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      <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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  <region id="0" left="9" top="18" width="111" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p bold="true">3D plots</p>
    </text>
    <text lang="ger">
      <p bold="true">3D-Diagramme</p>
    </text>
  </region>
  <region id="1" left="558" top="18" width="61" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p href="Chapter Graphics.sm">Graphics</p>
    </text>
    <text lang="ger">
      <p href="Chapter Graphics.sm">Grafik</p>
    </text>
  </region>
  <region id="2" left="18" top="54" width="684" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Currently, 3D plots are not really an asset of SMath Studio. There are essentially
three options to produce 3D plots:</p>
    </text>
    <text lang="ger">
      <p>Momentan sind 3D-Diagramme nicht wirklich eine Stärke von SMath Studio. Es gibt im
Wesentlichen drei Optionen, um zu 3D-Diagrammen zu kommen:</p>
    </text>
  </region>
  <region id="3" left="18" top="108" width="279" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>- built-in 3D plot region</p>
    </text>
    <text lang="ger">
      <p>- Eingebauter 3D-Diagrammbereich </p>
    </text>
  </region>
  <region id="4" left="18" top="126" width="381" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>- 3D plot region from plugin 3D PlotRegion</p>
    </text>
    <text lang="ger">
      <p>- 3D-Plotbereich aus dem Plugin 3D-PlotRegion</p>
    </text>
  </region>
  <region id="5" left="18" top="144" width="366" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>- plot functions of MapleV, accessed via MapleWrapper plugin</p>
    </text>
    <text lang="ger">
      <p>- Grafikfunktionen des Plugins MapleWrapper</p>
    </text>
  </region>
  <region id="6" left="18" top="180" width="259" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p bold="true">Built-in 3D plot region</p>
    </text>
    <text lang="ger">
      <p bold="true">Eingebauter 3D-Diagrammbereich</p>
    </text>
  </region>
  <region id="7" left="18" top="207" width="726" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>- plots functions f(x,y) and polygons given as three-column  x,y,z-co-ordinate matrices </p>
    </text>
    <text lang="ger">
      <p>- Stellt Funktionen f(x,y) und Polygonzüge (aus dreispaltigen x,y,z-Koordinatenmatrizen
    dar. </p>
    </text>
  </region>
  <region id="8" left="18" top="243" width="315" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>- can animate plots via parameter t</p>
    </text>
    <text lang="ger">
      <p>- kann über den Parameter t animieren</p>
    </text>
  </region>
  <region id="9" left="18" top="261" width="656" height="56" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>- problems: 
         - left-handed co-ordinate system, orientation is lost upon re-calculation and 
             save/reload
         - limited control of grid and axes scaling</p>
    </text>
    <text lang="ger">
      <p>- Probleme: 
         - Linkshändiges Koordinatensystem, verliert Orientierung bei Neuberechnung
         - Schlechte Kontrolle des Gitters und der Skalierung</p>
    </text>
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  <region id="10" left="27" top="342" width="240" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="3d" render="lines" scale_x="1" scale_y="1" scale_z="1" rotate_x="-133" rotate_y="115" rotate_z="0" transpose_x="0" transpose_y="0" transpose_z="0">
      <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>
      </input>
    </plot>
  </region>
  <region id="11" left="441" top="342" width="247" height="189" color="#000000" bgColor="#ffffff">
    <picture>
      <raw format="png" encoding="base64"> </raw>
    </picture>
  </region>
  <region id="12" left="459" top="351" width="103" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Screenshot!</p>
    </text>
  </region>
  <region id="13" left="27" top="522" width="185" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p href="Section 3D plots internal.sm">3D plots (internal)</p>
    </text>
    <text lang="ger">
      <p href="Section 3D plots internal.sm">3D-Diagramme (intern)</p>
    </text>
  </region>
  <region id="14" left="18" top="567" width="365" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p bold="true">3D plot region from corresponding plugin</p>
    </text>
    <text lang="ger">
      <p bold="true">3D-Plotbereich aus dem Plugin 3D-PlotRegion</p>
    </text>
  </region>
  <region id="15" left="18" top="603" width="182" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" args="2">f</e>
        <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="operator" args="2">:</e>
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  </region>
  <region id="16" left="225" top="612" width="520" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>The 3D Plot Region has format adjustment capabilities,
but changes by the user are not saved to the file.</p>
    </text>
    <text lang="ger">
      <p>Der 3D Plot-Bereich kennt einige Formatoptionen, aber 
geänderte Einstellungen werden nicht in der Datei gespeichert.</p>
    </text>
  </region>
  <region id="17" left="27" top="657" width="243" height="167" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot3d width="233" height="159">
      <input>
        <e type="operand">f</e>
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  </region>
  <region id="18" left="18" top="846" width="250" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p bold="true">MapleV plot functions</p>
    </text>
    <text lang="ger">
      <p bold="true">Diagrammfunktionen aus MapleV</p>
    </text>
  </region>
  <region id="19" left="9" top="900" width="61" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p href="Chapter Graphics.sm">Graphics</p>
    </text>
    <text lang="ger">
      <p href="Chapter Graphics.sm">Grafik</p>
    </text>
  </region>
  <region id="20" left="9" top="918" 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="21" left="9" top="954" width="188" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p italic="true">M. Kraska, 2013-07-03 </p>
    </text>
  </region>
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