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      <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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  <region id="0" left="9" top="9" width="389" height="31" color="#000000" bgColor="#80ffff" fontSize="14">
    <text lang="eng">
      <p bold="true">The "for loop counter inclusive" </p>
    </text>
  </region>
  <region id="1" left="9" top="36" width="238" height="100" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Top" lang="eng">
        <p>3D plot </p>
      </description>
      <input>
        <e type="operand">M</e>
        <e type="operand">100</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">matrix</e>
        <e type="operator" args="2">:</e>
        <e type="operand">k</e>
        <e type="operand">1</e>
        <e type="operator" args="2">:</e>
        <e type="operand">k</e>
        <e type="operand">M</e>
        <e type="function" preserve="true" args="1">rows</e>
        <e type="operator" args="2">≤</e>
        <e type="operand">k</e>
        <e type="operand">k</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
        <e type="operand">M</e>
        <e type="operand">k</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">k</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operand">1</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
        <e type="operand">M</e>
        <e type="operand">k</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">2</e>
        <e type="operand">k</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operand">0.5</e>
        <e type="operator" args="2">*</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>
        <e type="function" preserve="true" args="4">for</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="2" left="270" top="36" width="238" height="100" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Top" lang="eng">
        <p>2D plot [points ,line]</p>
      </description>
      <input>
        <e type="operand">m</e>
        <e type="operand">500</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">matrix</e>
        <e type="operator" args="2">:</e>
        <e type="operand">k</e>
        <e type="operand">1</e>
        <e type="operator" args="2">:</e>
        <e type="operand">k</e>
        <e type="operand">m</e>
        <e type="function" preserve="true" args="1">rows</e>
        <e type="operator" args="2">≤</e>
        <e type="operand">k</e>
        <e type="operand">k</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
        <e type="operand">m</e>
        <e type="operand">k</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">k</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operand">1</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
        <e type="operand">m</e>
        <e type="operand">k</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">2</e>
        <e type="operand">k</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operand">0.5</e>
        <e type="operator" args="2">*</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>
        <e type="function" preserve="true" args="4">for</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="3" left="270" top="162" width="240" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="11.2207266273269" scale_y="11.2207266273269" scale_z="11.2207266273269" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="0" transpose_y="0" transpose_z="0">
      <input>
        <e type="operand">m</e>
      </input>
    </plot>
  </region>
  <region id="4" left="513" top="162" width="240" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="points" scale_x="11.2207266273269" scale_y="11.2207266273269" scale_z="11.2207266273269" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="0" transpose_y="0" transpose_z="0">
      <input>
        <e type="operand">0</e>
        <e type="operand">m</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
      </input>
    </plot>
  </region>
  <region id="5" left="27" top="369" width="31" height="44" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Top" lang="eng">
        <p>step 1</p>
      </description>
      <input>
        <e type="operand">#</e>
        <e type="operand">#</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="6" left="117" top="369" width="105" height="60" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Top" lang="eng">
        <p>step 2 f(x)menu for(4)</p>
      </description>
      <input>
        <e type="operand">#</e>
        <e type="operand">#</e>
        <e type="operand">#</e>
        <e type="operand">#</e>
        <e type="operand">#</e>
        <e type="function" preserve="true" args="4">for</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="7" left="333" top="369" width="105" height="80" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Top" lang="eng">
        <p>step 3 fill arguments</p>
      </description>
      <input>
        <e type="operand">#</e>
        <e type="operand">#</e>
        <e type="operand">#</e>
        <e type="operand">#</e>
        <e type="operand">#</e>
        <e type="operand">#</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">line</e>
        <e type="function" preserve="true" args="4">for</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="8" left="27" top="486" width="713" height="24" color="#000000" bgColor="#ffe1e1" fontSize="10">
    <text lang="eng">
      <p>=====================================================================================</p>
    </text>
  </region>
  <region id="9" left="27" top="522" width="316" height="98" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4" exponentialThreshold="3">
      <input>
        <e type="operand">data</e>
        <e type="function" args="1">UnestRow</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">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">line</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="10" left="387" top="567" width="306" height="56" color="#000000" bgColor="#ffffe1" fontSize="10">
    <text lang="eng">
      <p>Note:1. more symbols [+,.,o,*,x]2. more colors from "web color code"</p>
    </text>
  </region>
  <region id="11" left="27" top="621" width="76" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">size</e>
        <e type="operand">10</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="12" left="117" top="621" width="117" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">color</e>
        <e type="operand" style="string">blue</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="13" left="27" top="648" width="284" height="49" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Top" lang="eng">
        <p>Creates a vector of nested rows.Next: Unest this "nested vector"</p>
      </description>
      <input>
        <e type="operand">k</e>
        <e type="operand">1</e>
        <e type="operator" args="2">:</e>
        <e type="operand">k</e>
        <e type="operand">10</e>
        <e type="operator" args="2">≤</e>
        <e type="operand">k</e>
        <e type="operand">k</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
        <e type="operand">plot</e>
        <e type="operand">k</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">k</e>
        <e type="operand">k</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operand" style="string">.</e>
        <e type="operand">size</e>
        <e type="operand">color</e>
        <e type="operand">1</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="7">mat</e>
        <e type="operator" args="2">:</e>
        <e type="function" preserve="true" args="4">for</e>
      </input>
    </math>
  </region>
  <region id="14" left="387" top="648" width="205" height="92" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <math evaluate="false">
      <description active="true" position="Top" lang="eng">
        <p>Option for export discrete 'sin(x)".x &lt;= from f(x) menu range(3)</p>
      </description>
      <input>
        <e type="operand">sin</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operand">15</e>
        <e type="operand">0.01</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">sin</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" preserve="true" args="1">sin</e>
        <e type="operator" args="2">:</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">x</e>
        <e type="operand">sin</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>
      </input>
    </math>
  </region>
  <region id="15" left="27" top="738" width="171" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">plot</e>
        <e type="operand">plot</e>
        <e type="function" args="1">UnestRow</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="16" left="27" top="765" width="118" height="46" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Top" lang="eng">
        <p>mixed plot</p>
      </description>
      <input>
        <e type="operand">Plot</e>
        <e type="operand">plot</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="17" left="387" top="783" width="293" height="188" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Top" lang="eng">
        <p>The Unested vector</p>
      </description>
      <input>
        <e type="operand">plot</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
        <e type="operand">0.841471</e>
        <e type="operand" style="string">.</e>
        <e type="operand">10</e>
        <e type="operand" style="string">blue</e>
        <e type="operand">2</e>
        <e type="operand">0.909297</e>
        <e type="operand" style="string">.</e>
        <e type="operand">10</e>
        <e type="operand" style="string">blue</e>
        <e type="operand">3</e>
        <e type="operand">0.14112</e>
        <e type="operand" style="string">.</e>
        <e type="operand">10</e>
        <e type="operand" style="string">blue</e>
        <e type="operand">4</e>
        <e type="operand">0.756802</e>
        <e type="operator" args="1">-</e>
        <e type="operand" style="string">.</e>
        <e type="operand">10</e>
        <e type="operand" style="string">blue</e>
        <e type="operand">5</e>
        <e type="operand">0.958924</e>
        <e type="operator" args="1">-</e>
        <e type="operand" style="string">.</e>
        <e type="operand">10</e>
        <e type="operand" style="string">blue</e>
        <e type="operand">6</e>
        <e type="operand">0.279415</e>
        <e type="operator" args="1">-</e>
        <e type="operand" style="string">.</e>
        <e type="operand">10</e>
        <e type="operand" style="string">blue</e>
        <e type="operand">7</e>
        <e type="operand">0.656987</e>
        <e type="operand" style="string">.</e>
        <e type="operand">10</e>
        <e type="operand" style="string">blue</e>
        <e type="operand">8</e>
        <e type="operand">0.989358</e>
        <e type="operand" style="string">.</e>
        <e type="operand">10</e>
        <e type="operand" style="string">blue</e>
        <e type="operand">9</e>
        <e type="operand">0.412118</e>
        <e type="operand" style="string">.</e>
        <e type="operand">10</e>
        <e type="operand" style="string">blue</e>
        <e type="operand">10</e>
        <e type="operand">0.544021</e>
        <e type="operator" args="1">-</e>
        <e type="operand" style="string">.</e>
        <e type="operand">10</e>
        <e type="operand" style="string">blue</e>
        <e type="operand">10</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="52">mat</e>
      </result>
    </math>
  </region>
  <region id="18" left="27" top="837" width="240" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="5.50431814035732" scale_y="2.45384685985655" scale_z="13.5067537843672" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-116" transpose_y="-2" transpose_z="0">
      <input>
        <e type="operand">Plot</e>
      </input>
    </plot>
  </region>
  <region id="19" left="27" top="1044" width="256" height="31" color="#000000" bgColor="#80ffff" fontSize="14">
    <text lang="eng">
      <p bold="true">The Lissajous Project</p>
    </text>
  </region>
  <region id="20" left="9" top="1080" width="761" height="120" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">vx</e>
        <e type="operand">vy</e>
        <e type="operand">char</e>
        <e type="operand">size</e>
        <e type="operand">color</e>
        <e type="function" args="5">plotG</e>
        <e type="operand">n</e>
        <e type="operand">vx</e>
        <e type="function" preserve="true" args="1">length</e>
        <e type="operator" args="2">:</e>
        <e type="operand">plot</e>
        <e type="operand">vx</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">vy</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">char</e>
        <e type="operand">size</e>
        <e type="operand">color</e>
        <e type="function" preserve="true" args="5">augment</e>
        <e type="operator" args="2">:</e>
        <e type="operand">i</e>
        <e type="operand">2</e>
        <e type="operand">n</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">plot</e>
        <e type="operand">plot</e>
        <e type="operand">vx</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">vy</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">char</e>
        <e type="operand">size</e>
        <e type="operand">color</e>
        <e type="function" preserve="true" args="5">augment</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">plot</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="21" left="27" top="1206" width="233" height="122" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Top" lang="eng">
        <p>Lissajous</p>
      </description>
      <input>
        <e type="operand">L</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="operand">π</e>
        <e type="operator" args="2">*</e>
        <e type="operand">0.01</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">cos</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" preserve="true" args="1">cos</e>
        <e type="operator" args="2">:</e>
        <e type="operand">sin</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">2</e>
        <e type="operand">x</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operand">0.5</e>
        <e type="operator" args="2">*</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>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">cos</e>
        <e type="operand">sin</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>
      </input>
    </math>
  </region>
  <region id="22" left="288" top="1206" width="258" height="139" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Top" lang="eng">
        <p>Equipolar points on Lissajous</p>
      </description>
      <input>
        <e type="operand">Lpts</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="operand">π</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operand">π</e>
        <e type="operand">12</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">*</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">cos</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" preserve="true" args="1">cos</e>
        <e type="operator" args="2">:</e>
        <e type="operand">sin</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">2</e>
        <e type="operand">x</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operand">0.5</e>
        <e type="operator" args="2">*</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>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">cos</e>
        <e type="operand">sin</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>
      </input>
    </math>
  </region>
  <region id="23" left="27" top="1377" width="294" height="68" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math>
      <input>
        <e type="operand">vx</e>
        <e type="operand">Lpts</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="operator" args="2">:</e>
        <e type="operand">vy</e>
        <e type="operand">Lpts</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="operator" args="2">:</e>
        <e type="operand">V</e>
        <e type="operand">vx</e>
        <e type="operand">vy</e>
        <e type="operand" style="string">.</e>
        <e type="operand">13</e>
        <e type="operand" style="string">black</e>
        <e type="function" args="5">plotG</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>
      </input>
    </math>
  </region>
  <region id="24" left="27" top="1449" width="240" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="8.14027493868399" scale_y="10.8347059433884" scale_z="88.197485258975" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="0" transpose_y="0" transpose_z="0">
      <input>
        <e type="operand">0</e>
        <e type="operand">L</e>
        <e type="operand">V</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
      </input>
    </plot>
  </region>
</regions>