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      <revision>13</revision>
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      <exponentialThreshold>5</exponentialThreshold>
      <fractions>decimal</fractions>
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      <margins left="39" right="39" top="39" bottom="39" />
      <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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  <region id="0" left="18" top="18" width="598" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p bold="true">Beispiel 6.6 und 6.7 aus Bathe: Finite Element Procedures</p>
    </text>
  </region>
  <region id="1" left="18" top="54" width="681" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>6.6. Bestimmen Sie die Momentandichte innerhalb des dargestellten</p>
    </text>
  </region>
  <region id="2" left="18" top="81" width="692" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Scheibenelements. Elementkoordinaten gleich Anfangslage (X=r, Y=s)</p>
    </text>
  </region>
  <region id="3" left="18" top="117" width="253" height="211" color="#000000" bgColor="#ffffff" fontSize="10" showInputData="False">
    <image>
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      <input>
        <e type="operand">#</e>
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    <text lang="eng">
      <p>y,Y</p>
    </text>
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  <region id="5" left="234" top="135" width="33" height="36" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">v.1</e>
      </input>
    </math>
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  <region id="6" left="27" top="144" width="23" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">2</e>
      </input>
    </math>
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  <region id="7" left="171" top="144" width="23" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">1</e>
      </input>
    </math>
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    <text lang="eng">
      <p>Element-Knotenkoordinaten</p>
    </text>
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    <math>
      <input>
        <e type="operand">1</e>
      </input>
    </math>
  </region>
  <region id="10" left="225" top="180" width="33" height="36" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">u.1</e>
      </input>
    </math>
  </region>
  <region id="11" left="342" top="189" width="106" height="96" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">X.e</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</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>
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  <region id="12" left="468" top="189" width="156" height="104" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x.e</e>
        <e type="operand">1</e>
        <e type="operand">u.1</e>
        <e type="operator" args="2">+</e>
        <e type="operand">1</e>
        <e type="operand">v.1</e>
        <e type="operator" args="2">+</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</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>
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    </math>
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    <math>
      <input>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
      </input>
    </math>
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  <region id="14" left="171" top="207" width="23" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">1</e>
      </input>
    </math>
  </region>
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    <text lang="eng">
      <p>x,X</p>
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    <math>
      <input>
        <e type="operand">v.1</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">:</e>
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    </math>
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  <region id="17" left="18" top="306" width="23" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">3</e>
      </input>
    </math>
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  <region id="18" left="108" top="306" width="32" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
      </input>
    </math>
  </region>
  <region id="19" left="162" top="306" width="23" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">4</e>
      </input>
    </math>
  </region>
  <region id="20" left="342" top="306" width="59" height="36" color="#000000" bgColor="#ffff80" fontSize="10">
    <math>
      <input>
        <e type="operand">u.1</e>
        <e type="operand">1</e>
        <e type="operator" args="2">:</e>
      </input>
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  <region id="21" top="342" color="#000000" bgColor="#ffffff">
    <area collapsed="true">
      <title lang="eng">
        <p>Rechnungen Dichte</p>
      </title>
    </area>
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      <text lang="eng">
        <p>Ansatzfunktionen </p>
      </text>
    </region>
    <region id="23" left="18" top="396" width="532" height="51" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">N</e>
          <e type="operand">1</e>
          <e type="operand">4</e>
          <e type="operator" args="2">/</e>
          <e type="operand">1</e>
          <e type="operand">X</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">1</e>
          <e type="operand">Y</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">1</e>
          <e type="operand">4</e>
          <e type="operator" args="2">/</e>
          <e type="operand">1</e>
          <e type="operand">X</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">1</e>
          <e type="operand">Y</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">1</e>
          <e type="operand">4</e>
          <e type="operator" args="2">/</e>
          <e type="operand">1</e>
          <e type="operand">X</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">1</e>
          <e type="operand">Y</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">1</e>
          <e type="operand">4</e>
          <e type="operator" args="2">/</e>
          <e type="operand">1</e>
          <e type="operand">X</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">1</e>
          <e type="operand">Y</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</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="operator" args="2">:</e>
        </input>
      </math>
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      <text lang="eng">
        <p>Interpolation der Momentanlage</p>
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          <e type="operand">X</e>
          <e type="operand">Y</e>
          <e type="function" args="2">x</e>
          <e type="operand">x.e</e>
          <e type="operand">i</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="3">el</e>
          <e type="operand">N</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>
          <e type="operand">i</e>
          <e type="operand">1</e>
          <e type="operand">4</e>
          <e type="function" preserve="true" args="4">sum</e>
          <e type="operator" args="2">:</e>
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      </math>
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      <math>
        <input>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="function" args="2">x</e>
        </input>
        <result action="symbolic">
          <e type="operand">1</e>
          <e type="operand">4</e>
          <e type="operator" args="2">/</e>
        </result>
      </math>
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      <math>
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          <e type="operand">X</e>
          <e type="operand">Y</e>
          <e type="function" args="2">y</e>
          <e type="operand">x.e</e>
          <e type="operand">i</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="3">el</e>
          <e type="operand">N</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>
          <e type="operand">i</e>
          <e type="operand">1</e>
          <e type="operand">4</e>
          <e type="function" preserve="true" args="4">sum</e>
          <e type="operator" args="2">:</e>
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      </math>
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      <math>
        <input>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="function" args="2">y</e>
        </input>
        <result action="symbolic">
          <e type="operand">1</e>
          <e type="operand">8</e>
          <e type="operator" args="2">/</e>
        </result>
      </math>
    </region>
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      <text lang="eng">
        <p underline="true">Berechnung des Deformationsgradienten</p>
      </text>
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      <text lang="eng">
        <p>Ortsableitungen der Ansatzfunktionen</p>
      </text>
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    <region id="31" left="18" top="711" width="455" height="94" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">dN</e>
          <e type="operand">N</e>
          <e type="operand">X</e>
          <e type="operand">Y</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="4">mat</e>
          <e type="function" preserve="true" args="2">Jacobian</e>
          <e type="function" preserve="true" args="1">transpose</e>
          <e type="operator" args="2">:</e>
        </input>
        <result action="symbolic">
          <e type="operand">1</e>
          <e type="operand">Y</e>
          <e type="operator" args="2">+</e>
          <e type="operand">4</e>
          <e type="operator" args="2">/</e>
          <e type="operand">1</e>
          <e type="operand">Y</e>
          <e type="operator" args="2">+</e>
          <e type="operand">4</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1</e>
          <e type="operand">Y</e>
          <e type="operator" args="2">-</e>
          <e type="operand">4</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1</e>
          <e type="operand">Y</e>
          <e type="operator" args="2">-</e>
          <e type="operand">4</e>
          <e type="operator" args="2">/</e>
          <e type="operand">1</e>
          <e type="operand">X</e>
          <e type="operator" args="2">+</e>
          <e type="operand">4</e>
          <e type="operator" args="2">/</e>
          <e type="operand">1</e>
          <e type="operand">X</e>
          <e type="operator" args="2">-</e>
          <e type="operand">4</e>
          <e type="operator" args="2">/</e>
          <e type="operand">1</e>
          <e type="operand">X</e>
          <e type="operator" args="2">-</e>
          <e type="operand">4</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1</e>
          <e type="operand">X</e>
          <e type="operator" args="2">+</e>
          <e type="operand">4</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="1">-</e>
          <e type="operand">2</e>
          <e type="operand">4</e>
          <e type="function" preserve="true" args="10">mat</e>
        </result>
      </math>
    </region>
    <region id="32" left="18" top="810" width="164" height="51" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">X</e>
          <e type="operand">Y</e>
          <e type="function" args="2">F</e>
          <e type="operand">dN</e>
          <e type="operand">x.e</e>
          <e type="operator" args="2">*</e>
          <e type="bracket">(</e>
          <e type="function" preserve="true" args="1">transpose</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="33" left="198" top="819" width="414" height="94" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">X</e>
          <e type="operand">Y</e>
          <e type="function" args="2">F</e>
          <e type="operand">X</e>
          <e type="operand">Y</e>
          <e type="function" args="2">F</e>
          <e type="function" args="1">ratsimp</e>
          <e type="function" preserve="true" args="1">Maxima</e>
          <e type="operator" args="2">:</e>
        </input>
        <result action="symbolic">
          <e type="operand">5</e>
          <e type="operand">Y</e>
          <e type="operator" args="2">+</e>
          <e type="operand">4</e>
          <e type="operator" args="2">/</e>
          <e type="operand">1</e>
          <e type="operand">X</e>
          <e type="operator" args="2">+</e>
          <e type="operand">4</e>
          <e type="operator" args="2">/</e>
          <e type="operand">1</e>
          <e type="operand">Y</e>
          <e type="operator" args="2">+</e>
          <e type="operand">8</e>
          <e type="operator" args="2">/</e>
          <e type="operand">9</e>
          <e type="operand">X</e>
          <e type="operator" args="2">+</e>
          <e type="operand">8</e>
          <e type="operator" args="2">/</e>
          <e type="operand">2</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="6">mat</e>
        </result>
      </math>
    </region>
    <region id="34" left="18" top="909" width="415" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p>Determinante des Deformationsgradienten</p>
      </text>
    </region>
    <region id="35" left="18" top="936" width="313" height="51" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">X</e>
          <e type="operand">Y</e>
          <e type="function" args="2">F</e>
          <e type="function" preserve="true" args="1">det</e>
        </input>
        <result action="symbolic">
          <e type="operand">5</e>
          <e type="operand">Y</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</e>
          <e type="operand">9</e>
          <e type="operand">X</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">1</e>
          <e type="operand">Y</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</e>
          <e type="operand">1</e>
          <e type="operand">X</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">32</e>
          <e type="operator" args="2">/</e>
        </result>
      </math>
    </region>
    <region id="36" left="18" top="981" width="447" height="49" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">X</e>
          <e type="operand">Y</e>
          <e type="function" args="2">detF</e>
          <e type="operand">X</e>
          <e type="operand">Y</e>
          <e type="function" args="2">F</e>
          <e type="function" preserve="true" args="1">det</e>
          <e type="function" args="1">ratsimp</e>
          <e type="function" preserve="true" args="1">Maxima</e>
          <e type="operator" args="2">:</e>
        </input>
        <result action="symbolic">
          <e type="operand">11</e>
          <e type="operand">X</e>
          <e type="operator" args="2">+</e>
          <e type="operand">2</e>
          <e type="operand">Y</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="operand">8</e>
          <e type="operator" args="2">/</e>
        </result>
      </math>
    </region>
    <region id="37" top="1053" color="#000000" bgColor="#ffffff">
      <area terminator="true" />
    </region>
    <region id="38" top="1080" color="#000000" bgColor="#ffffff">
      <area collapsed="false">
        <title lang="eng">
          <p>Ergebnisse Dichte</p>
        </title>
      </area>
      <region id="39" left="18" top="1107" width="389" height="418" color="#000000" bgColor="#ffffff" fontSize="10" showInputData="False">
        <maximaplugin>
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</ImageFile>
          <plotstore>
            <PlotStore xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xsd="http://www.w3.org/2001/XMLSchema">
              <commandList>
                <string>terminal=pngcairo</string>
                <string>file_name="C:/Users/Kraska/AppData/Roaming/SMath/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/GnuPlot/cwm4hxla"</string>
                <string>dimensions=[379;410]</string>
                <string>font="Arial"</string>
                <string>font_size=8</string>
                <string>xu_grid=40</string>
                <string>yv_grid=40</string>
                <string>xlabel="x"</string>
                <string>ylabel="y"</string>
                <string>zlabel="z"</string>
                <string>xrange=[-1.5;2]</string>
                <string>yrange=[-1.5;2]</string>
              </commandList>
              <prambleList>
                <string>"set term pngcairo font ',8' enhanced size 379, 410"</string>
                <string>"set encoding iso_8859_2"</string>
                <string>"set view map"</string>
                <string>"set grid xtics mxtics"</string>
                <string>"set grid ytics mytics"</string>
              </prambleList>
              <plotType>plot3D</plotType>
              <titleDefault>SAMPLE PLOT</titleDefault>
              <title>Sample</title>
              <titleState>Disable</titleState>
              <border>Disable</border>
              <borderVal>4095</borderVal>
              <textSize>8</textSize>
              <textSizeState>Disable</textSizeState>
              <textFont>Arial</textFont>
              <contour>Disable</contour>
              <contourType />
              <contourLevels>5</contourLevels>
              <pm3d>Disable</pm3d>
              <pm3dpalette>[blue,red,green]</pm3dpalette>
              <gridXu>40</gridXu>
              <gridYv>40</gridYv>
              <gridState>Custom</gridState>
              <width>379</width>
              <height>410</height>
              <pictureSizeState>Interactive</pictureSizeState>
              <filename>C:/Users/Kraska/AppData/Roaming/SMath/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/GnuPlot/cwm4hxla</filename>
              <termType>png</termType>
              <mapView>Disable</mapView>
              <xName>x</xName>
              <yName>y</yName>
              <zName>z</zName>
              <xNameS>Default</xNameS>
              <yNameS>Default</yNameS>
              <zNameS>Default</zNameS>
              <xMinRange>-1.5</xMinRange>
              <xMaxRange>2</xMaxRange>
              <yMinRange>-1.5</yMinRange>
              <yMaxRange>2</yMaxRange>
              <zMinRange>-5</zMinRange>
              <zMaxRange>5</zMaxRange>
              <xRangeS>Custom</xRangeS>
              <yRangeS>Custom</yRangeS>
              <zRangeS>Disable</zRangeS>
              <xGrid>Enable</xGrid>
              <yGrid>Enable</yGrid>
              <zGrid>Disable</zGrid>
              <xLogarithmic>Disable</xLogarithmic>
              <yLogarithmic>Disable</yLogarithmic>
              <zLogarithmic>Disable</zLogarithmic>
              <xLogBase>10</xLogBase>
              <yLogBase>10</yLogBase>
              <zLogBase>10</zLogBase>
              <azimuth>65</azimuth>
              <zenith>33</zenith>
              <scalAzimuth>2</scalAzimuth>
              <scalZenith>-7</scalZenith>
              <view>MapView</view>
              <mouseRedirecting>Disable</mouseRedirecting>
              <varNameMouseX>MouseX1</varNameMouseX>
              <varNameMouseY>MouseY1</varNameMouseY>
              <varNameMouseWheel>MouseW1</varNameMouseWheel>
              <viewRedirecting>Disable</viewRedirecting>
              <varNameAzimuth>Azimuth1</varNameAzimuth>
              <varNameZenith>Zenith1</varNameZenith>
              <xRedirecting>Disable</xRedirecting>
              <varNameXmin>MinX1</varNameXmin>
              <varNameXmax>MaxX1</varNameXmax>
              <yRedirecting>Disable</yRedirecting>
              <varNameYmin>MinY1</varNameYmin>
              <varNameYmax>MaxY1</varNameYmax>
              <zRedirecting>Disable</zRedirecting>
              <varNameZmin>MinZ1</varNameZmin>
              <varNameZmax>MaxZ1</varNameZmax>
              <option>none;</option>
            </PlotStore>
          </plotstore>
          <input>
            <e type="operand">user_preamble</e>
            <e type="operand" style="string">set style fill transparent solid 0.7 border</e>
            <e type="operator" args="2">≡</e>
            <e type="operand">points_joined</e>
            <e type="operand">true</e>
            <e type="operator" args="2">≡</e>
            <e type="operand">point_type</e>
            <e type="operand">filled_circle</e>
            <e type="operator" args="2">≡</e>
            <e type="operand">point_size</e>
            <e type="operand">1.5</e>
            <e type="operator" args="2">≡</e>
            <e type="operand">color</e>
            <e type="operand">black</e>
            <e type="operator" args="2">≡</e>
            <e type="operand">xyplane</e>
            <e type="operand">0</e>
            <e type="operator" args="2">≡</e>
            <e type="operand">1</e>
            <e type="operand">1</e>
            <e type="operand">1</e>
            <e type="operand">1</e>
            <e type="operator" args="1">-</e>
            <e type="operand">1</e>
            <e type="operand">1</e>
            <e type="operand">1</e>
            <e type="operator" args="1">-</e>
            <e type="operand">1</e>
            <e type="operator" args="1">-</e>
            <e type="operand">1</e>
            <e type="operand">1</e>
            <e type="operand">1</e>
            <e type="operator" args="1">-</e>
            <e type="operand">1</e>
            <e type="operand">1</e>
            <e type="operand">1</e>
            <e type="operand">1</e>
            <e type="operand">5</e>
            <e type="operand">3</e>
            <e type="function" preserve="true" args="17">mat</e>
            <e type="function" args="1">points</e>
            <e type="operand">enhanced3d</e>
            <e type="operand">true</e>
            <e type="operator" args="2">≡</e>
            <e type="operand">X</e>
            <e type="operand">Y</e>
            <e type="function" args="2">x</e>
            <e type="operand">X</e>
            <e type="operand">Y</e>
            <e type="function" args="2">y</e>
            <e type="operand">1</e>
            <e type="operand">X</e>
            <e type="operand">Y</e>
            <e type="function" args="2">detF</e>
            <e type="operator" args="2">/</e>
            <e type="operand">X</e>
            <e type="operand">1</e>
            <e type="operator" args="1">-</e>
            <e type="operand">1</e>
            <e type="operand">Y</e>
            <e type="operand">1</e>
            <e type="operator" args="1">-</e>
            <e type="operand">1</e>
            <e type="function" args="9">parametric_surface</e>
            <e type="operand">line_type</e>
            <e type="operand">solid</e>
            <e type="operator" args="2">≡</e>
            <e type="operand">xaxis</e>
            <e type="operand">true</e>
            <e type="operator" args="2">≡</e>
            <e type="operand">xaxis_type</e>
            <e type="operand">solid</e>
            <e type="operator" args="2">≡</e>
            <e type="operand">yaxis</e>
            <e type="operand">true</e>
            <e type="operator" args="2">≡</e>
            <e type="operand">yaxis_type</e>
            <e type="operand">solid</e>
            <e type="operator" args="2">≡</e>
            <e type="operand">title</e>
            <e type="operand" style="string">{/Symbol r}/{/Symbol r}_0</e>
            <e type="operator" args="2">≡</e>
            <e type="operand">15</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="17">sys</e>
          </input>
        </maximaplugin>
      </region>
      <region id="40" left="423" top="1116" width="200" height="94" color="#000000" bgColor="#ffffff" fontSize="10">
        <math>
          <input>
            <e type="operand">X</e>
            <e type="operand">Y</e>
            <e type="function" args="2">F</e>
          </input>
          <result action="symbolic">
            <e type="operand">5</e>
            <e type="operand">Y</e>
            <e type="operator" args="2">+</e>
            <e type="operand">4</e>
            <e type="operator" args="2">/</e>
            <e type="operand">1</e>
            <e type="operand">X</e>
            <e type="operator" args="2">+</e>
            <e type="operand">4</e>
            <e type="operator" args="2">/</e>
            <e type="operand">1</e>
            <e type="operand">Y</e>
            <e type="operator" args="2">+</e>
            <e type="operand">8</e>
            <e type="operator" args="2">/</e>
            <e type="operand">9</e>
            <e type="operand">X</e>
            <e type="operator" args="2">+</e>
            <e type="operand">8</e>
            <e type="operator" args="2">/</e>
            <e type="operand">2</e>
            <e type="operand">2</e>
            <e type="function" preserve="true" args="6">mat</e>
          </result>
        </math>
      </region>
      <region id="41" left="423" top="1233" width="154" height="51" color="#000000" bgColor="#ffffff" fontSize="10">
        <math>
          <input>
            <e type="operand">1</e>
            <e type="operand">1</e>
            <e type="operand">1</e>
            <e type="function" args="2">detF</e>
            <e type="operator" args="2">/</e>
          </input>
          <result action="symbolic">
            <e type="operand">4</e>
            <e type="operand">7</e>
            <e type="operator" args="2">/</e>
          </result>
        </math>
      </region>
      <region id="42" top="1521" color="#000000" bgColor="#ffffff">
        <area terminator="true" />
      </region>
      <region id="43" left="9" top="1539" width="748" height="48" color="#000000" bgColor="#ffffff" fontSize="10">
        <text lang="eng">
          <p>6.7: Bestimmen Sie die Transformation zweier Einheitsvektoren in X- und Y-Richtung innerhalb des in 6.6 betrachteten Elements.</p>
        </text>
      </region>
      <region id="44" left="9" top="1593" width="49" height="28" color="#000000" bgColor="#ffff80" fontSize="10">
        <math>
          <input>
            <e type="operand">X</e>
            <e type="operand">0</e>
            <e type="operator" args="2">:</e>
          </input>
        </math>
      </region>
      <region id="45" left="63" top="1593" width="49" height="28" color="#000000" bgColor="#ffff80" fontSize="10">
        <math>
          <input>
            <e type="operand">Y</e>
            <e type="operand">1</e>
            <e type="operator" args="2">:</e>
          </input>
        </math>
      </region>
      <region id="46" left="9" top="1620" width="188" height="43" color="#000000" bgColor="#ffffff" fontSize="10">
        <math optimize="2">
          <input>
            <e type="operand">C</e>
            <e type="operand">X</e>
            <e type="operand">Y</e>
            <e type="function" args="2">F</e>
            <e type="function" preserve="true" args="1">transpose</e>
            <e type="operand">X</e>
            <e type="operand">Y</e>
            <e type="function" args="2">F</e>
            <e type="operator" args="2">*</e>
            <e type="operator" args="2">:</e>
          </input>
        </math>
      </region>
      <region id="47" left="234" top="1629" width="121" height="94" color="#000000" bgColor="#ffffff" fontSize="10">
        <math>
          <input>
            <e type="operand">C</e>
          </input>
          <result action="symbolic">
            <e type="operand">37</e>
            <e type="operand">16</e>
            <e type="operator" args="2">/</e>
            <e type="operand">21</e>
            <e type="operand">32</e>
            <e type="operator" args="2">/</e>
            <e type="operand">21</e>
            <e type="operand">32</e>
            <e type="operator" args="2">/</e>
            <e type="operand">85</e>
            <e type="operand">64</e>
            <e type="operator" args="2">/</e>
            <e type="operand">2</e>
            <e type="operand">2</e>
            <e type="function" preserve="true" args="6">mat</e>
          </result>
        </math>
      </region>
      <region id="48" left="387" top="1629" width="195" height="52" color="#000000" bgColor="#ffffff" fontSize="10">
        <math>
          <input>
            <e type="operand">C</e>
          </input>
          <result action="numeric">
            <e type="operand">2.3125</e>
            <e type="operand">0.6562</e>
            <e type="operand">0.6562</e>
            <e type="operand">1.3281</e>
            <e type="operand">2</e>
            <e type="operand">2</e>
            <e type="function" preserve="true" args="6">mat</e>
          </result>
        </math>
      </region>
      <region id="49" left="18" top="1674" width="69" height="52" color="#000000" bgColor="#ffffff" fontSize="10">
        <math>
          <input>
            <e type="operand">e.X</e>
            <e type="operand">1</e>
            <e type="operand">0</e>
            <e type="operand">2</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="4">mat</e>
            <e type="operator" args="2">:</e>
          </input>
        </math>
      </region>
      <region id="50" left="117" top="1674" width="69" height="52" color="#000000" bgColor="#ffffff" fontSize="10">
        <math>
          <input>
            <e type="operand">e.Y</e>
            <e type="operand">0</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>
            <e type="operator" args="2">:</e>
          </input>
        </math>
      </region>
      <region id="51" left="378" top="1728" width="228" height="40" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
        <math>
          <input>
            <e type="operand">λ.X</e>
            <e type="operand">e.X</e>
            <e type="operand">C</e>
            <e type="operand">e.X</e>
            <e type="operator" args="2">*</e>
            <e type="bracket">(</e>
            <e type="operator" args="2">*</e>
            <e type="function" preserve="true" args="1">sqrt</e>
            <e type="operator" args="2">:</e>
          </input>
          <result action="numeric">
            <e type="operand">1.5207</e>
          </result>
        </math>
      </region>
      <region id="52" left="18" top="1737" width="250" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
        <text lang="eng">
          <p>Streckung in X-Richtung</p>
        </text>
      </region>
      <region id="53" left="18" top="1773" width="250" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
        <text lang="eng">
          <p>Streckung in Y-Richtung</p>
        </text>
      </region>
      <region id="54" left="378" top="1773" width="228" height="40" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
        <math>
          <input>
            <e type="operand">λ.Y</e>
            <e type="operand">e.Y</e>
            <e type="operand">C</e>
            <e type="operand">e.Y</e>
            <e type="operator" args="2">*</e>
            <e type="bracket">(</e>
            <e type="operator" args="2">*</e>
            <e type="function" preserve="true" args="1">sqrt</e>
            <e type="operator" args="2">:</e>
          </input>
          <result action="numeric">
            <e type="operand">1.1524</e>
          </result>
        </math>
      </region>
      <region id="55" left="18" top="1827" width="337" height="48" color="#000000" bgColor="#ffffff" fontSize="10">
        <text lang="eng">
          <p>Winkel zwischen Linienelementen entlang X und Y</p>
        </text>
      </region>
      <region id="56" left="378" top="1827" width="274" height="69" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
        <math>
          <input>
            <e type="operand">φ</e>
            <e type="operand">e.X</e>
            <e type="operand">C</e>
            <e type="operand">e.Y</e>
            <e type="operator" args="2">*</e>
            <e type="bracket">(</e>
            <e type="operator" args="2">*</e>
            <e type="operand">λ.X</e>
            <e type="operand">λ.Y</e>
            <e type="operator" args="2">*</e>
            <e type="operator" args="2">/</e>
            <e type="function" preserve="true" args="1">acos</e>
            <e type="operator" args="2">:</e>
          </input>
          <contract>
            <e type="operand" style="unit">°</e>
          </contract>
          <result action="numeric">
            <e type="operand">68.0089</e>
          </result>
        </math>
      </region>
      <region id="57" left="18" top="1890" width="140" height="37" color="#000000" bgColor="#ffffff" fontSize="10">
        <math>
          <input>
            <e type="operand">e.x</e>
            <e type="operand">X</e>
            <e type="operand">Y</e>
            <e type="function" args="2">F</e>
            <e type="operand">e.X</e>
            <e type="operator" args="2">*</e>
            <e type="operator" args="2">:</e>
          </input>
        </math>
      </region>
      <region id="58" left="189" top="1890" width="140" height="37" color="#000000" bgColor="#ffffff" fontSize="10">
        <math>
          <input>
            <e type="operand">e.y</e>
            <e type="operand">X</e>
            <e type="operand">Y</e>
            <e type="function" args="2">F</e>
            <e type="operand">e.Y</e>
            <e type="operator" args="2">*</e>
            <e type="operator" args="2">:</e>
          </input>
        </math>
      </region>
      <region id="59" left="342" top="1890" width="70" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
        <math>
          <input>
            <e type="operand">l</e>
            <e type="operand">0.6</e>
            <e type="operator" args="2">:</e>
          </input>
        </math>
      </region>
      <region id="60" left="18" top="1935" width="410" height="358" color="#000000" bgColor="#ffffff" fontSize="10" showInputData="False">
        <image>
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