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      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
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    <math decimalPlaces="4">
      <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">u</e>
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        <e type="function" args="5">hatch</e>
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        <e type="operand">v</e>
        <e type="operand">u</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">u</e>
        <e type="operand">u</e>
        <e type="function" args="1">f</e>
        <e type="operand">u</e>
        <e type="operand">u</e>
        <e type="function" args="1">g</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">u</e>
        <e type="operand">v</e>
        <e type="operand">dx</e>
        <e type="operator" args="2">-</e>
        <e type="operand">u</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>
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        <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>
        <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">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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    </math>
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    <math decimalPlaces="4">
      <input>
        <e type="operand">t0</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="1">time</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
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    <math>
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        <e type="operand">ω</e>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">0.35</e>
        <e type="operand">15</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operator" args="2">*</e>
        <e type="operand">0.1</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
        <e type="operand">x</e>
        <e type="function" args="1">g</e>
        <e type="operand">5</e>
        <e type="operand">x</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</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="operand">0.4</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
        <e type="operand" style="string">blank green</e>
        <e type="operand" style="string">balnk mgenta</e>
        <e type="operand">H</e>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">x</e>
        <e type="function" args="1">g</e>
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        <e type="operand">0.5</e>
        <e type="operand">30</e>
        <e type="function" args="5">hatch</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>
        <e type="operator" args="2">:</e>
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        <e type="function" preserve="true" args="1">time</e>
        <e type="operand">t0</e>
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        <e type="operand" style="unit">sec</e>
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    <math optimize="2" decimalPlaces="4">
      <description active="true" position="Top" lang="eng">
        <p>Alvaro discrete/export hatching</p>
      </description>
      <input>
        <e type="operand">f</e>
        <e type="operand">g</e>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="operand">N</e>
        <e type="function" args="5">hatch</e>
        <e type="operand">Δx</e>
        <e type="operand">b</e>
        <e type="operand">a</e>
        <e type="operator" args="2">-</e>
        <e type="operand">N</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">:</e>
        <e type="operand">x</e>
        <e type="operand">a</e>
        <e type="operator" args="2">:</e>
        <e type="operand">ξ</e>
        <e type="operand">a</e>
        <e type="operand">Δx</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
        <e type="operand">R</e>
        <e type="operand">0</e>
        <e type="operator" args="2">:</e>
        <e type="operand">1</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="6">mat</e>
        <e type="operand">k</e>
        <e type="operand">1</e>
        <e type="operand">N</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">R</e>
        <e type="operand">4</e>
        <e type="operand">k</e>
        <e type="operator" args="2">*</e>
        <e type="operand">3</e>
        <e type="operator" args="2">-</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">x</e>
        <e type="operator" args="2">:</e>
        <e type="operand">R</e>
        <e type="operand">4</e>
        <e type="operand">k</e>
        <e type="operator" args="2">*</e>
        <e type="operand">3</e>
        <e type="operator" args="2">-</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operator" args="2">:</e>
        <e type="operand">R</e>
        <e type="operand">4</e>
        <e type="operand">k</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operator" args="2">-</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">x</e>
        <e type="operator" args="2">:</e>
        <e type="operand">R</e>
        <e type="operand">4</e>
        <e type="operand">k</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operator" args="2">-</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">x</e>
        <e type="function" args="1">g</e>
        <e type="operator" args="2">:</e>
        <e type="operand">R</e>
        <e type="operand">4</e>
        <e type="operand">k</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">ξ</e>
        <e type="operator" args="2">:</e>
        <e type="operand">R</e>
        <e type="operand">4</e>
        <e type="operand">k</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">ξ</e>
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        <e type="operator" args="2">:</e>
        <e type="operand">R</e>
        <e type="operand">4</e>
        <e type="operand">k</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">ξ</e>
        <e type="operator" args="2">:</e>
        <e type="operand">R</e>
        <e type="operand">4</e>
        <e type="operand">k</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
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        <e type="operand">x</e>
        <e type="operand">Δx</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
        <e type="operand">ξ</e>
        <e type="operand">ξ</e>
        <e type="operand">Δx</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
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        <e type="operand">2</e>
        <e type="function" preserve="true" args="12">mat</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">R</e>
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        <e type="operand">b</e>
        <e type="function" args="1">f</e>
        <e type="operand">b</e>
        <e type="operand">b</e>
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        <e type="operand">2</e>
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        <e type="function" preserve="true" args="2">stack</e>
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        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">line</e>
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        <e type="operand">t0</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="1">time</e>
        <e type="operator" args="2">:</e>
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        <e type="operand">Ω</e>
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        <e type="operator" args="2">:</e>
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        <e type="operand">x</e>
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        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
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        <e type="operator" args="2">-</e>
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        <e type="operand" style="string">blank green </e>
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        <e type="function" args="1">f</e>
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        <e type="operand">1</e>
        <e type="function" preserve="true" args="7">sys</e>
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        <e type="operand">Ω</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="2">el</e>
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        <e type="operand">Ω</e>
      </input>
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    <math decimalPlaces="2">
      <input>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="1">time</e>
        <e type="operand">t0</e>
        <e type="operator" args="2">-</e>
      </input>
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        <e type="operand">0.65</e>
        <e type="operand" style="unit">sec</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
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        <e type="operand">XY</e>
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        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operator" args="2">*</e>
        <e type="operand">0.1</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
        <e type="operand">x</e>
        <e type="function" args="1">g</e>
        <e type="operand">5</e>
        <e type="operand">x</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
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        <e type="operator" args="2">:</e>
        <e type="operand">G</e>
        <e type="operand">x</e>
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        <e type="operand">x</e>
        <e type="function" args="1">g</e>
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        <e type="operand">1</e>
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      <xylabel labelfont="Arial, 10pt" labelfontcolor="Black" tickfont="Courier New, 10pt" tickfontcolor="Black" xlabel="x" ylabel="y" y2label="y2" />
      <legend isbordervisible="true" islegendvisible="false" legendbackcolor="White" legendbordercolor="Black" legendfont="Arial, 8pt" legendposition="NorthEast" textcolor="Black" />
      <traces>
        <trace seriesname="" isy2data="false" isvisible="true" plotmethod="Lines" linecolor="Blue" linethickness="1" linepattern="Solid" symbolsize="8" symboltype="None" symbolborderthickness="1" symbolbordercolor="Black" symbolfillcolor="White" />
        <trace seriesname="" isy2data="false" isvisible="true" plotmethod="Lines" linecolor="Red" linethickness="1" linepattern="Solid" symbolsize="8" symboltype="None" symbolborderthickness="1" symbolbordercolor="Black" symbolfillcolor="White" />
        <trace seriesname="" isy2data="false" isvisible="true" plotmethod="Lines" linecolor="PaleGreen" linethickness="1" linepattern="Solid" symbolsize="2" symboltype="Dot" symbolborderthickness="1" symbolbordercolor="Black" symbolfillcolor="White" />
      </traces>
      <input>
        <e type="operand">XY</e>
      </input>
    </xyplot>
  </region>
  <region id="13" left="18" top="1107" width="525" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">bar</e>
        <e type="operand">Ω</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">11</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">Ω</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">11</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="function" preserve="true" args="2">augment</e>
        <e type="operand">Ω</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">12</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">Ω</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">12</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="function" preserve="true" args="2">augment</e>
        <e type="function" preserve="true" args="2">stack</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="14" left="18" top="1161" width="221" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">bar</e>
      </input>
      <result action="numeric">
        <e type="operand">0.148276</e>
        <e type="operand">0.119748</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.148276</e>
        <e type="operand">0.17792</e>
        <e type="operand">2</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="6">mat</e>
      </result>
    </math>
  </region>
</regions>