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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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  <region id="0" left="36" top="45" width="168" height="24" color="#000000" bgColor="#000000" fontSize="10">
    <text lang="eng">
      <p>3.500 -0.000/+0.010</p>
    </text>
  </region>
  <region id="1" left="333" top="72" width="43" height="24" color="#000000" bgColor="#ffff80" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">μ</e>
        <e type="operand">0</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="2" left="423" top="72" width="68" height="24" color="#000000" bgColor="#ffff80" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">σ</e>
        <e type="operand">0.23</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="3" left="27" top="90" width="49" height="24" color="#000000" bgColor="#000000" fontSize="10">
    <text lang="eng">
      <p>Mean </p>
    </text>
  </region>
  <region id="4" left="333" top="99" width="309" height="54" color="#000000" bgColor="#ffff80" fontSize="10">
    <math>
      <input>
        <e type="operand">μ</e>
        <e type="operand">σ</e>
        <e type="operand">x</e>
        <e type="function" args="3">Norm</e>
        <e type="operand">1</e>
        <e type="operand">σ</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="operator" args="2">/</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operand">x</e>
        <e type="operand">μ</e>
        <e type="operator" args="2">-</e>
        <e type="operand">σ</e>
        <e type="operator" args="2">/</e>
        <e type="bracket">(</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="function" preserve="true" args="1">exp</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
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  <region id="5" left="27" top="144" width="164" height="24" color="#000000" bgColor="#000000" fontSize="10">
    <text lang="eng">
      <p>Standard deviation </p>
    </text>
  </region>
  <region id="6" left="333" top="162" width="240" height="158" color="#000000" bgColor="#ffff80" fontSize="10">
    <plot type="2d" render="lines" scale_x="4.65928640772325" scale_y="9.69420958732769" scale_z="68.8433149883499" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="0" transpose_y="0" transpose_z="0">
      <input>
        <e type="operand">μ</e>
        <e type="operand">σ</e>
        <e type="operand">x</e>
        <e type="function" args="3">Norm</e>
      </input>
    </plot>
  </region>
  <region id="7" left="27" top="216" width="53" height="24" color="#000000" bgColor="#000000" fontSize="10">
    <math>
      <input>
        <e type="operand">Range</e>
      </input>
    </math>
  </region>
  <region id="8" left="36" top="234" width="196" height="24" color="#000000" bgColor="#000000" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">x</e>
        <e type="operand">3.495</e>
        <e type="operand">4.510</e>
        <e type="operand">3.496</e>
        <e type="function" preserve="true" args="3">range</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
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  <region id="9" left="0" top="297" width="266" height="24" color="#000000" bgColor="#000000" fontSize="10">
    <text lang="eng">
      <p>1. Equation Normal Distribution</p>
    </text>
  </region>
  <region id="10" left="72" top="306" width="168" height="72" color="#000000" bgColor="#000000" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">1</e>
        <e type="operand">σ</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="operator" args="2">/</e>
        <e type="operand">e</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operand">x</e>
        <e type="operand">μ</e>
        <e type="operator" args="2">-</e>
        <e type="operand">σ</e>
        <e type="operator" args="2">/</e>
        <e type="bracket">(</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
      </input>
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  <region id="11" left="342" top="405" width="612" height="24" color="#000000" bgColor="#000000" fontSize="10">
    <text lang="eng">
      <p>Unvectorized results. This should have worked as it is just an equation.. </p>
    </text>
  </region>
  <region id="12" left="342" top="423" width="299" height="24" color="#000000" bgColor="#000000" fontSize="10">
    <text lang="eng">
      <p>Singular value, meaningless to plot</p>
    </text>
  </region>
  <region id="13" left="54" top="432" width="211" height="72" color="#000000" bgColor="#000000" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">1</e>
        <e type="operand">σ</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="operator" args="2">/</e>
        <e type="operand">e</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operand">x</e>
        <e type="operand">μ</e>
        <e type="operator" args="2">-</e>
        <e type="operand">σ</e>
        <e type="operator" args="2">/</e>
        <e type="bracket">(</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
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  <region id="14" left="351" top="486" width="73" height="26" color="#000000" bgColor="#000000" fontSize="10">
    <math matrixOptions="0,0,1,5">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
      </result>
    </math>
  </region>
  <region id="15" left="9" top="540" width="806" height="24" color="#000000" bgColor="#000000" fontSize="10">
    <text lang="eng">
      <p>2. So, lets try a different equation. As you can see the  function outputs a string of solutions. </p>
    </text>
  </region>
  <region id="16" left="0" top="576" width="188" height="34" color="#000000" bgColor="#000000" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">x</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operand">2</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="operand">0.25</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
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  <region id="17" left="369" top="603" width="157" height="99" color="#000000" bgColor="#000000" fontSize="10">
    <math matrixOptions="0,0,1,4">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
      </input>
      <result action="numeric">
        <e type="operand">57121.8559</e>
        <e type="operand">57138.1998</e>
        <e type="operand">57154.5436</e>
        <e type="operand">57170.8875</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">mat</e>
      </result>
    </math>
  </region>
  <region id="18" left="45" top="648" width="310" height="208" color="#000000" bgColor="#ffffff" fontSize="10">
    <xyplot width="300" height="200" smoothing="false" points="100">
      <propertiessource index="1" sourcetype="PropertyGrid" />
      <grid gridcolor="LightGray" gridpattern="Dash" gridthickness="1" isxgrid="true" isygrid="true" />
      <xaxes xmin="1.772" xmax="5.228" xtick="1" numberformat="General" decimalplaces="3" />
      <yaxes ymin="-487526.2" ymax="487526.2" ytick="200000" numberformat="General" decimalplaces="3" />
      <y2axes isy2axis="false" y2min="-1" y2max="1" y2tick="0.5" numberformat="General" decimalplaces="3" />
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        <trace seriesname="" isy2data="false" isvisible="true" plotmethod="Lines" linecolor="Blue" linethickness="1" linepattern="Solid" symbolsize="8" symboltype="None" symbolborderthickness="1" symbolbordercolor="Black" symbolfillcolor="White" />
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        <e type="operand">x</e>
        <e type="function" args="1">f</e>
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  <region id="19" left="378" top="756" width="168" height="24" color="#000000" bgColor="#000000" fontSize="10">
    <text lang="eng">
      <p>Does not plot. Why?</p>
    </text>
  </region>
  <region id="20" left="9" top="909" width="969" height="24" color="#000000" bgColor="#000000" fontSize="10">
    <text lang="eng">
      <p>3. So back to the Normal Distribution Equation. When I vectorize the equation, I get the expected string of results.  </p>
    </text>
  </region>
  <region id="21" left="45" top="963" width="211" height="78" color="#000000" bgColor="#000000" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">1</e>
        <e type="operand">σ</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="operator" args="2">/</e>
        <e type="operand">e</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operand">x</e>
        <e type="operand">μ</e>
        <e type="operator" args="2">-</e>
        <e type="operand">σ</e>
        <e type="operator" args="2">/</e>
        <e type="bracket">(</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">vectorize</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="22" left="333" top="1071" width="176" height="189" color="#000000" bgColor="#000000" fontSize="10">
    <math matrixOptions="0,0,1,6">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
      </input>
      <result action="numeric">
        <e type="operand">1.2537</e>
        <e type="operand">10</e>
        <e type="operand">50</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1.1735</e>
        <e type="operand">10</e>
        <e type="operand">50</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1.0984</e>
        <e type="operand">10</e>
        <e type="operand">50</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1.0282</e>
        <e type="operand">10</e>
        <e type="operand">50</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">9.6237</e>
        <e type="operand">10</e>
        <e type="operand">51</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">9.0077</e>
        <e type="operand">10</e>
        <e type="operand">51</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">6</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="8">mat</e>
      </result>
    </math>
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  <region id="23" left="72" top="1233" width="389" height="24" color="#000000" bgColor="#000000" fontSize="10">
    <text lang="eng">
      <p>Now lets try plotting. First  standard 2D Plot </p>
    </text>
  </region>
  <region id="24" left="108" top="1323" width="240" height="158" color="#000000" bgColor="#000000" fontSize="10">
    <plot type="2d" render="lines" scale_x="1" scale_y="1" scale_z="1" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="0" transpose_y="0" transpose_z="0">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
      </input>
    </plot>
  </region>
  <region id="25" left="423" top="1413" width="217" height="24" color="#000000" bgColor="#000000" fontSize="10">
    <text lang="eng">
      <p>Nothing just a flat line.</p>
    </text>
  </region>
  <region id="26" left="81" top="1539" width="201" height="24" color="#000000" bgColor="#000000" fontSize="10">
    <text lang="eng">
      <p>Now lets try a X-Y Plot</p>
    </text>
  </region>
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    <xyplot width="300" height="200" smoothing="false" points="100">
      <propertiessource index="1" sourcetype="PropertyGrid" />
      <grid gridcolor="LightGray" gridpattern="Dash" gridthickness="1" isxgrid="true" isygrid="true" />
      <xaxes xmin="-32.59765" xmax="74.39565" xtick="50" numberformat="General" decimalplaces="3" />
      <yaxes ymin="1.40396" ymax="22.80261" ytick="10" numberformat="General" decimalplaces="3" />
      <y2axes isy2axis="false" y2min="-1" y2max="1" y2tick="0.5" numberformat="General" decimalplaces="3" />
      <title2d title="" titlefont="Arial, 10pt" titlefontcolor="Black" />
      <xylabel labelfont="Arial, 10pt" labelfontcolor="Black" tickfont="Arial, 8pt" tickfontcolor="Black" xlabel="x" ylabel="y" y2label="y2" />
      <legend isbordervisible="true" islegendvisible="false" legendbackcolor="White" legendbordercolor="Black" legendfont="Arial, 8pt" legendposition="NorthEast" textcolor="Black" />
      <traces>
        <trace seriesname="" isy2data="false" isvisible="true" plotmethod="Lines" linecolor="Blue" linethickness="1" linepattern="Solid" symbolsize="8" symboltype="None" symbolborderthickness="1" symbolbordercolor="Black" symbolfillcolor="White" />
      </traces>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
      </input>
    </xyplot>
  </region>
  <region id="28" left="387" top="1845" width="131" height="24" color="#000000" bgColor="#000000" fontSize="10">
    <text lang="eng">
      <p>Nothing again. </p>
    </text>
  </region>
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