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      <revision>42</revision>
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      <fractions>decimal</fractions>
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      <margins left="39" right="39" top="39" bottom="39" />
      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
      <footer alignment="Center" color="#a9a9a9">&amp;[PAGENUM] / &amp;[COUNT]</footer>
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  <region id="0" left="18" top="18" width="176" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p bold="true">Searching and Sorting</p>
    </text>
    <text lang="ger">
      <p bold="true">Suchen und Sortieren</p>
    </text>
  </region>
  <region id="1" left="522" top="18" width="185" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p href="Chapter Matrices.sm">Vectors and Matrices</p>
    </text>
    <text lang="ger">
      <p href="Chapter Matrices.sm">Vektoren und Matrizen</p>
    </text>
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    <text lang="eng">
      <p href="Handbook.sm">Contents</p>
    </text>
    <text lang="ger">
      <p href="Handbook.sm">Inhalt</p>
    </text>
  </region>
  <region id="3" left="18" top="54" width="61" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p bold="true">Searching </p>
    </text>
    <text lang="ger">
      <p bold="true">Suchen</p>
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  <region id="4" left="18" top="81" width="709" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>The function findrows(M,f,i) extracts all rows of a matrix, which have a value equal
to expression f in column i </p>
    </text>
    <text lang="ger">
      <p>Die Funktion findrows(M,f,i) extrahiert die Zeilen, deren Wert in Spalte i gleich dem
Ausdruck f ist.</p>
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    <text lang="eng">
      <p bold="true">Sorting </p>
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    <text lang="ger">
      <p bold="true">Sortieren</p>
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    <text lang="eng">
      <p>The function csort(M,i) sorts the rows of a matrix according to column i </p>
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    <text lang="ger">
      <p>Die Funktion csort(i) sortiert die Zeilen einer Matrix anhand der Werte in Spalte i.</p>
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        <e type="operand">8</e>
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    <text lang="eng">
      <p>Complementary to that, the function rsort(M,i) sorts the columns according to the 
values in row i</p>
    </text>
    <text lang="ger">
      <p>Entsprechend sortiert rsort(M,i) die Spalten einer Matrix anhand der Werte in Zeile i.</p>
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        <e type="operand">2</e>
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    <text lang="eng">
      <p>The function sort(v) sorts the elements of a vector (column matrix) by size.</p>
    </text>
    <text lang="ger">
      <p>Die Funktion sort(v) sortiert die Elemente eines Vektors (Spaltenmatrix) aufsteigend.</p>
    </text>
  </region>
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      <p>reverse() reverts the row sequence of a matrix</p>
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    <text lang="ger">
      <p>reverse() kehrt die Reihenfolge der Zeilen einer Matrix um.</p>
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        <e type="operand">6</e>
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    <text lang="eng">
      <p>This can be used to sort in descending order.</p>
    </text>
    <text lang="ger">
      <p>Das kann man benutzen, um absteigend statt aufsteigend zu sortieren.</p>
    </text>
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        <e type="operand">7</e>
        <e type="operand">3</e>
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  </region>
  <region id="19" left="18" top="792" width="169" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p bold="true">Minimum and Maximum</p>
    </text>
    <text lang="ger">
      <p bold="true">Minimum und Maximum</p>
    </text>
  </region>
  <region id="20" left="18" top="819" width="676" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Maximal and minimal values of a matrix are determined by the functions</p>
    </text>
    <text lang="ger">
      <p>Größter und kleinster Wert einer Matrix werden mit den Funktionen min() und max()
bestimmt.</p>
    </text>
  </region>
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    <text lang="eng">
      <p>The plugin Custom Functions provides extended functions, which can handle multiple 
arguments of different types, nesting is possible.</p>
    </text>
    <text lang="ger">
      <p>Das Plugin Custom Functions enthält erweiterte Versionen dieser Funktioen, die auch mit
mehreren Argumenten unterschiedlicher Formen (Listen, Matrizen, Zahlen) zurechtkommen.</p>
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    </math>
  </region>
  <region id="26" left="18" top="1134" width="407" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p bold="true">Matlab-compatible search and compare functions</p>
    </text>
    <text lang="ger">
      <p bold="true">Matlab-kompatible Such- und Vergleichsfunktionen</p>
    </text>
  </region>
  <region id="27" left="18" top="1170" width="677" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>The plugin "Matlab C++ Math Library" provides functions which simplify the search
for matrix elements matching some condition and their further processing.</p>
    </text>
    <text lang="ger">
      <p>Das Plugin "Matlab C++ Math Library" bietet einige Funktionen, mit denen die Suche
nach Matrixelementen, die bestimmte Bedingungen erfüllen, und deren Weiterverarbeitung
vereinfacht werden. </p>
    </text>
  </region>
  <region id="28" left="18" top="1242" width="446" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>mwfind() identifies all non-zero elements in a matrix</p>
    </text>
    <text lang="ger">
      <p>mwfind() sucht alle Elemente ungleich Null heraus.</p>
    </text>
  </region>
  <region id="29" left="18" top="1269" width="146" height="64" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">IJV</e>
        <e type="operand">0</e>
        <e type="operand">6</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">5</e>
        <e type="operand">0</e>
        <e type="operand">3</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="8">mat</e>
        <e type="function" preserve="true" args="1">mwfind</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="30" left="180" top="1269" width="74" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">I</e>
        <e type="operand">IJV</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="31" left="261" top="1269" width="62" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">I</e>
      </input>
      <result action="numeric">
        <e type="operand">3</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>
      </result>
    </math>
  </region>
  <region id="32" left="387" top="1269" width="250" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>row indices of elements found</p>
    </text>
    <text lang="ger">
      <p>Zeilenindizes der gefundenen Elemente</p>
    </text>
  </region>
  <region id="33" left="180" top="1314" width="74" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">J</e>
        <e type="operand">IJV</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="34" left="261" top="1314" width="62" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">J</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
        <e type="operand">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="35" left="387" top="1314" width="274" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>column indices of elements found</p>
    </text>
    <text lang="ger">
      <p>Spaltenindizes der gefundenen Elemente</p>
    </text>
  </region>
  <region id="36" left="180" top="1359" width="74" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">V</e>
        <e type="operand">IJV</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="37" left="261" top="1359" width="62" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">V</e>
      </input>
      <result action="numeric">
        <e type="operand">5</e>
        <e type="operand">6</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="38" left="387" top="1359" width="208" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>values of elements found</p>
    </text>
    <text lang="ger">
      <p>Werte der gefundenen Elemente</p>
    </text>
  </region>
  <region id="39" left="18" top="1404" width="695" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Die folgenden Vergleichsfunktionen können als Argument für mwfind() benutzt werden.</p>
    </text>
  </region>
  <region id="40" left="36" top="1431" width="185" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">B</e>
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="operand">6</e>
        <e type="function" preserve="true" args="4">Random.N</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="41" left="225" top="1431" width="137" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">c</e>
        <e type="operand">1</e>
        <e type="operand">6</e>
        <e type="function" preserve="true" args="2">Random.N</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="42" left="36" top="1458" width="84" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">A</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="operand">4</e>
        <e type="operand">5</e>
        <e type="operand">6</e>
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="8">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="43" left="126" top="1458" width="94" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">B</e>
      </input>
      <result action="numeric">
        <e type="operand">6</e>
        <e type="operand">1</e>
        <e type="operand">3</e>
        <e type="operand">3</e>
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="8">mat</e>
      </result>
    </math>
  </region>
  <region id="44" left="225" top="1467" width="53" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">c</e>
      </input>
      <result action="numeric">
        <e type="operand">2</e>
      </result>
    </math>
  </region>
  <region id="45" left="126" top="1503" width="163" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">A</e>
        <e type="operand">B</e>
        <e type="function" preserve="true" args="2">mwlt</e>
      </input>
      <result action="numeric">
        <e type="operand">1</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">2</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="8">mat</e>
      </result>
    </math>
  </region>
  <region id="46" left="306" top="1503" width="163" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">A</e>
        <e type="operand">c</e>
        <e type="function" preserve="true" args="2">mwlt</e>
      </input>
      <result action="numeric">
        <e type="operand">1</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">2</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="8">mat</e>
      </result>
    </math>
  </region>
  <region id="47" left="477" top="1503" width="163" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">c</e>
        <e type="operand">A</e>
        <e type="function" preserve="true" args="2">mwlt</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="8">mat</e>
      </result>
    </math>
  </region>
  <region id="48" left="36" top="1512" width="41" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">#</e>
        <e type="operand">#</e>
        <e type="operator" args="2">&lt;</e>
      </input>
    </math>
  </region>
  <region id="49" left="126" top="1548" width="163" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">A</e>
        <e type="operand">B</e>
        <e type="function" preserve="true" args="2">mwle</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="8">mat</e>
      </result>
    </math>
  </region>
  <region id="50" left="306" top="1548" width="163" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">A</e>
        <e type="operand">c</e>
        <e type="function" preserve="true" args="2">mwle</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="8">mat</e>
      </result>
    </math>
  </region>
  <region id="51" left="477" top="1548" width="163" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">c</e>
        <e type="operand">A</e>
        <e type="function" preserve="true" args="2">mwle</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="8">mat</e>
      </result>
    </math>
  </region>
  <region id="52" left="36" top="1557" width="41" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">#</e>
        <e type="operand">#</e>
        <e type="operator" args="2">≤</e>
      </input>
    </math>
  </region>
  <region id="53" left="126" top="1593" width="163" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">A</e>
        <e type="operand">B</e>
        <e type="function" preserve="true" args="2">mweq</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="8">mat</e>
      </result>
    </math>
  </region>
  <region id="54" left="306" top="1593" width="163" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">A</e>
        <e type="operand">c</e>
        <e type="function" preserve="true" args="2">mweq</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="8">mat</e>
      </result>
    </math>
  </region>
  <region id="55" left="477" top="1593" width="163" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">c</e>
        <e type="operand">A</e>
        <e type="function" preserve="true" args="2">mweq</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="8">mat</e>
      </result>
    </math>
  </region>
  <region id="56" left="36" top="1602" width="41" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">#</e>
        <e type="operand">#</e>
        <e type="operator" args="2">≡</e>
      </input>
    </math>
  </region>
  <region id="57" left="126" top="1638" width="163" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">A</e>
        <e type="operand">B</e>
        <e type="function" preserve="true" args="2">mwge</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="8">mat</e>
      </result>
    </math>
  </region>
  <region id="58" left="306" top="1638" width="163" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">A</e>
        <e type="operand">c</e>
        <e type="function" preserve="true" args="2">mwge</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="8">mat</e>
      </result>
    </math>
  </region>
  <region id="59" left="477" top="1638" width="163" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">c</e>
        <e type="operand">A</e>
        <e type="function" preserve="true" args="2">mwge</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="8">mat</e>
      </result>
    </math>
  </region>
  <region id="60" left="36" top="1647" width="41" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">#</e>
        <e type="operand">#</e>
        <e type="operator" args="2">≥</e>
      </input>
    </math>
  </region>
  <region id="61" left="126" top="1683" width="163" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">A</e>
        <e type="operand">B</e>
        <e type="function" preserve="true" args="2">mwgt</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="8">mat</e>
      </result>
    </math>
  </region>
  <region id="62" left="306" top="1683" width="163" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">A</e>
        <e type="operand">c</e>
        <e type="function" preserve="true" args="2">mwgt</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="8">mat</e>
      </result>
    </math>
  </region>
  <region id="63" left="477" top="1683" width="163" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">c</e>
        <e type="operand">A</e>
        <e type="function" preserve="true" args="2">mwgt</e>
      </input>
      <result action="numeric">
        <e type="operand">1</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">2</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="8">mat</e>
      </result>
    </math>
  </region>
  <region id="64" left="36" top="1692" width="41" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">#</e>
        <e type="operand">#</e>
        <e type="operator" args="2">&gt;</e>
      </input>
    </math>
  </region>
  <region id="65" left="126" top="1728" width="171" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">A</e>
        <e type="operand">B</e>
        <e type="function" preserve="true" args="2">mwneq</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="8">mat</e>
      </result>
    </math>
  </region>
  <region id="66" left="306" top="1728" width="171" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">A</e>
        <e type="operand">c</e>
        <e type="function" preserve="true" args="2">mwneq</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="8">mat</e>
      </result>
    </math>
  </region>
  <region id="67" left="477" top="1728" width="171" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">c</e>
        <e type="operand">A</e>
        <e type="function" preserve="true" args="2">mwneq</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="8">mat</e>
      </result>
    </math>
  </region>
  <region id="68" left="36" top="1737" width="41" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">#</e>
        <e type="operand">#</e>
        <e type="operator" args="2">≠</e>
      </input>
    </math>
  </region>
  <region id="69" left="18" top="1836" width="185" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p href="Chapter Matrices.sm">Vectors and Matrices</p>
    </text>
    <text lang="ger">
      <p href="Chapter Matrices.sm">Vektoren und Matrizen</p>
    </text>
  </region>
  <region id="70" left="18" top="1854" width="61" 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="71" left="18" top="1881" width="450" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p italic="true">$Author: mkraska $
$Date: 2013-08-21 00:22:17 +0200 (Mi, 21. Aug 2013) $ </p>
    </text>
  </region>
</regions>