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    <title>MaplePrimes - answers and comments on Question, A more accurate line equation</title>
    <link>http://www.mapleprimes.com/questions/123675-A-More-Accurate-Line-Equation</link>
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    <lastBuildDate>Wed, 10 Jun 2026 21:35:31 GMT</lastBuildDate>
    <pubDate>Wed, 10 Jun 2026 21:35:31 GMT</pubDate>
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    <description>The latest answers and comments added to the Question, A more accurate line equation</description>
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      <title>MaplePrimes - answers and comments on Question, A more accurate line equation</title>
      <link>http://www.mapleprimes.com/questions/123675-A-More-Accurate-Line-Equation</link>
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    <item>
      <title>A better fit</title>
      <link>http://www.mapleprimes.com/questions/123675-A-More-Accurate-Line-Equation?ref=Feed:MaplePrimes:A more accurate line equation:Comments#answer123678</link>
      <itunes:summary>&lt;p&gt;Increasing degree, we obtain a better fit:&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
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&lt;td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"&gt;(1)&lt;/td&gt;
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&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;img style="vertical-align: -27;" src="/view.aspx?sf=123678/416914/a08df4086158e7341ef220e33e63c8c5.gif" alt="" width="576" height="48" align="middle"&gt;&lt;/p&gt;
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&lt;td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"&gt;(2)&lt;/td&gt;
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&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;img style="vertical-align: -6;" src="/view.aspx?sf=123678/416914/5a4321bbeed8deaf5b156ec46729f5c0.gif" alt="" width="11" height="23"&gt;&lt;/p&gt;
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&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;&lt;a href="/view.aspx?sf=123678/416914/Fit2.mw"&gt;Download Fit2.mw&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;form name="worksheet_form"&gt;&lt;input type="hidden" name="sequence" value="1"&gt;&lt;/form&gt;</itunes:summary>
      <description>&lt;p&gt;Increasing degree, we obtain a better fit:&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
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&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;img style="vertical-align: -27;" src="/view.aspx?sf=123678/416914/cb2e0212d33c4d8921c1b2adbd2b122e.gif" alt="" width="576" height="48" align="middle"&gt;&lt;/p&gt;
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&lt;td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"&gt;(1)&lt;/td&gt;
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&lt;td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"&gt;(2)&lt;/td&gt;
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&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;&lt;a href="/view.aspx?sf=123678/416914/Fit2.mw"&gt;Download Fit2.mw&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;form name="worksheet_form"&gt;&lt;input type="hidden" name="sequence" value="1"&gt;&lt;/form&gt;</description>
      <guid>123678</guid>
      <pubDate>Fri, 08 Jul 2011 22:50:35 Z</pubDate>
      <itunes:author>Markiyan Hirnyk</itunes:author>
      <author>Markiyan Hirnyk</author>
    </item>
    <item>
      <title>Exponential fit</title>
      <link>http://www.mapleprimes.com/questions/123675-A-More-Accurate-Line-Equation?ref=Feed:MaplePrimes:A more accurate line equation:Comments#answer123681</link>
      <itunes:summary>&lt;p&gt;As Axel said, polynomials are probably the wrong class of functions.&amp;nbsp; I'll try constant + linear + exponential.&lt;br&gt;&lt;br&gt;&amp;gt; fit2:= Fit(a + b*x + c*exp(-d*x),X,Y,x,parameterranges=[d=0..0.1]);&lt;/p&gt;
&lt;p&gt;&lt;img class="math" src="http://www.mapleprimes.com/MapleImage.ashx?f=d5e25874afb11c450ecc985ad9fc5326.gif" alt="628.533114813603+.113596427586221*x-655.479174035531*exp(-.245278681774734e-2*x)"&gt;&lt;/p&gt;
&lt;p&gt;&lt;a href="/view.aspx?sf=123681/416935/expfit.jpg"&gt;&lt;img src="/view.aspx?sf=123681/416935/expfit.jpg" alt=""&gt;&lt;/a&gt;&lt;/p&gt;</itunes:summary>
      <description>&lt;p&gt;As Axel said, polynomials are probably the wrong class of functions.&amp;nbsp; I'll try constant + linear + exponential.&lt;br&gt;&lt;br&gt;&amp;gt; fit2:= Fit(a + b*x + c*exp(-d*x),X,Y,x,parameterranges=[d=0..0.1]);&lt;/p&gt;
&lt;p&gt;&lt;img class="math" src="http://www.mapleprimes.com/MapleImage.ashx?f=d5e25874afb11c450ecc985ad9fc5326.gif" alt="628.533114813603+.113596427586221*x-655.479174035531*exp(-.245278681774734e-2*x)"&gt;&lt;/p&gt;
&lt;p&gt;&lt;a href="/view.aspx?sf=123681/416935/expfit.jpg"&gt;&lt;img src="/view.aspx?sf=123681/416935/expfit.jpg" alt=""&gt;&lt;/a&gt;&lt;/p&gt;</description>
      <guid>123681</guid>
      <pubDate>Sat, 09 Jul 2011 02:13:44 Z</pubDate>
      <itunes:author>Robert Israel</itunes:author>
      <author>Robert Israel</author>
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    <item>
      <title>Thanks!</title>
      <link>http://www.mapleprimes.com/questions/123675-A-More-Accurate-Line-Equation?ref=Feed:MaplePrimes:A more accurate line equation:Comments#answer123696</link>
      <itunes:summary>&lt;p&gt;I have a lot of information to work with now.&lt;/p&gt;
&lt;p&gt;And I now see what to do.&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;Thank you all so much!!&lt;/p&gt;
&lt;p&gt;JP&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;</itunes:summary>
      <description>&lt;p&gt;I have a lot of information to work with now.&lt;/p&gt;
&lt;p&gt;And I now see what to do.&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;Thank you all so much!!&lt;/p&gt;
&lt;p&gt;JP&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;</description>
      <guid>123696</guid>
      <pubDate>Sat, 09 Jul 2011 21:23:40 Z</pubDate>
      <itunes:author>press9761</itunes:author>
      <author>press9761</author>
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      <title>hm ...</title>
      <link>http://www.mapleprimes.com/questions/123675-A-More-Accurate-Line-Equation?ref=Feed:MaplePrimes:A more accurate line equation:Comments#comment123680</link>
      <itunes:summary>&lt;p&gt;looking at it it seems data become linear in the large and thus doubt an polynomial would satisfy&lt;/p&gt;
&lt;p&gt;without knowing more, that probably is not a way for a 'solution'&lt;/p&gt;</itunes:summary>
      <description>&lt;p&gt;looking at it it seems data become linear in the large and thus doubt an polynomial would satisfy&lt;/p&gt;
&lt;p&gt;without knowing more, that probably is not a way for a 'solution'&lt;/p&gt;</description>
      <guid>123680</guid>
      <pubDate>Sat, 09 Jul 2011 00:46:37 Z</pubDate>
      <itunes:author>Axel Vogt</itunes:author>
      <author>Axel Vogt</author>
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      <title>Residualleastsquares</title>
      <link>http://www.mapleprimes.com/questions/123675-A-More-Accurate-Line-Equation?ref=Feed:MaplePrimes:A more accurate line equation:Comments#comment123683</link>
      <itunes:summary>&lt;p&gt;&amp;gt; fit3 := Fit(a+b*ADC+c*exp(-d*ADC), X, Y, ADC, parameterranges = [d = 0 .. .1], output = [residualsumofsquares, leastsquaresfunction]);&lt;br&gt;&lt;br&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; [1164.31223443563, 628.533114813602764 + 0.113596427586220516 ADC&lt;br&gt;&lt;br&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; - 655.479174035531400 exp(-0.00245278681774733576 ADC)]&lt;/p&gt;
&lt;p&gt;PS. Take look at&lt;/p&gt;
&lt;p&gt;&lt;br&gt; &lt;/p&gt;
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&lt;td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"&gt;(1)&lt;/td&gt;
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&lt;td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"&gt;(2)&lt;/td&gt;
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&lt;td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"&gt;&amp;nbsp;&lt;/td&gt;
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&lt;td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"&gt;(3)&lt;/td&gt;
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&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;img style="vertical-align: -6;" src="/view.aspx?sf=123683/416943/dc02b5927dc2f18e3ebe5427dd5be726.gif" alt="" width="417" height="23"&gt;&lt;/p&gt;
&lt;table&gt;
&lt;tbody&gt;
&lt;tr valign="baseline"&gt;
&lt;td&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"&gt;&lt;img style="vertical-align: -6;" src="/view.aspx?sf=123683/416943/282ed6bfa12f4bbd5f11c745f75969bf.gif" alt="" width="69" height="23"&gt;&lt;/p&gt;
&lt;/td&gt;
&lt;td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"&gt;(4)&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;img style="vertical-align: -6;" src="/view.aspx?sf=123683/416943/16238a75919bb458d4a73c819bc0ea93.gif" alt="" width="375" height="23"&gt;&lt;/p&gt;
&lt;table&gt;
&lt;tbody&gt;
&lt;tr valign="baseline"&gt;
&lt;td&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"&gt;&lt;a href="http://www.maplesoft.com/support/faqs/MapleNet/redirect.aspx?param=plot_java_14206"&gt;&lt;img style="border: none;" src="/view.aspx?sf=123683/416943/9b8311723d038ce36999908f7ba8d341.gif" alt="" width="400" height="400" align="middle"&gt;&lt;/a&gt;&lt;/p&gt;
&lt;/td&gt;
&lt;td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"&gt;&amp;nbsp;&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;img style="vertical-align: -6;" src="/view.aspx?sf=123683/416943/c27db484d44ea0e6cb1e7ea0bcce7a31.gif" alt="" width="11" height="23"&gt;&lt;/p&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;img style="vertical-align: -6;" src="/view.aspx?sf=123683/416943/1faeb6be7ca8ac9cf18a3a6866413a7f.gif" alt="" width="11" height="23"&gt;&lt;/p&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;input type="hidden" name="sequence" value="1"&gt;&lt;/form&gt;
&lt;p&gt;&lt;br&gt; &lt;/p&gt;
&lt;p&gt;&lt;a href="/view.aspx?sf=123683/416943/fit4.mw"&gt;Download fit4.mw&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;form name="worksheet_form"&gt;&lt;input type="hidden" name="sequence" value="1"&gt;&lt;/form&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;&lt;br&gt;&lt;br&gt;&lt;/p&gt;</itunes:summary>
      <description>&lt;p&gt;&amp;gt; fit3 := Fit(a+b*ADC+c*exp(-d*ADC), X, Y, ADC, parameterranges = [d = 0 .. .1], output = [residualsumofsquares, leastsquaresfunction]);&lt;br&gt;&lt;br&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; [1164.31223443563, 628.533114813602764 + 0.113596427586220516 ADC&lt;br&gt;&lt;br&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp; - 655.479174035531400 exp(-0.00245278681774733576 ADC)]&lt;/p&gt;
&lt;p&gt;PS. Take look at&lt;/p&gt;
&lt;p&gt;&lt;br&gt; &lt;/p&gt;
&lt;form name="worksheet_form"&gt;
&lt;table style="width: 576px;" align="center"&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;img style="vertical-align: -132;" src="/view.aspx?sf=123683/416943/5d1a5a8bf9926079cba8e2e8accf5c3b.gif" alt="" width="576" height="149" align="middle"&gt;&lt;/p&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;img style="vertical-align: -23;" src="/view.aspx?sf=123683/416943/56cfb1f82ad51574d21a232bac117dbe.gif" alt="" width="576" height="40" align="middle"&gt;&lt;/p&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;img style="vertical-align: -27;" src="/view.aspx?sf=123683/416943/104fa0e3fe841f85ee8f3cab71c3a107.gif" alt="" width="576" height="48" align="middle"&gt;&lt;/p&gt;
&lt;table&gt;
&lt;tbody&gt;
&lt;tr valign="baseline"&gt;
&lt;td&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"&gt;&lt;img style="vertical-align: -27;" src="/view.aspx?sf=123683/416943/d6e99c430214918f20f17aa9a07ea021.gif" alt="" width="546" height="48" align="middle"&gt;&lt;/p&gt;
&lt;/td&gt;
&lt;td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"&gt;(1)&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;img style="vertical-align: -6;" src="/view.aspx?sf=123683/416943/700b43666e329cbe2ea0918330216cc5.gif" alt="" width="321" height="23"&gt;&lt;/p&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;img style="vertical-align: -27;" src="/view.aspx?sf=123683/416943/489bb18fcab1940ac8be3d4a27c53fb2.gif" alt="" width="576" height="48" align="middle"&gt;&lt;/p&gt;
&lt;table&gt;
&lt;tbody&gt;
&lt;tr valign="baseline"&gt;
&lt;td&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"&gt;&lt;img style="vertical-align: -48;" src="/view.aspx?sf=123683/416943/de3f9986c9d6e2c7bfe665d7cf8fc2d9.gif" alt="" width="546" height="69" align="middle"&gt;&lt;/p&gt;
&lt;/td&gt;
&lt;td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"&gt;(2)&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;img style="vertical-align: -6;" src="/view.aspx?sf=123683/416943/ebaa619dcb1cfb125607a263acf89711.gif" alt="" width="332" height="23"&gt;&lt;/p&gt;
&lt;table&gt;
&lt;tbody&gt;
&lt;tr valign="baseline"&gt;
&lt;td&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"&gt;&lt;span style="color: #000000; font-size: 100%; font-family: Times New Roman,serif; font-weight: normal; font-style: normal;"&gt;&amp;nbsp; &lt;/span&gt;&lt;/p&gt;
&lt;/td&gt;
&lt;td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"&gt;&amp;nbsp;&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;img style="vertical-align: -23;" src="/view.aspx?sf=123683/416943/5326dda5e8fb80a43f3900e63523bb8b.gif" alt="" width="576" height="40" align="middle"&gt;&lt;/p&gt;
&lt;table&gt;
&lt;tbody&gt;
&lt;tr valign="baseline"&gt;
&lt;td&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"&gt;&lt;img style="vertical-align: -27;" src="/view.aspx?sf=123683/416943/fa1531f019e1471927da37ebbd9d6484.gif" alt="" width="546" height="48" align="middle"&gt;&lt;/p&gt;
&lt;/td&gt;
&lt;td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"&gt;(3)&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;img style="vertical-align: -6;" src="/view.aspx?sf=123683/416943/dc02b5927dc2f18e3ebe5427dd5be726.gif" alt="" width="417" height="23"&gt;&lt;/p&gt;
&lt;table&gt;
&lt;tbody&gt;
&lt;tr valign="baseline"&gt;
&lt;td&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"&gt;&lt;img style="vertical-align: -6;" src="/view.aspx?sf=123683/416943/282ed6bfa12f4bbd5f11c745f75969bf.gif" alt="" width="69" height="23"&gt;&lt;/p&gt;
&lt;/td&gt;
&lt;td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"&gt;(4)&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;img style="vertical-align: -6;" src="/view.aspx?sf=123683/416943/16238a75919bb458d4a73c819bc0ea93.gif" alt="" width="375" height="23"&gt;&lt;/p&gt;
&lt;table&gt;
&lt;tbody&gt;
&lt;tr valign="baseline"&gt;
&lt;td&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"&gt;&lt;a href="http://www.maplesoft.com/support/faqs/MapleNet/redirect.aspx?param=plot_java_14206"&gt;&lt;img style="border: none;" src="/view.aspx?sf=123683/416943/9b8311723d038ce36999908f7ba8d341.gif" alt="" width="400" height="400" align="middle"&gt;&lt;/a&gt;&lt;/p&gt;
&lt;/td&gt;
&lt;td style="color: #000000; font-family: Times, serif; font-weight: bold; font-style: normal;" align="right"&gt;&amp;nbsp;&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;img style="vertical-align: -6;" src="/view.aspx?sf=123683/416943/c27db484d44ea0e6cb1e7ea0bcce7a31.gif" alt="" width="11" height="23"&gt;&lt;/p&gt;
&lt;p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"&gt;&lt;img style="vertical-align: -6;" src="/view.aspx?sf=123683/416943/1faeb6be7ca8ac9cf18a3a6866413a7f.gif" alt="" width="11" height="23"&gt;&lt;/p&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;input type="hidden" name="sequence" value="1"&gt;&lt;/form&gt;
&lt;p&gt;&lt;br&gt; &lt;/p&gt;
&lt;p&gt;&lt;a href="/view.aspx?sf=123683/416943/fit4.mw"&gt;Download fit4.mw&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;form name="worksheet_form"&gt;&lt;input type="hidden" name="sequence" value="1"&gt;&lt;/form&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;&lt;br&gt;&lt;br&gt;&lt;/p&gt;</description>
      <guid>123683</guid>
      <pubDate>Sat, 09 Jul 2011 07:51:54 Z</pubDate>
      <itunes:author>Markiyan Hirnyk</itunes:author>
      <author>Markiyan Hirnyk</author>
    </item>
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