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      <revision>11</revision>
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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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        <e type="operand">data</e>
        <e type="operand">char</e>
        <e type="operand">size</e>
        <e type="operand">clr</e>
        <e type="function" args="4">plot</e>
        <e type="operand">k</e>
        <e type="operand">1</e>
        <e type="operand">data</e>
        <e type="function" preserve="true" args="1">rows</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">r3</e>
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        <e type="operand">r5</e>
        <e type="operand">k</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">clr</e>
        <e type="operator" args="2">:</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">line</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">data</e>
        <e type="operand">r3</e>
        <e type="operand">r4</e>
        <e type="operand">r5</e>
        <e type="function" preserve="true" args="4">augment</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">line</e>
        <e type="operator" args="2">:</e>
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  <region id="1" left="18" top="144" width="533" height="31" color="#000000" bgColor="#80ffff" fontSize="14">
    <text lang="eng">
      <p bold="true">Sequential scatter vectors ... grid on canvas</p>
    </text>
  </region>
  <region id="2" left="18" top="180" width="471" height="314" border="true" color="#000000" bgColor="#ffffe1" fontSize="10">
    <math optimize="2" decimalPlaces="3">
      <description active="true" position="Top" lang="eng">
        <p>The  sequential xy adjustable space grid points</p>
      </description>
      <input>
        <e type="operand">X</e>
        <e type="operand">Y</e>
        <e type="operand">x0</e>
        <e type="operand">x1</e>
        <e type="operand">y0</e>
        <e type="operand">y1</e>
        <e type="operand">u</e>
        <e type="operand">v</e>
        <e type="function" args="8">Sr</e>
        <e type="operand">count</e>
        <e type="operand">1</e>
        <e type="operator" args="2">:</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operand">u</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">j</e>
        <e type="operand">1</e>
        <e type="operand">v</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">x</e>
        <e type="operand">x0</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operand">u</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">/</e>
        <e type="operand">x1</e>
        <e type="operand">x0</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
        <e type="operand">y</e>
        <e type="operand">y0</e>
        <e type="operand">j</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operand">v</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">/</e>
        <e type="operand">y1</e>
        <e type="operand">y0</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
        <e type="operand">XY</e>
        <e type="operand">1</e>
        <e type="operand">count</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" args="2">X</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" args="2">Y</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
        <e type="operator" args="2">:</e>
        <e type="operand">count</e>
        <e type="operand">count</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">line</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">data</e>
        <e type="operand">XY</e>
        <e type="function" preserve="true" args="1">transpose</e>
        <e type="operator" args="2">:</e>
        <e type="operand">v</e>
        <e type="operand">data</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">:</e>
        <e type="operand">j</e>
        <e type="operand">2</e>
        <e type="operand">data</e>
        <e type="function" preserve="true" args="1">rows</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">v</e>
        <e type="operand">v</e>
        <e type="operand">data</e>
        <e type="operand">j</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="function" preserve="true" args="2">stack</e>
        <e type="operator" args="2">:</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">v</e>
        <e type="operand">6</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="8">line</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
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  <region id="3" left="522" top="207" width="98" height="49" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2" decimalPlaces="3">
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        <e type="operand">u</e>
        <e type="operand">v</e>
        <e type="function" args="2">X</e>
        <e type="operand">u</e>
        <e type="operator" args="2">:</e>
        <e type="operand">u</e>
        <e type="operand">v</e>
        <e type="function" args="2">Y</e>
        <e type="operand">v</e>
        <e type="operator" args="2">:</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">line</e>
      </input>
    </math>
  </region>
  <region id="4" left="522" top="288" width="121" height="41" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="3">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">q</e>
        <e type="operand">0.1</e>
        <e type="operand">x</e>
        <e type="operand">0.001</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="5" left="522" top="333" width="213" height="95" border="true" color="#000000" bgColor="#ffffe1" fontSize="10">
    <math decimalPlaces="3">
      <input>
        <e type="operand">plot</e>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand">0.995</e>
        <e type="operator" args="1">-</e>
        <e type="function" preserve="true" args="3">range</e>
        <e type="operator" args="2">:</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">rows</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">y</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="function" args="1">q</e>
        <e type="function" preserve="true" args="1">eval</e>
        <e type="operator" args="2">:</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" preserve="true" args="2">augment</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">line</e>
        <e type="operator" args="2">:</e>
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    </math>
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  <region id="6" left="522" top="450" width="68" height="24" color="#000000" bgColor="#ffff80" fontSize="10">
    <math decimalPlaces="3">
      <input>
        <e type="operand">X</e>
        <e type="operand">0.25</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="7" left="603" top="450" width="106" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="3">
      <input>
        <e type="operand">X</e>
        <e type="function" args="1">q</e>
      </input>
      <result action="numeric">
        <e type="operand">0.398</e>
      </result>
    </math>
  </region>
  <region id="8" left="18" top="522" width="325" height="91" border="true" color="#000000" bgColor="#ffffe1" fontSize="10">
    <math decimalPlaces="3">
      <input>
        <e type="operand">x0</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">:</e>
        <e type="operand">x1</e>
        <e type="operand">1</e>
        <e type="operator" args="2">:</e>
        <e type="operand">y0</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">:</e>
        <e type="operand">y1</e>
        <e type="operand">1</e>
        <e type="operator" args="2">:</e>
        <e type="operand">u</e>
        <e type="operand">11</e>
        <e type="operator" args="2">:</e>
        <e type="operand">v</e>
        <e type="operand">11</e>
        <e type="operator" args="2">:</e>
        <e type="operand">1</e>
        <e type="operand">6</e>
        <e type="function" preserve="true" args="8">mat</e>
        <e type="operand">xy</e>
        <e type="operand">X</e>
        <e type="operand">Y</e>
        <e type="operand">x0</e>
        <e type="operand">x1</e>
        <e type="operand">y0</e>
        <e type="operand">y1</e>
        <e type="operand">u</e>
        <e type="operand">v</e>
        <e type="function" args="8">Sr</e>
        <e type="operator" args="2">:</e>
        <e type="operand">char</e>
        <e type="operand" style="string">.</e>
        <e type="operator" args="2">:</e>
        <e type="operand">size</e>
        <e type="operand">6</e>
        <e type="operator" args="2">:</e>
        <e type="operand">clr</e>
        <e type="operand" style="string">black</e>
        <e type="operator" args="2">:</e>
        <e type="operand">1</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="5">mat</e>
        <e type="operand">grid</e>
        <e type="operand">xy</e>
        <e type="operand">char</e>
        <e type="operand">size</e>
        <e type="operand">clr</e>
        <e type="function" args="4">plot</e>
        <e type="operator" args="2">:</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">line</e>
      </input>
    </math>
  </region>
  <region id="9" left="522" top="522" width="240" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="points" scale_x="6.45589836322519" scale_y="8.95430243255239" scale_z="9.45208079359801" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="0" transpose_y="0" transpose_z="0">
      <description active="true" position="Top" lang="eng">
        <p>Discrete plot over grid [u,v]</p>
      </description>
      <input>
        <e type="operand">grid</e>
        <e type="operand">plot</e>
        <e type="operand">X</e>
        <e type="operand">X</e>
        <e type="function" args="1">q</e>
        <e type="operand" style="string">+</e>
        <e type="operand">20</e>
        <e type="operand" style="string">blue</e>
        <e type="operand">1</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="7">mat</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
      </input>
    </plot>
  </region>
  <region id="10" left="360" top="567" width="86" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand" style="string">#A0A0A0</e>
      </input>
    </math>
  </region>
  <region id="11" left="18" top="621" width="175" height="31" color="#000000" bgColor="#80ffff" fontSize="14">
    <text lang="eng">
      <p bold="true">Web color code</p>
    </text>
  </region>
  <region id="12" left="18" top="657" width="424" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>http://www.rapidtables.com/web/color/Web_Color.htm</p>
    </text>
  </region>
  <region id="13" top="801" color="#000000" bgColor="#ffffff">
    <area collapsed="true">
      <title lang="eng">
        <p>     hatch     </p>
      </title>
    </area>
    <region id="14" left="54" top="828" width="449" height="274" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <description active="true" position="Top" lang="ger">
          <p>Erzeugt eine Matrix für die Darstellung vertikaler Linien zwischen den Funktionen f(x) und g(x) im Bereich von x1 bis x2 mit 2*n Linien.</p>
        </description>
        <description active="true" position="Top" lang="eng">
          <p>Generates a matrix for 2*n vertical lines (hatching) between functions f(x) and g(x) in x-range from x1 to x2</p>
        </description>
        <input>
          <e type="operand">f</e>
          <e type="operand">g</e>
          <e type="operand">x.1</e>
          <e type="operand">x.2</e>
          <e type="operand">N</e>
          <e type="function" args="5">hatch</e>
          <e type="operand">dx</e>
          <e type="operand">x.2</e>
          <e type="operand">x.1</e>
          <e type="operator" args="2">-</e>
          <e type="operand">N</e>
          <e type="operator" args="2">/</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">:</e>
          <e type="operand">h</e>
          <e type="operand">x.1</e>
          <e type="operand">x.1</e>
          <e type="function" args="1">f</e>
          <e type="operand">x.1</e>
          <e type="operand">x.1</e>
          <e type="function" args="1">g</e>
          <e type="operand">2</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="6">mat</e>
          <e type="operator" args="2">:</e>
          <e type="operand">x</e>
          <e type="operand">x.1</e>
          <e type="operand">x.2</e>
          <e type="operand">dx</e>
          <e type="operator" args="2">-</e>
          <e type="operand">x.1</e>
          <e type="operand">dx</e>
          <e type="operator" args="2">+</e>
          <e type="function" preserve="true" args="3">range</e>
          <e type="operand">h</e>
          <e type="operand">h</e>
          <e type="operand">x</e>
          <e type="operand">dx</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">dx</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="function" args="1">g</e>
          <e type="operand">x</e>
          <e type="operand">dx</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">dx</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="function" args="1">f</e>
          <e type="operand">x</e>
          <e type="operand">dx</e>
          <e type="operator" args="2">+</e>
          <e type="operand">x</e>
          <e type="operand">dx</e>
          <e type="operator" args="2">+</e>
          <e type="function" args="1">f</e>
          <e type="operand">x</e>
          <e type="operand">dx</e>
          <e type="operator" args="2">+</e>
          <e type="operand">x</e>
          <e type="operand">dx</e>
          <e type="operator" args="2">+</e>
          <e type="function" args="1">g</e>
          <e type="operand">4</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="10">mat</e>
          <e type="function" preserve="true" args="2">stack</e>
          <e type="operator" args="2">:</e>
          <e type="function" preserve="true" args="3">for</e>
          <e type="operand">h</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="6">line</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="15" top="1152" color="#000000" bgColor="#ffffff">
      <area terminator="true" />
    </region>
  </region>
  <region id="16" left="108" top="1197" width="85" height="49" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Right" lang="eng">
        <p>upper regionlower region</p>
      </description>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">5</e>
        <e type="operator" args="2">:</e>
        <e type="operand">x</e>
        <e type="function" args="1">g</e>
        <e type="operand">5</e>
        <e type="operator" args="1">-</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>
      </input>
    </math>
  </region>
  <region id="17" left="423" top="1197" width="189" height="49" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math>
      <input>
        <e type="operand">θ</e>
        <e type="function" args="1">rot</e>
        <e type="operand">θ</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operand">θ</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operator" args="1">-</e>
        <e type="operand">θ</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operand">θ</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operand">2</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="6">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="18" left="423" top="1251" width="56" height="41" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math>
      <input>
        <e type="operand">θ</e>
        <e type="operand">π</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="19" left="504" top="1260" width="103" height="24" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math>
      <input>
        <e type="operand">θ</e>
      </input>
      <result action="numeric">
        <e type="operand">1.5708</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="20" left="108" top="1269" width="201" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="6">
      <input>
        <e type="operand">H</e>
        <e type="operand">f</e>
        <e type="operand">g</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand">4</e>
        <e type="function" args="5">hatch</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="21" left="108" top="1386" width="240" height="158" color="#000000" bgColor="#ffffff" fontSize="10" showInputData="False">
    <plot type="2d" render="points" scale_x="5.84448741138014" scale_y="7.3619187401892" scale_z="24.7805503197974" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="0" transpose_y="0" transpose_z="0">
      <description active="true" position="Top" lang="eng">
        <p>Plot option points </p>
      </description>
      <input>
        <e type="operand">plot</e>
        <e type="operand" style="string" />
        <e type="operand">H</e>
        <e type="operand">H</e>
        <e type="operand">θ</e>
        <e type="function" args="1">rot</e>
        <e type="operator" args="2">*</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">sys</e>
      </input>
    </plot>
  </region>
  <region id="22" left="351" top="1386" width="240" height="158" color="#000000" bgColor="#ffffff" fontSize="10" showInputData="False">
    <plot type="2d" render="lines" scale_x="5.84448741138014" scale_y="7.3619187401892" scale_z="24.7805503197974" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="0" transpose_y="0" transpose_z="0">
      <description active="true" position="Top" lang="eng">
        <p>Plot option lines </p>
      </description>
      <input>
        <e type="operand">plot</e>
        <e type="operand" style="string" />
        <e type="operand" style="string" />
        <e type="operand">H</e>
        <e type="operand">H</e>
        <e type="operand">θ</e>
        <e type="function" args="1">rot</e>
        <e type="operator" args="2">*</e>
        <e type="operand">5</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="7">sys</e>
      </input>
    </plot>
  </region>
</regions>