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      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
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        <e type="operand">f</e>
        <e type="operand">x</e>
        <e type="function" args="2">solve</e>
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  <region id="1" left="441" top="18" width="242" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
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      <p href="Section NLsolve.sm">Nichtlineare Gleichungen</p>
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    <text lang="eng">
      <p href="Section NLsolve.sm">Solving Non-Linear Equations</p>
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        <e type="operand">x</e>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="function" args="4">solve</e>
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      <p href="Function index.sm">Funktionsindex</p>
    </text>
    <text lang="eng">
      <p href="Function index.sm">Function index</p>
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      <p href="contents.sm">Inhalt</p>
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    <text lang="eng">
      <p href="contents.sm">Contents</p>
    </text>
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  <region id="5" left="18" top="90" width="691" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Nichtlinearer Löser. Sucht alle Lösungen  für f(x) im angegebenen Intervall. Sowohlf als auch x müssen skalar sein (einzelne Gleichung einer einzelnen Unbekannten). </p>
    </text>
    <text lang="eng">
      <p>Nonlinear Solver. Finds all solutions of a single equation for a scalar variable inthe given interval.</p>
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    <math decimalPlaces="4">
      <input>
        <e type="operand">f</e>
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  <region id="7" left="99" top="144" width="429" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Ausdruck, die nach der Unbekannten x aufgelöst werden sollen. Ist der Ausdruck keine Gleichung, dann werden seine Nullstellen ermittelt.</p>
    </text>
    <text lang="eng">
      <p>expression to be solved. If an expression is not an equation, then it's roots are solved for.</p>
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  <region id="8" left="99" top="144" width="9" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p />
    </text>
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  <region id="9" left="18" top="198" width="20" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">x</e>
      </input>
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  <region id="10" left="99" top="198" width="651" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Variable, nach der aufgelöst werden soll. Diese muss dimensionslos sein.</p>
    </text>
    <text lang="eng">
      <p>variable name to solve for. The solution must be dimensionless (without units)</p>
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  <region id="11" left="18" top="234" width="20" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">a</e>
      </input>
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  <region id="12" left="99" top="234" width="257" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Untergrenze des Suchbereichs</p>
    </text>
    <text lang="eng">
      <p>Lower bound of search interval</p>
    </text>
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  <region id="13" left="18" top="270" width="20" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">b</e>
      </input>
    </math>
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  <region id="14" left="99" top="270" width="257" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Obergrenze des Suchbereichs</p>
    </text>
    <text lang="eng">
      <p>Upper bound of search interval</p>
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    <text lang="ger">
      <p>Ist der Suchbereich nicht angegeben, dann wird im voreingestellten Intervall gesucht.Diese Einstellung kann über das Hauptmenü geändert werden:</p>
    </text>
    <text lang="eng">
      <p>If the search interval is not specified, the default interval is used. This defaultcan be set globally via menu:</p>
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  <region id="16" left="18" top="360" width="357" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p bold="true">Extras&gt; Einstellungen&gt; Berechnung&gt; Wurzeln (Bereich)</p>
    </text>
    <text lang="eng">
      <p bold="true">Tools&gt; Options&gt; Calculation&gt; Roots (range)</p>
    </text>
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      <p>Die Voreinstellung ist von-20 bis 20.</p>
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    <text lang="eng">
      <p>Default setting is from -20 to 20</p>
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</raw>
    </picture>
  </region>
  <region id="19" left="18" top="675" width="78" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p underline="true">Beispiele</p>
    </text>
    <text lang="eng">
      <p underline="true">Examples</p>
    </text>
  </region>
  <region id="20" left="18" top="702" width="268" height="68" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="0.596053836885588" scale_y="0.0128365160928527" scale_z="0.0326320539548762" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="4" transpose_y="4" transpose_z="0">
      <input>
        <e type="operand">x</e>
        <e type="operand" style="unit">°</e>
        <e type="operator" args="2">*</e>
        <e type="function" args="1">sin</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" args="4">sys</e>
      </input>
    </plot>
  </region>
  <region id="21" left="18" top="810" width="362" height="81" color="#000000" bgColor="#ffffff" fontSize="10">
    <math fractionType="auto" decimalPlaces="4">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">sin</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="operand">π</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operand">π</e>
        <e type="operator" args="2">*</e>
        <e type="function" args="4">solve</e>
      </input>
      <contract>
        <e type="operand" style="unit">°</e>
      </contract>
      <result action="numeric">
        <e type="operand">330.0002</e>
        <e type="operator" args="1">-</e>
        <e type="operand">210.0001</e>
        <e type="operator" args="1">-</e>
        <e type="operand">29.9998</e>
        <e type="operand">149.9999</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" args="6">mat</e>
      </result>
    </math>
  </region>
  <region id="22" left="18" top="909" width="287" height="63" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">3</e>
        <e type="operand">x</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">x</e>
        <e type="function" args="2">solve</e>
      </input>
      <result action="numeric">
        <e type="operand">0.8165</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">0.8162</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" args="5">mat</e>
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    </math>
  </region>
  <region id="23" left="306" top="909" width="156" height="103" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="1.27769433490551" scale_y="4.70476873719673" scale_z="11.9601195656897" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="3" transpose_y="1" transpose_z="0">
      <input>
        <e type="operand">3</e>
        <e type="operand">x</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
      </input>
    </plot>
  </region>
  <region id="24" left="18" top="1053" width="242" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Section NLsolve.sm">Nichtlineare Gleichungen</p>
    </text>
    <text lang="eng">
      <p href="Section NLsolve.sm">Solving Non-Linear Equations</p>
    </text>
  </region>
  <region id="25" left="18" top="1071" 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="26" left="18" top="1089" width="78" 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="27" left="18" top="1134" width="450" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p italic="true">$Author: mkraska $$Date: 2014-09-06 11:32:19 +0200 (Sa, 06. Sep 2014) $ </p>
    </text>
  </region>
</regions>