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          <e type="operator" args="2">:</e>
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      <math>
        <input>
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        <e type="function" preserve="true" args="2">augment</e>
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        <e type="function" preserve="true" args="2">augment</e>
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        <e type="operand">plot</e>
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        <e type="operand">plot</e>
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        <e type="operand">plot</e>
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        <e type="operand">M</e>
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        <e type="operand">M</e>
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        <e type="operand">Mollier</e>
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        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">mat</e>
      </result>
    </math>
  </region>
  <region id="36" left="351" top="1611" width="379" height="45" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="3">
      <description active="true" position="Right" lang="eng">
        <p>rowcol</p>
      </description>
      <input>
        <e type="operand">Mollier</e>
        <e type="operand">Mollier</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="function" preserve="true" args="1">Max</e>
        <e type="function" args="2">FindIndex</e>
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      <result action="numeric">
        <e type="operand">62</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
      </result>
    </math>
  </region>
  <region id="37" left="360" top="1665" width="62" height="117" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">2</e>
        <e type="operand">58</e>
        <e type="operand">7</e>
        <e type="operand">66</e>
        <e type="operand">8</e>
        <e type="operand">65</e>
        <e type="operand">9</e>
        <e type="operand">64</e>
        <e type="operand">10</e>
        <e type="operand">62</e>
        <e type="operand">11</e>
        <e type="operand">60</e>
        <e type="operand">6</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="14">mat</e>
      </input>
    </math>
  </region>
  <region id="38" left="423" top="1665" width="326" height="117" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Mollier</e>
        <e type="operand">67</e>
        <e type="operand">62</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="function" preserve="true" args="3">el</e>
      </input>
      <result action="numeric">
        <e type="operand">366.59</e>
        <e type="operand">4990</e>
        <e type="operand">379.74</e>
        <e type="operand">4882</e>
        <e type="operand">387.46</e>
        <e type="operand">4441.6</e>
        <e type="operand">390.186</e>
        <e type="operand">4036.8</e>
        <e type="operand">391.3</e>
        <e type="operand">3662.7</e>
        <e type="operand">391.508</e>
        <e type="operand">3316.8</e>
        <e type="operand">6</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="14">mat</e>
      </result>
    </math>
  </region>
  <region id="39" left="9" top="1800" width="159" height="189" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">M2</e>
        <e type="operand">366.59</e>
        <e type="operand">4990</e>
        <e type="operand">387.46</e>
        <e type="operand">4882</e>
        <e type="operand">401.33</e>
        <e type="operand">4441.6</e>
        <e type="operand">407.72</e>
        <e type="operand">4036.8</e>
        <e type="operand">411.6</e>
        <e type="operand">3662.7</e>
        <e type="operand">414.09</e>
        <e type="operand">3316.8</e>
        <e type="operand">415.69</e>
        <e type="operand">2996.7</e>
        <e type="operand">416.65</e>
        <e type="operand">2700.8</e>
        <e type="operand">417.14</e>
        <e type="operand">2427.4</e>
        <e type="operand">417.24</e>
        <e type="operand">2175.3</e>
        <e type="operand">10</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="22">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="40" left="171" top="1809" width="177" height="171" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">M11</e>
        <e type="operand">366.59</e>
        <e type="operand">4990</e>
        <e type="operand">375.1</e>
        <e type="operand">4936</e>
        <e type="operand">389</e>
        <e type="operand">4661.8</e>
        <e type="operand">396.67</e>
        <e type="operand">4239.2</e>
        <e type="operand">400.2</e>
        <e type="operand">3849.75</e>
        <e type="operand">402.12</e>
        <e type="operand">3489.75</e>
        <e type="operand">403.1</e>
        <e type="operand">3156.75</e>
        <e type="operand">403.45</e>
        <e type="operand">2848.75</e>
        <e type="operand">403.49</e>
        <e type="operand">2700.8</e>
        <e type="operand">9</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="20">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="41" left="540" top="1809" width="168" height="81" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">M9</e>
        <e type="operand">366.59</e>
        <e type="operand">4990</e>
        <e type="operand">375.88</e>
        <e type="operand">4882</e>
        <e type="operand">380.525</e>
        <e type="operand">4441.6</e>
        <e type="operand">381.419</e>
        <e type="operand">4036.8</e>
        <e type="operand">4</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="10">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="42" left="351" top="1818" width="177" height="117" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">M10</e>
        <e type="operand">366.59</e>
        <e type="operand">4990</e>
        <e type="operand">379.74</e>
        <e type="operand">4882</e>
        <e type="operand">387.46</e>
        <e type="operand">4441.6</e>
        <e type="operand">390.186</e>
        <e type="operand">4036.8</e>
        <e type="operand">391.3</e>
        <e type="operand">3662.7</e>
        <e type="operand">391.508</e>
        <e type="operand">3316.8</e>
        <e type="operand">6</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="14">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="43" left="540" top="1890" width="159" height="63" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">M8</e>
        <e type="operand">366.59</e>
        <e type="operand">4990</e>
        <e type="operand">372.02</e>
        <e type="operand">4882</e>
        <e type="operand">373.59</e>
        <e type="operand">4441.6</e>
        <e type="operand">3</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="8">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="44" left="432" top="1998" width="48" height="31" color="#000000" bgColor="#80ffff" fontSize="14">
    <text lang="eng">
      <p bold="true">sub</p>
    </text>
  </region>
  <region id="45" left="666" top="1998" width="25" height="31" color="#000000" bgColor="#80ffff" fontSize="14">
    <text lang="eng">
      <p bold="true">M</p>
    </text>
  </region>
  <region id="46" left="135" top="2034" width="279" height="189" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">sub2</e>
        <e type="operand">plot</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">1</e>
        <e type="operand">58</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="function" preserve="true" args="1">eval</e>
        <e type="operator" args="2">:</e>
        <e type="operand">sub8</e>
        <e type="operand">plot</e>
        <e type="operand">8</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">1</e>
        <e type="operand">65</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="function" preserve="true" args="1">eval</e>
        <e type="operator" args="2">:</e>
        <e type="operand">sub9</e>
        <e type="operand">plot</e>
        <e type="operand">9</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">1</e>
        <e type="operand">64</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="function" preserve="true" args="1">eval</e>
        <e type="operator" args="2">:</e>
        <e type="operand">sub10</e>
        <e type="operand">plot</e>
        <e type="operand">10</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">1</e>
        <e type="operand">62</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="function" preserve="true" args="1">eval</e>
        <e type="operator" args="2">:</e>
        <e type="operand">sub11</e>
        <e type="operand">plot</e>
        <e type="operand">11</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">1</e>
        <e type="operand">60</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="function" preserve="true" args="1">eval</e>
        <e type="operator" args="2">:</e>
        <e type="operand">5</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="7">sys</e>
      </input>
    </math>
  </region>
  <region id="47" left="423" top="2043" width="128" height="27" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">358.93</e>
        <e type="operand">417.24</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">mat</e>
      </input>
    </math>
  </region>
  <region id="48" left="621" top="2043" width="128" height="27" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">366.59</e>
        <e type="operand">417.24</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">mat</e>
      </input>
    </math>
  </region>
  <region id="49" left="45" top="2061" width="62" height="117" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">2</e>
        <e type="operand">58</e>
        <e type="operand">7</e>
        <e type="operand">66</e>
        <e type="operand">8</e>
        <e type="operand">65</e>
        <e type="operand">9</e>
        <e type="operand">64</e>
        <e type="operand">10</e>
        <e type="operand">62</e>
        <e type="operand">11</e>
        <e type="operand">60</e>
        <e type="operand">6</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="14">mat</e>
      </input>
    </math>
  </region>
  <region id="50" left="423" top="2079" width="137" height="27" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">251.454</e>
        <e type="operand">373.59</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">mat</e>
      </input>
    </math>
  </region>
  <region id="51" left="621" top="2079" width="128" height="27" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">366.59</e>
        <e type="operand">373.59</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">mat</e>
      </input>
    </math>
  </region>
  <region id="52" left="423" top="2115" width="146" height="27" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">278.323</e>
        <e type="operand">381.419</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">mat</e>
      </input>
    </math>
  </region>
  <region id="53" left="621" top="2115" width="137" height="27" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">366.59</e>
        <e type="operand">381.419</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">mat</e>
      </input>
    </math>
  </region>
  <region id="54" left="423" top="2151" width="146" height="27" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">305.192</e>
        <e type="operand">391.508</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">mat</e>
      </input>
    </math>
  </region>
  <region id="55" left="621" top="2151" width="137" height="27" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">366.59</e>
        <e type="operand">391.508</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">mat</e>
      </input>
    </math>
  </region>
  <region id="56" left="423" top="2187" width="146" height="27" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">332.061</e>
        <e type="operand">403.491</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">mat</e>
      </input>
    </math>
  </region>
  <region id="57" left="621" top="2187" width="128" height="27" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">366.59</e>
        <e type="operand">403.49</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">mat</e>
      </input>
    </math>
  </region>
  <region id="58" top="2232" color="#000000" bgColor="#ffffff">
    <area collapsed="true">
      <title lang="eng">
        <p>     sub, m     </p>
      </title>
    </area>
    <region id="59" left="90" top="2268" width="399" height="131" color="#000000" bgColor="#ffffff" fontSize="10">
      <math optimize="2">
        <input>
          <e type="operand">x</e>
          <e type="function" args="1">s11</e>
          <e type="operand">sub11</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="2">col</e>
          <e type="operand">sub11</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="2">col</e>
          <e type="operand">x</e>
          <e type="function" preserve="true" args="3">cinterp</e>
          <e type="operator" args="2">:</e>
          <e type="operand">x</e>
          <e type="function" args="1">s11_</e>
          <e type="operand">M11</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="2">col</e>
          <e type="operand">M11</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="2">col</e>
          <e type="operand">x</e>
          <e type="function" preserve="true" args="3">cinterp</e>
          <e type="operator" args="2">:</e>
          <e type="operand">x</e>
          <e type="function" args="1">c11</e>
          <e type="operand">1</e>
          <e type="operand">332.061</e>
          <e type="operand">x</e>
          <e type="operator" args="2">≤</e>
          <e type="bracket">(</e>
          <e type="operand">x</e>
          <e type="operand">403.491</e>
          <e type="operator" args="2">≤</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">&amp;</e>
          <e type="operand" style="string" />
          <e type="function" preserve="true" args="3">cases</e>
          <e type="operator" args="2">:</e>
          <e type="operand">x</e>
          <e type="function" args="1">c11_</e>
          <e type="operand">1</e>
          <e type="operand">366.59</e>
          <e type="operand">x</e>
          <e type="operator" args="2">≤</e>
          <e type="bracket">(</e>
          <e type="operand">x</e>
          <e type="operand">403.49</e>
          <e type="operator" args="2">≤</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">&amp;</e>
          <e type="operand" style="string" />
          <e type="function" preserve="true" args="3">cases</e>
          <e type="operator" args="2">:</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="6">sys</e>
        </input>
      </math>
    </region>
    <region id="60" left="90" top="2412" width="374" height="131" color="#000000" bgColor="#ffffff" fontSize="10">
      <math optimize="2">
        <input>
          <e type="operand">x</e>
          <e type="function" args="1">s2</e>
          <e type="operand">sub2</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="2">col</e>
          <e type="operand">sub2</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="2">col</e>
          <e type="operand">x</e>
          <e type="function" preserve="true" args="3">cinterp</e>
          <e type="operator" args="2">:</e>
          <e type="operand">x</e>
          <e type="function" args="1">s2_</e>
          <e type="operand">M2</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="2">col</e>
          <e type="operand">M2</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="2">col</e>
          <e type="operand">x</e>
          <e type="function" preserve="true" args="3">cinterp</e>
          <e type="operator" args="2">:</e>
          <e type="operand">x</e>
          <e type="function" args="1">c2</e>
          <e type="operand">1</e>
          <e type="operand">358.93</e>
          <e type="operand">x</e>
          <e type="operator" args="2">≤</e>
          <e type="bracket">(</e>
          <e type="operand">x</e>
          <e type="operand">417.24</e>
          <e type="operator" args="2">≤</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">&amp;</e>
          <e type="operand" style="string" />
          <e type="function" preserve="true" args="3">cases</e>
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          <e type="operand">x</e>
          <e type="function" args="1">c2_</e>
          <e type="operand">1</e>
          <e type="operand">366.59</e>
          <e type="operand">x</e>
          <e type="operator" args="2">≤</e>
          <e type="bracket">(</e>
          <e type="operand">x</e>
          <e type="operand">417.24</e>
          <e type="operator" args="2">≤</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">&amp;</e>
          <e type="operand" style="string" />
          <e type="function" preserve="true" args="3">cases</e>
          <e type="operator" args="2">:</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="6">sys</e>
        </input>
      </math>
    </region>
    <region id="61" left="90" top="2556" width="399" height="131" color="#000000" bgColor="#ffffff" fontSize="10">
      <math optimize="2">
        <input>
          <e type="operand">x</e>
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      <title lang="eng">
        <p>     p1, p7, p3, p4, p5, p6     </p>
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      <p bold="true">M8, M9, M10 do NOT cinterp ... ?</p>
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    <plot type="2d" render="lines" scale_x="0.00432183727875156" scale_y="0.0974595652936233" scale_z="0.01019066623231" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-208" transpose_y="-113" transpose_z="0">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">s10</e>
        <e type="operand">x</e>
        <e type="function" args="1">c10</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="function" args="1">s10_</e>
        <e type="operand">x</e>
        <e type="function" args="1">c10_</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="function" args="1">s9</e>
        <e type="operand">x</e>
        <e type="function" args="1">c9</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="function" args="1">s9_</e>
        <e type="operand">x</e>
        <e type="function" args="1">c9_</e>
        <e type="operator" args="2">*</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">sys</e>
      </input>
    </plot>
  </region>
  <region id="83" top="4167" color="#000000" bgColor="#ffffff">
    <area collapsed="true">
      <title lang="eng">
        <p>     plotG     Hatch     </p>
      </title>
    </area>
    <region id="84" left="27" top="4194" width="679" height="121" color="#000000" bgColor="#ebebeb" fontSize="10">
      <math>
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          <e type="operand">vy</e>
          <e type="operand">chr</e>
          <e type="operand">sz</e>
          <e type="operand">clr</e>
          <e type="function" args="5">plotG</e>
          <e type="operand">n</e>
          <e type="operand">vx</e>
          <e type="function" preserve="true" args="1">length</e>
          <e type="operator" args="2">:</e>
          <e type="operand">plot</e>
          <e type="operand">vx</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">vy</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">chr</e>
          <e type="operand">sz</e>
          <e type="operand">clr</e>
          <e type="function" preserve="true" args="5">augment</e>
          <e type="operator" args="2">:</e>
          <e type="operand">i</e>
          <e type="operand">2</e>
          <e type="operand">n</e>
          <e type="function" preserve="true" args="2">range</e>
          <e type="operand">plot</e>
          <e type="operand">plot</e>
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          <e type="operand">i</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">vy</e>
          <e type="operand">i</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">chr</e>
          <e type="operand">sz</e>
          <e type="operand">clr</e>
          <e type="function" preserve="true" args="5">augment</e>
          <e type="function" preserve="true" args="2">stack</e>
          <e type="operator" args="2">:</e>
          <e type="function" preserve="true" args="3">for</e>
          <e type="operand">plot</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="6">line</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="85" left="27" top="4320" width="473" height="274" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <description active="true" position="Top" lang="ger">
          <p>Erzeugt eine Matrix für die Darstellung vertikaler Linien zwischen den Funktionen f(x) und g(x) im Bereich von x1 bis x2 mit 2*n Linien.</p>
        </description>
        <description active="true" position="Top" lang="eng">
          <p>Generates a matrix for 2*N vertical lines (hatching) between functions f(x) and g(x) in x-range from x1 to x2</p>
        </description>
        <input>
          <e type="operand">f1</e>
          <e type="operand">g1</e>
          <e type="operand">x.1</e>
          <e type="operand">x.2</e>
          <e type="operand">N</e>
          <e type="function" args="5">hatch</e>
          <e type="operand">dx</e>
          <e type="operand">x.2</e>
          <e type="operand">x.1</e>
          <e type="operator" args="2">-</e>
          <e type="operand">N</e>
          <e type="operator" args="2">/</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">:</e>
          <e type="operand">h</e>
          <e type="operand">x.1</e>
          <e type="operand">x.1</e>
          <e type="function" args="1">f1</e>
          <e type="operand">x.1</e>
          <e type="operand">x.1</e>
          <e type="function" args="1">g1</e>
          <e type="operand">2</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="6">mat</e>
          <e type="operator" args="2">:</e>
          <e type="operand">x</e>
          <e type="operand">x.1</e>
          <e type="operand">x.2</e>
          <e type="operand">dx</e>
          <e type="operator" args="2">-</e>
          <e type="operand">x.1</e>
          <e type="operand">dx</e>
          <e type="operator" args="2">+</e>
          <e type="function" preserve="true" args="3">range</e>
          <e type="operand">h</e>
          <e type="operand">h</e>
          <e type="operand">x</e>
          <e type="operand">dx</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="operand">x</e>
          <e type="operand">dx</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="function" args="1">g1</e>
          <e type="operand">x</e>
          <e type="operand">dx</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="operand">x</e>
          <e type="operand">dx</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="function" args="1">f1</e>
          <e type="operand">x</e>
          <e type="operand">dx</e>
          <e type="operator" args="2">+</e>
          <e type="operand">x</e>
          <e type="operand">dx</e>
          <e type="operator" args="2">+</e>
          <e type="function" args="1">f1</e>
          <e type="operand">x</e>
          <e type="operand">dx</e>
          <e type="operator" args="2">+</e>
          <e type="operand">x</e>
          <e type="operand">dx</e>
          <e type="operator" args="2">+</e>
          <e type="function" args="1">g1</e>
          <e type="operand">4</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="10">mat</e>
          <e type="function" preserve="true" args="2">stack</e>
          <e type="operator" args="2">:</e>
          <e type="function" preserve="true" args="3">for</e>
          <e type="operand">h</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="6">line</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="86" top="4653" color="#000000" bgColor="#ffffff">
      <area terminator="true" />
    </region>
  </region>
  <region id="87" left="27" top="4689" width="303" height="31" color="#000000" bgColor="#80ffff" fontSize="14">
    <text lang="eng">
      <p bold="true">Quadratic spline 4 points</p>
    </text>
  </region>
  <region id="88" left="27" top="4725" width="676" height="56" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>This Smath document implements the "Quadratic spline", the basis construction.Once the basis 'D' vector in hand, some supplementary fabrication may be applied.QuadSpline supports the numerical integrator(s) and 'hatch', piecewise.</p>
    </text>
  </region>
  <region id="89" left="27" top="4788" width="168" height="81" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">M9</e>
        <e type="operand">366.59</e>
        <e type="operand">4990</e>
        <e type="operand">375.88</e>
        <e type="operand">4882</e>
        <e type="operand">380.525</e>
        <e type="operand">4441.6</e>
        <e type="operand">381.419</e>
        <e type="operand">4036.8</e>
        <e type="operand">4</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="10">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="90" left="27" top="4887" width="230" height="29" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">X</e>
        <e type="operand">M9</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="operator" args="2">:</e>
        <e type="operand">Y</e>
        <e type="operand">M9</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="operator" args="2">:</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">mat</e>
      </input>
    </math>
  </region>
  <region id="91" left="441" top="4887" width="292" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="6">
      <input>
        <e type="operand">data</e>
        <e type="operand">X</e>
        <e type="operand">Y</e>
        <e type="operand" style="string">.</e>
        <e type="operand">14</e>
        <e type="operand" style="string">black</e>
        <e type="function" args="5">plotG</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="92" left="27" top="4923" width="237" height="106" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">D</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">0</e>
        <e type="operator" args="2">:</e>
        <e type="operand">i</e>
        <e type="operand">2</e>
        <e type="operand">X</e>
        <e type="function" preserve="true" args="1">rows</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">D</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">2</e>
        <e type="operand">Y</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">Y</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">-</e>
        <e type="operand">X</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="2">el</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="operand">D</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">line</e>
      </input>
    </math>
  </region>
  <region id="93" left="297" top="4941" width="130" height="81" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">D</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
        <e type="operand">23.2508</e>
        <e type="operator" args="1">-</e>
        <e type="operand">166.3724</e>
        <e type="operator" args="1">-</e>
        <e type="operand">739.2204</e>
        <e type="operator" args="1">-</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">mat</e>
      </result>
    </math>
  </region>
  <region id="94" left="441" top="4941" width="318" height="81" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">data</e>
      </input>
      <result action="numeric">
        <e type="operand">366.59</e>
        <e type="operand">4990</e>
        <e type="operand" style="string">.</e>
        <e type="operand">14</e>
        <e type="operand" style="string">black</e>
        <e type="operand">375.88</e>
        <e type="operand">4882</e>
        <e type="operand" style="string">.</e>
        <e type="operand">14</e>
        <e type="operand" style="string">black</e>
        <e type="operand">380.525</e>
        <e type="operand">4441.6</e>
        <e type="operand" style="string">.</e>
        <e type="operand">14</e>
        <e type="operand" style="string">black</e>
        <e type="operand">381.419</e>
        <e type="operand">4036.8</e>
        <e type="operand" style="string">.</e>
        <e type="operand">14</e>
        <e type="operand" style="string">black</e>
        <e type="operand">4</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="22">mat</e>
      </result>
    </math>
  </region>
  <region id="95" left="27" top="5031" width="537" height="91" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">j</e>
        <e type="operand">x</e>
        <e type="function" args="2">Q</e>
        <e type="operand">i</e>
        <e type="operand">j</e>
        <e type="operator" args="2">:</e>
        <e type="operand">D</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operand">x</e>
        <e type="operand">X</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">X</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</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="operand">D</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">2</e>
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        <e type="operand">x</e>
        <e type="operand">X</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
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        <e type="operator" args="2">^</e>
        <e type="operand">X</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X</e>
        <e type="operand">i</e>
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        <e type="operator" args="2">-</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="operator" args="2">-</e>
        <e type="operand">Y</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">+</e>
        <e type="operand">D</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operand">X</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</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="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">line</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="96" left="27" top="5121" width="235" height="204" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2" decimalPlaces="6">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">m9</e>
        <e type="operand">X</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</e>
        <e type="operator" args="2">≤</e>
        <e type="bracket">(</e>
        <e type="operand">x</e>
        <e type="operand">X</e>
        <e type="operand">2</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">&amp;</e>
        <e type="operand">2</e>
        <e type="operand">x</e>
        <e type="function" args="2">Q</e>
        <e type="operand">X</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</e>
        <e type="operator" args="2">≤</e>
        <e type="bracket">(</e>
        <e type="operand">x</e>
        <e type="operand">X</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>
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        <e type="function" args="2">Q</e>
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        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</e>
        <e type="operator" args="2">≤</e>
        <e type="bracket">(</e>
        <e type="operand">x</e>
        <e type="operand">X</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">&amp;</e>
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        <e type="operand" style="string" />
        <e type="function" preserve="true" args="3">if</e>
        <e type="function" preserve="true" args="3">if</e>
        <e type="function" preserve="true" args="3">if</e>
        <e type="operator" args="2">:</e>
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    </math>
  </region>
  <region id="97" left="270" top="5121" width="240" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="0.0059284461985618" scale_y="0.675502027642918" scale_z="0.00400467742790046" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-2344" transpose_y="-247" transpose_z="0">
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        <e type="function" args="1">m9</e>
        <e type="operand">X</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">Y</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand" style="string">.</e>
        <e type="operand">14</e>
        <e type="operand" style="string">black</e>
        <e type="operand">X</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">Y</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand" style="string">.</e>
        <e type="operand">14</e>
        <e type="operand" style="string">black</e>
        <e type="operand">X</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">Y</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand" style="string">.</e>
        <e type="operand">14</e>
        <e type="operand" style="string">black</e>
        <e type="operand">X</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">Y</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand" style="string">.</e>
        <e type="operand">14</e>
        <e type="operand" style="string">black</e>
        <e type="operand">4</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="22">mat</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
      </input>
    </plot>
  </region>
  <region id="98" left="513" top="5121" width="194" height="75" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">L</e>
        <e type="operand">X</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">:</e>
        <e type="operand">H</e>
        <e type="operand">X</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">:</e>
        <e type="operand">N</e>
        <e type="operand">1000</e>
        <e type="operator" args="2">:</e>
        <e type="operand">1</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="5">mat</e>
        <e type="operand">x9</e>
        <e type="operand">L</e>
        <e type="operand">H</e>
        <e type="operand">L</e>
        <e type="operand">H</e>
        <e type="operand">L</e>
        <e type="operator" args="2">-</e>
        <e type="operand">N</e>
        <e type="operator" args="2">/</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="3">range</e>
        <e type="operator" args="2">:</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
      </input>
    </math>
  </region>
  <region id="99" left="513" top="5193" width="189" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">p9</e>
        <e type="operand">x9</e>
        <e type="operand">x9</e>
        <e type="function" args="1">m9</e>
        <e type="function" preserve="true" args="1">vectorize</e>
        <e type="function" preserve="true" args="2">augment</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="100" left="513" top="5229" width="231" height="36" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">p9</e>
        <e type="operand">p9</e>
        <e type="operand">1</e>
        <e type="operand">p9</e>
        <e type="function" preserve="true" args="1">rows</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="101" left="513" top="5265" width="240" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="0.00242774385636674" scale_y="0.16014652025409" scale_z="0.000388794730665379" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-568" transpose_y="-80" transpose_z="0">
      <input>
        <e type="operand">p9</e>
      </input>
    </plot>
  </region>
  <region id="102" left="1098" top="5445" width="358" height="51" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">p9</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">row</e>
        <e type="operand">p9</e>
        <e type="operand">p9</e>
        <e type="function" preserve="true" args="1">rows</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="2">row</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
      </input>
      <result action="numeric">
        <e type="operand">366.59</e>
        <e type="operand">4990</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">mat</e>
        <e type="operand">381.3893</e>
        <e type="operand">4058.442</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">mat</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
      </result>
    </math>
  </region>
  <region id="103" left="9" top="5481" width="186" height="267" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">plot</e>
        <e type="operand">x</e>
        <e type="function" args="1">p1</e>
        <e type="operand">x</e>
        <e type="function" args="1">cp1</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="function" args="1">p2</e>
        <e type="operand">x</e>
        <e type="function" args="1">cp2</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="function" args="1">p3</e>
        <e type="operand">x</e>
        <e type="function" args="1">cp3</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="function" args="1">p4</e>
        <e type="operand">x</e>
        <e type="function" args="1">cp4</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="function" args="1">p5</e>
        <e type="operand">x</e>
        <e type="function" args="1">cp5</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="function" args="1">p6</e>
        <e type="operand">x</e>
        <e type="function" args="1">cp6</e>
        <e type="operator" args="2">*</e>
        <e type="operand" style="string" />
        <e type="operand">x</e>
        <e type="function" args="1">s2</e>
        <e type="operand">x</e>
        <e type="function" args="1">c2</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="function" args="1">s2_</e>
        <e type="operand">x</e>
        <e type="function" args="1">c2_</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="function" args="1">s11</e>
        <e type="operand">x</e>
        <e type="function" args="1">c11</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="function" args="1">s11_</e>
        <e type="operand">x</e>
        <e type="function" args="1">c11_</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="function" args="1">s10</e>
        <e type="operand">x</e>
        <e type="function" args="1">c10</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="function" args="1">s9</e>
        <e type="operand">x</e>
        <e type="function" args="1">c9</e>
        <e type="operator" args="2">*</e>
        <e type="operand">13</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="15">sys</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="104" left="216" top="5481" width="508" height="286" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="0.00432183727875156" scale_y="0.0974595652936233" scale_z="0.01019066623231" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-207" transpose_y="-96" transpose_z="0">
      <input>
        <e type="operand">plot</e>
      </input>
    </plot>
  </region>
  <region id="105" left="342" top="5868" width="160" height="117" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">M</e>
        <e type="operand">366.59</e>
        <e type="operand">4990</e>
        <e type="operand">379.74</e>
        <e type="operand">4882</e>
        <e type="operand">387.46</e>
        <e type="operand">4441.6</e>
        <e type="operand">390.186</e>
        <e type="operand">4036.8</e>
        <e type="operand">391.3</e>
        <e type="operand">3662.7</e>
        <e type="operand">391.508</e>
        <e type="operand">3316.8</e>
        <e type="operand">6</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="14">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="106" top="5994" color="#000000" bgColor="#ffffff">
    <area collapsed="true">
      <title lang="eng">
        <p>     plotG     Hatch     </p>
      </title>
    </area>
    <region id="107" left="27" top="6021" width="679" height="121" color="#000000" bgColor="#ebebeb" fontSize="10">
      <math>
        <input>
          <e type="operand">vx</e>
          <e type="operand">vy</e>
          <e type="operand">chr</e>
          <e type="operand">sz</e>
          <e type="operand">clr</e>
          <e type="function" args="5">plotG</e>
          <e type="operand">n</e>
          <e type="operand">vx</e>
          <e type="function" preserve="true" args="1">length</e>
          <e type="operator" args="2">:</e>
          <e type="operand">plot</e>
          <e type="operand">vx</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">vy</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">chr</e>
          <e type="operand">sz</e>
          <e type="operand">clr</e>
          <e type="function" preserve="true" args="5">augment</e>
          <e type="operator" args="2">:</e>
          <e type="operand">i</e>
          <e type="operand">2</e>
          <e type="operand">n</e>
          <e type="function" preserve="true" args="2">range</e>
          <e type="operand">plot</e>
          <e type="operand">plot</e>
          <e type="operand">vx</e>
          <e type="operand">i</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">vy</e>
          <e type="operand">i</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">chr</e>
          <e type="operand">sz</e>
          <e type="operand">clr</e>
          <e type="function" preserve="true" args="5">augment</e>
          <e type="function" preserve="true" args="2">stack</e>
          <e type="operator" args="2">:</e>
          <e type="function" preserve="true" args="3">for</e>
          <e type="operand">plot</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="6">line</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="108" left="27" top="6147" width="473" height="274" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <description active="true" position="Top" lang="ger">
          <p>Erzeugt eine Matrix für die Darstellung vertikaler Linien zwischen den Funktionen f(x) und g(x) im Bereich von x1 bis x2 mit 2*n Linien.</p>
        </description>
        <description active="true" position="Top" lang="eng">
          <p>Generates a matrix for 2*N vertical lines (hatching) between functions f(x) and g(x) in x-range from x1 to x2</p>
        </description>
        <input>
          <e type="operand">f1</e>
          <e type="operand">g1</e>
          <e type="operand">x.1</e>
          <e type="operand">x.2</e>
          <e type="operand">N</e>
          <e type="function" args="5">hatch</e>
          <e type="operand">dx</e>
          <e type="operand">x.2</e>
          <e type="operand">x.1</e>
          <e type="operator" args="2">-</e>
          <e type="operand">N</e>
          <e type="operator" args="2">/</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">:</e>
          <e type="operand">h</e>
          <e type="operand">x.1</e>
          <e type="operand">x.1</e>
          <e type="function" args="1">f1</e>
          <e type="operand">x.1</e>
          <e type="operand">x.1</e>
          <e type="function" args="1">g1</e>
          <e type="operand">2</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="6">mat</e>
          <e type="operator" args="2">:</e>
          <e type="operand">x</e>
          <e type="operand">x.1</e>
          <e type="operand">x.2</e>
          <e type="operand">dx</e>
          <e type="operator" args="2">-</e>
          <e type="operand">x.1</e>
          <e type="operand">dx</e>
          <e type="operator" args="2">+</e>
          <e type="function" preserve="true" args="3">range</e>
          <e type="operand">h</e>
          <e type="operand">h</e>
          <e type="operand">x</e>
          <e type="operand">dx</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="operand">x</e>
          <e type="operand">dx</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="function" args="1">g1</e>
          <e type="operand">x</e>
          <e type="operand">dx</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="operand">x</e>
          <e type="operand">dx</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
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          <e type="function" args="1">f1</e>
          <e type="operand">x</e>
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          <e type="operand">x</e>
          <e type="operand">dx</e>
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          <e type="function" args="1">f1</e>
          <e type="operand">x</e>
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          <e type="operand">x</e>
          <e type="operand">dx</e>
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          <e type="function" args="1">g1</e>
          <e type="operand">4</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="10">mat</e>
          <e type="function" preserve="true" args="2">stack</e>
          <e type="operator" args="2">:</e>
          <e type="function" preserve="true" args="3">for</e>
          <e type="operand">h</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="6">line</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="109" top="6480" color="#000000" bgColor="#ffffff">
      <area terminator="true" />
    </region>
  </region>
  <region id="110" left="27" top="6516" width="303" height="31" color="#000000" bgColor="#80ffff" fontSize="14">
    <text lang="eng">
      <p bold="true">Quadratic spline 6 points</p>
    </text>
  </region>
  <region id="111" left="27" top="6552" width="676" height="56" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>This Smath document implements the "Quadratic spline", the basis construction.Once the basis 'D' vector in hand, some supplementary fabrication may be applied.QuadSpline supports the numerical integrator(s) and 'hatch', piecewise.</p>
    </text>
  </region>
  <region id="112" left="27" top="6606" width="214" height="29" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">X</e>
        <e type="operand">M</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="operator" args="2">:</e>
        <e type="operand">Y</e>
        <e type="operand">M</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="operator" args="2">:</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">mat</e>
      </input>
    </math>
  </region>
  <region id="113" left="495" top="6615" width="292" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="6">
      <input>
        <e type="operand">data</e>
        <e type="operand">X</e>
        <e type="operand">Y</e>
        <e type="operand" style="string">.</e>
        <e type="operand">14</e>
        <e type="operand" style="string">black</e>
        <e type="function" args="5">plotG</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="114" left="27" top="6642" width="237" height="106" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">D</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">0</e>
        <e type="operator" args="2">:</e>
        <e type="operand">i</e>
        <e type="operand">2</e>
        <e type="operand">X</e>
        <e type="function" preserve="true" args="1">rows</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">D</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">2</e>
        <e type="operand">Y</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">Y</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">-</e>
        <e type="operand">X</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">X</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="2">el</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="operand">D</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">line</e>
      </input>
    </math>
  </region>
  <region id="115" left="288" top="6642" width="138" height="117" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">D</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
        <e type="operand">16.4259</e>
        <e type="operator" args="1">-</e>
        <e type="operand">97.6674</e>
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        <e type="operand">199.3245</e>
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      <p bold="true">these 4 do jointscalar/discrete</p>
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      <p bold="true">FREAK</p>
    </text>
  </region>
</regions>