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  <settings>
    <identity>
      <id>be8ed228-7b9f-4d88-9521-f6039e697cd5</id>
      <revision>44</revision>
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    <calculation>
      <precision>4</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <fractions>decimal</fractions>
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    <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>
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    </dependences>
  </settings>
  <region id="0" left="18" top="18" width="34" height="32" color="#000000" bgColor="#ffff80" fontSize="10">
    <math>
      <input>
        <e type="operand">v</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
      </input>
    </math>
  </region>
  <region id="1" left="117" top="18" width="70" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>el(v,i)</p>
    </text>
  </region>
  <region id="2" left="558" top="18" width="177" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Chapter Matrices.sm">Vektoren und Matrizen</p>
    </text>
    <text lang="eng">
      <p href="Chapter Matrices.sm">Vectors and Matrices</p>
    </text>
  </region>
  <region id="3" left="558" top="36" width="127" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Function index.sm">Funktionsindex</p>
    </text>
    <text lang="eng">
      <p href="Function index.sm">Function index</p>
    </text>
  </region>
  <region id="4" left="18" top="45" width="48" height="32" color="#000000" bgColor="#ffff80" fontSize="10">
    <math>
      <input>
        <e type="operand">M</e>
        <e type="operand">i</e>
        <e type="operand">j</e>
        <e type="function" preserve="true" args="3">el</e>
      </input>
    </math>
  </region>
  <region id="5" left="117" top="45" width="86" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>el(M,i,j)</p>
    </text>
  </region>
  <region id="6" left="558" top="54" width="78" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Handbook.sm">Inhalt</p>
    </text>
    <text lang="eng">
      <p href="Handbook.sm">Contents</p>
    </text>
  </region>
  <region id="7" left="18" top="108" width="356" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Adress-Index für Vektoren/Listen oder Matrizen. Die Adressierung kann bei Anzeige und 
Zuweisung verwendet werden.</p>
    </text>
    <text lang="eng">
      <p>Adress index for vectors/lists or matrices</p>
    </text>
  </region>
  <region id="8" left="18" top="144" width="159" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p bold="true">Zeilenindex erzeugen</p>
    </text>
    <text lang="eng">
      <p bold="true">Create a row index</p>
    </text>
  </region>
  <region id="9" left="243" top="171" width="45" height="45" color="#000000" bgColor="#ffffff">
    <picture>
      <raw format="png" encoding="base64"> </raw>
    </picture>
  </region>
  <region id="10" left="486" top="171" width="45" height="45" color="#000000" bgColor="#ffffff">
    <picture>
      <raw format="png" encoding="base64"> </raw>
    </picture>
  </region>
  <region id="11" left="27" top="180" width="152" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Funktionen-Palette</p>
    </text>
    <text lang="eng">
      <p>Functions palette</p>
    </text>
  </region>
  <region id="12" left="189" top="180" width="28" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>oder </p>
    </text>
    <text lang="eng">
      <p>or</p>
    </text>
  </region>
  <region id="13" left="288" top="180" width="20" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>[</p>
    </text>
  </region>
  <region id="14" left="342" top="180" width="78" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Beispiel </p>
    </text>
    <text lang="eng">
      <p>Example:</p>
    </text>
  </region>
  <region id="15" left="531" top="180" width="37" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>a[i</p>
    </text>
  </region>
  <region id="16" left="576" top="180" width="28" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>-&gt;</p>
    </text>
  </region>
  <region id="17" left="612" top="180" width="34" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">a</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
      </input>
    </math>
  </region>
  <region id="18" left="27" top="198" width="155" height="72" color="#000000" bgColor="#ffffff">
    <picture>
      <raw format="png" encoding="base64"> </raw>
    </picture>
  </region>
  <region id="19" left="18" top="288" width="159" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p bold="true">Spaltenindex hinzufügen</p>
    </text>
    <text lang="eng">
      <p bold="true">Add a column index</p>
    </text>
  </region>
  <region id="20" left="486" top="315" width="45" height="45" color="#000000" bgColor="#ffffff">
    <picture>
      <raw format="png" encoding="base64"> </raw>
    </picture>
  </region>
  <region id="21" left="27" top="324" width="389" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Tippen Sie das Argumenttrennzeichen ("," oder ";")
 entsprechend Ihrer SMath-Einstellung.</p>
    </text>
    <text lang="eng">
      <p>Type the argument separator character 
according to your options settings ("," or ";"</p>
    </text>
  </region>
  <region id="22" left="531" top="324" width="53" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>M[i;j</p>
    </text>
    <text lang="eng">
      <p>M[i,j</p>
    </text>
  </region>
  <region id="23" left="594" top="324" width="28" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>-&gt;</p>
    </text>
  </region>
  <region id="24" left="630" top="324" width="48" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">M</e>
        <e type="operand">i</e>
        <e type="operand">j</e>
        <e type="function" preserve="true" args="3">el</e>
      </input>
    </math>
  </region>
  <region id="25" left="18" top="378" width="134" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p bold="true">Index löschen</p>
    </text>
    <text lang="eng">
      <p bold="true">Delete an index</p>
    </text>
  </region>
  <region id="26" left="27" top="414" width="620" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Matrix Indizes können nicht einzeln gelöscht werden, außer mit Strg-Z, wenn sie eben
erst erzeugt wurden. Im Zweifelsfall müssen Sie den Ausdruck neu schreiben.</p>
    </text>
    <text lang="eng">
      <p>To get rid of any matrix index use either Ctrl+Z if it was just created or 
rewrite the expression. There is no way to delete an index placeholder </p>
    </text>
  </region>
  <region id="27" left="36" top="450" width="58" height="42" color="#000000" bgColor="#ffffff">
    <picture>
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    </picture>
  </region>
  <region id="28" left="108" top="459" width="32" height="26" color="#000000" bgColor="#ffffff">
    <picture>
      <raw format="png" encoding="base64">iVBORw0KGgoAAAANSUhEUgAAABgAAAASCAYAAABB7B6eAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACESURBVDhPvY2BCsAgCET9/59unGisdq2lsgeClt6TtkFEcmU5FCxkeBVkw8FSUBEOqKAqHDwEJ+F6bMVmoLP1w8dX5hs260sk3PFblqGCTLizyvhH4E0Uv2UZXQAikvmGzcPLiUSPrdgMdLa+c1/IQgWgSrIUgArJqwBkJVsB0KVwSbsAQom4jm/4/GYAAAAASUVORK5CYII=</raw>
    </picture>
  </region>
  <region id="29" left="171" top="459" width="283" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Backspace löscht den unterstrichenen Ausdruck</p>
    </text>
    <text lang="eng">
      <p>Backspace deletes the index value</p>
    </text>
  </region>
  <region id="30" left="36" top="486" width="60" height="41" color="#000000" bgColor="#ffffff">
    <picture>
      <raw format="png" encoding="base64">iVBORw0KGgoAAAANSUhEUgAAADQAAAAhCAYAAACWY4jDAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADVSURBVFhH7ZEBDsMgCEU9uqf1Gi4kujD20VbN0JWXEGst9r8QciGlVJ7msL7HhXpsJxRjPKokUOgUXGh3XGh3niFEIrw0oRDCu9DeAsoq89+aEBKyBE6orM8VQqsV2wqN3rNMqOJCCiZC9NNaaN+j9d3VOyTTExrhijg6431ar4lQRQtFoDMuo/W60Eq0UAQ64zJarwutRAtFoDMuo/WaCMlgKJz2rtVDmE6ohRa4hwv9iqVCJMLLSuhOVSirzL/FhEaBEyrrh9BJJfkSmsX6nj8TyvkFBIiwsE1lDwYAAAAASUVORK5CYII=</raw>
    </picture>
  </region>
  <region id="31" left="108" top="495" width="32" height="26" color="#000000" bgColor="#ffffff">
    <picture>
      <raw format="png" encoding="base64">iVBORw0KGgoAAAANSUhEUgAAABgAAAASCAYAAABB7B6eAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACESURBVDhPvY2BCsAgCET9/59unGisdq2lsgeClt6TtkFEcmU5FCxkeBVkw8FSUBEOqKAqHDwEJ+F6bMVmoLP1w8dX5hs260sk3PFblqGCTLizyvhH4E0Uv2UZXQAikvmGzcPLiUSPrdgMdLa+c1/IQgWgSrIUgArJqwBkJVsB0KVwSbsAQom4jm/4/GYAAAAASUVORK5CYII=</raw>
    </picture>
  </region>
  <region id="32" left="171" top="495" width="561" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Nochmal Backspace markiert die ganze Indexfunktion</p>
    </text>
    <text lang="eng">
      <p>next backspace highlights the complete extent of the index function</p>
    </text>
  </region>
  <region id="33" left="36" top="522" width="57" height="41" color="#000000" bgColor="#ffffff">
    <picture>
      <raw format="png" encoding="base64">iVBORw0KGgoAAAANSUhEUgAAADEAAAAhCAYAAABwSkOHAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADhSURBVFhH7ZFdDsIgEIR99hyezlNwWq5BnYdNYB2oLoYfu18yrTjtli/c0osYI27dzJrjEpolJEIIW0V4k9iFU4n747l0gEusEOASKwQUEhCQ1CRy2Hp0APYq+/74JAT9e0ZAcRK4XEqC3WcELCVhmQO6JGprayxzwDUlctj6LK3nWl0twHQSluSwHmGdhvXDJCStmazTsN4lLGnNZJ2G9S5hSWsm6zSsHybBYM+w/3JYP/wkWrF8D7jEr2P5HigkICCZJfEN8g72KvumJ7EDxUngkkvsFKGQ6GXWnD+QSOkAnIA8SnqtIh0AAAAASUVORK5CYII=</raw>
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  </region>
  <region id="34" left="108" top="531" width="32" height="26" color="#000000" bgColor="#ffffff">
    <picture>
      <raw format="png" encoding="base64">iVBORw0KGgoAAAANSUhEUgAAABgAAAASCAYAAABB7B6eAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACESURBVDhPvY2BCsAgCET9/59unGisdq2lsgeClt6TtkFEcmU5FCxkeBVkw8FSUBEOqKAqHDwEJ+F6bMVmoLP1w8dX5hs260sk3PFblqGCTLizyvhH4E0Uv2UZXQAikvmGzcPLiUSPrdgMdLa+c1/IQgWgSrIUgArJqwBkJVsB0KVwSbsAQom4jm/4/GYAAAAASUVORK5CYII=</raw>
    </picture>
  </region>
  <region id="35" left="171" top="531" width="501" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Nochmal Backspace löscht die ganze Indexfunktion mit allen 
Argumenten.</p>
    </text>
    <text lang="eng">
      <p>next backspace deletes the index function and its remaining 
operands.</p>
    </text>
  </region>
  <region id="36" left="18" top="576" width="250" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p bold="true">Indizierung von Vektoren und Listen</p>
    </text>
    <text lang="eng">
      <p bold="true">Indexing of vectors and lists</p>
    </text>
  </region>
  <region id="37" left="18" top="603" width="52" height="62" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">v</e>
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="operand">4</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="38" left="90" top="603" width="76" height="70" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="operand">4</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="function" preserve="true" args="2">el</e>
      </input>
      <result action="numeric">
        <e type="operand">3</e>
      </result>
    </math>
  </region>
  <region id="39" left="306" top="612" width="225" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Anzeige von Vektorelementen</p>
    </text>
    <text lang="eng">
      <p>Display of vector elements</p>
    </text>
  </region>
  <region id="40" left="180" top="621" width="67" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">v</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
      </input>
      <result action="numeric">
        <e type="operand">3</e>
      </result>
    </math>
  </region>
  <region id="41" left="18" top="684" width="57" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">v</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">4</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="42" left="90" top="684" width="62" height="62" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">v</e>
      </input>
      <result action="numeric">
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="operand">4</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="43" left="306" top="684" width="339" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Zuweisung auf ein existierendes Vektorelement</p>
    </text>
    <text lang="eng">
      <p>Assignment to an existing vector element</p>
    </text>
  </region>
  <region id="44" left="18" top="756" width="57" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">v</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">7</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="45" left="90" top="756" width="62" height="98" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">v</e>
      </input>
      <result action="numeric">
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="operand">4</e>
        <e type="operand">0</e>
        <e type="operand">7</e>
        <e type="operand">5</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="7">mat</e>
      </result>
    </math>
  </region>
  <region id="46" left="162" top="756" width="57" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">t</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">1</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="47" left="225" top="756" width="62" height="62" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">t</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">1</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="48" left="306" top="756" width="430" height="56" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Zuweisung auf ein nicht existierendes Vektorelement
erzeugt eine vektorwertige Variable oder erweitert 
eine bestehende Variable</p>
    </text>
    <text lang="eng">
      <p>Assignment to a non-existing vector element creates
a new vector-valued variable or extends an existing
variable to the required size.</p>
    </text>
  </region>
  <region id="49" left="27" top="864" width="110" height="52" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand" style="string">a</e>
        <e type="operand" style="string">b</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">b</e>
      </result>
    </math>
  </region>
  <region id="50" left="306" top="864" width="209" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Anzeige von Listenelementen</p>
    </text>
    <text lang="eng">
      <p>Display of list elements</p>
    </text>
  </region>
  <region id="51" left="27" top="918" width="69" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">L</e>
        <e type="operand" style="string">a</e>
        <e type="operand" style="string">b</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="52" left="117" top="918" width="57" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">L</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>
      </input>
    </math>
  </region>
  <region id="53" left="198" top="918" width="79" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">L</e>
      </input>
      <result action="numeric">
        <e type="operand">2</e>
        <e type="operand" style="string">b</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
      </result>
    </math>
  </region>
  <region id="54" left="306" top="918" width="323" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Zuweisung auf ein existierendes Listenelement</p>
    </text>
    <text lang="eng">
      <p>Assignment to an existing list element</p>
    </text>
  </region>
  <region id="55" left="27" top="972" width="57" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">L</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">3</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="56" left="117" top="972" width="79" height="80" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">L</e>
      </input>
      <result action="numeric">
        <e type="operand">2</e>
        <e type="operand" style="string">b</e>
        <e type="operand">0</e>
        <e type="operand">3</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">sys</e>
      </result>
    </math>
  </region>
  <region id="57" left="306" top="972" width="421" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Zuweisung auf ein nicht existierendes Element einer
existierenden Liste. Die Liste wird dynamisch 
erweitert.</p>
    </text>
    <text lang="eng">
      <p>Assignment to non-existing elements of an existing
list extends the list to the required size.</p>
    </text>
  </region>
  <region id="58" left="18" top="1062" width="176" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p bold="true">Indizierung von Matrix-Elementen</p>
    </text>
    <text lang="eng">
      <p bold="true">Indexing of matrices</p>
    </text>
  </region>
  <region id="59" left="18" top="1098" width="108" height="62" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">A</e>
        <e type="operand">57</e>
        <e type="operand">23</e>
        <e type="operand">45</e>
        <e type="operand">67</e>
        <e type="operand">29</e>
        <e type="operand">7</e>
        <e type="operand">80</e>
        <e type="operand">9</e>
        <e type="operand">37</e>
        <e type="operand">3</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="11">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="60" left="144" top="1116" width="89" height="32" 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="function" preserve="true" args="3">el</e>
      </input>
      <result action="numeric">
        <e type="operand">23</e>
      </result>
    </math>
  </region>
  <region id="61" left="306" top="1116" width="258" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Anzeige einzelner Elemente</p>
    </text>
    <text lang="eng">
      <p>Display of individual elements</p>
    </text>
  </region>
  <region id="62" left="27" top="1179" width="79" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">A</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">10</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="63" left="117" top="1179" width="118" height="62" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">A</e>
      </input>
      <result action="numeric">
        <e type="operand">10</e>
        <e type="operand">23</e>
        <e type="operand">45</e>
        <e type="operand">67</e>
        <e type="operand">29</e>
        <e type="operand">7</e>
        <e type="operand">80</e>
        <e type="operand">9</e>
        <e type="operand">37</e>
        <e type="operand">3</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="11">mat</e>
      </result>
    </math>
  </region>
  <region id="64" left="306" top="1179" width="282" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Zuweisung auf einzelne Elemente</p>
    </text>
    <text lang="eng">
      <p>Assignment to individual Elements</p>
    </text>
  </region>
  <region id="65" left="27" top="1242" width="71" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">A</e>
        <e type="operand">3</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">1</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="66" left="108" top="1242" width="134" height="62" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">A</e>
      </input>
      <result action="numeric">
        <e type="operand">10</e>
        <e type="operand">23</e>
        <e type="operand">45</e>
        <e type="operand">0</e>
        <e type="operand">67</e>
        <e type="operand">29</e>
        <e type="operand">7</e>
        <e type="operand">0</e>
        <e type="operand">80</e>
        <e type="operand">9</e>
        <e type="operand">37</e>
        <e type="operand">1</e>
        <e type="operand">3</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="14">mat</e>
      </result>
    </math>
  </region>
  <region id="67" left="306" top="1242" width="430" height="56" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Zuweisung auf ein nicht existierendes Matrix-
element erweitert eine existierende Matrix oder
erzeugt eine neue Matrix der erforderlichen 
Größe</p>
    </text>
    <text lang="eng">
      <p>Assignment to a non-existing matrix element creates
extends an existing matrix or creates a new matrix-
valued variable of the required size.</p>
    </text>
  </region>
  <region id="68" left="27" top="1305" width="88" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">B</e>
        <e type="operand">2</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">0.4</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="69" left="135" top="1305" width="95" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">B</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0.4</e>
        <e type="operand">2</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="6">mat</e>
      </result>
    </math>
  </region>
  <region id="70" left="18" top="1368" width="135" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p bold="true">Lineare Indizierung</p>
    </text>
    <text lang="eng">
      <p bold="true">Linear indexing</p>
    </text>
  </region>
  <region id="71" left="18" top="1395" width="424" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Matrixelemente können mit einem einzelnen Index angesprochen  werden 
(nur lesender Zugriff, keine Zuweisung)</p>
    </text>
    <text lang="eng">
      <p>Matrix elements can be accessed by a single index. 
This does not work for assignment. </p>
    </text>
  </region>
  <region id="72" left="18" top="1440" width="75" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">A</e>
        <e type="operand">10</e>
        <e type="function" preserve="true" args="2">el</e>
      </input>
      <result action="numeric">
        <e type="operand">9</e>
      </result>
    </math>
  </region>
  <region id="73" left="135" top="1440" width="241" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Lineare Indizierung erfolgt zeilenweise.</p>
    </text>
    <text lang="eng">
      <p>linear indexing is row-wise.</p>
    </text>
  </region>
  <region id="74" left="18" top="1467" width="65" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="68">
      <input>
        <e type="operand">A</e>
        <e type="operand">10</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">0</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="75" left="135" top="1467" width="438" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Lineare Indizierung funktioniert nicht als Ziel einer Zuweisung</p>
    </text>
    <text lang="eng">
      <p>Linear indexing does not work in assignment targets.</p>
    </text>
  </region>
  <region id="76" left="9" top="1512" width="9" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p />
    </text>
  </region>
  <region id="77" left="18" top="1512" width="177" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Chapter Matrices.sm">Vektoren und Matrizen</p>
    </text>
    <text lang="eng">
      <p href="Chapter Matrices.sm">Vectors and Matrices</p>
    </text>
  </region>
  <region id="78" left="18" top="1530" width="127" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Function index.sm">Funktionsindex</p>
    </text>
    <text lang="eng">
      <p href="Function index.sm">Function index</p>
    </text>
  </region>
  <region id="79" left="18" top="1548" width="78" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Handbook.sm">Inhalt</p>
    </text>
    <text lang="eng">
      <p href="Handbook.sm">Contents</p>
    </text>
  </region>
  <region id="80" left="18" top="1584" width="450" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p italic="true">$Author: mkraska $
$Date: 2013-10-08 23:44:40 +0200 (Di, 08. Okt 2013) $ </p>
    </text>
  </region>
</regions>