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      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
      <footer alignment="Center" color="#a9a9a9">&amp;[PAGENUM] / &amp;[COUNT]</footer>
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    <text lang="eng">
      <p bold="true">The Gaussian b-spline </p>
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        <e type="bracket">(</e>
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        <e type="operand">1</e>
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        <p>Supports: Graph by points/lines </p>
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      <title lang="ger">
        <p>hatch</p>
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        <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>
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          <e type="function" args="1">f</e>
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          <e type="operand">x</e>
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          <e type="operator" args="2">+</e>
          <e type="function" args="1">g</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>
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          <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>
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        <e type="operand">x</e>
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        <e type="operand">x</e>
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        <e type="operator" args="2">≤</e>
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        <p>Otherwise setup for convenience: collapse in utilites</p>
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        <e type="function" args="5">f</e>
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        <e type="operator" args="1">-</e>
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        <e type="operand">1</e>
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        <e type="operand">r</e>
        <e type="operand">1</e>
        <e type="operand">6</e>
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        <e type="operand">1</e>
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        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
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        <e type="operator" args="2">^</e>
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        <e type="operand">2</e>
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        <e type="operator" args="2">/</e>
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        <e type="bracket">(</e>
        <e type="operand">3</e>
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        <e type="operator" args="2">*</e>
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        <e type="operand">1</e>
        <e type="operand">6</e>
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        <e type="operand">3</e>
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        <e type="operator" args="2">*</e>
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        <e type="operand">u</e>
        <e type="operand">1</e>
        <e type="operand">6</e>
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        <e type="operand">2</e>
        <e type="operand">x</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">v</e>
        <e type="operand">0</e>
        <e type="function" preserve="true" args="13">cases</e>
        <e type="operator" args="2">:</e>
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        <e type="operand">x</e>
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        <e type="bracket">(</e>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">≤</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">&amp;</e>
        <e type="operator" args="2">:</e>
        <e type="operand">s</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">x</e>
        <e type="operator" args="2">≤</e>
        <e type="bracket">(</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≤</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">&amp;</e>
        <e type="operator" args="2">:</e>
        <e type="operand">u</e>
        <e type="operand">0</e>
        <e type="operand">x</e>
        <e type="operator" args="2">≤</e>
        <e type="bracket">(</e>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="operator" args="2">≤</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">&amp;</e>
        <e type="operator" args="2">:</e>
        <e type="operand">v</e>
        <e type="operand">1</e>
        <e type="operand">x</e>
        <e type="operator" args="2">≤</e>
        <e type="bracket">(</e>
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="operator" args="2">≤</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">&amp;</e>
        <e type="operator" args="2">:</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">line</e>
      </input>
    </math>
  </region>
  <region id="15" left="207" top="1413" width="216" height="157" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">plot</e>
        <e type="operand">x</e>
        <e type="operand">r</e>
        <e type="operand">s</e>
        <e type="operand">u</e>
        <e type="operand">v</e>
        <e type="function" args="5">f</e>
        <e type="operand">r</e>
        <e type="operator" args="2">*</e>
        <e type="operand">r</e>
        <e type="operator" args="2">/</e>
        <e type="operand">x</e>
        <e type="operand">r</e>
        <e type="operand">s</e>
        <e type="operand">u</e>
        <e type="operand">v</e>
        <e type="function" args="5">f</e>
        <e type="operand">s</e>
        <e type="operator" args="2">*</e>
        <e type="operand">s</e>
        <e type="operator" args="2">/</e>
        <e type="operand">x</e>
        <e type="operand">r</e>
        <e type="operand">s</e>
        <e type="operand">u</e>
        <e type="operand">v</e>
        <e type="function" args="5">f</e>
        <e type="operand">u</e>
        <e type="operator" args="2">*</e>
        <e type="operand">u</e>
        <e type="operator" args="2">/</e>
        <e type="operand">x</e>
        <e type="operand">r</e>
        <e type="operand">s</e>
        <e type="operand">u</e>
        <e type="operand">v</e>
        <e type="function" args="5">f</e>
        <e type="operand">v</e>
        <e type="operator" args="2">*</e>
        <e type="operand">v</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>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="16" left="432" top="1413" width="247" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="points" scale_x="14.2767836745435" scale_y="4.17724816941566" scale_z="59.63766846963" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="0" transpose_y="-44" transpose_z="0">
      <description active="true" position="Top" lang="eng">
        <p>Supports: Graph by points/lines </p>
      </description>
      <input>
        <e type="operand">plot</e>
      </input>
    </plot>
  </region>
</regions>