, but I found adding a script to do a syntax check eliminated a lot of content errors. I also presume some instructions on how it should read the Maple documentation will improve its reliability. Before I go about writing my own Skill against the specification, I just want to check if there is already one in use within the community.&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;Has anyone developed an Agent Skill for Maple compliant with the &lt;a href="https://agentskills.io/home"&gt;Agent Skills Specification&lt;/a&gt;?&lt;/p&gt;

&lt;p&gt;I frequently use Claude Code to create and edit Maple Documents. It does fine alone, but I found adding a script to do a syntax check eliminated a lot of content errors. I also presume some instructions on how it should read the Maple documentation will improve its reliability. Before I go about writing my own Skill against the specification, I just want to check if there is already one in use within the community.&lt;/p&gt;
</description>
      <guid>243710</guid>
      <pubDate>Wed, 29 Jul 2026 18:36:34 Z</pubDate>
      <itunes:author>OptimusMaplePrime</itunes:author>
      <author>OptimusMaplePrime</author>
    </item>
    <item>
      <title>Simplifications and substitutions</title>
      <link>http://www.mapleprimes.com/questions/243709-Simplifications-And-Substitutions?ref=Feed:MaplePrimes:New%20Questions</link>
      <itunes:summary>&lt;p&gt;I am trying to follow a series of substitutions used in a paper. I have given some examples of the substitutions. But I am having difficulty getting them to work. I know if all else fails I can manually recreate an expression with the substitution variables and then check backwards using eval(f,vals).&lt;br&gt;
Would appreciate any insight on substitution techniques here.&lt;br&gt;
&amp;nbsp;&lt;/p&gt;

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						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;restart&lt;/span&gt;&lt;/p&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;sidrels := [a*c - b^2 = Delta, a + c - 2*b = d, a - b = c__bar, a - c = b__bar, c - b = a__bar];&lt;/span&gt;&lt;/p&gt;
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						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(1)&lt;/td&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;vals:=&amp;#39;rhs=lhs&amp;#39;~(sidrels)&lt;/span&gt;&lt;/p&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="[Delta = a*c-b^2, d = a+c-2*b, c__bar = a-b, b__bar = a-c, a__bar = c-b]" height="32" src="/view.aspx?sf=243709_question/81b30fcc982c88c2dc1787bdd6878d29.gif" style="vertical-align:-11px" width="480"&gt;&lt;/p&gt;
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						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(2)&lt;/td&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;t1:=a + c - 2*b;&lt;/span&gt;&lt;br&gt;
						&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;simplify(t1,sidrels); #this should be d&lt;/span&gt;&lt;/p&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="a+c-2*b" height="23" src="/view.aspx?sf=243709_question/16e5ae53af6b40dc3c9e2e914e962e3e.gif" style="vertical-align:-6px" width="113"&gt;&lt;/p&gt;
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						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(3)&lt;/td&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;t2:=Vector[column](3, [-a + b, c - b, 0]);&lt;/span&gt;&lt;br&gt;
						&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;simplify(t2,sidrels) ; # This should be &amp;lt;&lt;/span&gt;&lt;span style="color:#008000;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;-c__bar&lt;/span&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;,a__bar,0&amp;gt; or &amp;lt;&lt;/span&gt;&lt;span style="color:#008000;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;c__bar&lt;/span&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;,-a__bar,0,&amp;gt;r&lt;/span&gt;&lt;/p&gt;
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						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(4)&lt;/td&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;t3:=normal(1 - b^2/(a*c));&lt;/span&gt;&lt;/p&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="(a*c-b^2)/(a*c)" height="46" src="/view.aspx?sf=243709_question/06cd2b48056cc7f529afc9b232519731.gif" style="vertical-align:-16px" width="102"&gt;&lt;/p&gt;
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						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(5)&lt;/td&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;simplify(&lt;/span&gt;&lt;span style="color:#000000; font-weight:bold; font-style:normal;"&gt;(5)&lt;/span&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;,sidrels); # This should be Delta/(a*c)&lt;/span&gt;&lt;/p&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="Delta/(b^2+Delta)" height="50" src="/view.aspx?sf=243709_question/977bd70c1c1a1e50d6009f841495c427.gif" style="vertical-align:-21px" width="58"&gt;&lt;/p&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;simplify(numer(&lt;/span&gt;&lt;span style="color:#000000; font-weight:bold; font-style:normal;"&gt;(5)&lt;/span&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;),sidrels,&amp;#39;mindeg&amp;#39;)/(denom(&lt;/span&gt;&lt;span style="color:#000000; font-weight:bold; font-style:normal;"&gt;(5)&lt;/span&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;) ); # This works&lt;/span&gt;&lt;/p&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;nbsp; &lt;/span&gt;&lt;/p&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="Delta/(a*c)" height="45" src="/view.aspx?sf=243709_question/9d0e21a353afdc57d908e33d85c9b299.gif" style="vertical-align:-16px" width="32"&gt;&lt;/p&gt;
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						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(7)&lt;/td&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;t4:=[(-b^2 + b*c)/(a*c - b^2), (a*b - b^2)/(a*c - b^2)]&lt;/span&gt;&lt;/p&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="[(-b^2+b*c)/(a*c-b^2), (a*b-b^2)/(a*c-b^2)]" height="50" src="/view.aspx?sf=243709_question/b3d07af862d906bc450d27740a30cd3d.gif" style="vertical-align:-20px" width="192"&gt;&lt;/p&gt;
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						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(8)&lt;/td&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;simplify(t4,sidrels,&amp;#39;mindeg&amp;#39;);# this should be [(b*&lt;/span&gt;&lt;span style="color:#008000;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;a__bar&lt;/span&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;)/Delta, (b*&lt;/span&gt;&lt;span style="color:#008000;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;b__bar&lt;/span&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;)/Delta]&lt;/span&gt;&lt;/p&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="[-b*(-c+b)/Delta, b*(a-b)/Delta]" height="45" src="/view.aspx?sf=243709_question/40debfa0587d65c948f75fd0027c4655.gif" style="vertical-align:-19px" width="181"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(9)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;t5:=simplify(Vector[column](3, [3*b*c__bar - Delta, -3*a__bar*b + Delta, b*(-c__bar + a__bar)]))&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="Vector(3, {(1) = 3*b*c__bar-Delta, (2) = -3*a__bar*b+Delta, (3) = b*(-c__bar+a__bar)})" height="23" src="/view.aspx?sf=243709_question/a5db620409e4bc8dd0825c514e245d9b.gif" style="vertical-align:-6px" width="63"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(10)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;t5[3]:=simplify(t5[3],sidrels) &amp;nbsp;;#This should be &lt;/span&gt;&lt;span style="color:#008000;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;b*b__bar&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;nbsp; &lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="-a__bar^2+(2*b+d)*a__bar-Delta" height="32" src="/view.aspx?sf=243709_question/3674fb80d2b5e94f5f963c225ffade0c.gif" style="vertical-align:-11px" width="217"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(11)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;t5&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="Vector(3, {(1) = 3*b*c__bar-Delta, (2) = -3*a__bar*b+Delta, (3) = -a__bar^2+(2*b+d)*a__bar-Delta})" height="23" src="/view.aspx?sf=243709_question/b73f3e985c4c3baa55015b122bc07089.gif" style="vertical-align:-6px" width="26"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(12)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;subs(sidrels[-2],b*(-c__bar + a__bar))&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="b*(-c__bar+a__bar)" height="28" src="/view.aspx?sf=243709_question/0e08bb8cc1204bc8fdf8649322e38317.gif" style="vertical-align:-11px" width="107"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(13)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;algsubs(sidrels[-2],b*(-c__bar + a__bar))&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="b*(-c__bar+a__bar)" height="28" src="/view.aspx?sf=243709_question/93bb6f1bc432d8cbe0293321dfd908c0.gif" style="vertical-align:-11px" width="107"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(14)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;nbsp; &lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;
			&lt;/td&gt;
		&lt;/tr&gt;
	&lt;/tbody&gt;
&lt;/table&gt;
&lt;input name="sequence" type="hidden" value="1"&gt; &lt;input name="cmd" type="hidden" value="none"&gt;&lt;/form&gt;

&lt;p&gt;&lt;br&gt;
&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&lt;a href="/view.aspx?sf=243709_question/2026-07-29_Q_Simplifications_and_Substitutions.mw"&gt;Download 2026-07-29_Q_Simplifications_and_Substitutions.mw&lt;/a&gt;&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;I am trying to follow a series of substitutions used in a paper. I have given some examples of the substitutions. But I am having difficulty getting them to work. I know if all else fails I can manually recreate an expression with the substitution variables and then check backwards using eval(f,vals).&lt;br&gt;
Would appreciate any insight on substitution techniques here.&lt;br&gt;
&amp;nbsp;&lt;/p&gt;

&lt;form name="worksheet_form"&gt;&lt;input name="md.ref" type="hidden" value="89C5EE9877BE4045A1223CA4746573F1"&gt;
&lt;table align="center" width="768"&gt;
	&lt;tbody&gt;
		&lt;tr&gt;
			&lt;td&gt;
			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;restart&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
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			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;nbsp; &lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;sidrels := [a*c - b^2 = Delta, a + c - 2*b = d, a - b = c__bar, a - c = b__bar, c - b = a__bar];&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
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			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="[a*c-b^2 = Delta, a+c-2*b = d, a-b = c__bar, a-c = b__bar, c-b = a__bar]" height="32" src="/view.aspx?sf=243709_question/837318404a37992c739324b038074608.gif" style="vertical-align:-11px" width="496"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(1)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;vals:=&amp;#39;rhs=lhs&amp;#39;~(sidrels)&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="[Delta = a*c-b^2, d = a+c-2*b, c__bar = a-b, b__bar = a-c, a__bar = c-b]" height="32" src="/view.aspx?sf=243709_question/81b30fcc982c88c2dc1787bdd6878d29.gif" style="vertical-align:-11px" width="480"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(2)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;t1:=a + c - 2*b;&lt;/span&gt;&lt;br&gt;
						&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;simplify(t1,sidrels); #this should be d&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="a+c-2*b" height="23" src="/view.aspx?sf=243709_question/16e5ae53af6b40dc3c9e2e914e962e3e.gif" style="vertical-align:-6px" width="113"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;&amp;nbsp;&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="d" height="23" src="/view.aspx?sf=243709_question/f7b1dfbc72ee0da25cd42324b51cbfb5.gif" style="vertical-align:-6px" width="13"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(3)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;t2:=Vector[column](3, [-a + b, c - b, 0]);&lt;/span&gt;&lt;br&gt;
						&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;simplify(t2,sidrels) ; # This should be &amp;lt;&lt;/span&gt;&lt;span style="color:#008000;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;-c__bar&lt;/span&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;,a__bar,0&amp;gt; or &amp;lt;&lt;/span&gt;&lt;span style="color:#008000;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;c__bar&lt;/span&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;,-a__bar,0,&amp;gt;r&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="Vector(3, {(1) = -a+b, (2) = c-b, (3) = 0})" height="23" src="/view.aspx?sf=243709_question/e9ab41b97efde22b9ab2d4c4c1e4f140.gif" style="vertical-align:-6px" width="63"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;&amp;nbsp;&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="Vector[column](%id = 36893490321805397396)" height="23" src="/view.aspx?sf=243709_question/bd62644a066b98d83961da2f76ef09e4.gif" style="vertical-align:-6px" width="26"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(4)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;t3:=normal(1 - b^2/(a*c));&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="(a*c-b^2)/(a*c)" height="46" src="/view.aspx?sf=243709_question/06cd2b48056cc7f529afc9b232519731.gif" style="vertical-align:-16px" width="102"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(5)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;simplify(&lt;/span&gt;&lt;span style="color:#000000; font-weight:bold; font-style:normal;"&gt;(5)&lt;/span&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;,sidrels); # This should be Delta/(a*c)&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="Delta/(b^2+Delta)" height="50" src="/view.aspx?sf=243709_question/977bd70c1c1a1e50d6009f841495c427.gif" style="vertical-align:-21px" width="58"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(6)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;simplify(numer(&lt;/span&gt;&lt;span style="color:#000000; font-weight:bold; font-style:normal;"&gt;(5)&lt;/span&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;),sidrels,&amp;#39;mindeg&amp;#39;)/(denom(&lt;/span&gt;&lt;span style="color:#000000; font-weight:bold; font-style:normal;"&gt;(5)&lt;/span&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;) ); # This works&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;nbsp; &lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="Delta/(a*c)" height="45" src="/view.aspx?sf=243709_question/9d0e21a353afdc57d908e33d85c9b299.gif" style="vertical-align:-16px" width="32"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(7)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;t4:=[(-b^2 + b*c)/(a*c - b^2), (a*b - b^2)/(a*c - b^2)]&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="[(-b^2+b*c)/(a*c-b^2), (a*b-b^2)/(a*c-b^2)]" height="50" src="/view.aspx?sf=243709_question/b3d07af862d906bc450d27740a30cd3d.gif" style="vertical-align:-20px" width="192"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(8)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;simplify(t4,sidrels,&amp;#39;mindeg&amp;#39;);# this should be [(b*&lt;/span&gt;&lt;span style="color:#008000;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;a__bar&lt;/span&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;)/Delta, (b*&lt;/span&gt;&lt;span style="color:#008000;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;b__bar&lt;/span&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;)/Delta]&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="[-b*(-c+b)/Delta, b*(a-b)/Delta]" height="45" src="/view.aspx?sf=243709_question/40debfa0587d65c948f75fd0027c4655.gif" style="vertical-align:-19px" width="181"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(9)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;t5:=simplify(Vector[column](3, [3*b*c__bar - Delta, -3*a__bar*b + Delta, b*(-c__bar + a__bar)]))&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="Vector(3, {(1) = 3*b*c__bar-Delta, (2) = -3*a__bar*b+Delta, (3) = b*(-c__bar+a__bar)})" height="23" src="/view.aspx?sf=243709_question/a5db620409e4bc8dd0825c514e245d9b.gif" style="vertical-align:-6px" width="63"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(10)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;t5[3]:=simplify(t5[3],sidrels) &amp;nbsp;;#This should be &lt;/span&gt;&lt;span style="color:#008000;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;b*b__bar&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;nbsp; &lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="-a__bar^2+(2*b+d)*a__bar-Delta" height="32" src="/view.aspx?sf=243709_question/3674fb80d2b5e94f5f963c225ffade0c.gif" style="vertical-align:-11px" width="217"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(11)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;t5&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="Vector(3, {(1) = 3*b*c__bar-Delta, (2) = -3*a__bar*b+Delta, (3) = -a__bar^2+(2*b+d)*a__bar-Delta})" height="23" src="/view.aspx?sf=243709_question/b73f3e985c4c3baa55015b122bc07089.gif" style="vertical-align:-6px" width="26"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(12)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;subs(sidrels[-2],b*(-c__bar + a__bar))&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="b*(-c__bar+a__bar)" height="28" src="/view.aspx?sf=243709_question/0e08bb8cc1204bc8fdf8649322e38317.gif" style="vertical-align:-11px" width="107"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(13)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;algsubs(sidrels[-2],b*(-c__bar + a__bar))&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="b*(-c__bar+a__bar)" height="28" src="/view.aspx?sf=243709_question/93bb6f1bc432d8cbe0293321dfd908c0.gif" style="vertical-align:-11px" width="107"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(14)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;nbsp; &lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
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			&lt;/td&gt;
		&lt;/tr&gt;
	&lt;/tbody&gt;
&lt;/table&gt;
&lt;input name="sequence" type="hidden" value="1"&gt; &lt;input name="cmd" type="hidden" value="none"&gt;&lt;/form&gt;

&lt;p&gt;&lt;br&gt;
&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&lt;a href="/view.aspx?sf=243709_question/2026-07-29_Q_Simplifications_and_Substitutions.mw"&gt;Download 2026-07-29_Q_Simplifications_and_Substitutions.mw&lt;/a&gt;&lt;/p&gt;
</description>
      <guid>243709</guid>
      <pubDate>Wed, 29 Jul 2026 16:37:44 Z</pubDate>
      <itunes:author>Ronan</itunes:author>
      <author>Ronan</author>
    </item>
    <item>
      <title>MapleV for emacs 30.2</title>
      <link>http://www.mapleprimes.com/questions/243708-MapleV-For-Emacs-302?ref=Feed:MaplePrimes:New%20Questions</link>
      <itunes:summary>&lt;p&gt;I am a long-time user of Joe Riel&amp;#39;s maplev mode in emacs. Upgraded emacs to version 30.2 and now it does not work anymore because of difficulties with something called abbrevlist. This is on MacOS. I am already on the last version of maplev.&lt;/p&gt;

&lt;p&gt;Anyone have an idea what is going on and what to do? Somehow for me referencing a username no longer is possible (I get a blocking box with a spinner upon entering the at sign) so I can&amp;#39;t create a notification for Joe.&lt;/p&gt;

&lt;p&gt;TIA,&lt;/p&gt;

&lt;p&gt;Mac Dude.&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;I am a long-time user of Joe Riel&amp;#39;s maplev mode in emacs. Upgraded emacs to version 30.2 and now it does not work anymore because of difficulties with something called abbrevlist. This is on MacOS. I am already on the last version of maplev.&lt;/p&gt;

&lt;p&gt;Anyone have an idea what is going on and what to do? Somehow for me referencing a username no longer is possible (I get a blocking box with a spinner upon entering the at sign) so I can&amp;#39;t create a notification for Joe.&lt;/p&gt;

&lt;p&gt;TIA,&lt;/p&gt;

&lt;p&gt;Mac Dude.&lt;/p&gt;
</description>
      <guid>243708</guid>
      <pubDate>Wed, 29 Jul 2026 14:09:15 Z</pubDate>
      <itunes:author>Mac Dude</itunes:author>
      <author>Mac Dude</author>
    </item>
    <item>
      <title>Recalcitrant differential equation</title>
      <link>http://www.mapleprimes.com/questions/243707-Recalcitrant-Differential-Equation?ref=Feed:MaplePrimes:New%20Questions</link>
      <itunes:summary>&lt;p&gt;In the attached file, I&amp;#39;d like to solve an ODE as an exercise. Only the &amp;quot;series&amp;quot; option yielded a solution. How can the length of the result series be controlled? Is there a package that leads to a &amp;quot;closed&amp;quot; solution &amp;ndash; even using well-known transcendental functions?&lt;/p&gt;

&lt;form name="worksheet_form"&gt;&lt;input name="md.ref" type="hidden" value="CB0FEDFF3073DE6C3A4E90EFA6044C71"&gt;
&lt;table align="center" width="768"&gt;
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		&lt;tr&gt;
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			&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;img alt="restart" height="23" src="/view.aspx?sf=243707_question/8c470ac7d9aa6659a12088a08f8027e1.gif" style="vertical-align:-6px" width="54"&gt;&lt;/p&gt;

			&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;img alt="ode := (1+f(x))*(diff(f(x), x, x)) = 1+x" height="50" src="/view.aspx?sf=243707_question/62891d1f7973d6a7176f502106063918.gif" style="vertical-align:-20px" width="260"&gt;&lt;/p&gt;

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					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="(1+f(x))*(diff(diff(f(x), x), x)) = 1+x" height="50" src="/view.aspx?sf=243707_question/661d1b933609851b3b2d28c897b8bc5f.gif" style="vertical-align:-20px" width="253"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(1)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;img alt="ics := f(0) = 1, (D(f))(0) = 0" height="23" src="/view.aspx?sf=243707_question/b38c92592dd9a5e67f9ceef74ab76b9a.gif" style="vertical-align:-6px" width="191"&gt;&lt;/p&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="f(0) = 1, (D(f))(0) = 0" height="23" src="/view.aspx?sf=243707_question/6ed03e636fe3908c37104c2975b7716e.gif" style="vertical-align:-6px" width="183"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(2)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;img alt="dsolve({ics, ode}, f(x), series)" height="23" src="/view.aspx?sf=243707_question/d8dfdc5e5efce239a8f499475170232a.gif" style="vertical-align:-6px" width="199"&gt;&lt;/p&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="f(x) = series(1+(1/4)*x^2+(1/12)*x^3-(1/192)*x^4-(1/240)*x^5+O(x^6),x,6)" height="42" src="/view.aspx?sf=243707_question/80db5cf8dc7d5ad04b137703f3063d60.gif" style="vertical-align:-16px" width="359"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(3)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;img alt="``" height="23" src="/view.aspx?sf=243707_question/5711fa44c51db4941cc72ed6f88c7b90.gif" style="vertical-align:-6px" width="11"&gt;&lt;/p&gt;
			&lt;/td&gt;
		&lt;/tr&gt;
	&lt;/tbody&gt;
&lt;/table&gt;
&lt;input name="sequence" type="hidden" value="1"&gt; &lt;input name="cmd" type="hidden" value="none"&gt;&lt;/form&gt;

&lt;p&gt;&lt;a href="/view.aspx?sf=243707_question/test.mw"&gt;Download test.mw&lt;/a&gt;&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;In the attached file, I&amp;#39;d like to solve an ODE as an exercise. Only the &amp;quot;series&amp;quot; option yielded a solution. How can the length of the result series be controlled? Is there a package that leads to a &amp;quot;closed&amp;quot; solution &amp;ndash; even using well-known transcendental functions?&lt;/p&gt;

&lt;form name="worksheet_form"&gt;&lt;input name="md.ref" type="hidden" value="CB0FEDFF3073DE6C3A4E90EFA6044C71"&gt;
&lt;table align="center" width="768"&gt;
	&lt;tbody&gt;
		&lt;tr&gt;
			&lt;td&gt;
			&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;img alt="restart" height="23" src="/view.aspx?sf=243707_question/8c470ac7d9aa6659a12088a08f8027e1.gif" style="vertical-align:-6px" width="54"&gt;&lt;/p&gt;

			&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;img alt="ode := (1+f(x))*(diff(f(x), x, x)) = 1+x" height="50" src="/view.aspx?sf=243707_question/62891d1f7973d6a7176f502106063918.gif" style="vertical-align:-20px" width="260"&gt;&lt;/p&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="(1+f(x))*(diff(diff(f(x), x), x)) = 1+x" height="50" src="/view.aspx?sf=243707_question/661d1b933609851b3b2d28c897b8bc5f.gif" style="vertical-align:-20px" width="253"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(1)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;img alt="ics := f(0) = 1, (D(f))(0) = 0" height="23" src="/view.aspx?sf=243707_question/b38c92592dd9a5e67f9ceef74ab76b9a.gif" style="vertical-align:-6px" width="191"&gt;&lt;/p&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="f(0) = 1, (D(f))(0) = 0" height="23" src="/view.aspx?sf=243707_question/6ed03e636fe3908c37104c2975b7716e.gif" style="vertical-align:-6px" width="183"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(2)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;img alt="dsolve({ics, ode}, f(x), series)" height="23" src="/view.aspx?sf=243707_question/d8dfdc5e5efce239a8f499475170232a.gif" style="vertical-align:-6px" width="199"&gt;&lt;/p&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="f(x) = series(1+(1/4)*x^2+(1/12)*x^3-(1/192)*x^4-(1/240)*x^5+O(x^6),x,6)" height="42" src="/view.aspx?sf=243707_question/80db5cf8dc7d5ad04b137703f3063d60.gif" style="vertical-align:-16px" width="359"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(3)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;img alt="``" height="23" src="/view.aspx?sf=243707_question/5711fa44c51db4941cc72ed6f88c7b90.gif" style="vertical-align:-6px" width="11"&gt;&lt;/p&gt;
			&lt;/td&gt;
		&lt;/tr&gt;
	&lt;/tbody&gt;
&lt;/table&gt;
&lt;input name="sequence" type="hidden" value="1"&gt; &lt;input name="cmd" type="hidden" value="none"&gt;&lt;/form&gt;

&lt;p&gt;&lt;a href="/view.aspx?sf=243707_question/test.mw"&gt;Download test.mw&lt;/a&gt;&lt;/p&gt;
</description>
      <guid>243707</guid>
      <pubDate>Wed, 29 Jul 2026 09:10:23 Z</pubDate>
      <itunes:author>Alfred_F</itunes:author>
      <author>Alfred_F</author>
    </item>
    <item>
      <title>How to improve printing of procedures with units</title>
      <link>http://www.mapleprimes.com/questions/243705-How-To-Improve-Printing-Of-Procedures-With-Units?ref=Feed:MaplePrimes:New%20Questions</link>
      <itunes:summary>&lt;p&gt;This piecewise function with units&lt;/p&gt;

&lt;pre class="prettyprint"&gt;
q := r -&amp;gt; piecewise(0 &amp;lt;= r and r &amp;lt; 0.1*Unit(&amp;#39;mm&amp;#39;), 5*Unit((&amp;#39;kW&amp;#39;)/&amp;#39;m&amp;#39;^2));&lt;/pre&gt;

&lt;p&gt;returns this output&lt;br&gt;
&lt;img src="data:image/png;base64,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"&gt;&lt;br&gt;
Is it possible to get the output printed without ticks and the units in roman?&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;This piecewise function with units&lt;/p&gt;

&lt;pre class="prettyprint"&gt;
q := r -&amp;gt; piecewise(0 &amp;lt;= r and r &amp;lt; 0.1*Unit(&amp;#39;mm&amp;#39;), 5*Unit((&amp;#39;kW&amp;#39;)/&amp;#39;m&amp;#39;^2));&lt;/pre&gt;

&lt;p&gt;returns this output&lt;br /&gt;
&lt;img src="data:image/png;base64,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" /&gt;&lt;br /&gt;
Is it possible to get the output printed without ticks and the units in roman?&lt;/p&gt;
</description>
      <guid>243705</guid>
      <pubDate>Mon, 27 Jul 2026 09:38:34 Z</pubDate>
      <itunes:author>C_R</itunes:author>
      <author>C_R</author>
    </item>
    <item>
      <title>How is a cyclic command sequence programmed?</title>
      <link>http://www.mapleprimes.com/questions/243703-How-Is-A-Cyclic-Command-Sequence-Programmed?ref=Feed:MaplePrimes:New%20Questions</link>
      <itunes:summary>&lt;p&gt;In the attached file, I would like to calculate the expressions for the function f(n,x) using a recursion for a given index range, e.g., n=3..15. I would appreciate any advice on this.&lt;br&gt;
&amp;nbsp;&lt;/p&gt;

&lt;form name="worksheet_form"&gt;&lt;input name="md.ref" type="hidden" value="26FB58AF1AF5A19BE0C20087158D744E"&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;img alt="NULL" height="23" src="/view.aspx?sf=243703_question/d4dec2944793aed0d836782e704c7b24.gif" style="vertical-align:-6px" width="9"&gt;&lt;/p&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;restart;&lt;/span&gt;&lt;/p&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;kernelopts(version);&lt;/span&gt;&lt;/p&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="`Maple 2026.1, X86 64 WINDOWS, Jun 04 2026, Build ID 2018217`" height="23" src="/view.aspx?sf=243703_question/6bd3ed6024825b278705b8faf47ad09b.gif" style="vertical-align:-6px" width="410"&gt;&lt;/p&gt;
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						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(1)&lt;/td&gt;
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			&lt;table style="margin-left:0px;margin-right:0px"&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;f(1,x):=x;&lt;/span&gt;&lt;/p&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="x" height="23" src="/view.aspx?sf=243703_question/04b8e70785bb6a39df4514e55de7afdd.gif" style="vertical-align:-6px" width="78"&gt;&lt;/p&gt;
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						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(2)&lt;/td&gt;
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			&lt;table style="margin-left:0px;margin-right:0px"&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;f(2,x):=2*x + 2*sin(x);&lt;/span&gt;&lt;/p&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="2*x+2*sin(x)" height="23" src="/view.aspx?sf=243703_question/e5f9fb7c1fa6bc81e86e6d0634e00dcb.gif" style="vertical-align:-6px" width="155"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(3)&lt;/td&gt;
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			&lt;table style="margin-left:0px;margin-right:0px"&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;f(n,x):=2*f(n-1,x)-f(n-2,x)+2*sin((n-1)*x)/(n-1);&lt;/span&gt;&lt;/p&gt;
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			&lt;table&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="2*f(n-1, x)-f(n-2, x)+2*sin((n-1)*x)/(n-1)" height="42" src="/view.aspx?sf=243703_question/bf18e089b2bcd60506c24056a894c0d9.gif" style="vertical-align:-16px" width="364"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(4)&lt;/td&gt;
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			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;f(3,x):=eval(f(n,x),n=3);&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
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			&lt;table&gt;
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						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="3*x+4*sin(x)+sin(2*x)" height="23" src="/view.aspx?sf=243703_question/40999d3ccbe1db8666792da404ad44a3.gif" style="vertical-align:-6px" width="222"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(5)&lt;/td&gt;
					&lt;/tr&gt;
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			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;f(4,x):=eval(f(n,x),n=4);&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
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			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="4*x+6*sin(x)+2*sin(2*x)+(2/3)*sin(3*x)" height="42" src="/view.aspx?sf=243703_question/cb68ae897da168b0aa04e91bb682f50e.gif" style="vertical-align:-16px" width="319"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(6)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;img alt="NULL" height="23" src="/view.aspx?sf=243703_question/83e4369884796f48a6eed03a2251644c.gif" style="vertical-align:-6px" width="34"&gt;&lt;/p&gt;
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			&lt;table style="margin-left:0px;margin-right:0px"&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;img alt="NULL" height="23" src="/view.aspx?sf=243703_question/7f3851c7d1cae921e7dd6e5ad8f6984e.gif" style="vertical-align:-6px" width="9"&gt;&lt;/p&gt;
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&lt;input name="sequence" type="hidden" value="1"&gt; &lt;input name="cmd" type="hidden" value="none"&gt;&lt;/form&gt;

&lt;p&gt;&lt;br&gt;
&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&lt;a href="/view.aspx?sf=243703_question/test24c.mw"&gt;Download test24c.mw&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;&amp;nbsp;&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;In the attached file, I would like to calculate the expressions for the function f(n,x) using a recursion for a given index range, e.g., n=3..15. I would appreciate any advice on this.&lt;br&gt;
&amp;nbsp;&lt;/p&gt;

&lt;form name="worksheet_form"&gt;&lt;input name="md.ref" type="hidden" value="26FB58AF1AF5A19BE0C20087158D744E"&gt;
&lt;table align="center" width="768"&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;img alt="NULL" height="23" src="/view.aspx?sf=243703_question/d4dec2944793aed0d836782e704c7b24.gif" style="vertical-align:-6px" width="9"&gt;&lt;/p&gt;
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			&lt;table style="margin-left:0px;margin-right:0px"&gt;
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					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;restart;&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
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			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;kernelopts(version);&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
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			&lt;table&gt;
				&lt;tbody&gt;
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						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="`Maple 2026.1, X86 64 WINDOWS, Jun 04 2026, Build ID 2018217`" height="23" src="/view.aspx?sf=243703_question/6bd3ed6024825b278705b8faf47ad09b.gif" style="vertical-align:-6px" width="410"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(1)&lt;/td&gt;
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			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;f(1,x):=x;&lt;/span&gt;&lt;/p&gt;
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			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="x" height="23" src="/view.aspx?sf=243703_question/04b8e70785bb6a39df4514e55de7afdd.gif" style="vertical-align:-6px" width="78"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(2)&lt;/td&gt;
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			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;f(2,x):=2*x + 2*sin(x);&lt;/span&gt;&lt;/p&gt;
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			&lt;table&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="2*x+2*sin(x)" height="23" src="/view.aspx?sf=243703_question/e5f9fb7c1fa6bc81e86e6d0634e00dcb.gif" style="vertical-align:-6px" width="155"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(3)&lt;/td&gt;
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			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;f(n,x):=2*f(n-1,x)-f(n-2,x)+2*sin((n-1)*x)/(n-1);&lt;/span&gt;&lt;/p&gt;
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			&lt;table&gt;
				&lt;tbody&gt;
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						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="2*f(n-1, x)-f(n-2, x)+2*sin((n-1)*x)/(n-1)" height="42" src="/view.aspx?sf=243703_question/bf18e089b2bcd60506c24056a894c0d9.gif" style="vertical-align:-16px" width="364"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(4)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;f(3,x):=eval(f(n,x),n=3);&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="3*x+4*sin(x)+sin(2*x)" height="23" src="/view.aspx?sf=243703_question/40999d3ccbe1db8666792da404ad44a3.gif" style="vertical-align:-6px" width="222"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(5)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;f(4,x):=eval(f(n,x),n=4);&lt;/span&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="4*x+6*sin(x)+2*sin(2*x)+(2/3)*sin(3*x)" height="42" src="/view.aspx?sf=243703_question/cb68ae897da168b0aa04e91bb682f50e.gif" style="vertical-align:-16px" width="319"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(6)&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;img alt="NULL" height="23" src="/view.aspx?sf=243703_question/83e4369884796f48a6eed03a2251644c.gif" style="vertical-align:-6px" width="34"&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table style="margin-left:0px;margin-right:0px"&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: monospace,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;img alt="NULL" height="23" src="/view.aspx?sf=243703_question/7f3851c7d1cae921e7dd6e5ad8f6984e.gif" style="vertical-align:-6px" width="9"&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
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			&lt;/td&gt;
		&lt;/tr&gt;
	&lt;/tbody&gt;
&lt;/table&gt;
&lt;input name="sequence" type="hidden" value="1"&gt; &lt;input name="cmd" type="hidden" value="none"&gt;&lt;/form&gt;

&lt;p&gt;&lt;br&gt;
&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&lt;a href="/view.aspx?sf=243703_question/test24c.mw"&gt;Download test24c.mw&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;&amp;nbsp;&lt;/p&gt;
</description>
      <guid>243703</guid>
      <pubDate>Sat, 25 Jul 2026 15:18:20 Z</pubDate>
      <itunes:author>Alfred_F</itunes:author>
      <author>Alfred_F</author>
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