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      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
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    <math optimize="2" fractionType="auto" decimalPlaces="6">
      <description active="true" position="Top" lang="eng">
        <p>Fourier "ifft" from padded created vector [Numeric]</p>
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        <e type="operand">π</e>
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        <e type="operator" args="2">^</e>
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        <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">I</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">line</e>
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    <math decimalPlaces="6">
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        <e type="operand">pad</e>
        <e type="operand">39</e>
        <e type="operator" args="2">:</e>
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    <math optimize="2" decimalPlaces="6">
      <description active="true" position="Top" lang="eng">
        <p>Fourier OFF center padding</p>
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        <e type="operand">Y</e>
        <e type="operand">n</e>
        <e type="operand">2</e>
        <e type="operand">pad</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">:</e>
        <e type="operand">i</e>
        <e type="operand">pad</e>
        <e type="operand">n</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">1</e>
        <e type="operator" args="2">:</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">i</e>
        <e type="operand">pad</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">n</e>
        <e type="function" preserve="true" args="2">range</e>
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        <e type="operand">Y</e>
        <e type="operand">1</e>
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        <e type="operand">1</e>
        <e type="operator" args="2">:</e>
        <e type="operand">Y</e>
        <e type="operand">2</e>
        <e type="operand">pad</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
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        <e type="operand">1</e>
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        <e type="operand">5</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="7">line</e>
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        <e type="operand">U</e>
        <e type="operand">Y</e>
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        <e type="function" preserve="true" args="1">rows</e>
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        <e type="operand">77</e>
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        <e type="operand">a</e>
        <e type="operand">U</e>
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        <e type="function" preserve="true" args="1">sys2mat</e>
        <e type="operator" args="2">:</e>
        <e type="operand">b</e>
        <e type="operand">U</e>
        <e type="function" preserve="true" args="1">Im</e>
        <e type="function" preserve="true" args="1">mat2sys</e>
        <e type="function" preserve="true" args="1">sys2mat</e>
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        <e type="operand">cardio</e>
        <e type="operand">a</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">round</e>
        <e type="function" preserve="true" args="1">vectorize</e>
        <e type="operand">b</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">round</e>
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        <e type="function" preserve="true" args="2">augment</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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    <math fractionType="auto" decimalPlaces="6">
      <input>
        <e type="operand">CWD</e>
        <e type="operand" style="string">C:\SmathFile</e>
        <e type="function" preserve="true" args="1">CurrentDirectory</e>
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    <math decimalPlaces="4">
      <input>
        <e type="operand">cardio</e>
        <e type="operand">CWD</e>
        <e type="operand" style="string">FourierCardio</e>
        <e type="function" preserve="true" args="3">wfile</e>
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      <result action="numeric">
        <e type="operand">1</e>
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    <math optimize="2" decimalPlaces="4">
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        <e type="operand">Ω</e>
        <e type="operand">CWD</e>
        <e type="operand" style="string">FourierCardio</e>
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    <math>
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        <e type="operand">Ω</e>
        <e type="function" preserve="true" args="1">rows</e>
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        <e type="operand">78</e>
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    <math decimalPlaces="6">
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        <e type="operand">τ</e>
        <e type="operand">1</e>
        <e type="operand">78</e>
        <e type="function" preserve="true" args="2">range</e>
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    <text lang="eng">
      <p>[x(t), y(t] select pairwise in descending ordereach row of Ω and respectively col [1, 2] thatcorrespond to X,Y Cartesian plot.The animate  'τ' is the descending operator.</p>
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    <math decimalPlaces="6">
      <input>
        <e type="operand">t</e>
        <e type="function" args="1">x</e>
        <e type="operand">Ω</e>
        <e type="operand">t</e>
        <e type="function" preserve="true" args="2">row</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="operator" args="2">:</e>
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    <math decimalPlaces="6">
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        <e type="operand">t</e>
        <e type="function" args="1">y</e>
        <e type="operand">Ω</e>
        <e type="operand">t</e>
        <e type="function" preserve="true" args="2">row</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="operator" args="2">:</e>
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    <math decimalPlaces="6">
      <input>
        <e type="operand">monkey</e>
        <e type="operand">t</e>
        <e type="function" args="1">x</e>
        <e type="operand">t</e>
        <e type="function" args="1">y</e>
        <e type="operand" style="string">.</e>
        <e type="operand">14</e>
        <e type="operand" style="string">red</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>
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  <region id="15" left="414" top="639" width="281" height="183" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="points" scale_x="37.4043434447736" scale_y="37.4043434447736" scale_z="37.4043434447736" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="1" transpose_y="1" transpose_z="0" animate="τ" frameRate="5">
      <description active="true" position="Top" lang="eng">
        <p>alternately   points &lt;= plot =&gt; lines </p>
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      <input>
        <e type="operand">Ω</e>
        <e type="operand">monkey</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
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