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      <revision>85</revision>
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      <exponentialThreshold>5</exponentialThreshold>
      <fractions>decimal</fractions>
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      <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>
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      <input>
        <e type="operand">f</e>
        <e type="operand">x.0</e>
        <e type="function" preserve="true" args="2">Gradient.CD</e>
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  <region id="2" left="18" top="90" width="126" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Bestandteil des Plugins</p>
    </text>
    <text lang="eng">
      <p>Part of plugin</p>
    </text>
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  <region id="3" left="234" top="90" width="152" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Plugin Nonlinear Solvers.sm">Nonlinear Solvers</p>
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  <region id="4" left="18" top="126" width="693" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Berechnet den Gradient von f in Richtung von x numerisch. Das Ergebnis ist eine Liste 
von n  Listen mit partiellen Ableitungen der m  Funktionen.</p>
    </text>
    <text lang="eng">
      <p>Computes the gradient of f in direction of x numerically. The result is a list of n 
lists with the partial derivatives of the m functions.</p>
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  <region id="5" left="18" top="180" width="20" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">f</e>
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  <region id="6" left="135" top="180" width="398" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>m-dimensionale Funktion (Skalar, Liste oder Vektor)</p>
    </text>
    <text lang="eng">
      <p>m-dimensional function (scalar, list or vector)</p>
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  <region id="7" left="18" top="207" width="20" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
      </input>
    </math>
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  <region id="8" left="135" top="207" width="332" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>n-dimensionaler Punkt (Skalar, Liste oder Vektor)</p>
    </text>
    <text lang="eng">
      <p>Location, where to compute the gradient</p>
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  <region id="9" left="18" top="234" width="20" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">h</e>
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  <region id="10" left="135" top="234" width="456" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Störung für die Berechnung des Differenzenquotienten</p>
    </text>
    <text lang="eng">
      <p>perturbation for computing the quotient of differences</p>
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  <region id="11" left="18" top="261" width="274" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Skalare Funktion, einzelne Variable</p>
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    <text lang="eng">
      <p>Scalar function, single variable</p>
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  <region id="12" left="36" top="288" width="209" height="33" 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">0</e>
        <e type="function" preserve="true" args="2">Gradient.CD</e>
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      <result action="symbolic">
        <e type="operand">1</e>
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  <region id="13" left="270" top="288" width="218" height="33" 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">π</e>
        <e type="function" preserve="true" args="2">Gradient.CD</e>
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      <result action="numeric">
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
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  <region id="14" left="18" top="333" width="299" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Skalare Funktion, mehrere Variablen</p>
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    <text lang="eng">
      <p>Scalar function, multiple variables</p>
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  <region id="15" left="36" top="360" width="314" height="46" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">r</e>
        <e type="operand">φ</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operand">45</e>
        <e type="operand" style="unit">°</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">Gradient.CD</e>
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        <e type="operand">0.7071</e>
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        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
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  <region id="16" left="18" top="450" width="324" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Vekorielle Funktion, mehrere Variablen</p>
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    <text lang="eng">
      <p>Vectorial function, multiple variables</p>
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  <region id="17" left="36" top="477" width="264" height="50" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="4">
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        <e type="operand">φ</e>
        <e type="function" preserve="true" args="1">cos</e>
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        <e type="operand">φ</e>
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        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
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        <e type="operand">45</e>
        <e type="operand" style="unit">°</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">Gradient.CD</e>
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      <result action="symbolic">
        <e type="operand">#</e>
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  <region id="18" left="18" top="675" width="152" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Plugin Nonlinear Solvers.sm">Nonlinear Solvers</p>
    </text>
  </region>
  <region id="19" left="18" top="702" 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="20" left="18" top="720" width="78" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Handbook.sm">Inhalt</p>
    </text>
    <text lang="eng">
      <p href="Handbook.sm">Contents</p>
    </text>
  </region>
  <region id="21" left="18" top="756" 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>
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