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      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
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  <region id="0" left="18" top="18" width="340" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p bold="true">Beispiel: Lineare Optimierung mit Maxima</p>
    </text>
    <text lang="eng">
      <p bold="true">Example: Linear optimization with Maxima</p>
    </text>
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    <text lang="ger">
      <p href="Section Math Maxima.sm">Symbolische Mathematik mit Maxima</p>
    </text>
    <text lang="eng">
      <p href="Section Math Maxima.sm">Symbolic math with Maxima</p>
    </text>
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      <p href="Plugin Maxima.sm">Maxima</p>
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      <p href="Examples.sm">Beispiele</p>
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    <text lang="eng">
      <p href="Examples.sm">Examples</p>
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    <text lang="ger">
      <p href="contents.sm">Inhalt</p>
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    <text lang="eng">
      <p href="contents.sm">Contents</p>
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        <p>example on computermathematik.info</p>
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        <e type="operand" style="string">http://www.mathe-online.at/materialien/Johann.Weilharter/files/wxMaxima1/DX1007_F_Aufgaben_zur_linearen_Optimierung.pdf</e>
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    <math>
      <input>
        <e type="operand" style="string">restart</e>
        <e type="function" args="1">MaximaControl</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">Restart complete.</e>
      </result>
    </math>
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    <math optimize="2">
      <input>
        <e type="operand">msg</e>
        <e type="operand">simplex</e>
        <e type="function" args="1">load</e>
        <e type="function" args="1">Maxima</e>
        <e type="operator" args="2">:</e>
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  <region id="8" left="18" top="216" width="678" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Das Paket "simplex" definiert Funktionen für die lineare Optimierung mit dem Simplex-Verfahren. </p>
    </text>
    <text lang="eng">
      <p>The package "simplex" defines functions for constrained linear optimization usingthe simplex algorithm.</p>
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    <math>
      <input>
        <e type="operand">objective_function</e>
        <e type="operand">constraints</e>
        <e type="function" args="2">maximize_lp</e>
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    </math>
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    <math>
      <input>
        <e type="operand">objective_function</e>
        <e type="operand">constraints</e>
        <e type="function" args="2">minimize_lp</e>
      </input>
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  <region id="11" left="18" top="351" width="86" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p bold="true">Beispiel 1:</p>
    </text>
    <text lang="eng">
      <p bold="true">Example 1</p>
    </text>
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    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" args="2">Q</e>
        <e type="operand">4</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">y</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
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    <math>
      <input>
        <e type="operand">NB</e>
        <e type="operand">x</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">1</e>
        <e type="operator" args="2">≤</e>
        <e type="operand">5</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>
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        <e type="operand">5</e>
        <e type="operator" args="2">≥</e>
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="operand">y</e>
        <e type="operator" args="2">*</e>
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        <e type="operator" args="2">≤</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" args="5">sys</e>
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    <text lang="ger">
      <p underline="true">Darstellung des zulässigen Bereichs durch 3D-Funktionsdarstellung</p>
    </text>
    <text lang="eng">
      <p underline="true">Plot of the domain using 3D explicit function plotting</p>
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      <plotstore>
        <PlotStore xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xsd="http://www.w3.org/2001/XMLSchema" xmlns="">
          <commandList>
            <string>terminal=pngcairo</string>
            <string>file_name="C:/FHB/Software/SMath/SMath 98.6484/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/GnuPlot/cwcge3rg"</string>
            <string>dimensions=[250,250]</string>
            <string>font="Arial"</string>
            <string>font_size=8</string>
            <string>enhanced3d = true</string>
            <string>palette =[black,blue,red,yellow]</string>
            <string>xu_grid=100</string>
            <string>yv_grid=100</string>
            <string>xlabel="x"</string>
            <string>ylabel="y"</string>
            <string>zlabel="z"</string>
          </commandList>
          <prambleList>
            <string>"set term pngcairo font ',8' enhanced size 250, 250"</string>
            <string>"set encoding utf8"</string>
            <string>"set view map"</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>base</contourType>
          <contourLevels>5</contourLevels>
          <pm3d>Enable</pm3d>
          <pm3dpalette>[black,blue,red,yellow]</pm3dpalette>
          <gridXu>100</gridXu>
          <gridYv>100</gridYv>
          <gridState>Custom</gridState>
          <width>250</width>
          <height>250</height>
          <pictureSizeState>Interactive</pictureSizeState>
          <filename>C:/FHB/Software/SMath/SMath 98.6484/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/GnuPlot/cwcge3rg</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>-5</xMinRange>
          <xMaxRange>5</xMaxRange>
          <yMinRange>-5</yMinRange>
          <yMaxRange>5</yMaxRange>
          <zMinRange>-5</zMinRange>
          <zMaxRange>5</zMaxRange>
          <xRangeS>Disable</xRangeS>
          <yRangeS>Disable</yRangeS>
          <zRangeS>Disable</zRangeS>
          <xGrid>Disable</xGrid>
          <yGrid>Disable</yGrid>
          <zGrid>Disable</zGrid>
          <xLogarithmic>Disable</xLogarithmic>
          <yLogarithmic>Disable</yLogarithmic>
          <zLogarithmic>Disable</zLogarithmic>
          <xLogBase>10</xLogBase>
          <yLogBase>10</yLogBase>
          <zLogBase>10</zLogBase>
          <azimuth>60</azimuth>
          <zenith>60</zenith>
          <scalAzimuth>-2</scalAzimuth>
          <scalZenith>1</scalZenith>
          <view>MapView</view>
          <mouseRedirecting>Disable</mouseRedirecting>
          <varNameMouseX>MouseX5</varNameMouseX>
          <varNameMouseY>MouseY5</varNameMouseY>
          <varNameMouseWheel>MouseW5</varNameMouseWheel>
          <viewRedirecting>Disable</viewRedirecting>
          <varNameAzimuth>Azimuth5</varNameAzimuth>
          <varNameZenith>Zenith5</varNameZenith>
          <xRedirecting>Disable</xRedirecting>
          <varNameXmin>MinX5</varNameXmin>
          <varNameXmax>MaxX5</varNameXmax>
          <yRedirecting>Disable</yRedirecting>
          <varNameYmin>MinY5</varNameYmin>
          <varNameYmax>MaxY5</varNameYmax>
          <zRedirecting>Disable</zRedirecting>
          <varNameZmin>MinZ5</varNameZmin>
          <varNameZmax>MaxZ5</varNameZmax>
          <option>none;</option>
        </PlotStore>
      </plotstore>
      <input>
        <e type="operand">user_preamble</e>
        <e type="operand" style="string">set tmargin at screen 0.9;set bmargin at screen 0.2</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" args="2">Q</e>
        <e type="operand">NB</e>
        <e type="operand">1</e>
        <e type="function" args="2">el</e>
        <e type="bracket">(</e>
        <e type="operand">NB</e>
        <e type="operand">2</e>
        <e type="function" args="2">el</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">&amp;</e>
        <e type="operand">NB</e>
        <e type="operand">3</e>
        <e type="function" args="2">el</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">&amp;</e>
        <e type="function" args="1">charfun</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operand">6</e>
        <e type="operator" args="1">-</e>
        <e type="operand">6</e>
        <e type="operand">y</e>
        <e type="operand">6</e>
        <e type="operator" args="1">-</e>
        <e type="operand">6</e>
        <e type="function" args="7">explicit</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" args="4">sys</e>
      </input>
    </maximaplugin>
  </region>
  <region id="16" left="297" top="486" width="241" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>charfun() konvertiert true in 1 und false in 0</p>
    </text>
    <text lang="eng">
      <p>charfun() converts true to 1and false to 0</p>
    </text>
  </region>
  <region id="17" left="18" top="810" width="363" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p underline="true">Darstellung des zulässigen Bereichs mit dem 2D-Objekt region()</p>
    </text>
    <text lang="eng">
      <p underline="true">Plot of the domain using 2D region() object</p>
    </text>
  </region>
  <region id="18" left="18" top="837" width="260" height="258" color="#000000" bgColor="#ffffff" fontSize="10">
    <maximaplugin>
      <ImageFile FileName="phyduore.png" 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</ImageFile>
      <plotstore>
        <PlotStore xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xsd="http://www.w3.org/2001/XMLSchema" xmlns="">
          <commandList>
            <string>terminal=pngcairo</string>
            <string>file_name="C:/FHB/Software/SMath/SMath 98.6484/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/GnuPlot/phyduore"</string>
            <string>dimensions=[250,250]</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>zrange=[-5,5]</string>
          </commandList>
          <prambleList>
            <string>"set term pngcairo font ',8' enhanced size 250, 250"</string>
            <string>"set encoding utf8"</string>
            <string>"set grid xtics mxtics"</string>
            <string>"set grid ytics mytics"</string>
          </prambleList>
          <plotType>plot2D</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>250</width>
          <height>250</height>
          <pictureSizeState>Interactive</pictureSizeState>
          <filename>C:/FHB/Software/SMath/SMath 98.6484/extensions/plugins/44011c1e-5d0d-4533-8e68-e32b5badce41/GnuPlot/phyduore</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>-5</xMinRange>
          <xMaxRange>5</xMaxRange>
          <yMinRange>-5</yMinRange>
          <yMaxRange>5</yMaxRange>
          <zMinRange>-5</zMinRange>
          <zMaxRange>5</zMaxRange>
          <xRangeS>Disable</xRangeS>
          <yRangeS>Disable</yRangeS>
          <zRangeS>Interactive</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>60</azimuth>
          <zenith>60</zenith>
          <scalAzimuth>1</scalAzimuth>
          <scalZenith>1</scalZenith>
          <view>Interactive</view>
          <mouseRedirecting>Disable</mouseRedirecting>
          <varNameMouseX>MouseX7</varNameMouseX>
          <varNameMouseY>MouseY7</varNameMouseY>
          <varNameMouseWheel>MouseW7</varNameMouseWheel>
          <viewRedirecting>Disable</viewRedirecting>
          <varNameAzimuth>Azimuth7</varNameAzimuth>
          <varNameZenith>Zenith7</varNameZenith>
          <xRedirecting>Disable</xRedirecting>
          <varNameXmin>MinX7</varNameXmin>
          <varNameXmax>MaxX7</varNameXmax>
          <yRedirecting>Disable</yRedirecting>
          <varNameYmin>MinY7</varNameYmin>
          <varNameYmax>MaxY7</varNameYmax>
          <zRedirecting>Disable</zRedirecting>
          <varNameZmin>MinZ7</varNameZmin>
          <varNameZmax>MaxZ7</varNameZmax>
          <option>none;</option>
        </PlotStore>
      </plotstore>
      <input>
        <e type="operand">x_voxel</e>
        <e type="operand">100</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">y_voxel</e>
        <e type="operand">100</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">NB</e>
        <e type="operand">1</e>
        <e type="function" args="2">el</e>
        <e type="bracket">(</e>
        <e type="operand">NB</e>
        <e type="operand">2</e>
        <e type="function" args="2">el</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">&amp;</e>
        <e type="operand">NB</e>
        <e type="operand">3</e>
        <e type="function" args="2">el</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">&amp;</e>
        <e type="operand">x</e>
        <e type="operand">6</e>
        <e type="operator" args="1">-</e>
        <e type="operand">6</e>
        <e type="operand">y</e>
        <e type="operand">6</e>
        <e type="operator" args="1">-</e>
        <e type="operand">6</e>
        <e type="function" args="7">region</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" args="5">sys</e>
      </input>
    </maximaplugin>
  </region>
  <region id="19" left="18" top="1170" width="274" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p underline="true">Extremwertsuche im zulässigen Bereich</p>
    </text>
    <text lang="eng">
      <p underline="true">Search for extrema in the domain</p>
    </text>
  </region>
  <region id="20" left="18" top="1197" width="378" height="66" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">L.max</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" args="2">Q</e>
        <e type="operand">NB</e>
        <e type="function" args="2">maximize_lp</e>
        <e type="function" args="1">Maxima</e>
        <e type="operator" args="2">:</e>
      </input>
      <result action="none">
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">y</e>
        <e type="operand">5</e>
        <e type="operator" args="1">-</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="operator" args="2">≡</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" args="4">sys</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" args="4">sys</e>
      </result>
    </math>
  </region>
  <region id="21" left="18" top="1260" width="378" height="66" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">L.min</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" args="2">Q</e>
        <e type="operand">NB</e>
        <e type="function" args="2">minimize_lp</e>
        <e type="function" args="1">Maxima</e>
        <e type="operator" args="2">:</e>
      </input>
      <result action="none">
        <e type="operand">22</e>
        <e type="operator" args="1">-</e>
        <e type="operand">y</e>
        <e type="operand">2</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">x</e>
        <e type="operand">5</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" args="4">sys</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" args="4">sys</e>
      </result>
    </math>
  </region>
  <region id="22" left="18" top="1323" width="387" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Die Ausgabe kann für die Zuweisung des Ergebnisses auf die Variablen verwendet werden:</p>
    </text>
    <text lang="eng">
      <p>The output can be used to assign the values tothe variables:</p>
    </text>
  </region>
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        <e type="operand">L.min</e>
        <e type="function" args="1">Assign</e>
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      <result action="numeric">
        <e type="operand">22</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operator" args="1">-</e>
        <e type="operand">5</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" args="5">sys</e>
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    <math>
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        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" args="2">Q</e>
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      <result action="numeric">
        <e type="operand">22</e>
        <e type="operator" args="1">-</e>
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      <p italic="true">$Author: mkraska $$Date: 2013-10-10 03:03:39 +0200 (Do, 10. Okt 2013) $ </p>
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