﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio Desktop" version="0.96.4909.6802"?>
<regions>
  <settings>
    <identity>
      <id>be8ed228-7b9f-4d88-9521-f6039e697cd5</id>
      <revision>26</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>
    <dependences>
      <assembly name="SMath Studio Desktop" version="0.96.4909.6802" guid="a37cba83-b69c-4c71-9992-55ff666763bd" />
      <assembly name="Math Region" version="0.96.4909.6802" guid="02f1ab51-215b-466e-a74d-5d8b1cf85e8d" />
      <assembly name="Text Region" version="1.9.4909.6785" guid="485d28c5-349a-48b6-93be-12a35a1c1e39" />
      <assembly name="Custom Functions" version="1.0.4902.41872" guid="18dadffd-79a3-4cf9-aee1-d66deb0ea720" />
      <assembly name="Nonlinear Solvers" version="1.0.9999.5" guid="618b7e96-330a-406a-b055-9e577672f0b8" />
      <assembly name="Picture Region" version="1.9.4909.6762" guid="06b5df04-393e-4be7-9107-305196fcb861" />
      <assembly name="Special Functions" version="1.10.4909.6779" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
    </dependences>
  </settings>
  <region id="0" left="9" top="18" width="171" height="26" color="#000000" bgColor="#ffff80" fontSize="10">
    <math>
      <input>
        <e type="operand">var1</e>
        <e type="operand">var2</e>
        <e type="operand">#</e>
        <e type="function" preserve="true" args="3">Clear</e>
      </input>
    </math>
  </region>
  <region id="1" left="9" top="54" width="202" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Part of plugin</p>
    </text>
    <text lang="ger">
      <p>Bestandteil des Plugins</p>
    </text>
  </region>
  <region id="2" left="225" top="54" 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="3" left="0" top="90" width="9" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p />
    </text>
  </region>
  <region id="4" left="9" top="90" width="360" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Deletes the values of the argument variables.</p>
    </text>
    <text lang="ger">
      <p>Löscht die  Werte der gelisteten Variablen.</p>
    </text>
  </region>
  <region id="5" left="18" top="126" width="43" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">A</e>
        <e type="operand">0</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="6" left="81" top="126" width="43" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">B</e>
        <e type="operand">1</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="7" left="153" top="126" width="43" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">C</e>
        <e type="operand">0</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="8" left="270" top="144" width="453" height="40" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p bold="true">The function must be evaluated in order to be executed(display or assign the result using = or := )</p>
    </text>
    <text lang="ger">
      <p bold="true">Die Funktion muss ausgewertet werden, damitsie ausgeführt wird (Zuweisung oder Ergebnisanzeige)</p>
    </text>
  </region>
  <region id="9" left="18" top="162" width="106" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">A</e>
        <e type="function" preserve="true" args="1">Clear</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
      </result>
    </math>
  </region>
  <region id="10" left="72" top="198" width="53" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="2">
      <input>
        <e type="operand">A</e>
      </input>
      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="11" left="144" top="198" width="53" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">B</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
      </result>
    </math>
  </region>
  <region id="12" left="198" top="198" width="53" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">C</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
      </result>
    </math>
  </region>
  <region id="13" left="18" top="234" width="130" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">B</e>
        <e type="operand">C</e>
        <e type="function" preserve="true" args="2">Clear</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
      </result>
    </math>
  </region>
  <region id="14" left="72" top="261" width="53" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="2">
      <input>
        <e type="operand">A</e>
      </input>
      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="15" left="144" top="261" width="53" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="2">
      <input>
        <e type="operand">B</e>
      </input>
      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="16" left="198" top="261" width="53" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="2">
      <input>
        <e type="operand">C</e>
      </input>
      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="17" top="288" color="#000000" bgColor="#ffffff">
    <area collapsed="false">
      <title lang="eng">
        <p>Example</p>
      </title>
      <title lang="ger">
        <p>Beispiel</p>
      </title>
    </area>
    <region id="18" left="9" top="315" width="677" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p>Clear() can be used to change the unknowns in a system of equations.</p>
      </text>
      <text lang="ger">
        <p>Clear() kann benutzt werden, um die Unbekannten in Gleichungssystemen zu wechseln</p>
      </text>
    </region>
    <region id="19" left="9" top="342" width="77" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
      <math optimize="2">
        <input>
          <e type="operand">A</e>
          <e type="operand">10</e>
          <e type="operand" style="unit">m</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="20" left="99" top="342" width="69" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
      <math optimize="2">
        <input>
          <e type="operand">V</e>
          <e type="operand">1</e>
          <e type="operand" style="unit">m</e>
          <e type="operand">3</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="21" left="252" top="351" width="258" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p>Initially, A and V are given.</p>
      </text>
      <text lang="ger">
        <p>Zunächst sind A und V gegeben.</p>
      </text>
    </region>
    <region id="22" left="9" top="378" width="214" height="46" color="#000000" bgColor="#ffffff" fontSize="10">
      <math optimize="2">
        <input>
          <e type="operand">eq</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">A</e>
          <e type="operand">2</e>
          <e type="operand">π</e>
          <e type="operand">4</e>
          <e type="operator" args="2">/</e>
          <e type="operand">d</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operand">2</e>
          <e type="operand">π</e>
          <e type="operator" args="2">*</e>
          <e type="operand">d</e>
          <e type="operator" args="2">*</e>
          <e type="operand">h</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">≡</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="23" left="252" top="387" width="308" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p>Now we define the system of equations.</p>
      </text>
      <text lang="ger">
        <p>Das Gleichungssystem wird definiert.</p>
      </text>
    </region>
    <region id="24" left="9" top="423" width="140" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
      <math optimize="2">
        <input>
          <e type="operand">eq</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">V</e>
          <e type="operand">π</e>
          <e type="operand">4</e>
          <e type="operator" args="2">/</e>
          <e type="operand">d</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operand">h</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">≡</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="25" left="9" top="468" width="148" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">eq</e>
          <e type="function" preserve="true" args="1">Unknowns</e>
        </input>
        <result action="symbolic">
          <e type="operand">d</e>
          <e type="operand">h</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="26" left="252" top="477" width="439" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p>The unknowns are d and h.</p>
      </text>
      <text lang="ger">
        <p>Die Unbekannten (undefinierte Variable) sind d und h</p>
      </text>
    </region>
    <region id="27" left="9" top="522" width="106" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">A</e>
          <e type="function" preserve="true" args="1">Clear</e>
        </input>
        <result action="numeric">
          <e type="operand">1</e>
        </result>
      </math>
    </region>
    <region id="28" left="135" top="522" width="57" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">h</e>
          <e type="operand">2</e>
          <e type="operand" style="unit">m</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="29" left="252" top="522" width="316" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p>A is cleared and h is given. </p>
      </text>
      <text lang="ger">
        <p>Nun wird A gelöscht und h vorgegeben.</p>
      </text>
    </region>
    <region id="30" left="9" top="558" width="148" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">eq</e>
          <e type="function" preserve="true" args="1">Unknowns</e>
        </input>
        <result action="symbolic">
          <e type="operand">A</e>
          <e type="operand">d</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="31" left="252" top="567" width="275" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p>Now the unknowns are A and d</p>
      </text>
      <text lang="ger">
        <p>Die Unbekannten sind nun A und d</p>
      </text>
    </region>
    <region id="32" top="594" color="#000000" bgColor="#ffffff">
      <area terminator="true" />
    </region>
  </region>
  <region id="33" left="9" top="612" width="701" height="40" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>A cleared variable is not entirely equivalent to a virgin, unused variable. The value isindeed undefined, but the type is "statement block", i.e. line().</p>
    </text>
    <text lang="ger">
      <p>Eine gelöschte Variable ist nicht völlig gleichwertig zu einer unbenutzten Variable.Sie ist zwar wertmäßig undefiniert, aber vom Typ "Anweisungsblock", also line()</p>
    </text>
  </region>
  <region id="34" top="657" color="#000000" bgColor="#ffffff">
    <area collapsed="false">
      <title lang="ger">
        <p>Details</p>
      </title>
    </area>
    <region id="35" left="18" top="675" width="20" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">A</e>
        </input>
      </math>
    </region>
    <region id="36" left="45" top="675" width="54" height="52" color="#000000" bgColor="#ffffff">
      <picture>
        <raw format="png" encoding="base64">iVBORw0KGgoAAAANSUhEUgAAAC4AAAAsCAYAAAAacYo8AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADtSURBVGhD7ZKNDoUgCEZ7/7e8T2LXBmmE/GzOScPt1OgzObGOEnSl+Op1/Fe9RCTe0In4LwgpvpqF4tCIzfykuM5y8VkNtXN8fYwTtx84BhqxGWLvY5x4f6fAASzcvv5ZD2bSnsYEcSvQiM0qvj5fnTiED+geK9L7/fnSvoZBXKo9QKNhJtVvBHEI7kNo7WX0Lj2X1jyGf3wWuoyHFNdJ8YsU10nxixTX+ay4lj/ZbOJa3ths4v1dJsV1oBGbVTCT9jQ2Ecesh9vX2Ehcqt9sII7PMaM1z0b/uI8U1wkrPpfviMdZt3hI4COCrVJOsbpDDEjsBAIAAAAASUVORK5CYII=</raw>
      </picture>
    </region>
    <region id="37" left="126" top="675" width="594" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p>The dynamic assistant reveals: A is of type line(). This "dirty" trickis the only way known so far, to clear a variable.</p>
      </text>
      <text lang="ger">
        <p>Die dynamische Hilfe zeigt: A ist ein Anweisungsblock. Dieser Trick istbislang der einzige bekannte Weg, den Wert einer Variable zu löschen.</p>
      </text>
    </region>
    <region id="38" left="18" top="729" width="703" height="56" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p>If you assign an element of a virgin variable, then the type of the variable is silently assumed to be matrix(). Type line() already is an array type, thus the typeis not changed by element assignment.</p>
      </text>
      <text lang="ger">
        <p>Bei unbenutzten Variablen wird bei Zuweisung von Elementen mit Adressindizes implizit der Typ "Matrix" angenommen. Da aber ein Anweisungsblock eine adressierbareStruktur ist, wird der Typ nicht geändert und die Wirkung ist eine andere.</p>
      </text>
    </region>
    <region id="39" left="18" top="792" width="57" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
      <math optimize="2">
        <description active="true" position="Top" lang="eng">
          <p>virgin variable</p>
        </description>
        <description active="true" position="Top" lang="ger">
          <p>unbenutzte Variable</p>
        </description>
        <input>
          <e type="operand">a</e>
          <e type="operand">2</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="40" left="279" top="792" width="57" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <description active="true" position="Top" lang="eng">
          <p>Cleared variable</p>
        </description>
        <description active="true" position="Top" lang="ger">
          <p>Gelöschte Variable</p>
        </description>
        <input>
          <e type="operand">A</e>
          <e type="operand">2</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="41" left="18" top="846" width="20" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">a</e>
        </input>
      </math>
    </region>
    <region id="42" left="279" top="846" width="20" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">A</e>
        </input>
      </math>
    </region>
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          <e type="operand">c</e>
        </input>
        <result action="numeric">
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">1</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="59" left="558" top="1053" width="168" height="120" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p>Assignments to elements outsidethe first column arenot valid for typeline(), thus the result isunpredictable</p>
      </text>
      <text lang="ger">
        <p>Zuweisung auf andere als die erste Zeile ist fürAnweisungsblöcke nicht erklärt undführt zu unvorher-sehbarem Verhalten</p>
      </text>
    </region>
    <region id="60" left="279" top="1071" width="268" height="110" color="#000000" bgColor="#ffffff">
      <picture>
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      </picture>
    </region>
    <region id="61" left="279" top="1179" width="442" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p>For elementwise assignment to work, first change the type to matrix</p>
      </text>
      <text lang="ger">
        <p>Damit die elementweise Zuweisung funktioniert, muss vorher der Typ in Matrix umgewandelt werden.</p>
      </text>
    </region>
    <region id="62" left="279" top="1215" width="128" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">C</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="function" preserve="true" args="2">matrix</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="63" left="279" top="1242" width="71" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">C</e>
          <e type="operand">2</e>
          <e type="operand">2</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="64" left="360" top="1242" width="81" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">C</e>
          <e type="operand">2</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="3">el</e>
        </input>
        <result action="numeric">
          <e type="operand">1</e>
        </result>
      </math>
    </region>
    <region id="65" left="441" top="1242" width="78" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">C</e>
        </input>
        <result action="numeric">
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">0</e>
          <e type="operand">1</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="66" top="1287" color="#000000" bgColor="#ffffff">
      <area terminator="true" />
    </region>
  </region>
  <region id="67" left="9" top="1323" width="94" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Unknowns.sm">Unknowns()</p>
    </text>
  </region>
  <region id="68" left="9" top="1350" 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="69" left="9" top="1386" 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="70" left="9" top="1404" 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="9" top="1431" width="188" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p italic="true">M. Kraska, 2013-06-22 </p>
    </text>
  </region>
</regions>