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    <title>MaplePrimes - answers and comments on Question, sum with trigonometric coefficients</title>
    <link>http://www.mapleprimes.com/questions/142744-Sum-With-Trigonometric-Coefficients</link>
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    <lastBuildDate>Tue, 09 Jun 2026 18:20:12 GMT</lastBuildDate>
    <pubDate>Tue, 09 Jun 2026 18:20:12 GMT</pubDate>
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    <description>The latest answers and comments added to the Question, sum with trigonometric coefficients</description>
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      <title>MaplePrimes - answers and comments on Question, sum with trigonometric coefficients</title>
      <link>http://www.mapleprimes.com/questions/142744-Sum-With-Trigonometric-Coefficients</link>
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      <title>You have got (-1) raised to the half odd</title>
      <link>http://www.mapleprimes.com/questions/142744-Sum-With-Trigonometric-Coefficients?ref=Feed:MaplePrimes:sum with trigonometric coefficients:Comments#answer142745</link>
      <itunes:summary>&lt;p&gt;You have got (-1) raised to the half odd integer powers in the sum, so the terms with I in front are inevitable. If you do not like those terms, change your sum or collect only the real terms to make the plot.&lt;/p&gt;</itunes:summary>
      <description>&lt;p&gt;You have got (-1) raised to the half odd integer powers in the sum, so the terms with I in front are inevitable. If you do not like those terms, change your sum or collect only the real terms to make the plot.&lt;/p&gt;</description>
      <guid>142745</guid>
      <pubDate>Mon, 28 Jan 2013 17:38:26 Z</pubDate>
      <itunes:author>lzhao</itunes:author>
      <author>lzhao</author>
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    <item>
      <title>Possible variant</title>
      <link>http://www.mapleprimes.com/questions/142744-Sum-With-Trigonometric-Coefficients?ref=Feed:MaplePrimes:sum with trigonometric coefficients:Comments#answer142773</link>
      <itunes:summary>&lt;p&gt;Numbers &lt;strong&gt;&amp;nbsp;(-1) ^ (1/2 )&amp;nbsp;&lt;/strong&gt;, &amp;nbsp;&lt;strong&gt;(-1) ^ (3/2)&lt;/strong&gt; &amp;nbsp;and so on - are some complex numbers. If you want them to have remained in that state, and not calculated to form &lt;strong&gt;&amp;nbsp;a+I*b&lt;/strong&gt;&amp;nbsp;(&lt;strong&gt;I&lt;/strong&gt; - complex unit), you can write like this&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;sum(-y2*y3+8*(-1)^``((k-1)*(1/2))*sinh(y2*Pi*k)*sin(k*Pi*y3)/(Pi^3*k^3*cosh((1/2)*k*Pi)), k = 1 .. 10);&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;&lt;img src="http://s005.radikal.ru/i211/1301/3f/0a6309e15565.jpg" alt="" width="640" height="243"&gt;&lt;/strong&gt;&lt;/p&gt;</itunes:summary>
      <description>&lt;p&gt;Numbers &lt;strong&gt;&amp;nbsp;(-1) ^ (1/2 )&amp;nbsp;&lt;/strong&gt;, &amp;nbsp;&lt;strong&gt;(-1) ^ (3/2)&lt;/strong&gt; &amp;nbsp;and so on - are some complex numbers. If you want them to have remained in that state, and not calculated to form &lt;strong&gt;&amp;nbsp;a+I*b&lt;/strong&gt;&amp;nbsp;(&lt;strong&gt;I&lt;/strong&gt; - complex unit), you can write like this&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;sum(-y2*y3+8*(-1)^``((k-1)*(1/2))*sinh(y2*Pi*k)*sin(k*Pi*y3)/(Pi^3*k^3*cosh((1/2)*k*Pi)), k = 1 .. 10);&lt;/strong&gt;&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;&lt;img src="http://s005.radikal.ru/i211/1301/3f/0a6309e15565.jpg" alt="" width="640" height="243"&gt;&lt;/strong&gt;&lt;/p&gt;</description>
      <guid>142773</guid>
      <pubDate>Tue, 29 Jan 2013 13:18:44 Z</pubDate>
      <itunes:author>Kitonum</itunes:author>
      <author>Kitonum</author>
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      <title>&amp;nbsp;
thank you</title>
      <link>http://www.mapleprimes.com/questions/142744-Sum-With-Trigonometric-Coefficients?ref=Feed:MaplePrimes:sum with trigonometric coefficients:Comments#answer142774</link>
      <itunes:summary>&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;thank you&lt;/p&gt;</itunes:summary>
      <description>&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;thank you&lt;/p&gt;</description>
      <guid>142774</guid>
      <pubDate>Tue, 29 Jan 2013 13:50:56 Z</pubDate>
      <itunes:author>SamuelTuvare</itunes:author>
      <author>SamuelTuvare</author>
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