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    <title>MaplePrimes - Unanswered Questions</title>
    <link>http://www.mapleprimes.com/questions</link>
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    <copyright>2026 Maplesoft, A Division of Waterloo Maple Inc.</copyright>
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    <lastBuildDate>Wed, 22 Apr 2026 14:01:57 GMT</lastBuildDate>
    <pubDate>Wed, 22 Apr 2026 14:01:57 GMT</pubDate>
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    <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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      <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;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;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;td align="right" style="color:#000000; font-family:Times, serif; font-weight:bold; font-style:normal;"&gt;(2)&lt;/td&gt;
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						&lt;p align="left" style="margin:0 0 0 0; padding-top:3px; padding-bottom:3px"&gt;&lt;img alt="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;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="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;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;
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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="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;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>
    <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:Unanswered Questions</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>there is any code for converting hyper--&amp;gt;trig?</title>
      <link>http://www.mapleprimes.com/questions/242378-There-Is-Any-Code-For-Converting-Hypergttrig?ref=Feed:MaplePrimes:Unanswered Questions</link>
      <itunes:summary>&lt;p&gt;&amp;nbsp;a while ago there is a code for changing function from trig to hyperbolic and viceversa&amp;nbsp; but i can&amp;#39;t find that code except changind xi=I*xi there is another one?&lt;/p&gt;

&lt;form name="worksheet_form"&gt;&lt;input name="md.ref" type="hidden" value="5F12540E00D7E04BEABCB6F48CB8DFD4"&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:0px; padding-bottom:0px"&gt;&lt;img alt="restart" height="23" src="/view.aspx?sf=242378_question/a9921c5c105d337f95ab973ac206a964.gif" style="vertical-align:-6px" width="46"&gt;&lt;/p&gt;

			&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img align="middle" alt="S3 := G(xi) = -(sqrt(Omega)*(tanh(sqrt(Omega)*xi)+I*sech(sqrt(Omega)*xi))+B)/(2*C); S4 := G(xi) = -(sqrt(Omega)*(tanh(sqrt(Omega)*xi)-I*sech(sqrt(Omega)*xi))+B)/(2*C)" height="41" src="/view.aspx?sf=242378_question/27531aeaf48ea80164fb3c9923b4773d.gif" style="vertical-align:-24px" width="768"&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="G(xi) = -(1/2)*(Omega^(1/2)*(tanh(Omega^(1/2)*xi)-I*sech(Omega^(1/2)*xi))+B)/C" height="49" src="/view.aspx?sf=242378_question/5639daa307e96d9c07d49d0b0b9bc2ed.gif" style="vertical-align:-16px" width="381"&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:0px; padding-bottom:0px"&gt;&lt;img alt="convert(rhs(S3), trig)" height="23" src="/view.aspx?sf=242378_question/b1669932d6db64b87bab90d51e8f1730.gif" style="vertical-align:-6px" width="140"&gt;&lt;/p&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="-(1/2)*(Omega^(1/2)*(tanh(Omega^(1/2)*xi)+I*sech(Omega^(1/2)*xi))+B)/C" height="49" src="/view.aspx?sf=242378_question/fedae1aefb252b5e25c5e4ff1b9990f0.gif" style="vertical-align:-16px" width="291"&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:0px; padding-bottom:0px"&gt;&lt;img alt="NULL" height="23" src="/view.aspx?sf=242378_question/7da246c47d515e9b39375f3df03cf054.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;&lt;a href="/view.aspx?sf=242378_question/convert.mw"&gt;Download convert.mw&lt;/a&gt;&lt;/p&gt;
</itunes:summary>
      <description>&lt;p&gt;&amp;nbsp;a while ago there is a code for changing function from trig to hyperbolic and viceversa&amp;nbsp; but i can&amp;#39;t find that code except changind xi=I*xi there is another one?&lt;/p&gt;

&lt;form name="worksheet_form"&gt;&lt;input name="md.ref" type="hidden" value="5F12540E00D7E04BEABCB6F48CB8DFD4"&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:0px; padding-bottom:0px"&gt;&lt;img alt="restart" height="23" src="/view.aspx?sf=242378_question/a9921c5c105d337f95ab973ac206a964.gif" style="vertical-align:-6px" width="46"&gt;&lt;/p&gt;

			&lt;p align="left" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img align="middle" alt="S3 := G(xi) = -(sqrt(Omega)*(tanh(sqrt(Omega)*xi)+I*sech(sqrt(Omega)*xi))+B)/(2*C); S4 := G(xi) = -(sqrt(Omega)*(tanh(sqrt(Omega)*xi)-I*sech(sqrt(Omega)*xi))+B)/(2*C)" height="41" src="/view.aspx?sf=242378_question/27531aeaf48ea80164fb3c9923b4773d.gif" style="vertical-align:-24px" width="768"&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="G(xi) = -(1/2)*(Omega^(1/2)*(tanh(Omega^(1/2)*xi)-I*sech(Omega^(1/2)*xi))+B)/C" height="49" src="/view.aspx?sf=242378_question/5639daa307e96d9c07d49d0b0b9bc2ed.gif" style="vertical-align:-16px" width="381"&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:0px; padding-bottom:0px"&gt;&lt;img alt="convert(rhs(S3), trig)" height="23" src="/view.aspx?sf=242378_question/b1669932d6db64b87bab90d51e8f1730.gif" style="vertical-align:-6px" width="140"&gt;&lt;/p&gt;

			&lt;table&gt;
				&lt;tbody&gt;
					&lt;tr valign="baseline"&gt;
						&lt;td&gt;
						&lt;p align="center" style="margin:0 0 0 0; padding-top:0px; padding-bottom:0px"&gt;&lt;img alt="-(1/2)*(Omega^(1/2)*(tanh(Omega^(1/2)*xi)+I*sech(Omega^(1/2)*xi))+B)/C" height="49" src="/view.aspx?sf=242378_question/fedae1aefb252b5e25c5e4ff1b9990f0.gif" style="vertical-align:-16px" width="291"&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:0px; padding-bottom:0px"&gt;&lt;img alt="NULL" height="23" src="/view.aspx?sf=242378_question/7da246c47d515e9b39375f3df03cf054.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;&lt;a href="/view.aspx?sf=242378_question/convert.mw"&gt;Download convert.mw&lt;/a&gt;&lt;/p&gt;
</description>
      <guid>242378</guid>
      <pubDate>Sat, 04 Apr 2026 20:41:26 Z</pubDate>
      <itunes:author>salim-barzani</itunes:author>
      <author>salim-barzani</author>
    </item>
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