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    <text lang="eng">
      <p>The UNofficial 5346 comes with Davide function "cases". This function generates the 'if/otherwise' that computes integral.</p>
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        <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>
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        <e type="operand">#</e>
        <e type="operand">#</e>
        <e type="function" preserve="true" args="2">cases</e>
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  <region id="5" left="18" top="135" width="119" height="43" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">#</e>
        <e type="operand">#</e>
        <e type="operand">#</e>
        <e type="function" preserve="true" args="3">cases</e>
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    </math>
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    <math>
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        <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="5">cases</e>
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    </math>
  </region>
  <region id="7" left="18" top="279" width="279" height="31" color="#000000" bgColor="#80ffff" fontSize="14">
    <text lang="eng">
      <p bold="true">Fourier slit experiment</p>
    </text>
  </region>
  <region id="8" left="18" top="315" width="405" height="62" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">Ψ</e>
        <e type="operand">1</e>
        <e type="operand">10</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">/</e>
        <e type="operand">x</e>
        <e type="operand">7.5</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">≥</e>
        <e type="bracket">(</e>
        <e type="operand">x</e>
        <e type="operand">2.5</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">≤</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operand">2.5</e>
        <e type="operator" args="2">≥</e>
        <e type="bracket">(</e>
        <e type="operand">x</e>
        <e type="operand">7.5</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="operand">0</e>
        <e type="function" preserve="true" args="3">cases</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
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    <math>
      <input>
        <e type="operand">u</e>
        <e type="function" args="1">P</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operand">π</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">/</e>
        <e type="operand">i</e>
        <e type="operand">u</e>
        <e type="operator" args="2">*</e>
        <e type="operand">t</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="function" preserve="true" args="1">exp</e>
        <e type="operand">t</e>
        <e type="function" args="1">Ψ</e>
        <e type="operator" args="2">*</e>
        <e type="operand">t</e>
        <e type="operand">10</e>
        <e type="operator" args="1">-</e>
        <e type="operand">10</e>
        <e type="function" preserve="true" args="4">int</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">abs</e>
        <e type="bracket">(</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
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    <math>
      <input>
        <e type="operand">s</e>
        <e type="operand">5</e>
        <e type="operator" args="2">:</e>
        <e type="operand" style="string">scale</e>
        <e type="operator" args="2">≡</e>
      </input>
    </math>
  </region>
  <region id="11" left="603" top="459" width="156" height="228" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">q</e>
        <e type="operand">s</e>
        <e type="operand">7.5</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">7.5</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand">10</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">/</e>
        <e type="operand">2.5</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand">10</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">/</e>
        <e type="operand">2.5</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">2.5</e>
        <e type="operand">0</e>
        <e type="operand">2.5</e>
        <e type="operand">1</e>
        <e type="operand">10</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">/</e>
        <e type="operand">7.5</e>
        <e type="operand">1</e>
        <e type="operand">10</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">/</e>
        <e type="operand">7.5</e>
        <e type="operand">0</e>
        <e type="operand">8</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="18">mat</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="12" left="18" top="468" width="269" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="18.0650211831323" scale_y="0.714252855279292" scale_z="7.35697287474874" 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 the clean probability density ... plot q(x) instead of Ψ(x) </p>
      </description>
      <input>
        <e type="operand">1</e>
        <e type="operand">s</e>
        <e type="operator" args="2">/</e>
        <e type="operand">x</e>
        <e type="function" args="1">q</e>
        <e type="operator" args="2">*</e>
        <e type="operand">5</e>
        <e type="function" args="1">Ψ</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="13" left="288" top="468" width="311" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="5.41922797046504" scale_y="3.74005008361004" scale_z="20.2681840240396" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-3" transpose_y="-51" transpose_z="0">
      <description active="true" position="Top" lang="eng">
        <p>Momentum Distribution @ the slit</p>
      </description>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">P</e>
        <e type="operand">1</e>
        <e type="operand">s</e>
        <e type="operator" args="2">/</e>
        <e type="operand">x</e>
        <e type="function" args="1">q</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>
    </plot>
  </region>
  <region id="14" left="18" top="729" width="555" height="112" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math>
      <description active="true" position="Top" lang="eng">
        <p>As a substitute of "if/otherwise": it works but takes 9 min </p>
      </description>
      <input>
        <e type="operand">u</e>
        <e type="function" args="1">P</e>
        <e type="operand">i</e>
        <e type="operand">u</e>
        <e type="operator" args="2">*</e>
        <e type="operand">t</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="function" preserve="true" args="1">exp</e>
        <e type="operand">t</e>
        <e type="operand">15</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="1">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">≥</e>
        <e type="bracket">(</e>
        <e type="operand">t</e>
        <e type="operand">5</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="1">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">≤</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">t</e>
        <e type="operand">5</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">≥</e>
        <e type="bracket">(</e>
        <e type="operand">t</e>
        <e type="operand">15</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</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="bracket">(</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≠</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">10</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">/</e>
        <e type="operand">t</e>
        <e type="operand">10</e>
        <e type="operator" args="1">-</e>
        <e type="operand">10</e>
        <e type="function" preserve="true" args="4">int</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operand">π</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">/</e>
        <e type="function" preserve="true" args="1">abs</e>
        <e type="bracket">(</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="function" preserve="true" args="1">eval</e>
        <e type="operator" args="2">≡</e>
      </input>
    </math>
  </region>
  <region id="15" left="585" top="729" width="166" height="26" color="#000000" bgColor="#c8ffc8" fontSize="10">
    <math decimalPlaces="0">
      <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">62</e>
        <e type="operand" style="unit">sec</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
</regions>