﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio Desktop" version="0.98.6179.21440"?>
<regions>
  <settings>
    <identity>
      <id>be8ed228-7b9f-4d88-9521-f6039e697cd5</id>
      <revision>36</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>
    <dependencies>
      <assembly name="SMath Studio Desktop" version="0.98.6179.21440" guid="a37cba83-b69c-4c71-9992-55ff666763bd" />
      <assembly name="Math Region" version="0.98.6179.21440" guid="02f1ab51-215b-466e-a74d-5d8b1cf85e8d" />
      <assembly name="Special Functions" version="1.11.6179.21442" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
      <assembly name="Text Region" version="1.10.6179.21446" guid="485d28c5-349a-48b6-93be-12a35a1c1e39" />
      <assembly name="Plot Region" version="1.9.6179.21450" guid="c451c2b5-798b-4f08-b9ec-b90963d1ddaa" />
    </dependencies>
  </settings>
  <region id="0" left="18" top="18" width="145" height="26" color="#000000" bgColor="#ffff80" fontSize="10">
    <math>
      <input>
        <e type="operand">A</e>
        <e type="operand">B</e>
        <e type="operand">#</e>
        <e type="operand">#</e>
        <e type="function" preserve="true" args="4">stack</e>
      </input>
    </math>
  </region>
  <region id="1" left="0" top="54" width="9" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p />
    </text>
  </region>
  <region id="2" left="18" top="54" width="645" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Stapeln Matrizen A und B und eventuell weiterer Matrizen gleicher Spaltenzahlzu einer neuen Matrix</p>
    </text>
    <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>
  </region>
  <region id="3" left="18" top="99" width="208" height="99" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <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">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>
        <e type="operand">2</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="6">mat</e>
        <e type="function" preserve="true" args="2">stack</e>
      </input>
      <result action="numeric">
        <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">1</e>
        <e type="operand">4</e>
        <e type="operand">3</e>
        <e type="operand">8</e>
        <e type="operand">5</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="12">mat</e>
      </result>
    </math>
  </region>
  <region id="4" left="18" top="198" width="164" height="63" 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="function" preserve="true" args="3">stack</e>
      </input>
      <result action="numeric">
        <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>
      </result>
    </math>
  </region>
  <region id="5" left="198" top="207" width="337" height="56" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Zusammenbau eines Vektors aus Skalaren. Man kann die Skalare aberauch direkt in einen Vektor schreiben.</p>
    </text>
    <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>
  </region>
  <region id="6" left="558" top="207" width="73" height="63" 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>
      </input>
      <result action="numeric">
        <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>
      </result>
    </math>
  </region>
  <region id="7" left="18" top="261" width="150" height="81" 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>
      </input>
      <result action="numeric">
        <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>
      </result>
    </math>
  </region>
  <region id="8" left="198" top="270" width="323" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Anhängen eines Skalars an einen Vektor</p>
    </text>
    <text lang="eng">
      <p>Append a scalar to a vector</p>
    </text>
  </region>
  <region id="9" left="18" top="360" width="150" height="63" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <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>
      </input>
      <result action="numeric">
        <e type="operand">5</e>
        <e type="operand">7</e>
        <e type="operand">3</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="10" left="198" top="360" width="360" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Voranstellen eines Skalars an einen Vektor </p>
    </text>
    <text lang="eng">
      <p>Prepend a scalar on top of a vector.</p>
    </text>
  </region>
  <region id="11" left="18" top="432" width="544" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p bold="true">So können Sie eine Matrix zeilenweise in einer Schleife aufbauen:</p>
    </text>
    <text lang="eng">
      <p bold="true">Generation of a matrix row by row in a loop</p>
    </text>
  </region>
  <region id="12" left="18" top="468" 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>
      </input>
    </math>
  </region>
  <region id="13" left="288" top="468" width="409" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Initialisieren einer leeren zweispaltigen Matrix </p>
    </text>
    <text lang="eng">
      <p>Initialize the matrix with 0 rows and 2 columns</p>
    </text>
  </region>
  <region id="14" left="18" top="495" width="199" height="64" 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>
        <e type="function" preserve="true" args="2">stack</e>
        <e type="operator" args="2">:</e>
        <e type="function" preserve="true" args="3">for</e>
      </input>
    </math>
  </region>
  <region id="15" left="288" top="504" width="229" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Hinzufügen weiterer  Zeilen</p>
    </text>
    <text lang="eng">
      <p>create and add more rows</p>
    </text>
  </region>
  <region id="16" left="18" top="558" width="213" height="108" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">M</e>
      </input>
      <result action="numeric">
        <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">3.2311</e>
        <e type="operand">10</e>
        <e type="operand">15</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">5</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="12">mat</e>
      </result>
    </math>
  </region>
  <region id="17" left="234" top="558" width="157" height="84" color="#000000" bgColor="#ffffff" fontSize="10">
    <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>
    </plot>
  </region>
  <region id="18" left="18" top="684" 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="19" left="18" top="702" width="61" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="contents.sm">Inhalt</p>
    </text>
    <text lang="eng">
      <p href="contents.sm">Contents</p>
    </text>
  </region>
  <region id="20" left="18" top="738" width="441" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p italic="true">$Author: mkraska $$Date: 2017-01-22 00:29:25 +0100 (So, 22 Jan 2017) $ </p>
    </text>
  </region>
</regions>