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    <title>MaplePrimes - Newest Questions and Posts</title>
    <link>http://www.mapleprimes.com</link>
    <language>en-us</language>
    <copyright>2026 Maplesoft, A Division of Waterloo Maple Inc.</copyright>
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    <lastBuildDate>Sun, 12 Apr 2026 05:19:31 GMT</lastBuildDate>
    <pubDate>Sun, 12 Apr 2026 05:19:31 GMT</pubDate>
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    <description>The latest questions and posts added to MaplePrimes</description>
    <image>
      <url>http://www.mapleprimes.com/images/mapleprimeswhite.jpg</url>
      <title>MaplePrimes - Newest Questions and Posts</title>
      <link>http://www.mapleprimes.com</link>
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    <item>
      <title>Why is selection by index not working inside ExpressionTools:-Compare</title>
      <link>http://www.mapleprimes.com/questions/242540-Why-Is-Selection-By-Index-Not-Working?ref=Feed:MaplePrimes:New%20Questions%20&amp;amp;%20Posts</link>
      <itunes:summary>&lt;p&gt;Can someone explain why the element selection inside Compare works differently for the second argument?&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;img align="middle" alt="ode := diff(diff(y(x), x), x)+sin(y(x)) = 0; IC := y(infinity) = Pi; sol := [dsolve([ode, IC])]" height="61" src="/view.aspx?sf=242540_question/6c80770ae60022808fc813e697ad1787.gif" style="vertical-align:-44px" width="768"&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="diff(diff(y(x), x), x)+sin(y(x)) = 0" height="50" src="/view.aspx?sf=242540_question/068af8e51c60a881ec55605c4df3839b.gif" style="vertical-align:-20px" width="214"&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="y(infinity) = Pi" height="26" src="/view.aspx?sf=242540_question/9919f06c88d237673d1afe0f8d86b7ad.gif" style="vertical-align:-7px" width="105"&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 align="middle" alt="[y(x) = RootOf(-(Int(1/(2*cos(_a)+RootOf(-(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. Pi))+_a+c__2))^(1/2), _a = 0 .. _Z))+x+c__2), y(x) = RootOf(Int(1/(2*cos(_a)+RootOf(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. Pi)+_a+c__2))^(1/2), _a = 0 .. _Z)+x+c__2)]" height="240" src="/view.aspx?sf=242540_question/fe8a4410e2236456343de60fcc3f2fed.gif" style="vertical-align:-181px" width="738"&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;img alt="dsolve([ode, y(x__IC) = y__IC])" height="28" src="/view.aspx?sf=242540_question/40f1685045e223a1ee00d44676781996.gif" style="vertical-align:-11px" width="174"&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 align="middle" alt="y(x) = RootOf(-(Int(1/(2*cos(_a)+RootOf(-(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. y__IC))+x__IC+c__2))^(1/2), _a = 0 .. _Z))+x+c__2), y(x) = RootOf(Int(1/(2*cos(_a)+RootOf(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. y__IC)+x__IC+c__2))^(1/2), _a = 0 .. _Z)+x+c__2)" height="258" src="/view.aspx?sf=242540_question/a67f8256cc3ccbb55c07100afecaa0b7.gif" style="vertical-align:-196px" width="738"&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;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;img alt="ExpressionTools:-Compare(sol[1], [y(x) = RootOf(-(Int(1/(2*cos(_a)+RootOf(-(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. y__IC))+x__IC+c__2))^(1/2), _a = 0 .. _Z))+x+c__2), y(x) = RootOf(Int(1/(2*cos(_a)+RootOf(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. y__IC)+x__IC+c__2))^(1/2), _a = 0 .. _Z)+x+c__2)][1])" height="26" src="/view.aspx?sf=242540_question/29b5f4b4b766abf8d359646516db58e4.gif" style="vertical-align:-7px" width="768"&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 align="middle" alt="&amp;quot;([[y(x)=RootOf(-(&amp;amp;int;)[0]^_Z1/(sqrt(2 cos(_a)+RootOf(-(&amp;amp;int;)[0]^Pi1/(sqrt(2 cos(_a)+_Z)) &amp;amp;DifferentialD;_a+_a+`c__2`))) &amp;amp;DifferentialD;_a+x+`c__2`)],[[y(x)=RootOf(-(&amp;amp;int;)[0]^_Z1/(sqrt(2 cos(_a)+RootOf(-(&amp;amp;int;)[0]^`y__IC`1/(sqrt(2 cos(_a)+_Z)) &amp;amp;DifferentialD;_a+`x__IC`+`c__2`))) &amp;amp;DifferentialD;_a+x+`c__2`),y(x)=RootOf((&amp;amp;int;)[0]^_Z1/(sqrt(2 cos(_a)+RootOf((&amp;amp;int;)[0]^`y__IC`1/(sqrt(2 cos(_a)+_Z)) &amp;amp;DifferentialD;_a+`x__IC`+`c__2`))) &amp;amp;DifferentialD;_a+x+`c__2`)][1]]])&amp;quot;" height="350" src="/view.aspx?sf=242540_question/b6833dcc893f533dd381f4a96b987cf4.gif" style="vertical-align:-446px" width="738"&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;img alt="whattype(y(x) = RootOf(-(Int(1/(2*cos(_a)+RootOf(-(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. y__IC))+x__IC+c__2))^(1/2), _a = 0 .. _Z))+x+c__2), y(x) = RootOf(Int(1/(2*cos(_a)+RootOf(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. y__IC)+x__IC+c__2))^(1/2), _a = 0 .. _Z)+x+c__2))" height="26" src="/view.aspx?sf=242540_question/48ecbb8378db353b207b953540c337e5.gif" style="vertical-align:-7px" width="106"&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="exprseq" height="23" src="/view.aspx?sf=242540_question/d85c0809d576bc62fc7fb953da5bafa0.gif" style="vertical-align:-6px" width="52"&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;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;img alt="ExpressionTools:-Compare(sol[1], (y(x) = RootOf(-(Int(1/(2*cos(_a)+RootOf(-(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. y__IC))+x__IC+c__2))^(1/2), _a = 0 .. _Z))+x+c__2), y(x) = RootOf(Int(1/(2*cos(_a)+RootOf(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. y__IC)+x__IC+c__2))^(1/2), _a = 0 .. _Z)+x+c__2))[1])" height="26" src="/view.aspx?sf=242540_question/09db29b4624415c0b8167c3a9844da8a.gif" style="vertical-align:-7px" width="673"&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 align="middle" alt="&amp;quot;([[y(x)=RootOf(-(&amp;amp;int;)[0]^_Z1/(sqrt(2 cos(_a)+RootOf(-(&amp;amp;int;)[0]^Pi1/(sqrt(2 cos(_a)+_Z)) &amp;amp;DifferentialD;_a+_a+`c__2`))) &amp;amp;DifferentialD;_a+x+`c__2`)],[(y(x)=RootOf(-(&amp;amp;int;)[0]^_Z1/(sqrt(2 cos(_a)+RootOf(-(&amp;amp;int;)[0]^`y__IC`1/(sqrt(2 cos(_a)+_Z)) &amp;amp;DifferentialD;_a+`x__IC`+`c__2`))) &amp;amp;DifferentialD;_a+x+`c__2`),y(x)=RootOf((&amp;amp;int;)[0]^_Z1/(sqrt(2 cos(_a)+RootOf((&amp;amp;int;)[0]^`y__IC`1/(sqrt(2 cos(_a)+_Z)) &amp;amp;DifferentialD;_a+`x__IC`+`c__2`))) &amp;amp;DifferentialD;_a+x+`c__2`))[1]]])&amp;quot;" height="349" src="/view.aspx?sf=242540_question/7cef7558dfe9fa8faddea8d39a8160e1.gif" style="vertical-align:-446px" width="738"&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;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=242540_question/092b1e563c5f4ae0680c24e2896a21fa.gif" style="vertical-align:-6px" width="9"&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;img align="middle" alt="(y(x) = RootOf(-(Int(1/(2*cos(_a)+RootOf(-(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. y__IC))+x__IC+c__2))^(1/2), _a = 0 .. _Z))+x+c__2), y(x) = RootOf(Int(1/(2*cos(_a)+RootOf(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. y__IC)+x__IC+c__2))^(1/2), _a = 0 .. _Z)+x+c__2))[1]; ExpressionTools:-Compare(sol[1], %)" height="44" src="/view.aspx?sf=242540_question/5f20253cf766afc448ce8db0b39bdccf.gif" style="vertical-align:-25px" width="768"&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;(6)&lt;/td&gt;
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&lt;p&gt;&lt;a href="/view.aspx?sf=242540_question/Compare_and_indexing_output.mw"&gt;Download Compare_and_indexing_output.mw&lt;/a&gt;&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;Can someone explain why the element selection inside Compare works differently for the second argument?&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;img align="middle" alt="ode := diff(diff(y(x), x), x)+sin(y(x)) = 0; IC := y(infinity) = Pi; sol := [dsolve([ode, IC])]" height="61" src="/view.aspx?sf=242540_question/6c80770ae60022808fc813e697ad1787.gif" style="vertical-align:-44px" width="768"&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="y(infinity) = Pi" height="26" src="/view.aspx?sf=242540_question/9919f06c88d237673d1afe0f8d86b7ad.gif" style="vertical-align:-7px" width="105"&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 align="middle" alt="[y(x) = RootOf(-(Int(1/(2*cos(_a)+RootOf(-(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. Pi))+_a+c__2))^(1/2), _a = 0 .. _Z))+x+c__2), y(x) = RootOf(Int(1/(2*cos(_a)+RootOf(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. Pi)+_a+c__2))^(1/2), _a = 0 .. _Z)+x+c__2)]" height="240" src="/view.aspx?sf=242540_question/fe8a4410e2236456343de60fcc3f2fed.gif" style="vertical-align:-181px" width="738"&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;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="dsolve([ode, y(x__IC) = y__IC])" height="28" src="/view.aspx?sf=242540_question/40f1685045e223a1ee00d44676781996.gif" style="vertical-align:-11px" width="174"&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 align="middle" alt="y(x) = RootOf(-(Int(1/(2*cos(_a)+RootOf(-(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. y__IC))+x__IC+c__2))^(1/2), _a = 0 .. _Z))+x+c__2), y(x) = RootOf(Int(1/(2*cos(_a)+RootOf(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. y__IC)+x__IC+c__2))^(1/2), _a = 0 .. _Z)+x+c__2)" height="258" src="/view.aspx?sf=242540_question/a67f8256cc3ccbb55c07100afecaa0b7.gif" style="vertical-align:-196px" width="738"&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;img alt="ExpressionTools:-Compare(sol[1], [y(x) = RootOf(-(Int(1/(2*cos(_a)+RootOf(-(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. y__IC))+x__IC+c__2))^(1/2), _a = 0 .. _Z))+x+c__2), y(x) = RootOf(Int(1/(2*cos(_a)+RootOf(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. y__IC)+x__IC+c__2))^(1/2), _a = 0 .. _Z)+x+c__2)][1])" height="26" src="/view.aspx?sf=242540_question/29b5f4b4b766abf8d359646516db58e4.gif" style="vertical-align:-7px" width="768"&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 align="middle" alt="&amp;quot;([[y(x)=RootOf(-(&amp;amp;int;)[0]^_Z1/(sqrt(2 cos(_a)+RootOf(-(&amp;amp;int;)[0]^Pi1/(sqrt(2 cos(_a)+_Z)) &amp;amp;DifferentialD;_a+_a+`c__2`))) &amp;amp;DifferentialD;_a+x+`c__2`)],[[y(x)=RootOf(-(&amp;amp;int;)[0]^_Z1/(sqrt(2 cos(_a)+RootOf(-(&amp;amp;int;)[0]^`y__IC`1/(sqrt(2 cos(_a)+_Z)) &amp;amp;DifferentialD;_a+`x__IC`+`c__2`))) &amp;amp;DifferentialD;_a+x+`c__2`),y(x)=RootOf((&amp;amp;int;)[0]^_Z1/(sqrt(2 cos(_a)+RootOf((&amp;amp;int;)[0]^`y__IC`1/(sqrt(2 cos(_a)+_Z)) &amp;amp;DifferentialD;_a+`x__IC`+`c__2`))) &amp;amp;DifferentialD;_a+x+`c__2`)][1]]])&amp;quot;" height="350" src="/view.aspx?sf=242540_question/b6833dcc893f533dd381f4a96b987cf4.gif" style="vertical-align:-446px" width="738"&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;img alt="whattype(y(x) = RootOf(-(Int(1/(2*cos(_a)+RootOf(-(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. y__IC))+x__IC+c__2))^(1/2), _a = 0 .. _Z))+x+c__2), y(x) = RootOf(Int(1/(2*cos(_a)+RootOf(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. y__IC)+x__IC+c__2))^(1/2), _a = 0 .. _Z)+x+c__2))" height="26" src="/view.aspx?sf=242540_question/48ecbb8378db353b207b953540c337e5.gif" style="vertical-align:-7px" width="106"&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="exprseq" height="23" src="/view.aspx?sf=242540_question/d85c0809d576bc62fc7fb953da5bafa0.gif" style="vertical-align:-6px" width="52"&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;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="ExpressionTools:-Compare(sol[1], (y(x) = RootOf(-(Int(1/(2*cos(_a)+RootOf(-(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. y__IC))+x__IC+c__2))^(1/2), _a = 0 .. _Z))+x+c__2), y(x) = RootOf(Int(1/(2*cos(_a)+RootOf(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. y__IC)+x__IC+c__2))^(1/2), _a = 0 .. _Z)+x+c__2))[1])" height="26" src="/view.aspx?sf=242540_question/09db29b4624415c0b8167c3a9844da8a.gif" style="vertical-align:-7px" width="673"&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 align="middle" alt="&amp;quot;([[y(x)=RootOf(-(&amp;amp;int;)[0]^_Z1/(sqrt(2 cos(_a)+RootOf(-(&amp;amp;int;)[0]^Pi1/(sqrt(2 cos(_a)+_Z)) &amp;amp;DifferentialD;_a+_a+`c__2`))) &amp;amp;DifferentialD;_a+x+`c__2`)],[(y(x)=RootOf(-(&amp;amp;int;)[0]^_Z1/(sqrt(2 cos(_a)+RootOf(-(&amp;amp;int;)[0]^`y__IC`1/(sqrt(2 cos(_a)+_Z)) &amp;amp;DifferentialD;_a+`x__IC`+`c__2`))) &amp;amp;DifferentialD;_a+x+`c__2`),y(x)=RootOf((&amp;amp;int;)[0]^_Z1/(sqrt(2 cos(_a)+RootOf((&amp;amp;int;)[0]^`y__IC`1/(sqrt(2 cos(_a)+_Z)) &amp;amp;DifferentialD;_a+`x__IC`+`c__2`))) &amp;amp;DifferentialD;_a+x+`c__2`))[1]]])&amp;quot;" height="349" src="/view.aspx?sf=242540_question/7cef7558dfe9fa8faddea8d39a8160e1.gif" style="vertical-align:-446px" width="738"&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;img alt="NULL" height="23" src="/view.aspx?sf=242540_question/092b1e563c5f4ae0680c24e2896a21fa.gif" style="vertical-align:-6px" width="9"&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;img align="middle" alt="(y(x) = RootOf(-(Int(1/(2*cos(_a)+RootOf(-(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. y__IC))+x__IC+c__2))^(1/2), _a = 0 .. _Z))+x+c__2), y(x) = RootOf(Int(1/(2*cos(_a)+RootOf(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. y__IC)+x__IC+c__2))^(1/2), _a = 0 .. _Z)+x+c__2))[1]; ExpressionTools:-Compare(sol[1], %)" height="44" src="/view.aspx?sf=242540_question/5f20253cf766afc448ce8db0b39bdccf.gif" style="vertical-align:-25px" width="768"&gt;&lt;/p&gt;

			&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="y(x) = RootOf(-(Int(1/sqrt(2*cos(_a)+RootOf(-(Int(1/sqrt(2*cos(_a)+_Z), _a = 0 .. y__IC))+x__IC+c__2)), _a = 0 .. _Z))+x+c__2)" height="138" src="/view.aspx?sf=242540_question/5d0d56570f4540d02d9e0ea5231dc89b.gif" style="vertical-align:-74px" width="664"&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;
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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;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;img alt="NULL" height="23" src="/view.aspx?sf=242540_question/f97996cb2271a05fface75c55fdd342a.gif" style="vertical-align:-6px" width="11"&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;a href="/view.aspx?sf=242540_question/Compare_and_indexing_output.mw"&gt;Download Compare_and_indexing_output.mw&lt;/a&gt;&lt;/p&gt;
</description>
      <guid>242540</guid>
      <pubDate>Sat, 11 Apr 2026 18:14:12 Z</pubDate>
      <itunes:author>C_R</itunes:author>
      <author>C_R</author>
    </item>
    <item>
      <title>How much will the meadow cost?</title>
      <link>http://www.mapleprimes.com/questions/242539-How-Much-Will-The-Meadow-Cost?ref=Feed:MaplePrimes:New%20Questions%20&amp;amp;%20Posts</link>
      <itunes:summary>&lt;p&gt;With thanks to @sand and @janhardo for their help in solving a variational problem using Maple, I&amp;#39;m presenting a puzzle worth remembering. It was originally published in an IBM competition over 20 years ago under simpler conditions than those presented here, and later posed in a more challenging form in private circles:&lt;/p&gt;

&lt;p&gt;A farmer wants to buy a section of a large meadow/pasture for his sheep. He likes a lone, large oak tree on the meadow. This tree is to be the starting and ending point of the fence around the desired section. The fence is exactly 100 meters long. The farmer creates a sketch of the situation. He places the oak tree at the origin of a Cartesian coordinate system with a positive y-axis pointing north and sketches the estimated location of the desired meadow section east of the oak tree. The seller then stipulates that the price per square meter increases linearly eastward by a factor of 1/m&amp;sup3;. An agreement is reached, and the farmer now considers the optimal route for the fence to maximize the return on his investment.&lt;/p&gt;

&lt;p&gt;The fence route without corners&amp;nbsp;and the value of the purchased meadow must be calculated.&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;With thanks to @sand and @janhardo for their help in solving a variational problem using Maple, I&amp;#39;m presenting a puzzle worth remembering. It was originally published in an IBM competition over 20 years ago under simpler conditions than those presented here, and later posed in a more challenging form in private circles:&lt;/p&gt;

&lt;p&gt;A farmer wants to buy a section of a large meadow/pasture for his sheep. He likes a lone, large oak tree on the meadow. This tree is to be the starting and ending point of the fence around the desired section. The fence is exactly 100 meters long. The farmer creates a sketch of the situation. He places the oak tree at the origin of a Cartesian coordinate system with a positive y-axis pointing north and sketches the estimated location of the desired meadow section east of the oak tree. The seller then stipulates that the price per square meter increases linearly eastward by a factor of 1/m&amp;sup3;. An agreement is reached, and the farmer now considers the optimal route for the fence to maximize the return on his investment.&lt;/p&gt;

&lt;p&gt;The fence route without corners&amp;nbsp;and the value of the purchased meadow must be calculated.&lt;/p&gt;
</description>
      <guid>242539</guid>
      <pubDate>Sat, 11 Apr 2026 09:38:10 Z</pubDate>
      <itunes:author>Alfred_F</itunes:author>
      <author>Alfred_F</author>
    </item>
    <item>
      <title>A Sphere with Latitude circles and longitude circles</title>
      <link>http://www.mapleprimes.com/questions/242537-A-Sphere-With-Latitude-Circles-And-Longitude?ref=Feed:MaplePrimes:New%20Questions%20&amp;amp;%20Posts</link>
      <itunes:summary>&lt;p&gt;Dear Maple users&lt;/p&gt;

&lt;p&gt;I can easily draw a sphere with the following command:&lt;/p&gt;

&lt;p&gt;plot3d(1, t = -Pi .. Pi, p = 0 .. Pi, coords = spherical)&lt;/p&gt;

&lt;p&gt;&lt;span class="HwtZe"&gt;&lt;span class="jCAhz ChMk0b"&gt;&lt;span class="ryNqvb"&gt;Let&amp;#39;s say I want to change the number of latitude circles so that there is one for every 10 degrees?&lt;/span&gt;&lt;/span&gt; &lt;span class="jCAhz ChMk0b"&gt;&lt;span class="ryNqvb"&gt;Longitude circles are given for every 15 degrees, which is appropriate - corresponding to one for every hour!&lt;/span&gt;&lt;/span&gt; &lt;span class="jCAhz ChMk0b"&gt;&lt;span class="ryNqvb"&gt;But in general: Is there a way to change the number of circles of both types?&lt;/span&gt;&lt;/span&gt; &lt;span class="jCAhz ChMk0b"&gt;&lt;span class="ryNqvb"&gt;Or maybe you need to piece together a plot of several kinds of plots?&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p&gt;&lt;span class="HwtZe"&gt;&lt;span class="jCAhz ChMk0b"&gt;&lt;span class="ryNqvb"&gt;Erik&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;Dear Maple users&lt;/p&gt;

&lt;p&gt;I can easily draw a sphere with the following command:&lt;/p&gt;

&lt;p&gt;plot3d(1, t = -Pi .. Pi, p = 0 .. Pi, coords = spherical)&lt;/p&gt;

&lt;p&gt;&lt;span class="HwtZe" jsaction="mouseup:Sxi9L,BR6jm; mousedown:qjlr0e" jsname="jqKxS" lang="en"&gt;&lt;span class="jCAhz ChMk0b" jsaction="agoMJf:PFBcW;MZfLnc:P7O7bd;nt4Alf:pvnm0e,pfE8Hb,PFBcW;B01qod:dJXsye;H1e5u:iXtTIf;lYIUJf:hij5Wb;tSpjdb:qAKMYb" jscontroller="BiTO4b" jsname="txFAF"&gt;&lt;span class="ryNqvb" jsaction="click:PDNqTc,GFf3ac,qlVvte;contextmenu:Nqw7Te,QP7LD; mouseout:Nqw7Te; mouseover:PDNqTc,c2aHje" jsname="W297wb"&gt;Let&amp;#39;s say I want to change the number of latitude circles so that there is one for every 10 degrees?&lt;/span&gt;&lt;/span&gt; &lt;span class="jCAhz ChMk0b" jsaction="agoMJf:PFBcW;MZfLnc:P7O7bd;nt4Alf:pvnm0e,pfE8Hb,PFBcW;B01qod:dJXsye;H1e5u:iXtTIf;lYIUJf:hij5Wb;tSpjdb:qAKMYb" jscontroller="BiTO4b" jsname="txFAF"&gt;&lt;span class="ryNqvb" jsaction="click:PDNqTc,GFf3ac,qlVvte;contextmenu:Nqw7Te,QP7LD; mouseout:Nqw7Te; mouseover:PDNqTc,c2aHje" jsname="W297wb"&gt;Longitude circles are given for every 15 degrees, which is appropriate - corresponding to one for every hour!&lt;/span&gt;&lt;/span&gt; &lt;span class="jCAhz ChMk0b" jsaction="agoMJf:PFBcW;MZfLnc:P7O7bd;nt4Alf:pvnm0e,pfE8Hb,PFBcW;B01qod:dJXsye;H1e5u:iXtTIf;lYIUJf:hij5Wb;tSpjdb:qAKMYb" jscontroller="BiTO4b" jsname="txFAF"&gt;&lt;span class="ryNqvb" jsaction="click:PDNqTc,GFf3ac,qlVvte;contextmenu:Nqw7Te,QP7LD; mouseout:Nqw7Te; mouseover:PDNqTc,c2aHje" jsname="W297wb"&gt;But in general: Is there a way to change the number of circles of both types?&lt;/span&gt;&lt;/span&gt; &lt;span class="jCAhz ChMk0b" jsaction="agoMJf:PFBcW;MZfLnc:P7O7bd;nt4Alf:pvnm0e,pfE8Hb,PFBcW;B01qod:dJXsye;H1e5u:iXtTIf;lYIUJf:hij5Wb;tSpjdb:qAKMYb" jscontroller="BiTO4b" jsname="txFAF"&gt;&lt;span class="ryNqvb" jsaction="click:PDNqTc,GFf3ac,qlVvte;contextmenu:Nqw7Te,QP7LD; mouseout:Nqw7Te; mouseover:PDNqTc,c2aHje" jsname="W297wb"&gt;Or maybe you need to piece together a plot of several kinds of plots?&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p&gt;&lt;span class="HwtZe" jsaction="mouseup:Sxi9L,BR6jm; mousedown:qjlr0e" jsname="jqKxS" lang="en"&gt;&lt;span class="jCAhz ChMk0b" jsaction="agoMJf:PFBcW;MZfLnc:P7O7bd;nt4Alf:pvnm0e,pfE8Hb,PFBcW;B01qod:dJXsye;H1e5u:iXtTIf;lYIUJf:hij5Wb;tSpjdb:qAKMYb" jscontroller="BiTO4b" jsname="txFAF"&gt;&lt;span class="ryNqvb" jsaction="click:PDNqTc,GFf3ac,qlVvte;contextmenu:Nqw7Te,QP7LD; mouseout:Nqw7Te; mouseover:PDNqTc,c2aHje" jsname="W297wb"&gt;Erik&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
</description>
      <guid>242537</guid>
      <pubDate>Fri, 10 Apr 2026 22:00:48 Z</pubDate>
      <itunes:author>erik10</itunes:author>
      <author>erik10</author>
    </item>
    <item>
      <title>Factorizing nested radicals</title>
      <link>http://www.mapleprimes.com/questions/242536-Factorizing-Nested-Radicals?ref=Feed:MaplePrimes:New%20Questions%20&amp;amp;%20Posts</link>
      <itunes:summary>&lt;p&gt;# The question is: how to get S knowing E?&amp;nbsp; All the attemps below after S assigned (suggested by Claude) fail factoring E.&amp;nbsp;&amp;nbsp;&lt;br&gt;
&lt;br&gt;
restart;&lt;/p&gt;

&lt;p&gt;interface(showassumed = 0):&amp;nbsp;&lt;br&gt;
assume(a&amp;gt;=0, b&amp;gt;=0, c&amp;gt;=0);&lt;br&gt;
assume(x::real, y::real,z::real);&lt;/p&gt;

&lt;p&gt;S := sqrt(x^2+(a+sqrt(y^2+(b+sqrt(z^2+c^2))^2))^2):&lt;br&gt;
E := expand(S):&lt;br&gt;
simplify(E,sqrt):&lt;br&gt;
combine(E,sqrt):&lt;br&gt;
simplify(combine(E, sqrt), sqrt):&lt;br&gt;
evalindets(E, &amp;#39;radical&amp;#39;, f -&amp;gt; simplify(f, sqrt)):&lt;br&gt;
simplify(radnormal(E), sqrt):&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;# The question is: how to get S knowing E?&amp;nbsp; All the attemps below after S assigned (suggested by Claude) fail factoring E.&amp;nbsp;&amp;nbsp;&lt;br /&gt;
&lt;br /&gt;
restart;&lt;/p&gt;

&lt;p&gt;interface(showassumed = 0):&amp;nbsp;&lt;br /&gt;
assume(a&amp;gt;=0, b&amp;gt;=0, c&amp;gt;=0);&lt;br /&gt;
assume(x::real, y::real,z::real);&lt;/p&gt;

&lt;p&gt;S := sqrt(x^2+(a+sqrt(y^2+(b+sqrt(z^2+c^2))^2))^2):&lt;br /&gt;
E := expand(S):&lt;br /&gt;
simplify(E,sqrt):&lt;br /&gt;
combine(E,sqrt):&lt;br /&gt;
simplify(combine(E, sqrt), sqrt):&lt;br /&gt;
evalindets(E, &amp;#39;radical&amp;#39;, f -&amp;gt; simplify(f, sqrt)):&lt;br /&gt;
simplify(radnormal(E), sqrt):&lt;/p&gt;
</description>
      <guid>242536</guid>
      <pubDate>Fri, 10 Apr 2026 16:21:44 Z</pubDate>
      <itunes:author>danielpf</itunes:author>
      <author>danielpf</author>
    </item>
    <item>
      <title>How to concatenate Matrices?</title>
      <link>http://www.mapleprimes.com/questions/242531-How-To-Concatenate-Matrices?ref=Feed:MaplePrimes:New%20Questions%20&amp;amp;%20Posts</link>
      <itunes:summary>&lt;p&gt;&amp;nbsp;My question concerns such situation:&lt;/p&gt;

&lt;p&gt;&amp;nbsp;how to concatenate the following matrices:&lt;/p&gt;

&lt;p&gt;&lt;img alt="Matrix([[-2, 1, 0, 0, 0, 0, 0, 0], [1, -2, 1, 0, 0, 0, 0, 0], [0, 1, -2, 1, 0, 0, 0, 0], [0, 0, 1, -2, 1, 0, 0, 0], [0, 0, 0, 1, -2, 1, 0, 0], [0, 0, 0, 0, 1, -2, 1, 0], [0, 0, 0, 0, 0, 1, -2, 1], [0, 0, 0, 0, 0, 0, 1, -2]])/(1/50)^2" src="http://www.mapleprimes.com/MapleImage.ashx?f=4e6ae898d66c7081710a929d169e194d.gif"&gt;&lt;/p&gt;

&lt;p&gt;&lt;img alt="Matrix([[0, 0, 0, 0, 0, 0, 0, 0], [1, -2, 1, 0, 0, 0, 0, 0], [0, 1, -2, 1, 0, 0, 0, 0], [0, 0, 1, -2, 1, 0, 0, 0], [0, 0, 0, 1, -2, 1, 0, 0], [0, 0, 0, 0, 1, -2, 1, 0], [0, 0, 0, 0, 0, 1, -2, 1], [0, 0, 0, 0, 0, 0, 1, -2]])" src="http://www.mapleprimes.com/MapleImage.ashx?f=bfa1851f9cce44c9f797adc060e27c49.gif"&gt;&lt;/p&gt;

&lt;p&gt;&lt;img alt="Matrix([[-2, 1, 0, 0, 0, 0, 0, 0], [1, -2, 1, 0, 0, 0, 0, 0], [0, 1, -2, 1, 0, 0, 0, 0], [0, 0, 1, -2, 1, 0, 0, 0], [0, 0, 0, 1, -2, 1, 0, 0], [0, 0, 0, 0, 1, -2, 1, 0], [0, 0, 0, 0, 0, 1, -2, 1], [0, 0, 0, 0, 0, 0, 1, -2]])/(1/25)^2" src="http://www.mapleprimes.com/MapleImage.ashx?f=aceaa2184bcf8fc550403605a91d3d08.gif"&gt;&lt;/p&gt;

&lt;p&gt;and&lt;/p&gt;

&lt;p&gt;&lt;img alt="1/3*Matrix([[0, 0, 0, 0, 0, 0, 0, 0], [1, -2, 1, 0, 0, 0, 0, 0], [0, 1, -2, 1, 0, 0, 0, 0], [0, 0, 1, -2, 1, 0, 0, 0], [0, 0, 0, 1, -2, 1, 0, 0], [0, 0, 0, 0, 1, -2, 1, 0], [0, 0, 0, 0, 0, 1, -2, 1], [0, 0, 0, 0, 0, 0, 1, -2]])" src="http://www.mapleprimes.com/MapleImage.ashx?f=a452bb6b154fab0185eeea3e200c64d7.gif"&gt;&lt;/p&gt;

&lt;p&gt;????&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;&amp;nbsp;My question concerns such situation:&lt;/p&gt;

&lt;p&gt;&amp;nbsp;how to concatenate the following matrices:&lt;/p&gt;

&lt;p&gt;&lt;img alt="Matrix([[-2, 1, 0, 0, 0, 0, 0, 0], [1, -2, 1, 0, 0, 0, 0, 0], [0, 1, -2, 1, 0, 0, 0, 0], [0, 0, 1, -2, 1, 0, 0, 0], [0, 0, 0, 1, -2, 1, 0, 0], [0, 0, 0, 0, 1, -2, 1, 0], [0, 0, 0, 0, 0, 1, -2, 1], [0, 0, 0, 0, 0, 0, 1, -2]])/(1/50)^2" src="http://www.mapleprimes.com/MapleImage.ashx?f=4e6ae898d66c7081710a929d169e194d.gif" /&gt;&lt;/p&gt;

&lt;p&gt;&lt;img alt="Matrix([[0, 0, 0, 0, 0, 0, 0, 0], [1, -2, 1, 0, 0, 0, 0, 0], [0, 1, -2, 1, 0, 0, 0, 0], [0, 0, 1, -2, 1, 0, 0, 0], [0, 0, 0, 1, -2, 1, 0, 0], [0, 0, 0, 0, 1, -2, 1, 0], [0, 0, 0, 0, 0, 1, -2, 1], [0, 0, 0, 0, 0, 0, 1, -2]])" src="http://www.mapleprimes.com/MapleImage.ashx?f=bfa1851f9cce44c9f797adc060e27c49.gif" /&gt;&lt;/p&gt;

&lt;p&gt;&lt;img alt="Matrix([[-2, 1, 0, 0, 0, 0, 0, 0], [1, -2, 1, 0, 0, 0, 0, 0], [0, 1, -2, 1, 0, 0, 0, 0], [0, 0, 1, -2, 1, 0, 0, 0], [0, 0, 0, 1, -2, 1, 0, 0], [0, 0, 0, 0, 1, -2, 1, 0], [0, 0, 0, 0, 0, 1, -2, 1], [0, 0, 0, 0, 0, 0, 1, -2]])/(1/25)^2" src="http://www.mapleprimes.com/MapleImage.ashx?f=aceaa2184bcf8fc550403605a91d3d08.gif" /&gt;&lt;/p&gt;

&lt;p&gt;and&lt;/p&gt;

&lt;p&gt;&lt;img alt="1/3*Matrix([[0, 0, 0, 0, 0, 0, 0, 0], [1, -2, 1, 0, 0, 0, 0, 0], [0, 1, -2, 1, 0, 0, 0, 0], [0, 0, 1, -2, 1, 0, 0, 0], [0, 0, 0, 1, -2, 1, 0, 0], [0, 0, 0, 0, 1, -2, 1, 0], [0, 0, 0, 0, 0, 1, -2, 1], [0, 0, 0, 0, 0, 0, 1, -2]])" src="http://www.mapleprimes.com/MapleImage.ashx?f=a452bb6b154fab0185eeea3e200c64d7.gif" /&gt;&lt;/p&gt;

&lt;p&gt;????&lt;/p&gt;
</description>
      <guid>242531</guid>
      <pubDate>Wed, 08 Apr 2026 15:56:00 Z</pubDate>
      <itunes:author>Lukasz</itunes:author>
      <author>Lukasz</author>
    </item>
    <item>
      <title>Replacing placeholder names in nested RootOfs</title>
      <link>http://www.mapleprimes.com/questions/242527-Replacing-Placeholder-Names-In-Nested-RootOfs?ref=Feed:MaplePrimes:New%20Questions%20&amp;amp;%20Posts</link>
      <itunes:summary>&lt;p&gt;Is there an easier or shorter way to do the following? Any handy package command?&lt;/p&gt;

&lt;form name="worksheet_form"&gt;&lt;input name="md.ref" type="hidden" value="A8ACC2D9582B64937FAF5F6367E94735"&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="RootOf(-(Int(1/sqrt(2*cos(_a)+RootOf(-(Int(1/sqrt(2*cos(_a)+_Z), _a = 0 .. Pi))+_a+c__2)), _a = 0 .. _Z))+x+c__2)" height="123" src="/view.aspx?sf=242527_question/c5a7e2f69cdf47fdaa50ca030b13acb7.gif" style="vertical-align:-64px" width="602"&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="RootOf(-(Int(1/(2*cos(_a)+RootOf(-(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. Pi))+_a+c__2))^(1/2), _a = 0 .. _Z))+x+c__2)" height="123" src="/view.aspx?sf=242527_question/d9aaa080f4d6071fcb1c20cd2db44113.gif" style="vertical-align:-64px" width="599"&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="indets(RootOf(-(Int(1/(2*cos(_a)+RootOf(-(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. Pi))+_a+c__2))^(1/2), _a = 0 .. _Z))+x+c__2), 'specfunc(anything, RootOf)')" height="26" src="/view.aspx?sf=242527_question/38a37f23457bb0634619d2f5c2537226.gif" style="vertical-align:-7px" width="262"&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 align="middle" alt="{RootOf(-(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. Pi))+_a+c__2), RootOf(-(Int(1/(2*cos(_a)+RootOf(-(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. Pi))+_a+c__2))^(1/2), _a = 0 .. _Z))+x+c__2)}" height="240" src="/view.aspx?sf=242527_question/71b6c9c0fe0aaa45a27fb5d3a91009eb.gif" style="vertical-align:-181px" width="738"&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="subs(_a = _b, {RootOf(-(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. Pi))+_a+c__2), RootOf(-(Int(1/(2*cos(_a)+RootOf(-(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. Pi))+_a+c__2))^(1/2), _a = 0 .. _Z))+x+c__2)}[1])" height="26" src="/view.aspx?sf=242527_question/6c777483f114259ef30443f70ac0d174.gif" style="vertical-align:-7px" width="151"&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="RootOf(-(Int(1/(2*cos(_b)+_Z)^(1/2), _b = 0 .. Pi))+_b+c__2)" height="67" src="/view.aspx?sf=242527_question/dcd2c6b79f1906a90562d1fd61d44ee1.gif" style="vertical-align:-27px" width="306"&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="subs({RootOf(-(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. Pi))+_a+c__2), RootOf(-(Int(1/(2*cos(_a)+RootOf(-(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. Pi))+_a+c__2))^(1/2), _a = 0 .. _Z))+x+c__2)}[1] = RootOf(-(Int(1/(2*cos(_b)+_Z)^(1/2), _b = 0 .. Pi))+_b+c__2), RootOf(-(Int(1/(2*cos(_a)+RootOf(-(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. Pi))+_a+c__2))^(1/2), _a = 0 .. _Z))+x+c__2))" height="26" src="/view.aspx?sf=242527_question/0dd21d051013578c408cd114aca546d6.gif" style="vertical-align:-7px" width="175"&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="RootOf(-(Int(1/(2*cos(_a)+RootOf(-(Int(1/(2*cos(_b)+_Z)^(1/2), _b = 0 .. Pi))+_b+c__2))^(1/2), _a = 0 .. _Z))+x+c__2)" height="123" src="/view.aspx?sf=242527_question/c4390a97ff6c1bea51516dd061a7bcf0.gif" style="vertical-align:-64px" width="599"&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;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=242527_question/7a64d34d2ec08ab8d0046449064c8eb1.gif" style="vertical-align:-6px" width="9"&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;Related question: Is that substitution mathematically correct or does the _a belong to the outermost RootOf?&lt;/p&gt;

&lt;p&gt;&lt;a href="/view.aspx?sf=242527_question/parameters_in_nested_RootOf.mw"&gt;Download parameters_in_nested_RootOf.mw&lt;/a&gt;&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;Is there an easier or shorter way to do the following? Any handy package command?&lt;/p&gt;

&lt;form name="worksheet_form"&gt;&lt;input name="md.ref" type="hidden" value="A8ACC2D9582B64937FAF5F6367E94735"&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="RootOf(-(Int(1/sqrt(2*cos(_a)+RootOf(-(Int(1/sqrt(2*cos(_a)+_Z), _a = 0 .. Pi))+_a+c__2)), _a = 0 .. _Z))+x+c__2)" height="123" src="/view.aspx?sf=242527_question/c5a7e2f69cdf47fdaa50ca030b13acb7.gif" style="vertical-align:-64px" width="602"&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="RootOf(-(Int(1/(2*cos(_a)+RootOf(-(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. Pi))+_a+c__2))^(1/2), _a = 0 .. _Z))+x+c__2)" height="123" src="/view.aspx?sf=242527_question/d9aaa080f4d6071fcb1c20cd2db44113.gif" style="vertical-align:-64px" width="599"&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="indets(RootOf(-(Int(1/(2*cos(_a)+RootOf(-(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. Pi))+_a+c__2))^(1/2), _a = 0 .. _Z))+x+c__2), 'specfunc(anything, RootOf)')" height="26" src="/view.aspx?sf=242527_question/38a37f23457bb0634619d2f5c2537226.gif" style="vertical-align:-7px" width="262"&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 align="middle" alt="{RootOf(-(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. Pi))+_a+c__2), RootOf(-(Int(1/(2*cos(_a)+RootOf(-(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. Pi))+_a+c__2))^(1/2), _a = 0 .. _Z))+x+c__2)}" height="240" src="/view.aspx?sf=242527_question/71b6c9c0fe0aaa45a27fb5d3a91009eb.gif" style="vertical-align:-181px" width="738"&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="subs(_a = _b, {RootOf(-(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. Pi))+_a+c__2), RootOf(-(Int(1/(2*cos(_a)+RootOf(-(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. Pi))+_a+c__2))^(1/2), _a = 0 .. _Z))+x+c__2)}[1])" height="26" src="/view.aspx?sf=242527_question/6c777483f114259ef30443f70ac0d174.gif" style="vertical-align:-7px" width="151"&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="RootOf(-(Int(1/(2*cos(_b)+_Z)^(1/2), _b = 0 .. Pi))+_b+c__2)" height="67" src="/view.aspx?sf=242527_question/dcd2c6b79f1906a90562d1fd61d44ee1.gif" style="vertical-align:-27px" width="306"&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="subs({RootOf(-(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. Pi))+_a+c__2), RootOf(-(Int(1/(2*cos(_a)+RootOf(-(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. Pi))+_a+c__2))^(1/2), _a = 0 .. _Z))+x+c__2)}[1] = RootOf(-(Int(1/(2*cos(_b)+_Z)^(1/2), _b = 0 .. Pi))+_b+c__2), RootOf(-(Int(1/(2*cos(_a)+RootOf(-(Int(1/(2*cos(_a)+_Z)^(1/2), _a = 0 .. Pi))+_a+c__2))^(1/2), _a = 0 .. _Z))+x+c__2))" height="26" src="/view.aspx?sf=242527_question/0dd21d051013578c408cd114aca546d6.gif" style="vertical-align:-7px" width="175"&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="RootOf(-(Int(1/(2*cos(_a)+RootOf(-(Int(1/(2*cos(_b)+_Z)^(1/2), _b = 0 .. Pi))+_b+c__2))^(1/2), _a = 0 .. _Z))+x+c__2)" height="123" src="/view.aspx?sf=242527_question/c4390a97ff6c1bea51516dd061a7bcf0.gif" style="vertical-align:-64px" width="599"&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;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=242527_question/7a64d34d2ec08ab8d0046449064c8eb1.gif" style="vertical-align:-6px" width="9"&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;Related question: Is that substitution mathematically correct or does the _a belong to the outermost RootOf?&lt;/p&gt;

&lt;p&gt;&lt;a href="/view.aspx?sf=242527_question/parameters_in_nested_RootOf.mw"&gt;Download parameters_in_nested_RootOf.mw&lt;/a&gt;&lt;/p&gt;
</description>
      <guid>242527</guid>
      <pubDate>Wed, 08 Apr 2026 05:32:52 Z</pubDate>
      <itunes:author>C_R</itunes:author>
      <author>C_R</author>
    </item>
  </channel>
</rss>