<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio Desktop" version="0.96.4909.6802"?>
<regions>
  <settings>
    <identity>
      <id>be8ed228-7b9f-4d88-9521-f6039e697cd5</id>
      <revision>53</revision>
    </identity>
    <calculation>
      <precision>4</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="true" printAreas="true" simpleEqualsOnly="false" printBackgroundImages="true">
      <paper id="9" orientation="Portrait" width="827" height="1169" />
      <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>
      <backgrounds />
    </pageModel>
    <dependences>
      <assembly name="SMath Studio Desktop" version="0.96.4909.6802" guid="a37cba83-b69c-4c71-9992-55ff666763bd" />
      <assembly name="Math Region" version="0.96.4909.6802" guid="02f1ab51-215b-466e-a74d-5d8b1cf85e8d" />
      <assembly name="Text Region" version="1.9.4909.6785" guid="485d28c5-349a-48b6-93be-12a35a1c1e39" />
      <assembly name="Special Functions" version="1.10.4909.6779" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
      <assembly name="3D Plot Region (Chart3DLib)" version="0.1.4972.7309" guid="2427d808-1e5e-4ae0-88bf-bc271664a3ab" />
      <assembly name="Nonlinear Solvers" version="1.0.9999.5" guid="618b7e96-330a-406a-b055-9e577672f0b8" />
      <assembly name="Custom Functions" version="1.0.4902.41872" guid="18dadffd-79a3-4cf9-aee1-d66deb0ea720" />
    </dependences>
  </settings>
  <region id="0" left="18" top="9" width="138" height="26" color="#000000" bgColor="#ffff80" fontSize="10">
    <math fractionType="auto" decimalPlaces="1">
      <input>
        <e type="operand">f</e>
        <e type="operand">S</e>
        <e type="function" preserve="true" args="2">NelderMead</e>
      </input>
    </math>
  </region>
  <region id="1" left="18" top="36" width="171" height="34" color="#000000" bgColor="#ffff80" fontSize="10">
    <math fractionType="auto" decimalPlaces="1">
      <input>
        <e type="operand">f</e>
        <e type="operand">S</e>
        <e type="operand">ε.f</e>
        <e type="function" preserve="true" args="3">NelderMead</e>
      </input>
    </math>
  </region>
  <region id="2" left="18" top="63" width="243" height="34" color="#000000" bgColor="#ffff80" fontSize="10">
    <math fractionType="auto" decimalPlaces="1">
      <input>
        <e type="operand">f</e>
        <e type="operand">S</e>
        <e type="operand">ε.f</e>
        <e type="operand">α</e>
        <e type="operand">β</e>
        <e type="operand">γ</e>
        <e type="function" preserve="true" args="6">NelderMead</e>
      </input>
    </math>
  </region>
  <region id="3" left="18" top="90" width="613" height="34" color="#000000" bgColor="#ffff80" fontSize="10">
    <math fractionType="auto" decimalPlaces="1">
      <input>
        <e type="operand">f</e>
        <e type="operand">S</e>
        <e type="operand">ε.f</e>
        <e type="operand">α</e>
        <e type="operand">β</e>
        <e type="operand">γ</e>
        <e type="operand">n.iters</e>
        <e type="operand">show.iters</e>
        <e type="operand">show.summary</e>
        <e type="operand">save.summary</e>
        <e type="function" preserve="true" args="10">NelderMead</e>
      </input>
    </math>
  </region>
  <region id="4" left="18" top="135" width="126" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Part of plugin</p>
    </text>
    <text lang="ger">
      <p>Bestandteil des Plugins</p>
    </text>
  </region>
  <region id="5" left="234" top="135" width="152" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Plugin Nonlinear Solvers.sm">Nonlinear Solvers</p>
    </text>
  </region>
  <region id="6" left="18" top="171" width="439" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Nonlinear optimizer using Downhill-Simplex procedure</p>
    </text>
    <text lang="ger">
      <p>Nichtlinearer Optimierer (Minimierer) nach dem Simplexverfahren</p>
    </text>
  </region>
  <region id="7" left="18" top="207" width="20" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">f</e>
      </input>
    </math>
  </region>
  <region id="8" left="99" top="207" width="9" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p />
    </text>
  </region>
  <region id="9" left="135" top="207" width="176" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>function to minimize</p>
    </text>
    <text lang="ger">
      <p>Zielfunktion</p>
    </text>
  </region>
  <region id="10" left="18" top="234" width="20" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">S</e>
      </input>
    </math>
  </region>
  <region id="11" left="135" top="234" width="468" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>n-dimensional initial guess or initial simplex vertices 
(row vector wit n+1 n-dimensional column vectors) </p>
    </text>
    <text lang="ger">
      <p>n-dimensionaler Startwert oder Start-Simplex 
(Zeilenvektor mit n+1 n-dimensionalen Startwerten)</p>
    </text>
  </region>
  <region id="12" left="18" top="279" width="29" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">ε.f</e>
      </input>
    </math>
  </region>
  <region id="13" left="135" top="279" width="524" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>tolerance for the standard deviation of the function values at 
simplex vertices</p>
    </text>
    <text lang="ger">
      <p>Toleranz für die Standardabweichung der Funktionswerte des Simplex</p>
    </text>
  </region>
  <region id="14" left="18" top="324" width="20" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">α</e>
      </input>
    </math>
  </region>
  <region id="15" left="135" top="324" width="332" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>reflection coefficient (α&gt;0, default 1)</p>
    </text>
    <text lang="ger">
      <p>Reflexionskoeffizient (a&gt;0, Voreinstellung 1)</p>
    </text>
  </region>
  <region id="16" left="18" top="351" width="20" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">β</e>
      </input>
    </math>
  </region>
  <region id="17" left="135" top="351" width="375" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>contraction coefficient (0&lt;β&lt;1, default 0,5)</p>
    </text>
    <text lang="ger">
      <p>Kontraktionskoeffizient (0&lt;β&lt;1, Voreinstellung 0,5)</p>
    </text>
  </region>
  <region id="18" left="18" top="378" width="20" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">γ</e>
      </input>
    </math>
  </region>
  <region id="19" left="135" top="378" width="324" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>expansion coefficient (γ&gt;1, default 2)</p>
    </text>
    <text lang="ger">
      <p>Expansionskoeffizient (γ&gt;1, Voreinstellung 2)</p>
    </text>
  </region>
  <region id="20" left="18" top="405" width="62" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">n.iters</e>
      </input>
    </math>
  </region>
  <region id="21" left="135" top="405" width="356" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>maximum number of iterations (default 100)</p>
    </text>
    <text lang="ger">
      <p>Maximale Zahl der Iterationen</p>
    </text>
  </region>
  <region id="22" left="18" top="441" width="86" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">show.iters</e>
      </input>
    </math>
  </region>
  <region id="23" left="135" top="441" width="323" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>flag for output of required iterations</p>
    </text>
    <text lang="ger">
      <p>Schalter für Anzeige der Iterationen</p>
    </text>
  </region>
  <region id="24" left="18" top="468" width="103" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">show.summary</e>
      </input>
    </math>
  </region>
  <region id="25" left="135" top="468" width="229" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>flag for output of summary </p>
    </text>
    <text lang="ger">
      <p>Schalter für Anzeige der Verlaufsdaten</p>
    </text>
  </region>
  <region id="26" left="18" top="495" width="103" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">save.Summary</e>
      </input>
    </math>
  </region>
  <region id="27" left="135" top="495" width="299" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>flag for saving summary to csv file</p>
    </text>
  </region>
  <region id="28" top="540" color="#000000" bgColor="#ffffff">
    <area collapsed="false">
      <title lang="eng">
        <p>Example 1</p>
      </title>
      <title lang="ger">
        <p>Beispiel 1</p>
      </title>
    </area>
    <region id="29" left="18" top="558" width="135" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p>Target function</p>
      </text>
      <text lang="ger">
        <p>Zielfunktion </p>
      </text>
    </region>
    <region id="30" left="18" top="576" width="243" height="52" color="#000000" bgColor="#ffffff" fontSize="10">
      <math fractionType="auto" decimalPlaces="1">
        <input>
          <e type="operand">x</e>
          <e type="function" args="1">f</e>
          <e type="operand">1</e>
          <e type="operand">x</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operand">10</e>
          <e type="operand">x</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">x</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</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="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="31" left="288" top="585" width="116" height="46" 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="operand">2</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="4">mat</e>
          <e type="function" args="1">f</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="32" left="414" top="585" width="257" height="242" color="#000000" bgColor="#ffffff" fontSize="10">
      <plot3d width="247" height="234">
        <input>
          <e type="operand">F</e>
        </input>
      </plot3d>
    </region>
    <region id="33" left="18" top="630" width="356" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p>Compute grid of values to examine function</p>
      </text>
      <text lang="ger">
        <p>Werteraster berechnen</p>
      </text>
    </region>
    <region id="34" left="18" top="675" width="149" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">v</e>
          <e type="operand">1.5</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1.5</e>
          <e type="operand">1</e>
          <e type="operator" args="1">-</e>
          <e type="function" preserve="true" args="3">range</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="35" left="18" top="693" width="186" height="98" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">i</e>
          <e type="operand">1</e>
          <e type="operand">v</e>
          <e type="function" preserve="true" args="1">length</e>
          <e type="function" preserve="true" args="2">range</e>
          <e type="operand">j</e>
          <e type="operand">1</e>
          <e type="operand">v</e>
          <e type="function" preserve="true" args="1">length</e>
          <e type="function" preserve="true" args="2">range</e>
          <e type="operand">F</e>
          <e type="operand">i</e>
          <e type="operand">j</e>
          <e type="function" preserve="true" args="3">el</e>
          <e type="operand">v</e>
          <e type="operand">i</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">v</e>
          <e type="operand">j</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="4">mat</e>
          <e type="function" args="1">f</e>
          <e type="operator" args="2">:</e>
          <e type="function" preserve="true" args="3">for</e>
          <e type="function" preserve="true" args="3">for</e>
        </input>
      </math>
    </region>
    <region id="36" left="99" top="792" width="265" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">v</e>
          <e type="function" preserve="true" args="1">transpose</e>
        </input>
        <result action="numeric">
          <e type="operand">1.5</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.5</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0</e>
          <e type="operand">0.5</e>
          <e type="operand">1</e>
          <e type="operand">1.5</e>
          <e type="operand">1</e>
          <e type="operand">7</e>
          <e type="function" preserve="true" args="9">mat</e>
        </result>
      </math>
    </region>
    <region id="37" left="18" top="828" width="88" height="134" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">v</e>
        </input>
        <result action="numeric">
          <e type="operand">1.5</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.5</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0</e>
          <e type="operand">0.5</e>
          <e type="operand">1</e>
          <e type="operand">1.5</e>
          <e type="operand">7</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="9">mat</e>
        </result>
      </math>
    </region>
    <region id="38" left="117" top="828" width="232" height="134" color="#000000" bgColor="#ffffff" fontSize="10">
      <math decimalPlaces="0">
        <input>
          <e type="operand">F</e>
        </input>
        <result action="numeric">
          <e type="operand">147</e>
          <e type="operand">112</e>
          <e type="operand">82</e>
          <e type="operand">57</e>
          <e type="operand">37</e>
          <e type="operand">22</e>
          <e type="operand">12</e>
          <e type="operand">66</e>
          <e type="operand">44</e>
          <e type="operand">26</e>
          <e type="operand">14</e>
          <e type="operand">6</e>
          <e type="operand">4</e>
          <e type="operand">6</e>
          <e type="operand">33</e>
          <e type="operand">18</e>
          <e type="operand">8</e>
          <e type="operand">3</e>
          <e type="operand">3</e>
          <e type="operand">8</e>
          <e type="operand">18</e>
          <e type="operand">24</e>
          <e type="operand">11</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="operand">4</e>
          <e type="operand">11</e>
          <e type="operand">24</e>
          <e type="operand">31</e>
          <e type="operand">16</e>
          <e type="operand">6</e>
          <e type="operand">1</e>
          <e type="operand">1</e>
          <e type="operand">6</e>
          <e type="operand">16</e>
          <e type="operand">62</e>
          <e type="operand">40</e>
          <e type="operand">22</e>
          <e type="operand">10</e>
          <e type="operand">2</e>
          <e type="operand">0</e>
          <e type="operand">2</e>
          <e type="operand">141</e>
          <e type="operand">106</e>
          <e type="operand">76</e>
          <e type="operand">51</e>
          <e type="operand">31</e>
          <e type="operand">16</e>
          <e type="operand">6</e>
          <e type="operand">7</e>
          <e type="operand">7</e>
          <e type="function" preserve="true" args="51">mat</e>
        </result>
      </math>
    </region>
    <region id="39" left="18" top="972" width="640" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p>Function call with initial value as equation (first simplex vertex) triggers 
embedded solution assignment to x</p>
      </text>
      <text lang="ger">
        <p>Funktionsaufruf mit Startwert (erster Simplexpunkt) als Gleichung, bewirkt interne 
Lösungszuweisung an x</p>
      </text>
    </region>
    <region id="40" left="18" top="1017" width="469" height="48" color="#000000" bgColor="#ffffff" fontSize="10">
      <math fractionType="auto" decimalPlaces="5">
        <input>
          <e type="operand">x</e>
          <e type="function" args="1">f</e>
          <e type="operand">x</e>
          <e type="operand">1.3</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.5</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="operator" args="2">≡</e>
          <e type="operand">0.5</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1.5</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="4">mat</e>
          <e type="operand">0.5</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="operand">1</e>
          <e type="operand">3</e>
          <e type="function" preserve="true" args="5">mat</e>
          <e type="operand">10</e>
          <e type="operand">32</e>
          <e type="operator" args="1">-</e>
          <e type="operator" args="2">^</e>
          <e type="function" preserve="true" args="3">NelderMead</e>
        </input>
        <result action="numeric">
          <e type="operand">0.95013</e>
          <e type="operand">0.88947</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="41" left="558" top="1026" width="114" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">x</e>
          <e type="function" args="1">f</e>
        </input>
        <result action="numeric">
          <e type="operand">0.0042</e>
        </result>
      </math>
    </region>
    <region id="42" top="1053" color="#000000" bgColor="#ffffff">
      <area terminator="true" />
    </region>
  </region>
  <region id="43" top="1071" color="#000000" bgColor="#ffffff">
    <area collapsed="false">
      <title lang="eng">
        <p>Summary</p>
      </title>
      <title lang="ger">
        <p>Verlaufsdaten </p>
      </title>
    </area>
    <region id="44" left="135" top="1089" width="126" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">show.summary</e>
          <e type="operand">1</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="45" left="18" top="1098" width="106" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">x</e>
          <e type="function" preserve="true" args="1">Clear</e>
        </input>
        <result action="numeric">
          <e type="operand">1</e>
        </result>
      </math>
    </region>
    <region id="46" left="18" top="1116" width="672" height="48" color="#000000" bgColor="#ffffff" fontSize="10">
      <math optimize="2" decimalPlaces="5">
        <input>
          <e type="operand">S</e>
          <e type="operand">x</e>
          <e type="function" args="1">f</e>
          <e type="operand">0</e>
          <e type="operator" args="2">≡</e>
          <e type="operand">x</e>
          <e type="operand">0.5</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.5</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="operator" args="2">≡</e>
          <e type="operand">0.5</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1.5</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="4">mat</e>
          <e type="operand">0.5</e>
          <e type="operand">0.5</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="4">mat</e>
          <e type="operand">1</e>
          <e type="operand">3</e>
          <e type="function" preserve="true" args="5">mat</e>
          <e type="operand">10</e>
          <e type="operand">12</e>
          <e type="operator" args="1">-</e>
          <e type="operator" args="2">^</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">show.summary</e>
          <e type="operand">0</e>
          <e type="function" preserve="true" args="10">NelderMead</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="47" left="567" top="1179" width="114" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">x</e>
          <e type="function" args="1">f</e>
        </input>
        <result action="numeric">
          <e type="operand">0.0767</e>
        </result>
      </math>
    </region>
    <region id="48" left="9" top="1215" width="809" height="258" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">S</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">1</e>
          <e type="operand">3</e>
          <e type="operand">1</e>
          <e type="operand">5</e>
          <e type="function" preserve="true" args="5">submatrix</e>
        </input>
        <result action="numeric">
          <e type="operand" style="string">i</e>
          <e type="operand" style="string">simplex</e>
          <e type="operand" style="string">h:argmax(f(simplex))</e>
          <e type="operand" style="string">l:argmin(f(simplex))</e>
          <e type="operand" style="string">f(x.l)</e>
          <e type="operand">0</e>
          <e type="operand">0.5</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.5</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="operand">0.5</e>
          <e type="operator" args="1">-</e>
          <e type="operand">1.5</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="4">mat</e>
          <e type="operand">0.5</e>
          <e type="operand">0.5</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="4">mat</e>
          <e type="operand">3</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="5">mat</e>
          <e type="operand">2</e>
          <e type="operand">3</e>
          <e type="operand">0.875</e>
          <e type="operand">1</e>
          <e type="operand">0.5</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.5</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="operand">0.1667</e>
          <e type="operand">0.5</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="operand">0.5</e>
          <e type="operand">0.5</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="4">mat</e>
          <e type="operand">3</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="5">mat</e>
          <e type="operand">1</e>
          <e type="operand">3</e>
          <e type="operand">0.875</e>
          <e type="operand">3</e>
          <e type="operand">5</e>
          <e type="function" preserve="true" args="17">mat</e>
        </result>
      </math>
    </region>
    <region id="49" left="9" top="1467" width="115" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="ger">
        <p>n-th simplex </p>
      </text>
    </region>
    <region id="50" left="135" top="1467" width="43" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">n</e>
          <e type="operand">3</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="51" left="18" top="1494" width="154" height="122" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">S</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">n</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="3">el</e>
        </input>
        <result action="numeric">
          <e type="operand">0.5</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.5</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="operand">0.1667</e>
          <e type="operand">0.5</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="operand">0.5</e>
          <e type="operand">0.5</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="4">mat</e>
          <e type="operand">3</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="5">mat</e>
        </result>
      </math>
    </region>
    <region id="52" top="1620" color="#000000" bgColor="#ffffff">
      <area terminator="true" />
    </region>
  </region>
  <region id="53" left="18" top="1638" width="152" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Plugin Nonlinear Solvers.sm">Nonlinear Solvers</p>
    </text>
  </region>
  <region id="54" left="18" top="1665" width="127" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p href="Function index.sm">Function index</p>
    </text>
    <text lang="ger">
      <p href="Function index.sm">Funktionsindex</p>
    </text>
  </region>
  <region id="55" left="18" top="1683" width="78" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p href="Handbook.sm">Contents</p>
    </text>
    <text lang="ger">
      <p href="Handbook.sm">Inhalt</p>
    </text>
  </region>
  <region id="56" left="18" top="1719" width="450" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p italic="true">$Author: mkraska $
$Date: 2013-08-17 23:58:19 +0200 (Sa, 17. Aug 2013) $ </p>
    </text>
  </region>
</regions>