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    <title>MaplePrimes - answers and comments on Question, Help With A Possible Improper Integral (What Is The Error Function, erf(x) ?)</title>
    <link>http://www.mapleprimes.com/questions/41823-Help-With-A-Possible-Improper-Integral-</link>
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    <copyright>2026 Maplesoft, A Division of Waterloo Maple Inc.</copyright>
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    <lastBuildDate>Sat, 13 Jun 2026 20:01:05 GMT</lastBuildDate>
    <pubDate>Sat, 13 Jun 2026 20:01:05 GMT</pubDate>
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    <description>The latest answers and comments added to the Question, Help With A Possible Improper Integral (What Is The Error Function, erf(x) ?)</description>
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      <url>http://www.mapleprimes.com/images/mapleprimeswhite.jpg</url>
      <title>MaplePrimes - answers and comments on Question, Help With A Possible Improper Integral (What Is The Error Function, erf(x) ?)</title>
      <link>http://www.mapleprimes.com/questions/41823-Help-With-A-Possible-Improper-Integral-</link>
    </image>
    <item>
      <title>infinity not inf</title>
      <link>http://www.mapleprimes.com/questions/41823-Help-With-A-Possible-Improper-Integral-?ref=Feed:MaplePrimes:Help With A Possible Improper Integral (What Is The Error Function, erf(x) ?):Comments#answer78120</link>
      <itunes:summary>The Maple symbol for infinity is the full name 'infinity'.  With that in your worksheet, the integral comes out as
&lt;maple&gt;1/4*A^2*h^(1/2)/a^(1/2)/m^(1/2)&lt;/maple&gt; (after a simplify), which is probably what you are looking for?

By the way, the error function (see ?erf) is defined to be the cumulative density function for the Gaussian, which otherwise does not have a closed-form.  In other words, it is essentially the 'name' for the input integral you gave!</itunes:summary>
      <description>The Maple symbol for infinity is the full name 'infinity'.  With that in your worksheet, the integral comes out as
&lt;maple&gt;1/4*A^2*h^(1/2)/a^(1/2)/m^(1/2)&lt;/maple&gt; (after a simplify), which is probably what you are looking for?

By the way, the error function (see ?erf) is defined to be the cumulative density function for the Gaussian, which otherwise does not have a closed-form.  In other words, it is essentially the 'name' for the input integral you gave!</description>
      <guid>78120</guid>
      <pubDate>Thu, 22 Feb 2007 07:48:27 Z</pubDate>
      <itunes:author>JacquesC</itunes:author>
      <author>JacquesC</author>
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    <item>
      <title>Life Saver</title>
      <link>http://www.mapleprimes.com/questions/41823-Help-With-A-Possible-Improper-Integral-?ref=Feed:MaplePrimes:Help With A Possible Improper Integral (What Is The Error Function, erf(x) ?):Comments#answer78119</link>
      <itunes:summary>Thanks.

That is very useful information that I think I would probably never concluded using the maple help.

I'll try your suggestion, and again thanks.

dc</itunes:summary>
      <description>Thanks.

That is very useful information that I think I would probably never concluded using the maple help.

I'll try your suggestion, and again thanks.

dc</description>
      <guid>78119</guid>
      <pubDate>Thu, 22 Feb 2007 07:53:58 Z</pubDate>
      <itunes:author>dcasimir</itunes:author>
      <author>dcasimir</author>
    </item>
    <item>
      <title>How Would I Also Plot It ?</title>
      <link>http://www.mapleprimes.com/questions/41823-Help-With-A-Possible-Improper-Integral-?ref=Feed:MaplePrimes:Help With A Possible Improper Integral (What Is The Error Function, erf(x) ?):Comments#comment85890</link>
      <itunes:summary>I also tried plotting this function, and kept getting empty plot errors.

Any hints ?

v/r,

Dan</itunes:summary>
      <description>I also tried plotting this function, and kept getting empty plot errors.

Any hints ?

v/r,

Dan</description>
      <guid>85890</guid>
      <pubDate>Thu, 22 Feb 2007 20:15:17 Z</pubDate>
      <itunes:author>dcasimir</itunes:author>
      <author>dcasimir</author>
    </item>
    <item>
      <title>Plotting which function exactly?</title>
      <link>http://www.mapleprimes.com/questions/41823-Help-With-A-Possible-Improper-Integral-?ref=Feed:MaplePrimes:Help With A Possible Improper Integral (What Is The Error Function, erf(x) ?):Comments#comment91192</link>
      <itunes:summary>You need to be more precise, since &lt;code&gt;plot(erf(x),x=-5..5)&lt;/code&gt; works fine for me.  What exactly are you trying to plot that is failing?</itunes:summary>
      <description>You need to be more precise, since &lt;code&gt;plot(erf(x),x=-5..5)&lt;/code&gt; works fine for me.  What exactly are you trying to plot that is failing?</description>
      <guid>91192</guid>
      <pubDate>Fri, 23 Feb 2007 04:14:23 Z</pubDate>
      <itunes:author>JacquesC</itunes:author>
      <author>JacquesC</author>
    </item>
    <item>
      <title>The square expression or the psi(x) mapping</title>
      <link>http://www.mapleprimes.com/questions/41823-Help-With-A-Possible-Improper-Integral-?ref=Feed:MaplePrimes:Help With A Possible Improper Integral (What Is The Error Function, erf(x) ?):Comments#comment91193</link>
      <itunes:summary>Sorry,

I'm trying to plot either the 
expression: square, which is just the 
function psi(x) multiplied by itself.

or the function psi(x) itself.


I think it's the constants in those expressions
causing the problems.

Thanks,

Dan</itunes:summary>
      <description>Sorry,

I'm trying to plot either the 
expression: square, which is just the 
function psi(x) multiplied by itself.

or the function psi(x) itself.


I think it's the constants in those expressions
causing the problems.

Thanks,

Dan</description>
      <guid>91193</guid>
      <pubDate>Fri, 23 Feb 2007 05:54:24 Z</pubDate>
      <itunes:author>dcasimir</itunes:author>
      <author>dcasimir</author>
    </item>
    <item>
      <title>Sorry About The Unorganized Worksheet</title>
      <link>http://www.mapleprimes.com/questions/41823-Help-With-A-Possible-Improper-Integral-?ref=Feed:MaplePrimes:Help With A Possible Improper Integral (What Is The Error Function, erf(x) ?):Comments#comment91194</link>
      <itunes:summary>Sorry About not "tidying" the worksheet,
and precisely stating my request.

v/r,

</itunes:summary>
      <description>Sorry About not "tidying" the worksheet,
and precisely stating my request.

v/r,

</description>
      <guid>91194</guid>
      <pubDate>Fri, 23 Feb 2007 05:56:02 Z</pubDate>
      <itunes:author>dcasimir</itunes:author>
      <author>dcasimir</author>
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