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    <title>MaplePrimes - Unanswered Questions</title>
    <link>http://www.mapleprimes.com/questions</link>
    <language>en-us</language>
    <copyright>2026 Maplesoft, A Division of Waterloo Maple Inc.</copyright>
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    <lastBuildDate>Sat, 25 Apr 2026 10:46:19 GMT</lastBuildDate>
    <pubDate>Sat, 25 Apr 2026 10:46:19 GMT</pubDate>
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    <itunes:summary />
    <description>Questions asked on MaplePrimes that have not yet received an answer</description>
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      <title>MaplePrimes - Unanswered Questions</title>
      <link>http://www.mapleprimes.com/questions</link>
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    <item>
      <title>Wrong root of sinc expression</title>
      <link>http://www.mapleprimes.com/questions/243561-Wrong-Root-Of-Sinc-Expression?ref=Feed:MaplePrimes:Unanswered Questions</link>
      <itunes:summary>&lt;p&gt;&lt;span style="font-size:16px;"&gt;Here is another case where an incorrect solution of a &lt;strong&gt;non-algebraic&lt;/strong&gt; expression is returned.&amp;nbsp;&lt;/span&gt;&lt;/p&gt;

&lt;p&gt;&lt;span style="font-size:16px;"&gt;How to make Maple exclude solutions obtained with allsolutions where the expression is not defined?&lt;br&gt;
&lt;br&gt;
IMO, allsolutions facilities of Maple should do this automatically. Anything from a mathematical point of view that speaks against an automatic exclusion?&lt;/span&gt;&lt;/p&gt;

&lt;p&gt;&lt;span style="font-size:16px;"&gt;(Are there other commands that provide a correct solution?)&amp;nbsp;&lt;/span&gt;&lt;/p&gt;

&lt;p&gt;&lt;span style="font-size:16px;"&gt;By the way:&lt;/span&gt;&lt;br&gt;
&amp;nbsp;&lt;/p&gt;

&lt;pre class="prettyprint"&gt;
solve(sin(x)/x)&lt;/pre&gt;

&lt;p&gt;&lt;br&gt;
&lt;span style="font-size:16px;"&gt;does not return a single solution as stated on the solve help page (&amp;quot;In general for transcendental equations, the solve command returns only one solution,...&amp;quot;) because solve &lt;strong&gt;correctly &lt;/strong&gt;discards x=0 but does not consider returning x=pi.&lt;/span&gt;&lt;/p&gt;

&lt;p&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;img alt="expr := sin(x)/x" height="42" src="/view.aspx?sf=243561_question/62d58488ec745fb46a32fea390c8708c.gif" style="vertical-align:-16px" width="108"&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="sin(x)/x" height="42" src="/view.aspx?sf=243561_question/3eb1080f89351354fa79bfa6d1881458.gif" style="vertical-align:-16px" width="105"&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:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;The above expression is not defined at &lt;/span&gt;&lt;img alt="x = 0" height="22" src="/view.aspx?sf=243561_question/efc1dc6cc6fe68bbb095c96c985dd1b7.gif" style="vertical-align:-6px" 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;(2)&lt;/td&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;a href="http://www.maplesoft.com/support/help/errors/view.aspx?path=Error,%20(in%20value%2FEval)%20numeric%20exception%3A%20division%20by%20zero"&gt;&lt;span style="color:#ab29cc;font-size: 100%;font-family: monospace,monospace;font-weight:normal;font-style:normal;"&gt;&lt;u&gt;Error, (in value/Eval) numeric exception: division by zero&lt;/u&gt;&lt;/span&gt;&lt;/a&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:#000000;font-size: 133%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;Roots of the expression with RootOf&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;(3)&lt;/td&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;span style="color:#0000ff;font-size: 100%;font-family: monospace,monospace;font-weight:normal;font-style:normal;"&gt;&amp;nbsp;&amp;nbsp;is assumed to be: integer&lt;/span&gt;&lt;br&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 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 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;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="true" height="23" src="/view.aspx?sf=243561_question/1fe8fc3c62b0706155566129eaa071e2.gif" style="vertical-align:-6px" width="30"&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;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;The above should be false because &lt;/span&gt;&lt;img alt="expr" height="22" src="/view.aspx?sf=243561_question/dc75da387b714ad186417d983bbbb653.gif" style="vertical-align:-6px" width="30"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;&amp;nbsp;is not defined for &lt;/span&gt;&lt;img alt="_Z1 = 0." height="23" src="/view.aspx?sf=243561_question/c879ba4d6344fcfebd6b1ec9de192850.gif" style="vertical-align:-6px" width="59"&gt;&lt;span style="color:#000000;font-size: 100%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;However, this is what automatic simplifcation does &lt;/span&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;behind the scenes &lt;/span&gt;&lt;span style="color:#000000;font-size: 100%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;with the output &lt;/span&gt;&lt;span style="color:#000000; font-weight:bold; font-style:normal;"&gt;(7)&lt;/span&gt;&lt;span style="color:#000000;font-size: 100%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;&amp;nbsp;&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;(9)&lt;/td&gt;
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				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;For this particular case Maple should have returned a special name expressing nonzero integers, like &lt;/span&gt;&lt;img alt="_NZ" height="23" src="/view.aspx?sf=243561_question/7fa87c37194bdbf3a66e6a89b7d92c26.gif" style="vertical-align:-6px" width="31"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;&amp;nbsp;. &lt;/span&gt;&lt;br&gt;
			&lt;img alt="`&amp;amp;Zopf;__&amp;amp;ne;0`" height="30" src="/view.aspx?sf=243561_question/87504f18a3c5a0e8639722b11ee156a1.gif" style="vertical-align:-14px" width="41"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;or &lt;/span&gt;&lt;img alt="`minus`(integer, {0})" height="22" src="/view.aspx?sf=243561_question/fa2fe73f48d03436811e1dc05b1951df.gif" style="vertical-align:-6px" width="54"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;or &lt;/span&gt;&lt;img alt="`#msup(mi(&amp;quot;&amp;amp;Zopf;&amp;quot;,fontstyle = &amp;quot;normal&amp;quot;),mo(&amp;quot;&amp;amp;ast;&amp;quot;))`" height="29" src="/view.aspx?sf=243561_question/6216d2a0e67f8b9e0e49295103f2c4aa.gif" style="vertical-align:-11px" width="29"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;are common symbols for that&lt;/span&gt;&lt;br&gt;
			&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;So &lt;/span&gt;&lt;img alt="_Z" height="23" src="/view.aspx?sf=243561_question/5a545240155e22e35ae9f5c7f44d437f.gif" style="vertical-align:-6px" width="24"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;is incorrect in the solution and automatic simplification does something wrong.&lt;/span&gt;&lt;br&gt;
			&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;Only substituing everything at once leads to a correct response:&lt;/span&gt;&lt;/p&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="subs(x = sol, _Z1 = 0, expr)" height="23" src="/view.aspx?sf=243561_question/cc2bce279fc4c0fc9864365895fd143c.gif" style="vertical-align:-6px" width="171"&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="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;a href="http://www.maplesoft.com/support/help/errors/view.aspx?path=Error,%20numeric%20exception%3A%20division%20by%20zero"&gt;&lt;span style="color:#ab29cc;font-size: 100%;font-family: monospace,monospace;font-weight:normal;font-style:normal;"&gt;&lt;u&gt;Error, numeric exception: division by zero&lt;/u&gt;&lt;/span&gt;&lt;/a&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;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;br&gt;
			&lt;span style="color:#000000;font-size: 133%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;Solve&lt;/span&gt;&lt;/p&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="solve(expr, x)" height="23" src="/view.aspx?sf=243561_question/ed1563f03b3d4344a751b78a675aec95.gif" style="vertical-align:-6px" width="89"&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="x_sol := [solve(expr, x, allsolutions)]" height="23" src="/view.aspx?sf=243561_question/36d1033eeec260118b37cbaede13560b.gif" style="vertical-align:-6px" width="236"&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="[2*Pi*_Z2, Pi*(2*_Z2+1)]" height="26" src="/view.aspx?sf=243561_question/fdcc7d15441504a9b5fb1e8e90b4e33d.gif" style="vertical-align:-7px" width="228"&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;img alt="indets(x_sol)" height="23" src="/view.aspx?sf=243561_question/e509b4009a312c237f15682cb9ded0f3.gif" style="vertical-align:-6px" width="86"&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="{_Z2}" height="23" src="/view.aspx?sf=243561_question/2d6c04ac70a6ea1025f5ba14747c920c.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;(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;img alt="subs(x = x_sol[1], expr) = 0" height="23" src="/view.aspx?sf=243561_question/d9c4c4b10c0429536fbd0235507c59d7.gif" style="vertical-align:-6px" width="178"&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="(1/2)*sin(2*Pi*_Z2)/(Pi*_Z2) = 0" height="48" src="/view.aspx?sf=243561_question/a0ae655bd4badfc2bad3fd3a13fbdf27.gif" style="vertical-align:-19px" width="124"&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;img alt="is((1/2)*sin(2*Pi*_Z2)/(Pi*_Z2) = 0)" height="26" src="/view.aspx?sf=243561_question/7641023777d14373db1d9c1d81dcdcb2.gif" style="vertical-align:-7px" width="68"&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="true" height="23" src="/view.aspx?sf=243561_question/8eaf422e8704d424b8fcd21bbac5fe59.gif" style="vertical-align:-6px" width="30"&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;img alt="(1/2)*sin(2*Pi*_Z2)/(Pi*_Z2) = 0" height="26" src="/view.aspx?sf=243561_question/d2a51a4634a9be4cd36ad518c4a520ad.gif" style="vertical-align:-7px" width="45"&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="0 = 0" height="23" src="/view.aspx?sf=243561_question/e4a1360f66a7f0995a13ebcd31bff1bb.gif" style="vertical-align:-6px" width="36"&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;img alt="subs(x = x_sol[1], _Z2 = 0, expr) = 0" height="23" src="/view.aspx?sf=243561_question/cd018cfe918fb0e9dcb177f1c636ba26.gif" style="vertical-align:-6px" width="227"&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="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;a href="http://www.maplesoft.com/support/help/errors/view.aspx?path=Error,%20numeric%20exception%3A%20division%20by%20zero"&gt;&lt;span style="color:#ab29cc;font-size: 100%;font-family: monospace,monospace;font-weight:normal;font-style:normal;"&gt;&lt;u&gt;Error, numeric exception: division by zero&lt;/u&gt;&lt;/span&gt;&lt;/a&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;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;Again &lt;/span&gt;&lt;img alt="_Z2 = 0" height="23" src="/view.aspx?sf=243561_question/3e1c05b6e9c9a71a999861e7a8ff221b.gif" style="vertical-align:-6px" width="55"&gt;&lt;span style="color:#000000;font-size: 100%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;is not a valid solution for the first solution but&lt;/span&gt;&lt;img alt="NULL" height="23" src="/view.aspx?sf=243561_question/711b654ed2fd0489ea6812b90171fcfe.gif" style="vertical-align:-6px" width="9"&gt;&lt;span style="color:#000000;font-size: 100%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;works for the second solution&lt;/span&gt;&lt;/p&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="subs(x = x_sol[2], expr) = 0" height="23" src="/view.aspx?sf=243561_question/fe31145fad860ce48833541b7d964f32.gif" style="vertical-align:-6px" width="178"&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="sin(Pi*(2*_Z2+1))/(Pi*(2*_Z2+1)) = 0" height="48" src="/view.aspx?sf=243561_question/a35e6ceaf225073bef0133676243d4b5.gif" style="vertical-align:-19px" width="165"&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;(15)&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="is(sin(Pi*(2*_Z2+1))/(Pi*(2*_Z2+1)) = 0)" height="26" src="/view.aspx?sf=243561_question/1e99fef86eb090afee39dc03ee60b88d.gif" style="vertical-align:-7px" width="68"&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="true" height="23" src="/view.aspx?sf=243561_question/eab67ac002c74f69f55919b01a03037b.gif" style="vertical-align:-6px" width="30"&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;(16)&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="sin(Pi*(2*_Z2+1))/(Pi*(2*_Z2+1)) = 0" height="26" src="/view.aspx?sf=243561_question/864ac0da05ee8be1fbd27cab6389e7de.gif" style="vertical-align:-7px" width="45"&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="0 = 0" height="23" src="/view.aspx?sf=243561_question/f8b79c28ebbddd424f69ea582fcf7de4.gif" style="vertical-align:-6px" width="36"&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;(17)&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;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;Substituing everything at once works&lt;/span&gt;&lt;/p&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="subs(x = x_sol[2], _Z2 = 0, expr) = 0" height="23" src="/view.aspx?sf=243561_question/210c25aa7df07a1689e02b97997ae06c.gif" style="vertical-align:-6px" width="227"&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="sin(Pi)/Pi = 0" height="48" src="/view.aspx?sf=243561_question/050cc0bff4d642bc4320fcb2fa9a1781.gif" style="vertical-align:-19px" width="80"&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;(18)&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="sin(Pi)/Pi = 0" height="26" src="/view.aspx?sf=243561_question/daaa6636cfd8396ceaebc95dd78ba9e1.gif" style="vertical-align:-7px" width="45"&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="0 = 0" height="23" src="/view.aspx?sf=243561_question/d84c03de9414c1aa318f806fb6c06191.gif" style="vertical-align:-6px" width="36"&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;(19)&lt;/td&gt;
					&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;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;However, the second solution does not cover all solutions (it misses even multiples of &amp;pi;)&lt;/span&gt;&lt;/p&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="[seq({_Z2}[] = i, i = -2 .. 2)]" height="26" src="/view.aspx?sf=243561_question/cf6d997092d0d499b3bef3fa6d5a36ab.gif" style="vertical-align:-7px" width="184"&gt;&lt;/p&gt;
						&lt;/td&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="[_Z2 = -2, _Z2 = -1, _Z2 = 0, _Z2 = 1, _Z2 = 2]" height="23" src="/view.aspx?sf=243561_question/e2f3cc2afa61ae52332c26de51bdeba5.gif" style="vertical-align:-6px" width="345"&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;(20)&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="seq(subs([_Z2 = -2, _Z2 = -1, _Z2 = 0, _Z2 = 1, _Z2 = 2][i], x_sol[2]), i = 1 .. nops([_Z2 = -2, _Z2 = -1, _Z2 = 0, _Z2 = 1, _Z2 = 2]))" height="26" src="/view.aspx?sf=243561_question/089d5fbfc782dbfdb845a3fe24ad7e05.gif" style="vertical-align:-7px" width="321"&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*Pi, -Pi, Pi, 3*Pi, 5*Pi" height="26" src="/view.aspx?sf=243561_question/32097bb2292c8b9b96ea7218926b23e0.gif" style="vertical-align:-7px" width="124"&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;(21)&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;&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&lt;span style="font-size:16px;"&gt;Related topic: I also think that new users and students should profit from a directly understandable output like this&lt;/span&gt;&lt;br&gt;
&lt;br&gt;
&lt;img src="data:image/png;base64,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"&gt;&lt;/p&gt;

&lt;p&gt;&lt;span style="font-size:16px;"&gt;Maybe adding new convert form is an option.&lt;/span&gt;&lt;/p&gt;

&lt;p&gt;&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&lt;a href="/view.aspx?sf=243561_question/roots_of_sinc.mw"&gt;Download roots_of_sinc.mw&lt;/a&gt;&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;&lt;span style="font-size:16px;"&gt;Here is another case where an incorrect solution of a &lt;strong&gt;non-algebraic&lt;/strong&gt; expression is returned.&amp;nbsp;&lt;/span&gt;&lt;/p&gt;

&lt;p&gt;&lt;span style="font-size:16px;"&gt;How to make Maple exclude solutions obtained with allsolutions where the expression is not defined?&lt;br&gt;
&lt;br&gt;
IMO, allsolutions facilities of Maple should do this automatically. Anything from a mathematical point of view that speaks against an automatic exclusion?&lt;/span&gt;&lt;/p&gt;

&lt;p&gt;&lt;span style="font-size:16px;"&gt;(Are there other commands that provide a correct solution?)&amp;nbsp;&lt;/span&gt;&lt;/p&gt;

&lt;p&gt;&lt;span style="font-size:16px;"&gt;By the way:&lt;/span&gt;&lt;br&gt;
&amp;nbsp;&lt;/p&gt;

&lt;pre class="prettyprint"&gt;
solve(sin(x)/x)&lt;/pre&gt;

&lt;p&gt;&lt;br&gt;
&lt;span style="font-size:16px;"&gt;does not return a single solution as stated on the solve help page (&amp;quot;In general for transcendental equations, the solve command returns only one solution,...&amp;quot;) because solve &lt;strong&gt;correctly &lt;/strong&gt;discards x=0 but does not consider returning x=pi.&lt;/span&gt;&lt;/p&gt;

&lt;p&gt;&amp;nbsp;&lt;/p&gt;

&lt;form name="worksheet_form"&gt;&lt;input name="md.ref" type="hidden" value="D596AA3A55A0A3F110C3F43E7450FDDA"&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="restart" height="23" src="/view.aspx?sf=243561_question/425f415fdfa7a92f2177e3678f73e3cb.gif" style="vertical-align:-6px" 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;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;img alt="expr := sin(x)/x" height="42" src="/view.aspx?sf=243561_question/62d58488ec745fb46a32fea390c8708c.gif" style="vertical-align:-16px" width="108"&gt;&lt;/p&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="sin(x)/x" height="42" src="/view.aspx?sf=243561_question/3eb1080f89351354fa79bfa6d1881458.gif" style="vertical-align:-16px" width="105"&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;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;The above expression is not defined at &lt;/span&gt;&lt;img alt="x = 0" height="22" src="/view.aspx?sf=243561_question/efc1dc6cc6fe68bbb095c96c985dd1b7.gif" style="vertical-align:-6px" width="32"&gt;&lt;/p&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="Eval(expr, x = 0)" height="23" src="/view.aspx?sf=243561_question/c8534d70b9e4df3c2df3be234f8c8cb7.gif" style="vertical-align:-6px" width="109"&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="Eval(sin(x)/x, x = 0)" height="60" src="/view.aspx?sf=243561_question/a61002032c00baeead39284766678405.gif" style="vertical-align:-34px" width="85"&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;img alt="value(Eval(sin(x)/x, x = 0))" height="26" src="/view.aspx?sf=243561_question/e8e168e43ca7e57343dbc936b9fe84d6.gif" style="vertical-align:-7px" width="81"&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="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;a href="http://www.maplesoft.com/support/help/errors/view.aspx?path=Error,%20(in%20value%2FEval)%20numeric%20exception%3A%20division%20by%20zero"&gt;&lt;span style="color:#ab29cc;font-size: 100%;font-family: monospace,monospace;font-weight:normal;font-style:normal;"&gt;&lt;u&gt;Error, (in value/Eval) numeric exception: division by zero&lt;/u&gt;&lt;/span&gt;&lt;/a&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;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#000000;font-size: 133%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;Roots of the expression with RootOf&lt;/span&gt;&lt;/p&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="sol := allvalues(RootOf(expr))" height="23" src="/view.aspx?sf=243561_question/b947ce3428f4c4aaa2bb59b9d2bcf9bf.gif" style="vertical-align:-6px" width="205"&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="Pi*_Z1" height="26" src="/view.aspx?sf=243561_question/24be79c7927819de6a24e6b496ebde27.gif" style="vertical-align:-7px" width="91"&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;img alt="indets(sol)" height="23" src="/view.aspx?sf=243561_question/3003afea2f98e4a2b42c509152187ca8.gif" style="vertical-align:-6px" width="72"&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="{_Z1}" height="23" src="/view.aspx?sf=243561_question/c4a4e10fd6db66631b0482fd09024644.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;
					&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="about({_Z1}[])" height="26" src="/view.aspx?sf=243561_question/29787706dda109f8901ac8d900bbd4bd.gif" style="vertical-align:-7px" width="101"&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="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;span style="color:#0000ff;font-size: 100%;font-family: monospace,monospace;font-weight:normal;font-style:normal;"&gt;Originally _Z1, renamed _Z1~:&lt;/span&gt;&lt;br&gt;
						&lt;span style="color:#0000ff;font-size: 100%;font-family: monospace,monospace;font-weight:normal;font-style:normal;"&gt;&amp;nbsp;&amp;nbsp;is assumed to be: integer&lt;/span&gt;&lt;br&gt;
						&amp;nbsp;&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 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="getassumptions({_Z1})" height="26" src="/view.aspx?sf=243561_question/f17ca8a5fee5f8e6fc93c9029d72d9fb.gif" style="vertical-align:-7px" width="141"&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="{_Z1::integer}" height="23" src="/view.aspx?sf=243561_question/eac612974c2377b58e8439613c9bf92a.gif" style="vertical-align:-6px" width="70"&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;img alt="type(0, integer)" height="23" src="/view.aspx?sf=243561_question/9070beb3bdf363161ea6406a4b229b01.gif" style="vertical-align:-6px" width="103"&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="true" height="23" src="/view.aspx?sf=243561_question/632078d17fe63be10ba8d0cb59a367a5.gif" style="vertical-align:-6px" width="30"&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="subs(x = sol, expr) = 0" height="23" src="/view.aspx?sf=243561_question/65488b99bf00e9d6933944fd5472b622.gif" style="vertical-align:-6px" width="141"&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="sin(Pi*_Z1)/(Pi*_Z1) = 0" height="48" src="/view.aspx?sf=243561_question/079909c0458df8bd11bb5940da879dbc.gif" style="vertical-align:-19px" width="114"&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;img alt="is(sin(Pi*_Z1)/(Pi*_Z1) = 0)" height="26" src="/view.aspx?sf=243561_question/3b8d73639fedeef2b10f7768a7e5a638.gif" style="vertical-align:-7px" width="59"&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="true" height="23" src="/view.aspx?sf=243561_question/1fe8fc3c62b0706155566129eaa071e2.gif" style="vertical-align:-6px" width="30"&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;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;The above should be false because &lt;/span&gt;&lt;img alt="expr" height="22" src="/view.aspx?sf=243561_question/dc75da387b714ad186417d983bbbb653.gif" style="vertical-align:-6px" width="30"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;&amp;nbsp;is not defined for &lt;/span&gt;&lt;img alt="_Z1 = 0." height="23" src="/view.aspx?sf=243561_question/c879ba4d6344fcfebd6b1ec9de192850.gif" style="vertical-align:-6px" width="59"&gt;&lt;span style="color:#000000;font-size: 100%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;However, this is what automatic simplifcation does &lt;/span&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;behind the scenes &lt;/span&gt;&lt;span style="color:#000000;font-size: 100%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;with the output &lt;/span&gt;&lt;span style="color:#000000; font-weight:bold; font-style:normal;"&gt;(7)&lt;/span&gt;&lt;span style="color:#000000;font-size: 100%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;&amp;nbsp;&lt;/span&gt;&lt;/p&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="sin(Pi*_Z1)/(Pi*_Z1) = 0" height="26" src="/view.aspx?sf=243561_question/dd16616ff66721d89d586e75da48ccaf.gif" style="vertical-align:-7px" width="36"&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="0 = 0" height="23" src="/view.aspx?sf=243561_question/c03b69411020cdd81be952d66ccfe789.gif" style="vertical-align:-6px" width="36"&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;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;For this particular case Maple should have returned a special name expressing nonzero integers, like &lt;/span&gt;&lt;img alt="_NZ" height="23" src="/view.aspx?sf=243561_question/7fa87c37194bdbf3a66e6a89b7d92c26.gif" style="vertical-align:-6px" width="31"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;&amp;nbsp;. &lt;/span&gt;&lt;br&gt;
			&lt;img alt="`&amp;amp;Zopf;__&amp;amp;ne;0`" height="30" src="/view.aspx?sf=243561_question/87504f18a3c5a0e8639722b11ee156a1.gif" style="vertical-align:-14px" width="41"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;or &lt;/span&gt;&lt;img alt="`minus`(integer, {0})" height="22" src="/view.aspx?sf=243561_question/fa2fe73f48d03436811e1dc05b1951df.gif" style="vertical-align:-6px" width="54"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;or &lt;/span&gt;&lt;img alt="`#msup(mi(&amp;quot;&amp;amp;Zopf;&amp;quot;,fontstyle = &amp;quot;normal&amp;quot;),mo(&amp;quot;&amp;amp;ast;&amp;quot;))`" height="29" src="/view.aspx?sf=243561_question/6216d2a0e67f8b9e0e49295103f2c4aa.gif" style="vertical-align:-11px" width="29"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;are common symbols for that&lt;/span&gt;&lt;br&gt;
			&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;So &lt;/span&gt;&lt;img alt="_Z" height="23" src="/view.aspx?sf=243561_question/5a545240155e22e35ae9f5c7f44d437f.gif" style="vertical-align:-6px" width="24"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;is incorrect in the solution and automatic simplification does something wrong.&lt;/span&gt;&lt;br&gt;
			&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;Only substituing everything at once leads to a correct response:&lt;/span&gt;&lt;/p&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="subs(x = sol, _Z1 = 0, expr)" height="23" src="/view.aspx?sf=243561_question/cc2bce279fc4c0fc9864365895fd143c.gif" style="vertical-align:-6px" width="171"&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="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;a href="http://www.maplesoft.com/support/help/errors/view.aspx?path=Error,%20numeric%20exception%3A%20division%20by%20zero"&gt;&lt;span style="color:#ab29cc;font-size: 100%;font-family: monospace,monospace;font-weight:normal;font-style:normal;"&gt;&lt;u&gt;Error, numeric exception: division by zero&lt;/u&gt;&lt;/span&gt;&lt;/a&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;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;br&gt;
			&lt;span style="color:#000000;font-size: 133%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;Solve&lt;/span&gt;&lt;/p&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="solve(expr, x)" height="23" src="/view.aspx?sf=243561_question/ed1563f03b3d4344a751b78a675aec95.gif" style="vertical-align:-6px" width="89"&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="x_sol := [solve(expr, x, allsolutions)]" height="23" src="/view.aspx?sf=243561_question/36d1033eeec260118b37cbaede13560b.gif" style="vertical-align:-6px" width="236"&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="[2*Pi*_Z2, Pi*(2*_Z2+1)]" height="26" src="/view.aspx?sf=243561_question/fdcc7d15441504a9b5fb1e8e90b4e33d.gif" style="vertical-align:-7px" width="228"&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;img alt="indets(x_sol)" height="23" src="/view.aspx?sf=243561_question/e509b4009a312c237f15682cb9ded0f3.gif" style="vertical-align:-6px" width="86"&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="{_Z2}" height="23" src="/view.aspx?sf=243561_question/2d6c04ac70a6ea1025f5ba14747c920c.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;(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;img alt="subs(x = x_sol[1], expr) = 0" height="23" src="/view.aspx?sf=243561_question/d9c4c4b10c0429536fbd0235507c59d7.gif" style="vertical-align:-6px" width="178"&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="(1/2)*sin(2*Pi*_Z2)/(Pi*_Z2) = 0" height="48" src="/view.aspx?sf=243561_question/a0ae655bd4badfc2bad3fd3a13fbdf27.gif" style="vertical-align:-19px" width="124"&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;img alt="is((1/2)*sin(2*Pi*_Z2)/(Pi*_Z2) = 0)" height="26" src="/view.aspx?sf=243561_question/7641023777d14373db1d9c1d81dcdcb2.gif" style="vertical-align:-7px" width="68"&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="true" height="23" src="/view.aspx?sf=243561_question/8eaf422e8704d424b8fcd21bbac5fe59.gif" style="vertical-align:-6px" width="30"&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;img alt="(1/2)*sin(2*Pi*_Z2)/(Pi*_Z2) = 0" height="26" src="/view.aspx?sf=243561_question/d2a51a4634a9be4cd36ad518c4a520ad.gif" style="vertical-align:-7px" width="45"&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="0 = 0" height="23" src="/view.aspx?sf=243561_question/e4a1360f66a7f0995a13ebcd31bff1bb.gif" style="vertical-align:-6px" width="36"&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;img alt="subs(x = x_sol[1], _Z2 = 0, expr) = 0" height="23" src="/view.aspx?sf=243561_question/cd018cfe918fb0e9dcb177f1c636ba26.gif" style="vertical-align:-6px" width="227"&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="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;a href="http://www.maplesoft.com/support/help/errors/view.aspx?path=Error,%20numeric%20exception%3A%20division%20by%20zero"&gt;&lt;span style="color:#ab29cc;font-size: 100%;font-family: monospace,monospace;font-weight:normal;font-style:normal;"&gt;&lt;u&gt;Error, numeric exception: division by zero&lt;/u&gt;&lt;/span&gt;&lt;/a&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;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;Again &lt;/span&gt;&lt;img alt="_Z2 = 0" height="23" src="/view.aspx?sf=243561_question/3e1c05b6e9c9a71a999861e7a8ff221b.gif" style="vertical-align:-6px" width="55"&gt;&lt;span style="color:#000000;font-size: 100%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;is not a valid solution for the first solution but&lt;/span&gt;&lt;img alt="NULL" height="23" src="/view.aspx?sf=243561_question/711b654ed2fd0489ea6812b90171fcfe.gif" style="vertical-align:-6px" width="9"&gt;&lt;span style="color:#000000;font-size: 100%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;works for the second solution&lt;/span&gt;&lt;/p&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="subs(x = x_sol[2], expr) = 0" height="23" src="/view.aspx?sf=243561_question/fe31145fad860ce48833541b7d964f32.gif" style="vertical-align:-6px" width="178"&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="sin(Pi*(2*_Z2+1))/(Pi*(2*_Z2+1)) = 0" height="48" src="/view.aspx?sf=243561_question/a35e6ceaf225073bef0133676243d4b5.gif" style="vertical-align:-19px" width="165"&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;(15)&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="is(sin(Pi*(2*_Z2+1))/(Pi*(2*_Z2+1)) = 0)" height="26" src="/view.aspx?sf=243561_question/1e99fef86eb090afee39dc03ee60b88d.gif" style="vertical-align:-7px" width="68"&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="true" height="23" src="/view.aspx?sf=243561_question/eab67ac002c74f69f55919b01a03037b.gif" style="vertical-align:-6px" width="30"&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;(16)&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="sin(Pi*(2*_Z2+1))/(Pi*(2*_Z2+1)) = 0" height="26" src="/view.aspx?sf=243561_question/864ac0da05ee8be1fbd27cab6389e7de.gif" style="vertical-align:-7px" width="45"&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="0 = 0" height="23" src="/view.aspx?sf=243561_question/f8b79c28ebbddd424f69ea582fcf7de4.gif" style="vertical-align:-6px" width="36"&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;(17)&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;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;Substituing everything at once works&lt;/span&gt;&lt;/p&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="subs(x = x_sol[2], _Z2 = 0, expr) = 0" height="23" src="/view.aspx?sf=243561_question/210c25aa7df07a1689e02b97997ae06c.gif" style="vertical-align:-6px" width="227"&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="sin(Pi)/Pi = 0" height="48" src="/view.aspx?sf=243561_question/050cc0bff4d642bc4320fcb2fa9a1781.gif" style="vertical-align:-19px" width="80"&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;(18)&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="sin(Pi)/Pi = 0" height="26" src="/view.aspx?sf=243561_question/daaa6636cfd8396ceaebc95dd78ba9e1.gif" style="vertical-align:-7px" width="45"&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="0 = 0" height="23" src="/view.aspx?sf=243561_question/d84c03de9414c1aa318f806fb6c06191.gif" style="vertical-align:-6px" width="36"&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;(19)&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;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;However, the second solution does not cover all solutions (it misses even multiples of &amp;pi;)&lt;/span&gt;&lt;/p&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="[seq({_Z2}[] = i, i = -2 .. 2)]" height="26" src="/view.aspx?sf=243561_question/cf6d997092d0d499b3bef3fa6d5a36ab.gif" style="vertical-align:-7px" width="184"&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="[_Z2 = -2, _Z2 = -1, _Z2 = 0, _Z2 = 1, _Z2 = 2]" height="23" src="/view.aspx?sf=243561_question/e2f3cc2afa61ae52332c26de51bdeba5.gif" style="vertical-align:-6px" width="345"&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;(20)&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="seq(subs([_Z2 = -2, _Z2 = -1, _Z2 = 0, _Z2 = 1, _Z2 = 2][i], x_sol[2]), i = 1 .. nops([_Z2 = -2, _Z2 = -1, _Z2 = 0, _Z2 = 1, _Z2 = 2]))" height="26" src="/view.aspx?sf=243561_question/089d5fbfc782dbfdb845a3fe24ad7e05.gif" style="vertical-align:-7px" width="321"&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table&gt;
				&lt;tbody&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="-3*Pi, -Pi, Pi, 3*Pi, 5*Pi" height="26" src="/view.aspx?sf=243561_question/32097bb2292c8b9b96ea7218926b23e0.gif" style="vertical-align:-7px" width="124"&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;(21)&lt;/td&gt;
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&lt;p&gt;&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&lt;span style="font-size:16px;"&gt;Related topic: I also think that new users and students should profit from a directly understandable output like this&lt;/span&gt;&lt;br&gt;
&lt;br&gt;
&lt;img src="data:image/png;base64,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"&gt;&lt;/p&gt;

&lt;p&gt;&lt;span style="font-size:16px;"&gt;Maybe adding new convert form is an option.&lt;/span&gt;&lt;/p&gt;

&lt;p&gt;&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&lt;a href="/view.aspx?sf=243561_question/roots_of_sinc.mw"&gt;Download roots_of_sinc.mw&lt;/a&gt;&lt;/p&gt;
</description>
      <guid>243561</guid>
      <pubDate>Sat, 25 Apr 2026 08:27:51 Z</pubDate>
      <itunes:author>C_R</itunes:author>
      <author>C_R</author>
    </item>
    <item>
      <title>license error starting OpenMaple session</title>
      <link>http://www.mapleprimes.com/questions/243559-License-Error-Starting-OpenMaple-Session?ref=Feed:MaplePrimes:Unanswered Questions</link>
      <itunes:summary>&lt;p&gt;I do have a stundent license permanently and I&amp;#39;ve installed the OpenMaple java examples:&amp;nbsp;JCEngineCallBacks,&amp;nbsp;JCHelpCallBack,&amp;nbsp;jcmaple in Eclipse.&lt;/p&gt;

&lt;p&gt;I&amp;#39;ve also installed the MapleTest.java which runs fine.&lt;/p&gt;

&lt;p&gt;When I start the jcmaple.java I get the error:&amp;nbsp;license communication problem 1&amp;nbsp; Error starting OpenMaple session&lt;/p&gt;

&lt;p&gt;So I don&amp;#39;t know why.&lt;/p&gt;

&lt;p&gt;Meanwhile I was able to solve the issue&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;I do have a stundent license permanently and I&amp;#39;ve installed the OpenMaple java examples:&amp;nbsp;JCEngineCallBacks,&amp;nbsp;JCHelpCallBack,&amp;nbsp;jcmaple in Eclipse.&lt;/p&gt;

&lt;p&gt;I&amp;#39;ve also installed the MapleTest.java which runs fine.&lt;/p&gt;

&lt;p&gt;When I start the jcmaple.java I get the error:&amp;nbsp;license communication problem 1&amp;nbsp; Error starting OpenMaple session&lt;/p&gt;

&lt;p&gt;So I don&amp;#39;t know why.&lt;/p&gt;

&lt;p&gt;Meanwhile I was able to solve the issue&lt;/p&gt;
</description>
      <guid>243559</guid>
      <pubDate>Fri, 24 Apr 2026 13:44:22 Z</pubDate>
      <itunes:author>goebeld</itunes:author>
      <author>goebeld</author>
    </item>
    <item>
      <title>Maximizing, with a constraint</title>
      <link>http://www.mapleprimes.com/questions/243551-Maximizing-With-A-Constraint?ref=Feed:MaplePrimes:Unanswered Questions</link>
      <itunes:summary>&lt;p&gt;...and starting values. I want to reproduce the maximum in Maple using the solution structure in the attached file, similar to the old Mathcad method. Instead of using the Euler-Lagrange equation, I want to separately enter the objective function, then the boundary conditions, and finally the starting values ​​for an iteration (as was done in the old Mathcad solution block). I entered the latter into the &amp;quot;maximize&amp;quot; command using the Maple help text. But nothing is being calculated. What am I doing wrong? As I said, I only want a numerically generated approximate solution.&lt;a href="/view.aspx?sf=243551_question/test.mw"&gt;test.mw&lt;/a&gt;&lt;/p&gt;

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						&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=243551_question/bd39c7e707ae37a51b83bc5478f97b60.gif" style="vertical-align:-6px" width="54"&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;
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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 2026.0, X86 64 WINDOWS, Mar 05 2026, Build ID 2001916`" height="23" src="/view.aspx?sf=243551_question/850bbdbec3906b332df1d5397ea0a5e3.gif" style="vertical-align:-6px" width="414"&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;td&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="`Standard Worksheet Interface, Maple 2026.0, Windows 11, March 05 2026 Build ID 2001916`" height="23" src="/view.aspx?sf=243551_question/959e21edd502fa187a03ee625f67b30c.gif" style="vertical-align:-6px" width="570"&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;
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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="with(VariationalCalculus)" height="23" src="/view.aspx?sf=243551_question/54f0f9ee79865e48a41a646699ef79dc.gif" style="vertical-align:-6px" width="178"&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="[ConjugateEquation, Convex, EulerLagrange, Jacobi, Weierstrass]" height="23" src="/view.aspx?sf=243551_question/11a800dce46c2489776105bfbd8069e5.gif" style="vertical-align:-6px" width="408"&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;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;img alt="with(plots, implicitplot)" height="23" src="/view.aspx?sf=243551_question/3a4419f38c6415f79bcdfc0bf64a2cf3.gif" style="vertical-align:-6px" width="162"&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="with(Optimization)" height="23" src="/view.aspx?sf=243551_question/04ecec0450dcfcdc4bf13714084222d2.gif" style="vertical-align:-6px" width="134"&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 alt="assume(x &amp;gt;= 0, y(x) &amp;gt;= 0)" height="23" src="/view.aspx?sf=243551_question/a1ca872b4a6f2bb959d8f8da3ed1566e.gif" style="vertical-align:-6px" width="165"&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 alt="&amp;quot;p(a,b,c,x):=a&amp;amp;lowast;x^(2)+b&amp;amp;lowast;x+c;&amp;quot;" height="27" src="/view.aspx?sf=243551_question/4d6fafd1fe316e6468f00dc31706f5a2.gif" style="vertical-align:-6px" width="206"&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="proc (a, b, c, x) options operator, arrow, function_assign; a*x^2+b*x+c end proc" height="27" src="/view.aspx?sf=243551_question/ffbc822bebf434070e5b3aa78d86bde3.gif" style="vertical-align:-6px" width="213"&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="&amp;quot; q(d,f,x):=d&amp;amp;lowast;x^(2)+f&amp;amp;lowast;x;&amp;quot;" height="27" src="/view.aspx?sf=243551_question/ad691ce24f4f4731147c46d2e0208dd0.gif" style="vertical-align:-6px" width="164"&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 align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;img alt="&amp;quot;yn(a,b,c,d,f,g,x):=p(a,b,c,x)&amp;amp;lowast;exp(q(d,f,x))+g;&amp;quot;" height="23" src="/view.aspx?sf=243551_question/c31e5f0e00424d4c747849ce2c0751c6.gif" style="vertical-align:-6px" width="346"&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="proc (a, b, c, d, f, g, x) options operator, arrow, function_assign; p(a, b, c, x)*exp(q(d, f, x))+g end proc" height="27" src="/view.aspx?sf=243551_question/3bc52bf6e8262b08ea184a27ff8a8ccc.gif" style="vertical-align:-6px" width="320"&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;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;img alt="&amp;quot; wn(a,b,c,d,f,g,xend):=(&amp;amp;int;)[0]^(xend)x&amp;amp;lowast;yn(a,b,c,d,f,g,x)&amp;amp;DifferentialD;x;&amp;quot;" height="54" src="/view.aspx?sf=243551_question/c91becffe7f98e826ca248576ce965e5.gif" style="vertical-align:-22px" width="355"&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;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;img alt="&amp;quot;constr(a,b,c,d,f,g,xend):=(&amp;amp;int;)[0]^(xend)(sqrt(1+((&amp;amp;DifferentialD;)/(&amp;amp;DifferentialD;x)(yn(a,b,c,d,f,g,x)))^(2))-50)&amp;amp;DifferentialD;x=0;&amp;quot;" height="68" src="/view.aspx?sf=243551_question/46355231f1c90b8f6f5134a05ce755eb.gif" style="vertical-align:-29px" width="546"&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;(9)&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 align="middle" alt="maximize(wn(a, b, c, d, f, g, xend), constr(a, b, c, d, f, g, xend), initialpoint = {a = -0.2e-1, b = 1.06, c = 0.14e-2, d = 0.46e-3, f = -0.12e-2, g = -0.14e-2, xend = 30})" height="40" src="/view.aspx?sf=243551_question/247d1665a946c627a87d844571f106bd.gif" style="vertical-align:-23px" 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="maximize(-(1/16)*(8*a*xend^2*(-d)^(11/2)*exp(d*xend^2+f*xend)-8*g*xend^2*(-d)^(13/2)+4*a*f*xend*(-d)^(9/2)*exp(d*xend^2+f*xend)+8*b*xend*(-d)^(11/2)*exp(d*xend^2+f*xend)+2*exp(d*xend^2+f*xend)*(-d)^(7/2)*a*f^2+4*b*f*(-d)^(9/2)*exp(d*xend^2+f*xend)+8*c*(-d)^(11/2)*exp(d*xend^2+f*xend)-erf((1/2)*(2*d*xend+f)/(-d)^(1/2))*Pi^(1/2)*exp(-(1/4)*f^2/d)*d^3*a*f^3+2*erf((1/2)*(2*d*xend+f)/(-d)^(1/2))*Pi^(1/2)*exp(-(1/4)*f^2/d)*d^4*b*f^2-4*erf((1/2)*(2*d*xend+f)/(-d)^(1/2))*Pi^(1/2)*exp(-(1/4)*f^2/d)*d^5*c*f+8*a*(-d)^(9/2)*exp(d*xend^2+f*xend)+erf((1/2)*f/(-d)^(1/2))*Pi^(1/2)*exp(-(1/4)*f^2/d)*a*f^3*d^3-2*erf((1/2)*f/(-d)^(1/2))*Pi^(1/2)*exp(-(1/4)*f^2/d)*b*f^2*d^4+4*erf((1/2)*f/(-d)^(1/2))*Pi^(1/2)*exp(-(1/4)*f^2/d)*c*f*d^5-2*a*f^2*(-d)^(7/2)-4*b*f*(-d)^(9/2)-8*c*(-d)^(11/2)+6*erf((1/2)*(2*d*xend+f)/(-d)^(1/2))*Pi^(1/2)*exp(-(1/4)*f^2/d)*d^4*a*f-4*erf((1/2)*(2*d*xend+f)/(-d)^(1/2))*Pi^(1/2)*exp(-(1/4)*f^2/d)*d^5*b-6*erf((1/2)*f/(-d)^(1/2))*Pi^(1/2)*exp(-(1/4)*f^2/d)*a*f*d^4+4*erf((1/2)*f/(-d)^(1/2))*Pi^(1/2)*exp(-(1/4)*f^2/d)*b*d^5-8*a*(-d)^(9/2))/(-d)^(13/2), int((1+((2*a*x+b)*exp(d*x^2+f*x)+(a*x^2+b*x+c)*(2*d*x+f)*exp(d*x^2+f*x))^2)^(1/2)-50, x = 0 .. xend) = 0, initialpoint = {a = -0.2e-1, b = 1.06, c = 0.14e-2, d = 0.46e-3, f = -0.12e-2, g = -0.14e-2, xend = 30})" height="514" src="/view.aspx?sf=243551_question/b49100a7ff66f3e31d0562bd0161a76c.gif" style="vertical-align:-474px" width="728"&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;(10)&lt;/td&gt;
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&lt;p&gt;&lt;a href="/view.aspx?sf=243551_question/test.mw"&gt;Download test.mw&lt;/a&gt;&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;...and starting values. I want to reproduce the maximum in Maple using the solution structure in the attached file, similar to the old Mathcad method. Instead of using the Euler-Lagrange equation, I want to separately enter the objective function, then the boundary conditions, and finally the starting values ​​for an iteration (as was done in the old Mathcad solution block). I entered the latter into the &amp;quot;maximize&amp;quot; command using the Maple help text. But nothing is being calculated. What am I doing wrong? As I said, I only want a numerically generated approximate solution.&lt;a href="/view.aspx?sf=243551_question/test.mw"&gt;test.mw&lt;/a&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="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="`Standard Worksheet Interface, Maple 2026.0, Windows 11, March 05 2026 Build ID 2001916`" height="23" src="/view.aspx?sf=243551_question/959e21edd502fa187a03ee625f67b30c.gif" style="vertical-align:-6px" width="570"&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;
					&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="with(VariationalCalculus)" height="23" src="/view.aspx?sf=243551_question/54f0f9ee79865e48a41a646699ef79dc.gif" style="vertical-align:-6px" width="178"&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="[ConjugateEquation, Convex, EulerLagrange, Jacobi, Weierstrass]" height="23" src="/view.aspx?sf=243551_question/11a800dce46c2489776105bfbd8069e5.gif" style="vertical-align:-6px" width="408"&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;img alt="with(plots, implicitplot)" height="23" src="/view.aspx?sf=243551_question/3a4419f38c6415f79bcdfc0bf64a2cf3.gif" style="vertical-align:-6px" width="162"&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="[implicitplot]" height="23" src="/view.aspx?sf=243551_question/11213d489f3605ccf1d4881d1e57b7f1.gif" style="vertical-align:-6px" width="88"&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;img alt="with(Optimization)" height="23" src="/view.aspx?sf=243551_question/04ecec0450dcfcdc4bf13714084222d2.gif" style="vertical-align:-6px" width="134"&gt;&lt;/p&gt;
						&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;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;&amp;nbsp; &lt;/span&gt;&lt;/p&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="assume(x &amp;gt;= 0, y(x) &amp;gt;= 0)" height="23" src="/view.aspx?sf=243551_question/a1ca872b4a6f2bb959d8f8da3ed1566e.gif" style="vertical-align:-6px" width="165"&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="&amp;quot;p(a,b,c,x):=a&amp;amp;lowast;x^(2)+b&amp;amp;lowast;x+c;&amp;quot;" height="27" src="/view.aspx?sf=243551_question/4d6fafd1fe316e6468f00dc31706f5a2.gif" style="vertical-align:-6px" width="206"&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="proc (a, b, c, x) options operator, arrow, function_assign; a*x^2+b*x+c end proc" height="27" src="/view.aspx?sf=243551_question/ffbc822bebf434070e5b3aa78d86bde3.gif" style="vertical-align:-6px" width="213"&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;img alt="&amp;quot; q(d,f,x):=d&amp;amp;lowast;x^(2)+f&amp;amp;lowast;x;&amp;quot;" height="27" src="/view.aspx?sf=243551_question/ad691ce24f4f4731147c46d2e0208dd0.gif" style="vertical-align:-6px" width="164"&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="proc (d, f, x) options operator, arrow, function_assign; d*x^2+f*x end proc" height="27" src="/view.aspx?sf=243551_question/1b617ce46a514feeb465e71aa3742aae.gif" style="vertical-align:-6px" width="168"&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="&amp;quot;yn(a,b,c,d,f,g,x):=p(a,b,c,x)&amp;amp;lowast;exp(q(d,f,x))+g;&amp;quot;" height="23" src="/view.aspx?sf=243551_question/c31e5f0e00424d4c747849ce2c0751c6.gif" style="vertical-align:-6px" width="346"&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="proc (a, b, c, d, f, g, x) options operator, arrow, function_assign; p(a, b, c, x)*exp(q(d, f, x))+g end proc" height="27" src="/view.aspx?sf=243551_question/3bc52bf6e8262b08ea184a27ff8a8ccc.gif" style="vertical-align:-6px" width="320"&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;img alt="&amp;quot; wn(a,b,c,d,f,g,xend):=(&amp;amp;int;)[0]^(xend)x&amp;amp;lowast;yn(a,b,c,d,f,g,x)&amp;amp;DifferentialD;x;&amp;quot;" height="54" src="/view.aspx?sf=243551_question/c91becffe7f98e826ca248576ce965e5.gif" style="vertical-align:-22px" width="355"&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="proc (a, b, c, d, f, g, xend) options operator, arrow, function_assign; int(x*yn(a, b, c, d, f, g, x), x = 0 .. xend) end proc" height="54" src="/view.aspx?sf=243551_question/c706b57cb535da8f0dab9eff7e8923c6.gif" style="vertical-align:-22px" width="366"&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;img alt="&amp;quot;constr(a,b,c,d,f,g,xend):=(&amp;amp;int;)[0]^(xend)(sqrt(1+((&amp;amp;DifferentialD;)/(&amp;amp;DifferentialD;x)(yn(a,b,c,d,f,g,x)))^(2))-50)&amp;amp;DifferentialD;x=0;&amp;quot;" height="68" src="/view.aspx?sf=243551_question/46355231f1c90b8f6f5134a05ce755eb.gif" style="vertical-align:-29px" width="546"&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="proc (a, b, c, d, f, g, xend) options operator, arrow, function_assign; int(sqrt(1+(diff(yn(a, b, c, d, f, g, x), x))^2)-50, x = 0 .. xend) = 0 end proc" height="68" src="/view.aspx?sf=243551_question/c3cba14745c0110215815f819f8efa95.gif" style="vertical-align:-29px" width="546"&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;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;span style="color:#000000;font-size: 91%;font-family: DejaVu Sans;font-weight:normal;font-style:normal;"&gt;&amp;nbsp; &lt;/span&gt;&lt;/p&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 align="middle" alt="maximize(wn(a, b, c, d, f, g, xend), constr(a, b, c, d, f, g, xend), initialpoint = {a = -0.2e-1, b = 1.06, c = 0.14e-2, d = 0.46e-3, f = -0.12e-2, g = -0.14e-2, xend = 30})" height="40" src="/view.aspx?sf=243551_question/247d1665a946c627a87d844571f106bd.gif" style="vertical-align:-23px" width="768"&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 align="middle" alt="maximize(-(1/16)*(8*a*xend^2*(-d)^(11/2)*exp(d*xend^2+f*xend)-8*g*xend^2*(-d)^(13/2)+4*a*f*xend*(-d)^(9/2)*exp(d*xend^2+f*xend)+8*b*xend*(-d)^(11/2)*exp(d*xend^2+f*xend)+2*exp(d*xend^2+f*xend)*(-d)^(7/2)*a*f^2+4*b*f*(-d)^(9/2)*exp(d*xend^2+f*xend)+8*c*(-d)^(11/2)*exp(d*xend^2+f*xend)-erf((1/2)*(2*d*xend+f)/(-d)^(1/2))*Pi^(1/2)*exp(-(1/4)*f^2/d)*d^3*a*f^3+2*erf((1/2)*(2*d*xend+f)/(-d)^(1/2))*Pi^(1/2)*exp(-(1/4)*f^2/d)*d^4*b*f^2-4*erf((1/2)*(2*d*xend+f)/(-d)^(1/2))*Pi^(1/2)*exp(-(1/4)*f^2/d)*d^5*c*f+8*a*(-d)^(9/2)*exp(d*xend^2+f*xend)+erf((1/2)*f/(-d)^(1/2))*Pi^(1/2)*exp(-(1/4)*f^2/d)*a*f^3*d^3-2*erf((1/2)*f/(-d)^(1/2))*Pi^(1/2)*exp(-(1/4)*f^2/d)*b*f^2*d^4+4*erf((1/2)*f/(-d)^(1/2))*Pi^(1/2)*exp(-(1/4)*f^2/d)*c*f*d^5-2*a*f^2*(-d)^(7/2)-4*b*f*(-d)^(9/2)-8*c*(-d)^(11/2)+6*erf((1/2)*(2*d*xend+f)/(-d)^(1/2))*Pi^(1/2)*exp(-(1/4)*f^2/d)*d^4*a*f-4*erf((1/2)*(2*d*xend+f)/(-d)^(1/2))*Pi^(1/2)*exp(-(1/4)*f^2/d)*d^5*b-6*erf((1/2)*f/(-d)^(1/2))*Pi^(1/2)*exp(-(1/4)*f^2/d)*a*f*d^4+4*erf((1/2)*f/(-d)^(1/2))*Pi^(1/2)*exp(-(1/4)*f^2/d)*b*d^5-8*a*(-d)^(9/2))/(-d)^(13/2), int((1+((2*a*x+b)*exp(d*x^2+f*x)+(a*x^2+b*x+c)*(2*d*x+f)*exp(d*x^2+f*x))^2)^(1/2)-50, x = 0 .. xend) = 0, initialpoint = {a = -0.2e-1, b = 1.06, c = 0.14e-2, d = 0.46e-3, f = -0.12e-2, g = -0.14e-2, xend = 30})" height="514" src="/view.aspx?sf=243551_question/b49100a7ff66f3e31d0562bd0161a76c.gif" style="vertical-align:-474px" width="728"&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;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&amp;nbsp;&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=243551_question/test.mw"&gt;Download test.mw&lt;/a&gt;&lt;/p&gt;
</description>
      <guid>243551</guid>
      <pubDate>Mon, 20 Apr 2026 14:31:08 Z</pubDate>
      <itunes:author>Alfred_F</itunes:author>
      <author>Alfred_F</author>
    </item>
    <item>
      <title>Shortcut to enter colon-dash?</title>
      <link>http://www.mapleprimes.com/questions/243545-Shortcut-To-Enter-Colondash?ref=Feed:MaplePrimes:Unanswered Questions</link>
      <itunes:summary>&lt;p&gt;The command completion facility is real time saver. On the other hand, entering the colon dash is not fluent since it requires searching the keys on the key board.&lt;/p&gt;

&lt;p&gt;I was wondering if there is a keyboard shortcut that enters both characters at once.&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;The command completion facility is real time saver. On the other hand, entering the colon dash is not fluent since it requires searching the keys on the key board.&lt;/p&gt;

&lt;p&gt;I was wondering if there is a keyboard shortcut that enters both characters at once.&lt;/p&gt;
</description>
      <guid>243545</guid>
      <pubDate>Thu, 16 Apr 2026 10:26:20 Z</pubDate>
      <itunes:author>C_R</itunes:author>
      <author>C_R</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:Unanswered Questions</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>
    <item>
      <title>Substitution in pde with conjugate?</title>
      <link>http://www.mapleprimes.com/questions/242525-Substitution-In-Pde-With-Conjugate?ref=Feed:MaplePrimes:Unanswered Questions</link>
      <itunes:summary>&lt;p&gt;most of time is give me true my substittuetion but&amp;nbsp; a lot time i saw it is not make my substittuetion true and this time i figure out which author did&amp;nbsp; &amp;nbsp;and outcome is what i am looking but when i do that is so different where is problem&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&lt;img src="/view.aspx?sf=242525_question/x1.jpg"&gt;&lt;/p&gt;

&lt;p&gt;&lt;img src="/view.aspx?sf=242525_question/x11.jpg"&gt;&lt;/p&gt;

&lt;p&gt;&lt;a href="/view.aspx?sf=242525_question/f-m.mw"&gt;f-m.mw&lt;/a&gt;&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;most of time is give me true my substittuetion but&amp;nbsp; a lot time i saw it is not make my substittuetion true and this time i figure out which author did&amp;nbsp; &amp;nbsp;and outcome is what i am looking but when i do that is so different where is problem&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&lt;img src="/view.aspx?sf=242525_question/x1.jpg"&gt;&lt;/p&gt;

&lt;p&gt;&lt;img src="/view.aspx?sf=242525_question/x11.jpg"&gt;&lt;/p&gt;

&lt;p&gt;&lt;a href="/view.aspx?sf=242525_question/f-m.mw"&gt;f-m.mw&lt;/a&gt;&lt;/p&gt;
</description>
      <guid>242525</guid>
      <pubDate>Tue, 07 Apr 2026 21:28:05 Z</pubDate>
      <itunes:author>salim-barzani</itunes:author>
      <author>salim-barzani</author>
    </item>
  </channel>
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