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<?application progid="SMath Studio Desktop" version="0.98.6179.21440"?>
<regions>
  <settings>
    <identity>
      <id>be8ed228-7b9f-4d88-9521-f6039e697cd5</id>
      <revision>75</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" />
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      <assembly name="Custom Functions" version="1.1.6100.11764" guid="18dadffd-79a3-4cf9-aee1-d66deb0ea720" />
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  </settings>
  <region id="0" left="18" top="9" width="95" height="42" color="#000000" bgColor="#ffff80" fontSize="10">
    <math>
      <input>
        <e type="operand">expr</e>
        <e type="operand">subst</e>
        <e type="function" preserve="true" args="2">at</e>
      </input>
    </math>
  </region>
  <region id="1" left="180" top="18" width="127" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>at(expr;subst)</p>
    </text>
  </region>
  <region id="2" left="18" top="54" width="103" height="42" color="#000000" bgColor="#ffff80" fontSize="10">
    <math>
      <input>
        <e type="operand">expr</e>
        <e type="operand">subst2</e>
        <e type="operand">subst1</e>
        <e type="function" preserve="true" args="3">at</e>
      </input>
    </math>
  </region>
  <region id="3" left="180" top="63" width="193" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>at(expr;subst2;subst1)</p>
    </text>
  </region>
  <region id="4" left="18" top="117" width="202" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Bestandteil des Plugins</p>
    </text>
    <text lang="fre">
      <p>Part du plugin</p>
    </text>
    <text lang="eng">
      <p>Part of plugin</p>
    </text>
  </region>
  <region id="5" left="234" top="117" width="143" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Plugin Custom Functions.sm">Custom Functions</p>
    </text>
  </region>
  <region id="6" left="18" top="153" width="710" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Substitutionsfunktion, erlaubt die Ersetzung von Variablen in Ausdrücken, so dass derAusdruck wie eine Funktion verwendet werden kann </p>
    </text>
    <text lang="fre">
      <p>Remplace les variables dans expr par les valeurs dans subst, de façon à gérer expr juste comme une fonction avec ses variables.  </p>
    </text>
    <text lang="eng">
      <p>Substitutes variables in expr by values given in subst, such that expr can be handledjust like a function of it's variables. </p>
    </text>
  </region>
  <region id="7" left="36" top="207" width="45" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">expr</e>
      </input>
    </math>
  </region>
  <region id="8" left="117" top="207" width="9" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p />
    </text>
  </region>
  <region id="9" left="117" top="207" width="400" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Ausdruck, in den Werte eingesetzt werden sollen </p>
    </text>
    <text lang="fre">
      <p>Expression, à laquelle la substitution est appliquée</p>
    </text>
    <text lang="eng">
      <p>Expression, to which the substitution is applied</p>
    </text>
  </region>
  <region id="10" left="36" top="234" width="53" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">subst</e>
      </input>
    </math>
  </region>
  <region id="11" left="117" top="234" width="587" height="56" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Werte, die für die Variablen in expr einzusetzen sind. Sie werden als Boolsche Gleichung Variable=Wert angegeben, mehrere Ersetzungen werdenals Liste zusammengefasst.  </p>
    </text>
    <text lang="fre">
      <p>Valeurs à utiliser pour les variables dans expr. Les valeurs sont donnéesen tant qu'équations de variables booléenne : variable=value. De multiples substitutions sont attachées à une liste.</p>
    </text>
    <text lang="eng">
      <p>Values to use for the variables in expr. The values are given as boolean equations variable=value. Multiple substitutions are combinedin a list.</p>
    </text>
  </region>
  <region id="12" left="117" top="297" width="123" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">g</e>
        <e type="operand">h</e>
        <e type="operand">j</e>
        <e type="operator" args="2">+</e>
        <e type="operand">k</e>
        <e type="operator" args="2">-</e>
        <e type="operand">100</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="13" left="117" top="324" width="121" height="81" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">g</e>
        <e type="operand">h</e>
        <e type="operand">1</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">j</e>
        <e type="operand">2</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">k</e>
        <e type="operand">3</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
        <e type="function" preserve="true" args="2">at</e>
      </input>
      <result action="numeric">
        <e type="operand">100</e>
      </result>
    </math>
  </region>
  <region id="14" left="252" top="333" width="42" height="35" color="#000000" bgColor="#ffffff">
    <picture>
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  </region>
  <region id="15" left="297" top="342" width="28" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">at</e>
      </input>
    </math>
  </region>
  <region id="16" left="324" top="342" width="37" height="24" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Tab</p>
    </text>
  </region>
  <region id="17" left="360" top="342" width="53" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>g;sys</p>
    </text>
  </region>
  <region id="18" left="414" top="342" width="37" height="24" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Tab</p>
    </text>
  </region>
  <region id="19" left="450" top="342" width="20" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">h</e>
      </input>
    </math>
  </region>
  <region id="20" left="468" top="342" width="61" height="24" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Strg +</p>
    </text>
    <text lang="eng">
      <p>Ctrl +</p>
    </text>
  </region>
  <region id="21" left="531" top="342" width="20" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">1</e>
      </input>
    </math>
  </region>
  <region id="22" left="342" top="378" width="53" height="24" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p> Leer </p>
    </text>
    <text lang="eng">
      <p>Space</p>
    </text>
  </region>
  <region id="23" left="396" top="378" width="53" height="24" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p> Leer </p>
    </text>
    <text lang="eng">
      <p>Space</p>
    </text>
  </region>
  <region id="24" left="450" top="378" width="20" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">j</e>
      </input>
    </math>
  </region>
  <region id="25" left="468" top="378" width="61" height="24" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Strg +</p>
    </text>
    <text lang="eng">
      <p>Ctrl +</p>
    </text>
  </region>
  <region id="26" left="531" top="378" width="20" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">2</e>
      </input>
    </math>
  </region>
  <region id="27" left="342" top="405" width="53" height="24" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p> Leer </p>
    </text>
    <text lang="eng">
      <p>Space</p>
    </text>
  </region>
  <region id="28" left="396" top="405" width="53" height="24" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p> Leer </p>
    </text>
    <text lang="fre">
      <p>Espace</p>
    </text>
    <text lang="eng">
      <p>Space</p>
    </text>
  </region>
  <region id="29" left="450" top="405" width="20" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">k</e>
      </input>
    </math>
  </region>
  <region id="30" left="468" top="405" width="61" height="24" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Strg +</p>
    </text>
    <text lang="eng">
      <p>Ctrl +</p>
    </text>
  </region>
  <region id="31" left="531" top="405" width="28" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>3=</p>
    </text>
  </region>
  <region id="32" left="117" top="441" width="106" height="42" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operator" args="2">*</e>
        <e type="operand">y</e>
        <e type="operand">1</e>
        <e type="operator" args="2">≡</e>
        <e type="function" preserve="true" args="2">at</e>
      </input>
      <result action="symbolic">
        <e type="operand">x</e>
      </result>
    </math>
  </region>
  <region id="33" left="234" top="441" width="119" height="63" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operator" args="2">*</e>
        <e type="operand">y</e>
        <e type="operand">2</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">x</e>
        <e type="operand">3</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="function" preserve="true" args="2">at</e>
      </input>
      <result action="symbolic">
        <e type="operand">6</e>
      </result>
    </math>
  </region>
  <region id="34" left="369" top="441" width="294" height="65" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operand">y</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operator" args="2">+</e>
        <e type="operand">y</e>
        <e type="operand">x</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="function" preserve="true" args="2">at</e>
      </input>
      <result action="symbolic">
        <e type="operand">y</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operator" args="2">+</e>
      </result>
    </math>
  </region>
  <region id="35" left="234" top="513" width="144" height="60" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operator" args="2">*</e>
        <e type="operand">y</e>
        <e type="operand">2</e>
        <e type="operator" args="2">≡</e>
        <e type="function" preserve="true" args="2">at</e>
        <e type="operand">x</e>
        <e type="operand">3</e>
        <e type="operator" args="2">≡</e>
        <e type="function" preserve="true" args="2">at</e>
      </input>
      <result action="numeric">
        <e type="operand">6</e>
      </result>
    </math>
  </region>
  <region id="36" left="117" top="585" width="581" height="56" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Es können auch einfach Werte angegeben werden, deren Anzahl muss dann mit der Variablenanzahl in expr übereinstimmen. Die Werte werden inalphabetischer Reihenfolge eingesetzt. </p>
    </text>
    <text lang="fre">
      <p>De simples valeurs peuvent être données à la place d'équations, si leur nombre correspond au nombre de variables dans l'expression destinataire. Les valeurs sont utilisées pour les variables en ordre alphabétique.</p>
    </text>
    <text lang="eng">
      <p>simple values can be given instead of equations, if their number matchesthe number of variables in the target expression. The values are used for the variables in alphabetic order.</p>
    </text>
  </region>
  <region id="37" left="117" top="648" width="273" height="65" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operand">y</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operator" args="2">+</e>
        <e type="operand">y</e>
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="function" preserve="true" args="2">at</e>
      </input>
      <result action="symbolic">
        <e type="operand">y</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operator" args="2">+</e>
      </result>
    </math>
  </region>
  <region id="38" left="396" top="657" width="144" height="62" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">diff</e>
        <e type="operand">π</e>
        <e type="function" preserve="true" args="2">at</e>
      </input>
      <result action="symbolic">
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="39" left="18" top="729" width="669" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Wird die Funktion mit drei Argumenten benutzt, dann wird die Differenz gebildet:</p>
    </text>
    <text lang="fre">
      <p>Si deux points sont données la différence is calculée :</p>
    </text>
    <text lang="eng">
      <p>If two points are given, then the difference is formed:</p>
    </text>
  </region>
  <region id="40" left="117" top="765" width="151" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">b</e>
        <e type="operand">a</e>
        <e type="function" preserve="true" args="3">at</e>
      </input>
      <result action="symbolic">
        <e type="operand">a</e>
        <e type="function" args="1">f</e>
        <e type="operand">b</e>
        <e type="function" args="1">f</e>
        <e type="operator" args="2">-</e>
      </result>
    </math>
  </region>
  <region id="41" left="18" top="819" width="95" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">f</e>
        <e type="operand">a</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="42" left="117" top="819" width="256" height="90" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="0.81" scale_y="0.891" scale_z="0.72171" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="0" transpose_y="0" transpose_z="0">
      <input>
        <e type="operand">f</e>
        <e type="operand">a</e>
        <e type="operand">1</e>
        <e type="operator" args="2">≡</e>
        <e type="function" preserve="true" args="2">at</e>
        <e type="operand">f</e>
        <e type="operand">a</e>
        <e type="operand">2</e>
        <e type="operator" args="2">≡</e>
        <e type="function" preserve="true" args="2">at</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
      </input>
    </plot>
  </region>
  <region id="43" left="18" top="999" width="127" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Function index.sm">Funktionsindex</p>
    </text>
    <text lang="fre">
      <p href="Function index.sm">Liste de fonctions</p>
    </text>
    <text lang="eng">
      <p href="Function index.sm">Function index</p>
    </text>
  </region>
  <region id="44" left="18" top="1017" width="61" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="contents.sm">Inhalt</p>
    </text>
    <text lang="fre">
      <p href="contents.sm">Contenu</p>
    </text>
    <text lang="eng">
      <p href="contents.sm">Contents</p>
    </text>
  </region>
  <region id="45" left="18" top="1044" width="451" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p italic="true">$Author: mkraska $$Date :2014-02-11 00:02:35 +0100 (Di, 11. Feb 2014) $ </p>
    </text>
    <text lang="fre">
      <p italic="true">$Auteur : mkraska $$Date : 2014-02-11 00:02:35 +0100 (Di, 11. Feb 2014) $ </p>
    </text>
  </region>
  <region id="46" left="18" top="1107" width="200" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p italic="true">$Revision: Davide Carpi$Date: 2016-01-17 $ </p>
    </text>
  </region>
</regions>