<rss xmlns:itunes="http://www.itunes.com/dtds/podcast-1.0.dtd" version="2.0">
  <channel>
    <title>MaplePrimes - Newest Questions</title>
    <link>http://www.mapleprimes.com/questions</link>
    <language>en-us</language>
    <copyright>2026 Maplesoft, A Division of Waterloo Maple Inc.</copyright>
    <generator>Maplesoft Document System</generator>
    <lastBuildDate>Fri, 10 Apr 2026 21:47:45 GMT</lastBuildDate>
    <pubDate>Fri, 10 Apr 2026 21:47:45 GMT</pubDate>
    <itunes:subtitle />
    <itunes:summary />
    <description>The questions most recently asked on MaplePrimes</description>
    <image>
      <url>http://www.mapleprimes.com/images/mapleprimeswhite.jpg</url>
      <title>MaplePrimes - Newest Questions</title>
      <link>http://www.mapleprimes.com/questions</link>
    </image>
    <item>
      <title>Factorizing nested radicals</title>
      <link>http://www.mapleprimes.com/questions/242536-Factorizing-Nested-Radicals?ref=Feed:MaplePrimes:New%20Questions</link>
      <itunes:summary>&lt;p&gt;# The question is: how to get S knowing E?&amp;nbsp; All the attemps below after S assigned (suggested by Claude) fail factoring E.&amp;nbsp;&amp;nbsp;&lt;br&gt;
&lt;br&gt;
restart;&lt;/p&gt;

&lt;p&gt;interface(showassumed = 0):&amp;nbsp;&lt;br&gt;
assume(a&amp;gt;=0, b&amp;gt;=0, c&amp;gt;=0);&lt;br&gt;
assume(x::real, y::real,z::real);&lt;/p&gt;

&lt;p&gt;S := sqrt(x^2+(a+sqrt(y^2+(b+sqrt(z^2+c^2))^2))^2):&lt;br&gt;
E := expand(S):&lt;br&gt;
simplify(E,sqrt):&lt;br&gt;
combine(E,sqrt):&lt;br&gt;
simplify(combine(E, sqrt), sqrt):&lt;br&gt;
evalindets(E, &amp;#39;radical&amp;#39;, f -&amp;gt; simplify(f, sqrt)):&lt;br&gt;
simplify(radnormal(E), sqrt):&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;# The question is: how to get S knowing E?&amp;nbsp; All the attemps below after S assigned (suggested by Claude) fail factoring E.&amp;nbsp;&amp;nbsp;&lt;br /&gt;
&lt;br /&gt;
restart;&lt;/p&gt;

&lt;p&gt;interface(showassumed = 0):&amp;nbsp;&lt;br /&gt;
assume(a&amp;gt;=0, b&amp;gt;=0, c&amp;gt;=0);&lt;br /&gt;
assume(x::real, y::real,z::real);&lt;/p&gt;

&lt;p&gt;S := sqrt(x^2+(a+sqrt(y^2+(b+sqrt(z^2+c^2))^2))^2):&lt;br /&gt;
E := expand(S):&lt;br /&gt;
simplify(E,sqrt):&lt;br /&gt;
combine(E,sqrt):&lt;br /&gt;
simplify(combine(E, sqrt), sqrt):&lt;br /&gt;
evalindets(E, &amp;#39;radical&amp;#39;, f -&amp;gt; simplify(f, sqrt)):&lt;br /&gt;
simplify(radnormal(E), sqrt):&lt;/p&gt;
</description>
      <guid>242536</guid>
      <pubDate>Fri, 10 Apr 2026 16:21:44 Z</pubDate>
      <itunes:author>danielpf</itunes:author>
      <author>danielpf</author>
    </item>
    <item>
      <title>How to concatenate Matrices?</title>
      <link>http://www.mapleprimes.com/questions/242531-How-To-Concatenate-Matrices?ref=Feed:MaplePrimes:New%20Questions</link>
      <itunes:summary>&lt;p&gt;&amp;nbsp;My question concerns such situation:&lt;/p&gt;

&lt;p&gt;&amp;nbsp;how to concatenate the following matrices:&lt;/p&gt;

&lt;p&gt;&lt;img alt="Matrix([[-2, 1, 0, 0, 0, 0, 0, 0], [1, -2, 1, 0, 0, 0, 0, 0], [0, 1, -2, 1, 0, 0, 0, 0], [0, 0, 1, -2, 1, 0, 0, 0], [0, 0, 0, 1, -2, 1, 0, 0], [0, 0, 0, 0, 1, -2, 1, 0], [0, 0, 0, 0, 0, 1, -2, 1], [0, 0, 0, 0, 0, 0, 1, -2]])/(1/50)^2" src="http://www.mapleprimes.com/MapleImage.ashx?f=4e6ae898d66c7081710a929d169e194d.gif"&gt;&lt;/p&gt;

&lt;p&gt;&lt;img alt="Matrix([[0, 0, 0, 0, 0, 0, 0, 0], [1, -2, 1, 0, 0, 0, 0, 0], [0, 1, -2, 1, 0, 0, 0, 0], [0, 0, 1, -2, 1, 0, 0, 0], [0, 0, 0, 1, -2, 1, 0, 0], [0, 0, 0, 0, 1, -2, 1, 0], [0, 0, 0, 0, 0, 1, -2, 1], [0, 0, 0, 0, 0, 0, 1, -2]])" src="http://www.mapleprimes.com/MapleImage.ashx?f=bfa1851f9cce44c9f797adc060e27c49.gif"&gt;&lt;/p&gt;

&lt;p&gt;&lt;img alt="Matrix([[-2, 1, 0, 0, 0, 0, 0, 0], [1, -2, 1, 0, 0, 0, 0, 0], [0, 1, -2, 1, 0, 0, 0, 0], [0, 0, 1, -2, 1, 0, 0, 0], [0, 0, 0, 1, -2, 1, 0, 0], [0, 0, 0, 0, 1, -2, 1, 0], [0, 0, 0, 0, 0, 1, -2, 1], [0, 0, 0, 0, 0, 0, 1, -2]])/(1/25)^2" src="http://www.mapleprimes.com/MapleImage.ashx?f=aceaa2184bcf8fc550403605a91d3d08.gif"&gt;&lt;/p&gt;

&lt;p&gt;and&lt;/p&gt;

&lt;p&gt;&lt;img alt="1/3*Matrix([[0, 0, 0, 0, 0, 0, 0, 0], [1, -2, 1, 0, 0, 0, 0, 0], [0, 1, -2, 1, 0, 0, 0, 0], [0, 0, 1, -2, 1, 0, 0, 0], [0, 0, 0, 1, -2, 1, 0, 0], [0, 0, 0, 0, 1, -2, 1, 0], [0, 0, 0, 0, 0, 1, -2, 1], [0, 0, 0, 0, 0, 0, 1, -2]])" src="http://www.mapleprimes.com/MapleImage.ashx?f=a452bb6b154fab0185eeea3e200c64d7.gif"&gt;&lt;/p&gt;

&lt;p&gt;????&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;&amp;nbsp;My question concerns such situation:&lt;/p&gt;

&lt;p&gt;&amp;nbsp;how to concatenate the following matrices:&lt;/p&gt;

&lt;p&gt;&lt;img alt="Matrix([[-2, 1, 0, 0, 0, 0, 0, 0], [1, -2, 1, 0, 0, 0, 0, 0], [0, 1, -2, 1, 0, 0, 0, 0], [0, 0, 1, -2, 1, 0, 0, 0], [0, 0, 0, 1, -2, 1, 0, 0], [0, 0, 0, 0, 1, -2, 1, 0], [0, 0, 0, 0, 0, 1, -2, 1], [0, 0, 0, 0, 0, 0, 1, -2]])/(1/50)^2" src="http://www.mapleprimes.com/MapleImage.ashx?f=4e6ae898d66c7081710a929d169e194d.gif" /&gt;&lt;/p&gt;

&lt;p&gt;&lt;img alt="Matrix([[0, 0, 0, 0, 0, 0, 0, 0], [1, -2, 1, 0, 0, 0, 0, 0], [0, 1, -2, 1, 0, 0, 0, 0], [0, 0, 1, -2, 1, 0, 0, 0], [0, 0, 0, 1, -2, 1, 0, 0], [0, 0, 0, 0, 1, -2, 1, 0], [0, 0, 0, 0, 0, 1, -2, 1], [0, 0, 0, 0, 0, 0, 1, -2]])" src="http://www.mapleprimes.com/MapleImage.ashx?f=bfa1851f9cce44c9f797adc060e27c49.gif" /&gt;&lt;/p&gt;

&lt;p&gt;&lt;img alt="Matrix([[-2, 1, 0, 0, 0, 0, 0, 0], [1, -2, 1, 0, 0, 0, 0, 0], [0, 1, -2, 1, 0, 0, 0, 0], [0, 0, 1, -2, 1, 0, 0, 0], [0, 0, 0, 1, -2, 1, 0, 0], [0, 0, 0, 0, 1, -2, 1, 0], [0, 0, 0, 0, 0, 1, -2, 1], [0, 0, 0, 0, 0, 0, 1, -2]])/(1/25)^2" src="http://www.mapleprimes.com/MapleImage.ashx?f=aceaa2184bcf8fc550403605a91d3d08.gif" /&gt;&lt;/p&gt;

&lt;p&gt;and&lt;/p&gt;

&lt;p&gt;&lt;img alt="1/3*Matrix([[0, 0, 0, 0, 0, 0, 0, 0], [1, -2, 1, 0, 0, 0, 0, 0], [0, 1, -2, 1, 0, 0, 0, 0], [0, 0, 1, -2, 1, 0, 0, 0], [0, 0, 0, 1, -2, 1, 0, 0], [0, 0, 0, 0, 1, -2, 1, 0], [0, 0, 0, 0, 0, 1, -2, 1], [0, 0, 0, 0, 0, 0, 1, -2]])" src="http://www.mapleprimes.com/MapleImage.ashx?f=a452bb6b154fab0185eeea3e200c64d7.gif" /&gt;&lt;/p&gt;

&lt;p&gt;????&lt;/p&gt;
</description>
      <guid>242531</guid>
      <pubDate>Wed, 08 Apr 2026 15:56:00 Z</pubDate>
      <itunes:author>Lukasz</itunes:author>
      <author>Lukasz</author>
    </item>
    <item>
      <title>Replacing placeholder names in nested RootOfs</title>
      <link>http://www.mapleprimes.com/questions/242527-Replacing-Placeholder-Names-In-Nested-RootOfs?ref=Feed:MaplePrimes:New%20Questions</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;
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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&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>Sphere with earth texture</title>
      <link>http://www.mapleprimes.com/questions/242526-Sphere-With-Earth-Texture?ref=Feed:MaplePrimes:New%20Questions</link>
      <itunes:summary>&lt;p&gt;Dear Maple users&lt;/p&gt;

&lt;p&gt;&lt;span class="HwtZe"&gt;&lt;span class="jCAhz ChMk0b"&gt;&lt;span class="ryNqvb"&gt;Is there a way in Maple to create a sphere with a texture similar to that of the Earth (UV mapping maybe?).&lt;/span&gt;&lt;/span&gt; &lt;span class="jCAhz ChMk0b"&gt;&lt;span class="ryNqvb"&gt;I plan to later add mathematically defined spatial curves to the sphere to study differential geometry aspects.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p&gt;Erik&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;Dear Maple users&lt;/p&gt;

&lt;p&gt;&lt;span class="HwtZe" jsaction="mouseup:Sxi9L,BR6jm; mousedown:qjlr0e" jsname="jqKxS" lang="en"&gt;&lt;span class="jCAhz ChMk0b" jsaction="agoMJf:PFBcW;MZfLnc:P7O7bd;nt4Alf:pvnm0e,pfE8Hb,PFBcW;B01qod:dJXsye;H1e5u:iXtTIf;lYIUJf:hij5Wb;tSpjdb:qAKMYb" jscontroller="BiTO4b" jsname="txFAF"&gt;&lt;span class="ryNqvb" jsaction="click:PDNqTc,GFf3ac,qlVvte;contextmenu:Nqw7Te,QP7LD; mouseout:Nqw7Te; mouseover:PDNqTc,c2aHje" jsname="W297wb"&gt;Is there a way in Maple to create a sphere with a texture similar to that of the Earth (UV mapping maybe?).&lt;/span&gt;&lt;/span&gt; &lt;span class="jCAhz ChMk0b" jsaction="agoMJf:PFBcW;MZfLnc:P7O7bd;nt4Alf:pvnm0e,pfE8Hb,PFBcW;B01qod:dJXsye;H1e5u:iXtTIf;lYIUJf:hij5Wb;tSpjdb:qAKMYb" jscontroller="BiTO4b" jsname="txFAF"&gt;&lt;span class="ryNqvb" jsaction="click:PDNqTc,GFf3ac,qlVvte;contextmenu:Nqw7Te,QP7LD; mouseout:Nqw7Te; mouseover:PDNqTc,c2aHje" jsname="W297wb"&gt;I plan to later add mathematically defined spatial curves to the sphere to study differential geometry aspects.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;

&lt;p&gt;Erik&lt;/p&gt;
</description>
      <guid>242526</guid>
      <pubDate>Wed, 08 Apr 2026 00:42:02 Z</pubDate>
      <itunes:author>erik10</itunes:author>
      <author>erik10</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:New%20Questions</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>
    <item>
      <title>How to find equation involving two odes?</title>
      <link>http://www.mapleprimes.com/questions/242524-How-To-Find-Equation-Involving-Two-Odes?ref=Feed:MaplePrimes:New%20Questions</link>
      <itunes:summary>&lt;p&gt;In here i did try my best and my equation outcome are ok but is not same as author did i dont know why, beside this he try to use two ode for constructing&amp;nbsp; a new ode which find of one solution of this can be the third solution of ode!&lt;br&gt;
&amp;nbsp;i have to use eq(5) for my orginal ode&amp;nbsp; but eq(5) contain f(x) and g(x) which by some assumption&amp;nbsp; and taking two other ode eq(6) and eq(7)&amp;nbsp; they construct new one which is eq(14) and by f(xi) and g(xi) have corelation with W(xi) which is third ode&amp;nbsp; as in eq(9) and eq(11) mentioned, i try to use the solution which author mentioned but is not give me solution of third ode by using corelation what is problem here? also in eq(21)&amp;nbsp; and eq(25) when thus parameter are satisfy must our odetest be zero&lt;/p&gt;

&lt;p&gt;i will update two maple file which realted separatly for constructing&amp;nbsp; equations and other is for apply and satisfy the solution for ode!&lt;br&gt;
&lt;img src="/view.aspx?sf=242524_question/vv.jpg"&gt;&lt;/p&gt;

&lt;p&gt;&lt;img src="/view.aspx?sf=242524_question/v2.jpg"&gt;&lt;/p&gt;

&lt;p&gt;&lt;a href="/view.aspx?sf=242524_question/F-p.mw"&gt;F-p.mw&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;&lt;a href="/view.aspx?sf=242524_question/ode-17.mw"&gt;ode-17.mw&lt;/a&gt;&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;In here i did try my best and my equation outcome are ok but is not same as author did i dont know why, beside this he try to use two ode for constructing&amp;nbsp; a new ode which find of one solution of this can be the third solution of ode!&lt;br&gt;
&amp;nbsp;i have to use eq(5) for my orginal ode&amp;nbsp; but eq(5) contain f(x) and g(x) which by some assumption&amp;nbsp; and taking two other ode eq(6) and eq(7)&amp;nbsp; they construct new one which is eq(14) and by f(xi) and g(xi) have corelation with W(xi) which is third ode&amp;nbsp; as in eq(9) and eq(11) mentioned, i try to use the solution which author mentioned but is not give me solution of third ode by using corelation what is problem here? also in eq(21)&amp;nbsp; and eq(25) when thus parameter are satisfy must our odetest be zero&lt;/p&gt;

&lt;p&gt;i will update two maple file which realted separatly for constructing&amp;nbsp; equations and other is for apply and satisfy the solution for ode!&lt;br&gt;
&lt;img src="/view.aspx?sf=242524_question/vv.jpg"&gt;&lt;/p&gt;

&lt;p&gt;&lt;img src="/view.aspx?sf=242524_question/v2.jpg"&gt;&lt;/p&gt;

&lt;p&gt;&lt;a href="/view.aspx?sf=242524_question/F-p.mw"&gt;F-p.mw&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;&lt;a href="/view.aspx?sf=242524_question/ode-17.mw"&gt;ode-17.mw&lt;/a&gt;&lt;/p&gt;
</description>
      <guid>242524</guid>
      <pubDate>Tue, 07 Apr 2026 17:22:38 Z</pubDate>
      <itunes:author>salim-barzani</itunes:author>
      <author>salim-barzani</author>
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