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          <e type="operand">0</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="81" top="2277" width="46" height="24" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">B</e>
          <e type="operand">0</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="135" top="2277" width="162" height="26" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">A</e>
          <e type="operand">0</e>
          <e type="operand">L</e>
          <e type="function" args="2">F</e>
          <e type="operator" args="2">:</e>
        </input>
        <result action="numeric">
          <e type="operand">0.248</e>
          <e type="operand" style="unit">N</e>
          <e type="operator" args="2">*</e>
        </result>
      </math>
    </region>
    <region left="522" top="2286" width="155" height="69" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">x</e>
          <e type="operand">x</e>
          <e type="function" args="1">q</e>
          <e type="operator" args="2">*</e>
          <e type="operand">x</e>
          <e type="operand">0</e>
          <e type="operand">L</e>
          <e type="function" args="4">int</e>
        </input>
        <result action="numeric">
          <e type="operand">1.5</e>
          <e type="operand" style="unit">J</e>
          <e type="operator" args="2">*</e>
        </result>
      </math>
    </region>
    <region left="135" top="2295" width="162" height="26" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">B</e>
          <e type="operand">L</e>
          <e type="operand">0</e>
          <e type="function" args="2">F</e>
          <e type="operator" args="2">:</e>
        </input>
        <result action="numeric">
          <e type="operand">0.748</e>
          <e type="operand" style="unit">N</e>
          <e type="operator" args="2">*</e>
        </result>
      </math>
    </region>
    <region left="9" top="2376" width="246" height="272" color="#000000" bgColor="#ffffff" fontSize="10">
      <snapshot tag="QM" ID="6" tile="true" width="236" height="220" compact="false" showInViewer="false" tagAlignHz="Right" tagAlignVr="Bottom">
        <input>
          <e type="operand" style="string">QM</e>
        </input>
      </snapshot>
    </region>
    <region left="9" top="2403" width="240" height="158" color="#000000" fontSize="10">
      <plot type="2d" render="lines" scale_x="6.52110945780322" scale_y="24.7722249182707" scale_z="151292760.434175" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-115" transpose_y="-1" transpose_z="0">
        <input>
          <e type="operand">x</e>
          <e type="operand">L</e>
          <e type="operator" args="2">*</e>
          <e type="function" args="1">q</e>
          <e type="operand">x</e>
          <e type="operand">L</e>
          <e type="operator" args="2">*</e>
          <e type="function" args="1">Q</e>
          <e type="operand">x</e>
          <e type="operand">L</e>
          <e type="operator" args="2">*</e>
          <e type="function" args="1">M</e>
          <e type="operand">3</e>
          <e type="operand">1</e>
          <e type="function" args="5">sys</e>
        </input>
      </plot>
    </region>
    <region left="81" top="2412" width="45" height="26" color="#0000ff" fontSize="10">
      <math>
        <input>
          <e type="operand">x</e>
          <e type="function" args="1">q</e>
        </input>
      </math>
    </region>
    <region left="324" top="2412" width="245" height="30" color="#000000" fontSize="10">
      <math evaluate="false">
        <input>
          <e type="operand">x</e>
          <e type="operand">L</e>
          <e type="operator" args="2">*</e>
          <e type="function" args="1">Q</e>
          <e type="function" args="1">eval</e>
          <e type="operand">x</e>
          <e type="operand">0</e>
          <e type="operand">1</e>
          <e type="function" args="4">solve</e>
        </input>
        <result action="numeric">
          <e type="operand">#</e>
        </result>
      </math>
    </region>
    <region left="162" top="2439" width="45" height="26" color="#008000" fontSize="10">
      <math>
        <input>
          <e type="operand">x</e>
          <e type="function" args="1">M</e>
        </input>
      </math>
    </region>
    <region left="324" top="2475" width="241" height="30" color="#000000" fontSize="10">
      <math evaluate="false">
        <input>
          <e type="operand">x</e>
          <e type="operand">L</e>
          <e type="operator" args="2">*</e>
          <e type="function" args="1">Q</e>
          <e type="function" args="1">eval</e>
          <e type="operand">x</e>
          <e type="operand">0.6</e>
          <e type="function" args="3">roots</e>
        </input>
        <result action="numeric">
          <e type="operand">#</e>
        </result>
      </math>
    </region>
    <region left="171" top="2511" width="45" height="26" color="#ff0000" fontSize="10">
      <math>
        <input>
          <e type="operand">x</e>
          <e type="function" args="1">Q</e>
        </input>
      </math>
    </region>
    <region left="0" top="2646" width="561" height="324" color="#000000" bgColor="#ffffff" fontSize="10">
      <snapshot tag="QM" ID="7" tile="true" width="551" height="272" compact="false" showInViewer="false" tagAlignHz="Right" tagAlignVr="Bottom">
        <input>
          <e type="operand" style="string">QM</e>
        </input>
      </snapshot>
    </region>
    <region left="9" top="2673" width="371" height="31" color="#000000" fontSize="10">
      <text lang="ger" width="371" fontFamily="Arial" fontSize="10">
        <content>
          <p>Abtasten des Verlaufs von Q und M an \[REGION[089d320577c94edfa896b82d27113706]]\ Punkten</p>
        </content>
        <regions>
          <region id="089d320577c94edfa896b82d27113706" left="235" top="0" width="50" height="30" color="#000000" fontSize="10">
            <math>
              <input>
                <e type="operand">n.x</e>
                <e type="operand">1</e>
                <e type="operator" args="2">+</e>
              </input>
            </math>
          </region>
        </regions>
      </text>
    </region>
    <region left="387" top="2673" width="165" height="68" color="#000000">
      <picture>
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      </picture>
    </region>
    <region left="9" top="2700" width="68" height="30" color="#000000" fontSize="10">
      <math significantDigitsMode="false">
        <input>
          <e type="operand">n.x</e>
          <e type="operand">100</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="90" top="2700" width="129" height="34" color="#000000" fontSize="10">
      <math significantDigitsMode="false">
        <input>
          <e type="operand">j</e>
          <e type="operand">1</e>
          <e type="operand">n.x</e>
          <e type="operand">1</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</e>
          <e type="function" args="2">range</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="9" top="2727" width="112" height="47" color="#000000" fontSize="10">
      <math significantDigitsMode="false">
        <input>
          <e type="operand">x.s</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operand">L</e>
          <e type="operand">j</e>
          <e type="operand">1</e>
          <e type="operator" args="2">-</e>
          <e type="operand">n.x</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="135" top="2736" width="112" height="41" color="#000000" fontSize="10">
      <math significantDigitsMode="false">
        <input>
          <e type="operand">Q.s</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operand">x.s</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="function" args="1">Q</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="252" top="2736" width="112" height="41" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">M.s</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="operand">x.s</e>
          <e type="operand">j</e>
          <e type="function" args="2">el</e>
          <e type="function" args="1">M</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="9" top="2772" width="102" height="96" color="#000000" fontSize="10">
      <math matrixOptions="0,0,1,4">
        <input>
          <e type="operand">x.s</e>
        </input>
        <result action="numeric">
          <e type="operand">0</e>
          <e type="operand">0.02</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
          <e type="operand">0.04</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
          <e type="operand">0.06</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">mat</e>
        </result>
      </math>
    </region>
    <region left="135" top="2772" width="109" height="96" color="#000000" fontSize="10">
      <math matrixOptions="0,0,1,4">
        <input>
          <e type="operand">Q.s</e>
        </input>
        <contract>
          <e type="operand" style="unit">N</e>
        </contract>
        <result action="numeric">
          <e type="operand">0</e>
          <e type="operand">0.248</e>
          <e type="operand">0.248</e>
          <e type="operand">0.248</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">mat</e>
        </result>
      </math>
    </region>
    <region left="252" top="2772" width="138" height="96" color="#000000" fontSize="10">
      <math matrixOptions="0,0,1,4">
        <input>
          <e type="operand">M.s</e>
        </input>
        <contract>
          <e type="operand" style="unit">N</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
        </contract>
        <result action="numeric">
          <e type="operand">0</e>
          <e type="operand">0.00497</e>
          <e type="operand">0.00993</e>
          <e type="operand">0.0149</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">mat</e>
        </result>
      </math>
    </region>
    <region left="405" top="2772" width="59" height="96" color="#000000" fontSize="10">
      <math matrixOptions="0,0,1,4">
        <input>
          <e type="operand">j</e>
        </input>
        <result action="numeric">
          <e type="operand">1</e>
          <e type="operand">2</e>
          <e type="operand">3</e>
          <e type="operand">4</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" args="6">mat</e>
        </result>
      </math>
    </region>
    <region left="0" top="2871" width="332" height="23" color="#000000" fontSize="10">
      <text lang="ger" width="332" fontFamily="Arial" fontSize="10">
        <content>
          <p>Lineare Interpolation der abgetasteten Werte</p>
        </content>
      </text>
    </region>
    <region left="9" top="2898" width="245" height="49" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">x</e>
          <e type="function" args="1">Q.int</e>
          <e type="operand">x.s</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">/</e>
          <e type="operand">Q.s</e>
          <e type="operand" style="unit">N</e>
          <e type="operator" args="2">/</e>
          <e type="operand">x</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">/</e>
          <e type="function" args="3">linterp</e>
          <e type="operand" style="unit">N</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="342" top="2916" width="168" height="30" color="#000000" fontSize="10">
      <math>
        <input>
          <e type="operand">1.2</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
          <e type="function" args="1">Q.int</e>
        </input>
        <result action="numeric">
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      <math evaluate="false" significantDigitsMode="false">
        <input>
          <e type="operand">v.Q</e>
        </input>
        <result action="symbolic">
          <e type="operand">0</e>
          <e type="operand">0.103</e>
          <e type="operand" style="unit">kg</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
          <e type="operand" style="unit">s</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">0.103</e>
          <e type="operand" style="unit">kg</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
          <e type="operand" style="unit">s</e>
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          <e type="operator" args="2">*</e>
          <e type="operand">0.103</e>
          <e type="operand" style="unit">kg</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
          <e type="operand" style="unit">s</e>
          <e type="operand">2</e>
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          <e type="operator" args="2">*</e>
          <e type="operand">0.103</e>
          <e type="operand" style="unit">kg</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
          <e type="operand" style="unit">s</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">0.103</e>
          <e type="operand" style="unit">kg</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
          <e type="operand" style="unit">s</e>
          <e type="operand">2</e>
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          <e type="operator" args="2">*</e>
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          <e type="operand" style="unit">kg</e>
          <e type="operand" style="unit">m</e>
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          <e type="operand" style="unit">s</e>
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          <e type="operator" args="2">/</e>
          <e type="operator" args="2">*</e>
          <e type="operand">0.103</e>
          <e type="operand" style="unit">kg</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
          <e type="operand" style="unit">s</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">0.103</e>
          <e type="operand" style="unit">kg</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
          <e type="operand" style="unit">s</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">10</e>
          <e type="operand">1</e>
          <e type="function" args="12">mat</e>
        </result>
      </math>
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      <math evaluate="false" significantDigitsMode="false">
        <input>
          <e type="operand">x.0</e>
          <e type="function" args="1">Q</e>
        </input>
        <result action="symbolic">
          <e type="operand">0.001</e>
          <e type="operand" style="unit">N</e>
          <e type="operator" args="2">*</e>
        </result>
      </math>
    </region>
    <region left="99" top="4878" width="231" height="32" color="#000000" fontSize="10">
      <math evaluate="false" significantDigitsMode="false">
        <input>
          <e type="operand">v.X</e>
          <e type="operand">v.Q</e>
          <e type="operand">0.6</e>
          <e type="operand">L</e>
          <e type="operator" args="2">*</e>
          <e type="function" args="3">lspline</e>
        </input>
        <result action="symbolic">
          <e type="operand">0.007</e>
        </result>
      </math>
    </region>
    <region left="54" top="4941" width="128" height="32" color="#000000" fontSize="10">
      <math evaluate="false" significantDigitsMode="false">
        <input>
          <e type="operand">x.0</e>
          <e type="function" args="1">M</e>
        </input>
        <contract>
          <e type="operand" style="unit">N</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
        </contract>
        <result action="symbolic">
          <e type="operand">0.057</e>
        </result>
      </math>
    </region>
    <region left="0" top="4977" width="98" height="23" color="#000000" fontSize="10">
      <text lang="ger" fontFamily="Arial" fontSize="10">
        <content>
          <p>Datenstruktur </p>
        </content>
      </text>
    </region>
    <region left="0" top="4986" width="564" height="221" color="#000000" bgColor="#ffffff" fontSize="10">
      <snapshot evaluate="false" tag="QM" ID="11" tile="true" width="554" height="169" compact="false" showInViewer="false" tagAlignHz="Right" tagAlignVr="Bottom">
        <input>
          <e type="operand" style="string">QM</e>
        </input>
      </snapshot>
    </region>
    <region left="0" top="5013" width="55" height="170" color="#000000" fontSize="10">
      <math evaluate="false" significantDigitsMode="false" breaking="10">
        <input>
          <e type="operand">X</e>
          <e type="operand">x.1</e>
          <e type="operand">x.2</e>
          <e type="operand">x.3</e>
          <e type="operand">x.4</e>
          <e type="operand">x.5</e>
          <e type="operand">x.6</e>
          <e type="operand">6</e>
          <e type="operand">1</e>
          <e type="function" args="8">mat</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="72" top="5013" width="68" height="159" color="#000000" fontSize="10">
      <math evaluate="false" significantDigitsMode="false" breaking="13">
        <input>
          <e type="operand">F</e>
          <e type="operand">F.1</e>
          <e type="operator" args="1">-</e>
          <e type="operand">F.2</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">F.5</e>
          <e type="operator" args="1">-</e>
          <e type="operand">F.6</e>
          <e type="operator" args="1">-</e>
          <e type="operand">6</e>
          <e type="operand">1</e>
          <e type="function" args="8">mat</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region left="162" top="5013" width="55" height="147" color="#000000" fontSize="10">
      <math evaluate="false" significantDigitsMode="false" breaking="10">
        <input>
          <e type="operand">M</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">M.3</e>
          <e type="operand">M.4</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">6</e>
          <e type="operand">1</e>
          <e type="function" args="8">mat</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
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