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      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
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  <region id="1" left="108" top="189" width="122" height="42" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">M.Aq</e>
        <e type="operand">3</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operand" preserve="false" style="unit">q.0</e>
        <e type="operator" args="2">*</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
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  <region id="2" left="18" top="198" width="77" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">F</e>
        <e type="operand" preserve="false" style="unit">q.0</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="3" left="243" top="198" width="86" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">R.q</e>
        <e type="operand" preserve="false" style="unit">q.0</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
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    </math>
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  <region id="4" left="144" top="243" width="234" height="51" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">Gl</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">M.Aq</e>
        <e type="operand">F</e>
        <e type="operand" preserve="false" style="unit">l.0</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">F.B</e>
        <e type="operand">3</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">*</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="5" left="9" top="261" width="126" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Moment about A</p>
    </text>
  </region>
  <region id="6" left="9" top="297" width="127" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Vertical force</p>
    </text>
  </region>
  <region id="7" left="144" top="297" width="184" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">Gl</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">F</e>
        <e type="operand">R.q</e>
        <e type="operator" args="2">+</e>
        <e type="operand">F.A</e>
        <e type="operator" args="2">-</e>
        <e type="operand">F.B</e>
        <e type="operator" args="2">-</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="8" top="324" color="#000000" bgColor="#ffffff">
    <area collapsed="true">
      <title lang="ger">
        <p>LinSolve</p>
      </title>
      <title lang="eng">
        <p>LinSolve</p>
      </title>
    </area>
    <region id="9" left="27" top="351" width="698" height="406" color="#000000" bgColor="#ffffff" fontSize="10">
      <math optimize="2">
        <description active="true" position="Top" lang="ger">
          <p>Löst ein lineares Gleichungssystem, gegeben als Vektor von Gleichungen, nach allen
unbekannten Variablen auf. Für symbolische Ergebnisse definieren Sie bekannte Größen
mit eigenen Maßeinheiten.</p>
        </description>
        <description active="true" position="Top" lang="eng">
          <p>Solves a linear system, given as a vector of equations, for any unknown variable. 
Use custom units for parametric (symbolic) solutions.</p>
        </description>
        <input>
          <e type="operand">sys#</e>
          <e type="function" args="1">LinSolve</e>
          <e type="operand" style="string">subtract right hand sides of equations</e>
          <e type="operand">n#</e>
          <e type="operand">sys#</e>
          <e type="function" preserve="true" args="1">length</e>
          <e type="operator" args="2">:</e>
          <e type="operand">i#</e>
          <e type="operand">1</e>
          <e type="operand">n#</e>
          <e type="function" preserve="true" args="2">range</e>
          <e type="operand">Nsys#</e>
          <e type="operand">i#</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">sys#</e>
          <e type="operand">i#</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="function" preserve="true" args="1">num2str</e>
          <e type="operand" style="string">≡</e>
          <e type="operand" style="string">-(</e>
          <e type="function" preserve="true" args="3">strrep</e>
          <e type="operand" style="string">)</e>
          <e type="function" preserve="true" args="2">concat</e>
          <e type="function" preserve="true" args="1">str2num</e>
          <e type="operator" args="2">:</e>
          <e type="operand">sys#</e>
          <e type="operand">i#</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="function" preserve="true" args="1">num2str</e>
          <e type="function" preserve="true" args="1">trace</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="4">line</e>
          <e type="function" preserve="true" args="3">for</e>
          <e type="operand" style="string">Compute Jacobi matrix and it's determinant</e>
          <e type="operand">u#</e>
          <e type="operand">Nsys#</e>
          <e type="function" preserve="true" args="1">Unknowns</e>
          <e type="operator" args="2">:</e>
          <e type="operand">J#</e>
          <e type="operand">Nsys#</e>
          <e type="operand">u#</e>
          <e type="function" preserve="true" args="2">Jacob</e>
          <e type="operator" args="2">:</e>
          <e type="operand">d#</e>
          <e type="operand">J#</e>
          <e type="function" preserve="true" args="1">det</e>
          <e type="operator" args="2">:</e>
          <e type="operand" style="string">compute right hand side of linear system</e>
          <e type="operand">i#</e>
          <e type="operand">1</e>
          <e type="operand">n#</e>
          <e type="function" preserve="true" args="2">range</e>
          <e type="operand">RHS#</e>
          <e type="operand">i#</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">Nsys#</e>
          <e type="operand">i#</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operator" args="1">-</e>
          <e type="operand">J#</e>
          <e type="operand">i#</e>
          <e type="operand">j#</e>
          <e type="function" preserve="true" args="3">el</e>
          <e type="operand">u#</e>
          <e type="operand">j#</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operator" args="2">*</e>
          <e type="bracket">(</e>
          <e type="operand">j#</e>
          <e type="operand">1</e>
          <e type="operand">n#</e>
          <e type="function" preserve="true" args="4">sum</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">:</e>
          <e type="function" preserve="true" args="3">for</e>
          <e type="operand" style="string">multiply inverse jacobi matrix by rhs</e>
          <e type="operand">i#</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">i#</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">J#</e>
          <e type="operand">j#</e>
          <e type="operand">i#</e>
          <e type="function" preserve="true" args="3">alg</e>
          <e type="operand">d#</e>
          <e type="operator" args="2">/</e>
          <e type="operand">RHS#</e>
          <e type="operand">j#</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operator" args="2">*</e>
          <e type="bracket">(</e>
          <e type="operand">j#</e>
          <e type="operand">1</e>
          <e type="operand">n#</e>
          <e type="function" preserve="true" args="4">sum</e>
          <e type="operator" args="2">:</e>
          <e type="function" preserve="true" args="3">for</e>
          <e type="operand">r#</e>
          <e type="operand">12</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="14">line</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="10" left="540" top="585" width="96" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">RHS</e>
          <e type="operand">J</e>
          <e type="operand">u</e>
          <e type="operator" args="2">*</e>
          <e type="operand">G</e>
          <e type="operator" args="2">-</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="11" left="540" top="675" width="73" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
      <math optimize="2">
        <input>
          <e type="operand">J</e>
          <e type="operand">1</e>
          <e type="operator" args="1">-</e>
          <e type="operator" args="2">^</e>
          <e type="operand">RHS</e>
          <e type="operator" args="2">*</e>
        </input>
      </math>
    </region>
    <region id="12" left="18" top="819" width="519" height="50" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <description active="true" position="Top" lang="ger">
          <p>Residual(sys): Berechnet den Residuenvektor des Gleichungssystems sys. Die Lösung muss den 
Unbekannten schon zugewiesen sein. Geeignet zur Prüfung von Lösungsverfahren mit eingebetteter
Ergebniszuweisung.</p>
        </description>
        <description active="true" position="Top" lang="eng">
          <p>Residual(sys): Computes the residual vector of system of equations sys. All variables must
be assigned. Suitable to check solutions with embedded assignment.</p>
        </description>
        <input>
          <e type="operand">sys#</e>
          <e type="function" args="1">Residual</e>
          <e type="operand" style="string">subtract right hand sides of equations</e>
          <e type="operand">Nsys#</e>
          <e type="operand">sys#</e>
          <e type="function" preserve="true" args="1">num2str</e>
          <e type="operand" style="string">≡</e>
          <e type="operand" style="string">-</e>
          <e type="function" preserve="true" args="3">strrep</e>
          <e type="function" preserve="true" args="1">str2num</e>
          <e type="operator" args="2">:</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="4">line</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="13" left="18" top="963" width="608" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <description active="true" position="Top" lang="ger">
          <p>Residual(sys,L): Berechnet den Residuenvektor des Gleichungssystems sys für die Lösung L, die
den Unbekannten nicht vorab zugewiesen wurde. Dies erfolgt innerhalb der Funktion. Geeignet zur 
Prüfung von Lösungsverfahren ohne eingebettete Ergebniszuweisung.</p>
        </description>
        <description active="true" position="Top" lang="eng">
          <p>Residual(sys,L): Computes the residual vector of system of equations sys for a given solution L. 
The solution is assigned to the unknowns and the residual is evaluated. Suitable to check 
solutions without embedded assignment.</p>
        </description>
        <input>
          <e type="operand">sys#</e>
          <e type="operand">L#</e>
          <e type="function" args="2">Residual</e>
          <e type="operand" style="string">subtract right hand sides of equations</e>
          <e type="operand">n#</e>
          <e type="operand">sys#</e>
          <e type="function" preserve="true" args="1">length</e>
          <e type="operator" args="2">:</e>
          <e type="operand">u#</e>
          <e type="operand">sys#</e>
          <e type="function" preserve="true" args="1">Unknowns</e>
          <e type="operator" args="2">:</e>
          <e type="operand" style="string">Assign solution to unknowns</e>
          <e type="operand">i#</e>
          <e type="operand">1</e>
          <e type="operand">n#</e>
          <e type="function" preserve="true" args="2">range</e>
          <e type="operand">u#</e>
          <e type="operand">i#</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="function" preserve="true" args="1">num2str</e>
          <e type="operand" style="string">:</e>
          <e type="operand">L#</e>
          <e type="operand">i#</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="function" preserve="true" args="1">num2str</e>
          <e type="function" preserve="true" args="3">concat</e>
          <e type="function" preserve="true" args="1">str2num</e>
          <e type="operand">1</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="3">line</e>
          <e type="function" preserve="true" args="3">for</e>
          <e type="operand">Nsys#</e>
          <e type="operand">sys#</e>
          <e type="function" preserve="true" args="1">num2str</e>
          <e type="operand" style="string">≡</e>
          <e type="operand" style="string">-</e>
          <e type="function" preserve="true" args="3">strrep</e>
          <e type="function" preserve="true" args="1">str2num</e>
          <e type="operator" args="2">:</e>
          <e type="operand">6</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="8">line</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="14" top="1179" color="#000000" bgColor="#ffffff">
      <area terminator="true" />
    </region>
  </region>
  <region id="15" left="18" top="1215" width="431" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p underline="true">Expression for the residual of the unsolved system:</p>
    </text>
  </region>
  <region id="16" left="18" top="1251" width="277" height="81" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Gl</e>
        <e type="function" args="1">Residual</e>
      </input>
      <result action="symbolic">
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operand">4</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operator" args="2">*</e>
        <e type="operand" preserve="false" style="unit">q.0</e>
        <e type="operator" args="2">*</e>
        <e type="operand">3</e>
        <e type="operand">F.B</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operand">F.A</e>
        <e type="operand">F.B</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="operand" preserve="false" style="unit">q.0</e>
        <e type="operator" args="2">*</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
      </result>
    </math>
  </region>
  <region id="17" left="18" top="1341" width="529" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p underline="true">Check of solutions without embedded assignment with Residual(2)</p>
    </text>
  </region>
  <region id="18" left="18" top="1368" width="366" height="69" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Gl</e>
        <e type="operand">Gl</e>
        <e type="operand">F</e>
        <e type="operand">F</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">FindRoot</e>
        <e type="function" args="2">Residual</e>
      </input>
      <result action="numeric">
        <e type="operand">0.5</e>
        <e type="operand" preserve="false" style="unit">q.0</e>
        <e type="operator" args="2">*</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">0.5</e>
        <e type="operand" preserve="false" style="unit">q.0</e>
        <e type="operator" args="2">*</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
      </result>
    </math>
  </region>
  <region id="19" left="405" top="1386" width="167" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Should be all zeros</p>
    </text>
  </region>
  <region id="20" left="18" top="1440" width="439" height="78" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Gl</e>
        <e type="operand">Gl</e>
        <e type="operand">F</e>
        <e type="operand">F</e>
        <e type="operator" args="1">-</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">FindRoot</e>
        <e type="function" args="2">Residual</e>
      </input>
      <result action="numeric">
        <e type="operand">5</e>
        <e type="operand">10</e>
        <e type="operand">15</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand" preserve="false" style="unit">q.0</e>
        <e type="operator" args="2">*</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">3.1666</e>
        <e type="operand">10</e>
        <e type="operand">15</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand" preserve="false" style="unit">q.0</e>
        <e type="operator" args="2">*</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
      </result>
    </math>
  </region>
  <region id="21" left="18" top="1521" width="258" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Gl</e>
        <e type="operand">Gl</e>
        <e type="function" args="1">LinSolve</e>
        <e type="function" args="2">Residual</e>
      </input>
      <result action="numeric">
        <e type="operand">0</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>
      </result>
    </math>
  </region>
  <region id="22" left="18" top="1566" width="504" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p underline="true">Check of solutions with embedded assignment with Residual(1)</p>
    </text>
  </region>
  <region id="23" left="18" top="1593" width="157" height="60" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Gl</e>
        <e type="function" preserve="true" args="1">Unknowns</e>
      </input>
      <result action="symbolic">
        <e type="operand">F.A</e>
        <e type="operand">F.B</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
      </result>
    </math>
  </region>
  <region id="24" left="180" top="1593" width="274" height="62" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Gl</e>
        <e type="operand">F.A</e>
        <e type="operand">F</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">F.B</e>
        <e type="operand">F</e>
        <e type="operator" args="2">≡</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">FindRoot</e>
      </input>
      <result action="numeric">
        <e type="operand">0.5</e>
        <e type="operand" preserve="false" style="unit">q.0</e>
        <e type="operator" args="2">*</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operand" preserve="false" style="unit">q.0</e>
        <e type="operator" args="2">*</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
      </result>
    </math>
  </region>
  <region id="25" left="450" top="1593" width="223" height="69" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Gl</e>
        <e type="function" args="1">Residual</e>
      </input>
      <result action="numeric">
        <e type="operand">0.5</e>
        <e type="operand" preserve="false" style="unit">q.0</e>
        <e type="operator" args="2">*</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">0.5</e>
        <e type="operand" preserve="false" style="unit">q.0</e>
        <e type="operator" args="2">*</e>
        <e type="operand" preserve="false" style="unit">l.0</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
      </result>
    </math>
  </region>
</regions>