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      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
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        <e type="operand">float</e>
        <e type="operand">40</e>
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      <result action="numeric">
        <e type="operand">3.14159265358979</e>
        <e type="operand">10</e>
        <e type="operand">14</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operand">10</e>
        <e type="operand">14</e>
        <e type="operator" args="2">^</e>
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      <input>
        <e type="operand">Thiele</e>
        <e type="operand">1</e>
        <e type="operand">10</e>
        <e type="operand">12</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1.0475</e>
        <e type="operand">0.25</e>
        <e type="operand">0.4536</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.5</e>
        <e type="operand">1.2879</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.75</e>
        <e type="operand">5.8979</e>
        <e type="operand">1</e>
        <e type="operand">0.2575</e>
        <e type="operand">1.5</e>
        <e type="operand">108.4294</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operand">0.0102</e>
        <e type="operator" args="1">-</e>
        <e type="operand">3</e>
        <e type="operand">431.1187</e>
        <e type="operator" args="1">-</e>
        <e type="operand">4</e>
        <e type="operand">0.0041</e>
        <e type="operator" args="1">-</e>
        <e type="operand">6</e>
        <e type="operand">1343.1271</e>
        <e type="operator" args="1">-</e>
        <e type="operand">10</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="22">mat</e>
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      <input>
        <e type="operand">K</e>
        <e type="operand">Thiele</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
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    <math fractionType="none">
      <input>
        <e type="operand">vx</e>
        <e type="operand">Thiele</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="operator" args="2">:</e>
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    <math fractionType="none">
      <description active="true" position="Top" lang="eng">
        <p>Thiele Mathcad11/Maple symbolic of "Cf(x)"</p>
      </description>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">Cf</e>
        <e type="operand">K</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</e>
        <e type="operand">vx</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">-</e>
        <e type="operand">K</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</e>
        <e type="operand">vx</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">-</e>
        <e type="operand">K</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</e>
        <e type="operand">vx</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">-</e>
        <e type="operand">K</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</e>
        <e type="operand">vx</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">-</e>
        <e type="operand">K</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</e>
        <e type="operand">vx</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">-</e>
        <e type="operand">K</e>
        <e type="operand">6</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</e>
        <e type="operand">vx</e>
        <e type="operand">6</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">-</e>
        <e type="operand">K</e>
        <e type="operand">7</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="8" left="18" top="576" width="365" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Expand symbolic Cf(x), collect coefficientsrecast  in J(β,x)for export.</p>
    </text>
  </region>
  <region id="9" left="18" top="621" width="2109" height="149" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math>
      <input>
        <e type="operand">β</e>
        <e type="operand">x</e>
        <e type="function" args="2">J</e>
        <e type="operand">x</e>
        <e type="function" args="1">Cf</e>
        <e type="operand">confrac</e>
        <e type="operand">x</e>
        <e type="function" args="3">convert</e>
        <e type="function" preserve="true" args="1">maple</e>
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      <result action="none">
        <e type="operand">69</e>
        <e type="operand">10000</e>
        <e type="operator" args="2">/</e>
        <e type="operand">308317849089797</e>
        <e type="operand">5000000000000000</e>
        <e type="operator" args="2">/</e>
        <e type="operand">x</e>
        <e type="operand">349564292711729731259819</e>
        <e type="operand">61663569817959400000000</e>
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        <e type="operand">152095833707774138850191201934400000000000000</e>
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        <e type="operand">3884242410686621984633524407594160457479232708321748865746456809793</e>
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        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operand">13091907671595428932941432363215387719184849382354120733512972026900425140779145614526545142159</e>
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        <e type="operand">x</e>
        <e type="operand">118803865885992630123789058232268333642246684585229</e>
        <e type="operand">329980698145509706228956697952530724872876765000000</e>
        <e type="operator" args="2">/</e>
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        <e type="bracket">(</e>
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        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">-</e>
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    <text lang="eng">
      <p>I found no way to express the long fraction coefficientsin visible decimal coefficients. The J_Fraction is a formal algorithm in computing machinery [a bit monkeybuiness of coding]. The rule of indexing the coefficientsis also "formal". We can only collect manually coeffcientscollect in vector, that we further transit in the decimalplaces of your choice for export.</p>
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        <e type="operand">β</e>
        <e type="operand">69</e>
        <e type="operand">10000</e>
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        <e type="operand">349564292711729731259819</e>
        <e type="operand">61663569817959400000000</e>
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        <e type="operand">3884242410686621984633524407594160457479232708321748865746456809793</e>
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        <e type="operand">308317849089797</e>
        <e type="operand">5000000000000000</e>
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        <e type="operand">4157756796633422298484854394201887133398247239</e>
        <e type="operand">152095833707774138850191201934400000000000000</e>
        <e type="operator" args="2">/</e>
        <e type="operand">13091907671595428932941432363215387719184849382354120733512972026900425140779145614526545142159</e>
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        <e type="operator" args="2">/</e>
        <e type="operand">7</e>
        <e type="operand">1</e>
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      </input>
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    <math decimalPlaces="5">
      <input>
        <e type="operand">β</e>
      </input>
      <result action="numeric">
        <e type="operand">0.0069</e>
        <e type="operand">5.66889</e>
        <e type="operand">4.77232</e>
        <e type="operand">0.36003</e>
        <e type="operand">0.06166</e>
        <e type="operand">27.33643</e>
        <e type="operand">7.69495</e>
        <e type="operand">10</e>
        <e type="operand">6</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">7</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="9">mat</e>
      </result>
    </math>
  </region>
  <region id="14" left="351" top="1233" width="147" height="143" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">β</e>
        <e type="operand">0.0069</e>
        <e type="operand">5.66889</e>
        <e type="operand">4.77232</e>
        <e type="operand">0.36003</e>
        <e type="operand">0.06166</e>
        <e type="operand">27.33643</e>
        <e type="operand">7.69495</e>
        <e type="operand">10</e>
        <e type="operand">6</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">7</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="9">mat</e>
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      </input>
    </math>
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  <region id="15" left="171" top="1287" width="164" height="31" color="#000000" bgColor="#80ffff" fontSize="14">
    <text lang="eng">
      <p bold="true">=&gt; Transit =&gt;</p>
    </text>
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        <e type="operand">V</e>
        <e type="operand">n</e>
        <e type="function" args="2">Vround</e>
        <e type="operand" style="string">NOT prefered here</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operand">V</e>
        <e type="function" preserve="true" args="1">rows</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">m</e>
        <e type="operand">i</e>
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        <e type="operand">V</e>
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        <e type="operand">m</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">line</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="17" left="18" top="1503" width="313" height="113" border="true" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math>
      <description active="true" position="Top" lang="eng">
        <p>Desired  =&gt; visible and exportable </p>
      </description>
      <input>
        <e type="operand">β</e>
        <e type="operand">x</e>
        <e type="function" args="2">J</e>
        <e type="operand">β</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">β</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</e>
        <e type="operand">β</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">+</e>
        <e type="operand">β</e>
        <e type="operand">6</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</e>
        <e type="operand">β</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operand">β</e>
        <e type="operand">7</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</e>
        <e type="operand">β</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="18" left="369" top="1512" width="237" height="127" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math>
      <input>
        <e type="operand" style="string">clear useless bracketing</e>
        <e type="operand">β</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">β</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</e>
        <e type="operand">β</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">+</e>
        <e type="operand">β</e>
        <e type="operand">6</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</e>
        <e type="operand">β</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">-</e>
        <e type="operand">β</e>
        <e type="operand">7</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</e>
        <e type="operand">β</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">-</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">line</e>
      </input>
    </math>
  </region>
</regions>