<rss xmlns:itunes="http://www.itunes.com/dtds/podcast-1.0.dtd" version="2.0">
  <channel>
    <title>MaplePrimes - Maple Posts and Questions</title>
    <link>http://www.mapleprimes.com/tags/Maple</link>
    <language>en-us</language>
    <copyright>2026 Maplesoft, A Division of Waterloo Maple Inc.</copyright>
    <generator>Maplesoft Document System</generator>
    <lastBuildDate>Wed, 08 Apr 2026 09:14:19 GMT</lastBuildDate>
    <pubDate>Wed, 08 Apr 2026 09:14:19 GMT</pubDate>
    <itunes:subtitle />
    <itunes:summary />
    <description>Maple Questions and Posts on MaplePrimes</description>
    <image>
      <url>http://www.mapleprimes.com/images/mapleprimeswhite.jpg</url>
      <title>MaplePrimes - Maple Posts and Questions</title>
      <link>http://www.mapleprimes.com/tags/Maple</link>
    </image>
    <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:Tagged With Maple</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>Sphere with earth texture</title>
      <link>http://www.mapleprimes.com/questions/242526-Sphere-With-Earth-Texture?ref=Feed:MaplePrimes:Tagged With Maple</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:Tagged With Maple</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:Tagged With Maple</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>
    </item>
    <item>
      <title>Prompt for AI Assistant</title>
      <link>http://www.mapleprimes.com/questions/242384-Prompt-For-AI-Assistant?ref=Feed:MaplePrimes:Tagged With Maple</link>
      <itunes:summary>&lt;p&gt;To find the recently introduced new command that compares two expressions, I prompted the large model:&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&lt;img height="36" src="data:image/png;base64,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" width="129"&gt;&lt;/p&gt;

&lt;p&gt;&lt;img src="data:image/png;base64,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"&gt;&lt;/p&gt;

&lt;p&gt;Answer:&lt;/p&gt;

&lt;p&gt;A useful Maple command specifically for comparing two expressions is verify.&lt;br&gt;
Use it like this:&lt;br&gt;
verify(expr1, expr2, equal);&lt;br&gt;
This asks Maple whether the two expressions are mathematically equal.&lt;br&gt;
If you want a more robust algebraic check, a very common alternative is:&lt;br&gt;
is(simplify(expr1 - expr2) = 0);&lt;br&gt;
For polynomial expressions, this is also common:&lt;br&gt;
evalb(expand(expr1 - expr2) = 0);&lt;/p&gt;

&lt;p&gt;This is not what I was looking for. I was looking for the command that visually highlights differences.&lt;br&gt;
Can the prompt be improved?&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;To find the recently introduced new command that compares two expressions, I prompted the large model:&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&lt;img height="36" src="data:image/png;base64,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" width="129" /&gt;&lt;/p&gt;

&lt;p&gt;&lt;img src="data:image/png;base64,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" /&gt;&lt;/p&gt;

&lt;p&gt;Answer:&lt;/p&gt;

&lt;p&gt;A useful Maple command specifically for comparing two expressions is verify.&lt;br /&gt;
Use it like this:&lt;br /&gt;
verify(expr1, expr2, equal);&lt;br /&gt;
This asks Maple whether the two expressions are mathematically equal.&lt;br /&gt;
If you want a more robust algebraic check, a very common alternative is:&lt;br /&gt;
is(simplify(expr1 - expr2) = 0);&lt;br /&gt;
For polynomial expressions, this is also common:&lt;br /&gt;
evalb(expand(expr1 - expr2) = 0);&lt;/p&gt;

&lt;p&gt;This is not what I was looking for. I was looking for the command that visually highlights differences.&lt;br /&gt;
Can the prompt be improved?&lt;/p&gt;
</description>
      <guid>242384</guid>
      <pubDate>Tue, 07 Apr 2026 04:36:04 Z</pubDate>
      <itunes:author>C_R</itunes:author>
      <author>C_R</author>
    </item>
    <item>
      <title>convolution boundaries</title>
      <link>http://www.mapleprimes.com/questions/242383-Convolution-Boundaries?ref=Feed:MaplePrimes:Tagged With Maple</link>
      <itunes:summary>&lt;p&gt;Greetings, Friends.&lt;/p&gt;

&lt;p&gt;I have a function f(t) which is a density function. It has a [0,2] interval and integrates to unity. I convolve f(t) with itself to get g(t). It has a [0,4] interval and integrates to unity. All is well with that and I understand.&lt;/p&gt;

&lt;p&gt;BUT, the boundary of g(t) shouild be on the interval [0,4/sqrt(3)]. This is based upon both my simulation and other analyses.&lt;/p&gt;

&lt;p&gt;At present, the area of the g(t) function on the [4/sqrt(3), 4] interval accounts for 1.408701% of the area under the curve. Not a &amp;quot;trivial&amp;quot; nor &amp;quot;throwaway&amp;quot; amount.&lt;/p&gt;

&lt;p&gt;Does anyone know of a way to &amp;quot;re-scale&amp;quot; or modify my convolved result g(t) so that all of the resultant area under the curve is on the [0,4/sqrt(3)] interval?&lt;/p&gt;

&lt;p&gt;My work is attached.&lt;/p&gt;

&lt;form name="worksheet_form"&gt;&lt;input name="md.ref" type="hidden" value="86CE4C9244B033FAABBACA01D7184F7E"&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="restart" height="23" src="/view.aspx?sf=242383_question/7b3dba23b56650d3a84d415a321ef0a0.gif" style="vertical-align:-6px" width="54"&gt;&lt;/p&gt;
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						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="with(Statistics)" height="23" src="/view.aspx?sf=242383_question/65bb6756f97b705e3f79568521623128.gif" style="vertical-align:-6px" width="111"&gt;&lt;/p&gt;
						&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;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="f := proc (t) options operator, arrow; piecewise(t &amp;lt;= 0, 0, t &amp;lt;= 2, 6/5-(3/2)*t^2+(3/4)*t^3-(3/80)*t^5, 2 &amp;lt;= t, 0) end proc" height="42" src="/view.aspx?sf=242383_question/dd8aa506a6faa9ca7fc3e06e6a83bd0b.gif" style="vertical-align:-16px" width="503"&gt;&lt;/p&gt;
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			&lt;table&gt;
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						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="proc (t) options operator, arrow; piecewise(t &amp;lt;= 0, 0, t &amp;lt;= 2, 6/5-(3/2)*t^2+(3/4)*t^3-(3/80)*t^5, 2 &amp;lt;= t, 0) end proc" height="98" src="/view.aspx?sf=242383_question/2d22f4dce540b13728fd92cc0911292a.gif" style="vertical-align:-43px" width="314"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(1)&lt;/td&gt;
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			&lt;table style="margin-left:0px;margin-right:0px"&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img align="middle" alt="plot(f(t), t = 0 .. 2)" height="58" src="/view.aspx?sf=242383_question/5db3c20e91d4a90052551ed9ea332fc2.gif" style="vertical-align:-41px" 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" height="500" src="/view.aspx?sf=242383_question/e80694b8351e82da1df90c6669f95d45.gif" style="border:none" width="500"&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;
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			&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: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="int(f(t), t = 0 .. 2)" height="23" src="/view.aspx?sf=242383_question/cf71a31a3dec47e15db290084d507a86.gif" style="vertical-align:-6px" width="120"&gt;&lt;/p&gt;
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			&lt;table&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="1" height="23" src="/view.aspx?sf=242383_question/84bba2591bbcc56732b126dbfa20ba69.gif" style="vertical-align:-6px" width="13"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(2)&lt;/td&gt;
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						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="simplify(int(f(tau)*f(t-tau), tau = -infinity .. infinity))" height="23" src="/view.aspx?sf=242383_question/9e292fbcea82bdacc0d24db432664120.gif" style="vertical-align:-6px" width="356"&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="(1/1971200)*piecewise(t &amp;lt;= 0, 0, t &amp;lt;= 2, t^11-220*t^9+1320*t^8+7920*t^7-103488*t^6+147840*t^5+887040*t^4-2365440*t^3+2838528*t, t &amp;lt;= 4, -(t^4+28*t^3+228*t^2+536*t+80)*(t-4)^7, 4 &amp;lt; t, 0)" height="130" src="/view.aspx?sf=242383_question/5736e357a8d5921d9418eea76199f403.gif" style="vertical-align:-16px" width="697"&gt;&lt;/p&gt;
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						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(3)&lt;/td&gt;
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						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="g := unapply(simplify(int(f(tau)*f(t-tau), tau = -infinity .. infinity)), t)" height="23" src="/view.aspx?sf=242383_question/f81947147f8da4c609da2410a44e9074.gif" style="vertical-align:-6px" width="462"&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="proc (t) options operator, arrow; (1/1971200)*piecewise(t &amp;lt;= 0, 0, t &amp;lt;= 2, t^11-220*t^9+1320*t^8+7920*t^7-103488*t^6+147840*t^5+887040*t^4-2365440*t^3+2838528*t, t &amp;lt;= 4, -(t^4+28*t^3+228*t^2+536*t+80)*(t-4)^7, 4 &amp;lt; t, 0) end proc" height="147" src="/view.aspx?sf=242383_question/db2f01a4fef739120b260321ff644457.gif" style="vertical-align:-130px" width="738"&gt;&lt;/p&gt;
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						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(4)&lt;/td&gt;
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						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="plot(g(t), t = 0 .. 4)" height="23" src="/view.aspx?sf=242383_question/ef5bb1fe43fed2ea5c4b7f3a7989a002.gif" style="vertical-align:-6px" width="127"&gt;&lt;/p&gt;
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						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="int(g(t), t = 0 .. 4)" height="23" src="/view.aspx?sf=242383_question/2d90738efe93efa4746847b81c7d44cf.gif" style="vertical-align:-6px" width="119"&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="1" height="23" src="/view.aspx?sf=242383_question/470b9f7c49b853add06dd2c8fdcb0938.gif" style="vertical-align:-6px" width="13"&gt;&lt;/p&gt;
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						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(5)&lt;/td&gt;
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						&lt;td&gt;&lt;span style="color:#78000e;font-size: 100%;font-family: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="evalf(int(g(t), t = 0 .. 4/sqrt(3)))" height="42" src="/view.aspx?sf=242383_question/6bd24f4b306c0a8ef8ccf78c3b4a5105.gif" style="vertical-align:-16px" width="220"&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=".98591299" height="23" src="/view.aspx?sf=242383_question/b7fbd453d799fed7d4175d86d2100b42.gif" style="vertical-align:-6px" width="77"&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:0px; padding-bottom:0px"&gt;&lt;img align="middle" alt="evalf(int(g(t), t = 4/sqrt(3) .. 4))" height="60" src="/view.aspx?sf=242383_question/d2128fcbec011ac20630ecce169116f9.gif" style="vertical-align:-34px" width="768"&gt;&lt;/p&gt;
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						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="0.1408701e-1" height="23" src="/view.aspx?sf=242383_question/f0c5f4296df99055ff17410761c54614.gif" style="vertical-align:-6px" width="77"&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:0px; padding-bottom:0px"&gt;&lt;img alt="NULL" height="23" src="/view.aspx?sf=242383_question/8429a65b4e88d4a09d180eea72630989.gif" style="vertical-align:-6px" width="9"&gt;&lt;/p&gt;
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&lt;p&gt;&lt;a href="/view.aspx?sf=242383_question/SphereConvolution.mw"&gt;Download SphereConvolution.mw&lt;/a&gt;&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;Greetings, Friends.&lt;/p&gt;

&lt;p&gt;I have a function f(t) which is a density function. It has a [0,2] interval and integrates to unity. I convolve f(t) with itself to get g(t). It has a [0,4] interval and integrates to unity. All is well with that and I understand.&lt;/p&gt;

&lt;p&gt;BUT, the boundary of g(t) shouild be on the interval [0,4/sqrt(3)]. This is based upon both my simulation and other analyses.&lt;/p&gt;

&lt;p&gt;At present, the area of the g(t) function on the [4/sqrt(3), 4] interval accounts for 1.408701% of the area under the curve. Not a &amp;quot;trivial&amp;quot; nor &amp;quot;throwaway&amp;quot; amount.&lt;/p&gt;

&lt;p&gt;Does anyone know of a way to &amp;quot;re-scale&amp;quot; or modify my convolved result g(t) so that all of the resultant area under the curve is on the [0,4/sqrt(3)] interval?&lt;/p&gt;

&lt;p&gt;My work is attached.&lt;/p&gt;

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						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="restart" height="23" src="/view.aspx?sf=242383_question/7b3dba23b56650d3a84d415a321ef0a0.gif" style="vertical-align:-6px" width="54"&gt;&lt;/p&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="with(Statistics)" height="23" src="/view.aspx?sf=242383_question/65bb6756f97b705e3f79568521623128.gif" style="vertical-align:-6px" width="111"&gt;&lt;/p&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="f := proc (t) options operator, arrow; piecewise(t &amp;lt;= 0, 0, t &amp;lt;= 2, 6/5-(3/2)*t^2+(3/4)*t^3-(3/80)*t^5, 2 &amp;lt;= t, 0) end proc" height="42" src="/view.aspx?sf=242383_question/dd8aa506a6faa9ca7fc3e06e6a83bd0b.gif" style="vertical-align:-16px" width="503"&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:0px; padding-bottom:0px"&gt;&lt;img align="middle" alt="plot(f(t), t = 0 .. 2)" height="58" src="/view.aspx?sf=242383_question/5db3c20e91d4a90052551ed9ea332fc2.gif" style="vertical-align:-41px" width="768"&gt;&lt;/p&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="int(f(t), t = 0 .. 2)" height="23" src="/view.aspx?sf=242383_question/cf71a31a3dec47e15db290084d507a86.gif" style="vertical-align:-6px" width="120"&gt;&lt;/p&gt;
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						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(2)&lt;/td&gt;
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						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="simplify(int(f(tau)*f(t-tau), tau = -infinity .. infinity))" height="23" src="/view.aspx?sf=242383_question/9e292fbcea82bdacc0d24db432664120.gif" style="vertical-align:-6px" width="356"&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="(1/1971200)*piecewise(t &amp;lt;= 0, 0, t &amp;lt;= 2, t^11-220*t^9+1320*t^8+7920*t^7-103488*t^6+147840*t^5+887040*t^4-2365440*t^3+2838528*t, t &amp;lt;= 4, -(t^4+28*t^3+228*t^2+536*t+80)*(t-4)^7, 4 &amp;lt; t, 0)" height="130" src="/view.aspx?sf=242383_question/5736e357a8d5921d9418eea76199f403.gif" style="vertical-align:-16px" width="697"&gt;&lt;/p&gt;
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						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(3)&lt;/td&gt;
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						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="g := unapply(simplify(int(f(tau)*f(t-tau), tau = -infinity .. infinity)), t)" height="23" src="/view.aspx?sf=242383_question/f81947147f8da4c609da2410a44e9074.gif" style="vertical-align:-6px" width="462"&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="proc (t) options operator, arrow; (1/1971200)*piecewise(t &amp;lt;= 0, 0, t &amp;lt;= 2, t^11-220*t^9+1320*t^8+7920*t^7-103488*t^6+147840*t^5+887040*t^4-2365440*t^3+2838528*t, t &amp;lt;= 4, -(t^4+28*t^3+228*t^2+536*t+80)*(t-4)^7, 4 &amp;lt; t, 0) end proc" height="147" src="/view.aspx?sf=242383_question/db2f01a4fef739120b260321ff644457.gif" style="vertical-align:-130px" 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;(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: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="plot(g(t), t = 0 .. 4)" height="23" src="/view.aspx?sf=242383_question/ef5bb1fe43fed2ea5c4b7f3a7989a002.gif" style="vertical-align:-6px" width="127"&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" height="500" src="/view.aspx?sf=242383_question/8826fd5b59d3b2e2a38711628a21dbd2.gif" style="border:none" width="500"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;&amp;nbsp;&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;

			&lt;table 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: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="int(g(t), t = 0 .. 4)" height="23" src="/view.aspx?sf=242383_question/2d90738efe93efa4746847b81c7d44cf.gif" style="vertical-align:-6px" width="119"&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" height="23" src="/view.aspx?sf=242383_question/470b9f7c49b853add06dd2c8fdcb0938.gif" style="vertical-align:-6px" width="13"&gt;&lt;/p&gt;
						&lt;/td&gt;
						&lt;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(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: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="evalf(int(g(t), t = 0 .. 4/sqrt(3)))" height="42" src="/view.aspx?sf=242383_question/6bd24f4b306c0a8ef8ccf78c3b4a5105.gif" style="vertical-align:-16px" width="220"&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=".98591299" height="23" src="/view.aspx?sf=242383_question/b7fbd453d799fed7d4175d86d2100b42.gif" style="vertical-align:-6px" width="77"&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: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img align="middle" alt="evalf(int(g(t), t = 4/sqrt(3) .. 4))" height="60" src="/view.aspx?sf=242383_question/d2128fcbec011ac20630ecce169116f9.gif" style="vertical-align:-34px" 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 alt="0.1408701e-1" height="23" src="/view.aspx?sf=242383_question/f0c5f4296df99055ff17410761c54614.gif" style="vertical-align:-6px" width="77"&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: Courier New,monospace;font-weight:bold;font-style:normal;"&gt;&amp;nbsp;&lt;/span&gt;&lt;/td&gt;
						&lt;td&gt;
						&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="NULL" height="23" src="/view.aspx?sf=242383_question/8429a65b4e88d4a09d180eea72630989.gif" style="vertical-align:-6px" width="9"&gt;&lt;/p&gt;
						&lt;/td&gt;
					&lt;/tr&gt;
				&lt;/tbody&gt;
			&lt;/table&gt;
			&lt;/td&gt;
		&lt;/tr&gt;
	&lt;/tbody&gt;
&lt;/table&gt;
&lt;input name="sequence" type="hidden" value="1"&gt; &lt;input name="cmd" type="hidden" value="none"&gt;&lt;/form&gt;

&lt;p&gt;&lt;a href="/view.aspx?sf=242383_question/SphereConvolution.mw"&gt;Download SphereConvolution.mw&lt;/a&gt;&lt;/p&gt;
</description>
      <guid>242383</guid>
      <pubDate>Mon, 06 Apr 2026 17:45:57 Z</pubDate>
      <itunes:author>JoyDivisionMan</itunes:author>
      <author>JoyDivisionMan</author>
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