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      <p />
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    <text lang="eng">
      <p>Stacking of two matrices A and B (or eventually more) of equal number of columns
to a new matrix with the same number of columns.</p>
    </text>
    <text lang="ger">
      <p>Stapeln Matrizen A und B und eventuell weiterer Matrizen gleicher Spaltenzahl
zu einer neuen Matrix</p>
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        <e type="operand">1</e>
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        <e type="operand">4</e>
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        <e type="operand">6</e>
        <e type="operand">3</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="8">mat</e>
        <e type="operand">1</e>
        <e type="operand">4</e>
        <e type="operand">3</e>
        <e type="operand">8</e>
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        <e type="operand">2</e>
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    <math>
      <input>
        <e type="operand">7</e>
        <e type="operand">3</e>
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    <text lang="eng">
      <p>Construction of a vector from scalars.
However, this can be done directly by 
writing the scalars into a vector.</p>
    </text>
    <text lang="ger">
      <p>Zusammenbau eines Vektors aus Skalaren. 
Man kann die Skalare aber
auch direkt in einen Vektor schreiben.</p>
    </text>
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  <region id="6" left="558" top="207" width="71" height="62" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">7</e>
        <e type="operand">3</e>
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        <e type="operand">1</e>
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        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
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    </math>
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  <region id="7" left="18" top="261" width="148" height="80" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">7</e>
        <e type="operand">3</e>
        <e type="operand">5</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="2">stack</e>
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        <e type="operand">7</e>
        <e type="operand">3</e>
        <e type="operand">5</e>
        <e type="operand">5</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">mat</e>
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    </math>
  </region>
  <region id="8" left="198" top="270" width="231" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Append a scalar to a vector</p>
    </text>
    <text lang="ger">
      <p>Anhängen eines Skalars an einen Vektor</p>
    </text>
  </region>
  <region id="9" left="18" top="360" width="139" height="46" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="24">
      <input>
        <e type="operand">5</e>
        <e type="operand">7</e>
        <e type="operand">3</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">stack</e>
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      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="10" left="198" top="360" width="363" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>You cannot put a scalar on top of a vector.</p>
    </text>
    <text lang="ger">
      <p>Das Voranstellen eines Skalars an einen Vektor 
funktioniert leider nicht.</p>
    </text>
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  <region id="11" left="18" top="405" width="157" height="62" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">5</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">mat</e>
        <e type="operand">7</e>
        <e type="operand">3</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
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        <e type="operand">5</e>
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        <e type="operand">3</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
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    </math>
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  <region id="12" left="198" top="414" width="479" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>The scalar can be set into a 1x1 matrix, then this works.</p>
    </text>
    <text lang="ger">
      <p>Der Skalar kann aber in eine 1x1-Matrix verpackt werden,
dann geht es.</p>
    </text>
  </region>
  <region id="13" left="18" top="477" width="362" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p bold="true">Generation of a matrix row by row in a loop</p>
    </text>
    <text lang="ger">
      <p bold="true">So können Sie eine Matrix zeilenweise in einer Schleife aufbauen:</p>
    </text>
  </region>
  <region id="14" left="18" top="513" width="128" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">M</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">matrix</e>
        <e type="operator" args="2">:</e>
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    </math>
  </region>
  <region id="15" left="288" top="513" width="397" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Initialize the matrix with 0 rows and 2 columns</p>
    </text>
    <text lang="ger">
      <p>Initialisieren einer leeren zweizeiligen Matrix </p>
    </text>
  </region>
  <region id="16" left="18" top="540" width="198" height="63" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operand">π</e>
        <e type="operand">π</e>
        <e type="operand">4</e>
        <e type="operator" args="2">/</e>
        <e type="function" preserve="true" args="3">range</e>
        <e type="operand">M</e>
        <e type="operand">M</e>
        <e type="operand">x</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">mat</e>
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        <e type="operator" args="2">:</e>
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    <text lang="eng">
      <p>create and add more rows</p>
    </text>
    <text lang="ger">
      <p>Hinzufügen weiterer  Spalten</p>
    </text>
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    <math>
      <input>
        <e type="operand">M</e>
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        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0.7854</e>
        <e type="operand">0.7071</e>
        <e type="operand">1.5708</e>
        <e type="operand">1</e>
        <e type="operand">2.3562</e>
        <e type="operand">0.7071</e>
        <e type="operand">3.1416</e>
        <e type="operand">0</e>
        <e type="operand">5</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="12">mat</e>
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    </math>
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    <plot type="2d" render="lines" scale_x="3.38357101722668" scale_y="3.38357101722668" scale_z="3.38357101722668" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-61" transpose_y="-22" transpose_z="0">
      <input>
        <e type="operand">M</e>
      </input>
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  <region id="20" left="18" top="729" 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="21" left="18" top="747" 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="22" left="18" top="783" 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>
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