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      <title lang="ger">
        <p>     hatch [Martin]     </p>
      </title>
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      <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>
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          <e type="operand">f</e>
          <e type="operand">g</e>
          <e type="operand">x.1</e>
          <e type="operand">x.2</e>
          <e type="operand">N</e>
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          <e type="operand">x.1</e>
          <e type="operator" args="2">-</e>
          <e type="operand">N</e>
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          <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>
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          <e type="operand">x.1</e>
          <e type="operand">x.1</e>
          <e type="function" args="1">g</e>
          <e type="operand">2</e>
          <e type="operand">2</e>
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          <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">g</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">f</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">f</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">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>
          <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>
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        <e type="function" args="1">f</e>
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">2</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
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        <e type="operand">3</e>
        <e type="operand">10</e>
        <e type="operand">3</e>
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        <e type="operand">3</e>
        <e type="operand">10</e>
        <e type="function" args="5">hatch</e>
        <e type="operand">4</e>
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        <e type="operand">5.5511</e>
        <e type="operand">10</e>
        <e type="operand">16</e>
        <e type="operator" args="1">-</e>
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