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      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
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    <text lang="eng">
      <p bold="true">Fourier spectral composition</p>
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        <e type="operand">X</e>
        <e type="operand">i</e>
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        <e type="operand" style="string">select ortho</e>
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      <description active="true" position="Top" lang="eng">
        <p>Mesh U, V  within the bounds L, H</p>
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        <e type="operand">H</e>
        <e type="operand">N</e>
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        <e type="operand">0</e>
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        <e type="operand">dx</e>
        <e type="operand">H</e>
        <e type="operand">L</e>
        <e type="operator" args="2">-</e>
        <e type="operand">N</e>
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        <e type="operator" args="2">:</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operand">N</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">U</e>
        <e type="operand">i</e>
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        <e type="operand">L</e>
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        <e type="operator" args="2">*</e>
        <e type="operand">dx</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
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        <e type="operator" args="2">:</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">U</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>
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    <text lang="eng">
      <p bold="true">Fourier... observe =&gt; Y:=sys2mat(Y)</p>
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        <e type="operator" args="2">:</e>
        <e type="operand">H</e>
        <e type="operand">1</e>
        <e type="operator" args="2">:</e>
        <e type="operand">N</e>
        <e type="operand">50</e>
        <e type="operator" args="2">:</e>
        <e type="operand">X</e>
        <e type="operand">L</e>
        <e type="operand">H</e>
        <e type="operand">N</e>
        <e type="function" args="3">xd</e>
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        <e type="operand">4</e>
        <e type="operand">1</e>
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        <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">o</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="2">el</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>
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        <e type="operand">2</e>
        <e type="operand">1</e>
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        <e type="operand">Y</e>
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        <e type="operand">2</e>
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        <e type="operand">λ</e>
        <e type="operand">Y</e>
        <e type="function" preserve="true" args="1">length</e>
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        <e type="operand">Y</e>
        <e type="operand">Y</e>
        <e type="function" preserve="true" args="1">sys2mat</e>
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        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">line</e>
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        <e type="operand">D</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="function" preserve="true" args="1">sqrt</e>
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        <e type="operand">n</e>
        <e type="operand">0</e>
        <e type="operand">N</e>
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        <e type="operator" args="2">-</e>
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        <e type="operand">D</e>
        <e type="operand">n</e>
        <e type="operand">1</e>
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        <e type="operand">λ</e>
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        <e type="operand">Y</e>
        <e type="operand">k</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">e</e>
        <e type="operand">i</e>
        <e type="operand">2</e>
        <e type="operand">π</e>
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        <e type="operand">n</e>
        <e type="operator" args="2">*</e>
        <e type="operand">λ</e>
        <e type="operator" args="2">/</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">k</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="bracket">(</e>
        <e type="operand">k</e>
        <e type="operand">0</e>
        <e type="operand">N</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="4">sum</e>
        <e type="function" preserve="true" args="1">eval</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">D</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 fractionType="auto">
      <description active="true" position="Top" lang="eng">
        <p>Indexed absolute for Fourier spectrum</p>
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        <e type="operand">abs</e>
        <e type="operand">t</e>
        <e type="operand">1</e>
        <e type="operand">N</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="3">range</e>
        <e type="operator" args="2">:</e>
        <e type="operand">Fo</e>
        <e type="operand">D</e>
        <e type="function" preserve="true" args="1">mat2sys</e>
        <e type="function" preserve="true" args="1">abs</e>
        <e type="function" preserve="true" args="1">sys2mat</e>
        <e type="operator" args="2">:</e>
        <e type="operand">t</e>
        <e type="operand">Fo</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 decimalPlaces="2">
      <input>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="1">time</e>
        <e type="operand">t0</e>
        <e type="operator" args="2">-</e>
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      <result action="numeric">
        <e type="operand">0.07</e>
        <e type="operand" style="unit">sec</e>
        <e type="operator" args="2">*</e>
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  <region id="13" top="585" color="#000000" bgColor="#ffffff">
    <area collapsed="true">
      <title lang="eng">
        <p>     Stem style     </p>
      </title>
    </area>
    <region id="14" left="45" top="612" width="440" height="272" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <description active="true" position="Top" lang="eng">
          <p>Spectrum stem plot for QuickPlot unicolor</p>
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          <e type="operand">data</e>
          <e type="function" args="1">Stem</e>
          <e type="operand">stemX</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>
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          <e type="operand">i</e>
          <e type="operand">1</e>
          <e type="operand">stemX</e>
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          <e type="operand">stem</e>
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          <e type="operand">data</e>
          <e type="operand">i</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="3">el</e>
          <e type="operand">data</e>
          <e type="operand">i</e>
          <e type="operand">2</e>
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          <e type="operand">data</e>
          <e type="operand">i</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="3">el</e>
          <e type="operand">0</e>
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          <e type="operand">2</e>
          <e type="function" preserve="true" args="6">mat</e>
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          <e type="function" preserve="true" args="3">for</e>
          <e type="operand" style="string" />
          <e type="operand">i</e>
          <e type="operand">1</e>
          <e type="operand">stem</e>
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          <e type="operand">1</e>
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          <e type="function" preserve="true" args="2">range</e>
          <e type="operand">stem</e>
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          <e type="operand">stem</e>
          <e type="operand">i</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">stem</e>
          <e type="operand">i</e>
          <e type="operand">1</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="3">el</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">0</e>
          <e type="operand">1</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="4">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">V</e>
          <e type="operand">stem</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">stem</e>
          <e type="function" preserve="true" args="1">rows</e>
          <e type="operand">1</e>
          <e type="operator" args="2">-</e>
          <e type="function" preserve="true" args="2">range</e>
          <e type="operand">V</e>
          <e type="operand">V</e>
          <e type="operand">stem</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">V</e>
          <e type="operand">data</e>
          <e type="operand">data</e>
          <e type="function" preserve="true" args="1">rows</e>
          <e type="function" preserve="true" args="2">row</e>
          <e type="function" preserve="true" args="2">stack</e>
          <e type="operator" args="2">:</e>
          <e type="operand">7</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="9">line</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="15" top="927" color="#000000" bgColor="#ffffff">
      <area terminator="true" />
    </region>
    <region id="16" left="315" top="963" width="163" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">spectrum</e>
          <e type="operand">abs</e>
          <e type="function" args="1">Stem</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="17" left="315" top="990" width="196" height="96" color="#000000" bgColor="#ebebeb" fontSize="10">
      <math fractionType="auto">
        <description active="true" position="Top" lang="eng">
          <p>Fake to view DC</p>
        </description>
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          <e type="operand">DC</e>
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          <e type="operand">0.875</e>
          <e type="operand">spectrum</e>
          <e type="operand">1</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="3">el</e>
          <e type="operand">1.125</e>
          <e type="operand">spectrum</e>
          <e type="operand">1</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="3">el</e>
          <e type="operand">1.125</e>
          <e type="operand">0</e>
          <e type="operand">4</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="10">mat</e>
          <e type="operator" args="2">:</e>
        </input>
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      <plot type="2d" render="lines" scale_x="10.3002358623712" scale_y="0.372154575925649" scale_z="3.8332799092949" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-183" transpose_y="-53" transpose_z="0">
        <description active="true" position="Top" lang="eng">
          <p>Fourier spectrum [symmetric]</p>
        </description>
        <input>
          <e type="operand">spectrum</e>
          <e type="operand">DC</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="4">sys</e>
        </input>
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    </region>
    <region id="19" left="549" top="1152" width="96" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">t0</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="1">time</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="20" left="135" top="1179" width="290" height="40" color="#000000" bgColor="#ebebeb" fontSize="10">
      <text lang="eng">
        <p>symmetry starts @ spectrum[2,2]spectrum [1,2] is the DC component</p>
      </text>
    </region>
    <region id="21" left="549" top="1197" width="191" height="68" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <description active="true" position="Top" lang="eng">
          <p>Alternate for stem style</p>
        </description>
        <input>
          <e type="operand">F</e>
          <e type="operand">t</e>
          <e type="operand">1</e>
          <e type="operand">N</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="3">range</e>
          <e type="operator" args="2">:</e>
          <e type="operand">Fo</e>
          <e type="operand">Y</e>
          <e type="function" preserve="true" args="1">mwfft</e>
          <e type="function" preserve="true" args="1">mwabs</e>
          <e type="operator" args="2">:</e>
          <e type="operand">t</e>
          <e type="operand">Fo</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="549" top="1305" width="127" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
      <math decimalPlaces="3">
        <input>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="1">time</e>
          <e type="operand">t0</e>
          <e type="operator" args="2">-</e>
        </input>
        <result action="numeric">
          <e type="operand">0</e>
        </result>
      </math>
    </region>
  </region>
</regions>