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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" top="18" color="#000000" bgColor="#ffffff">
    <area collapsed="true">
      <title lang="eng">
        <p>     Custom bar utilities     </p>
      </title>
    </area>
    <region id="1" left="18" top="63" width="440" height="272" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
      <math optimize="2">
        <description active="true" position="Top" lang="eng">
          <p>Spectrum stem plot for QuickPlot unicolor</p>
        </description>
        <input>
          <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>
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          <e type="operand">i</e>
          <e type="operand">1</e>
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          <e type="function" preserve="true" args="2">range</e>
          <e type="operand">stem</e>
          <e type="operand">i</e>
          <e type="function" preserve="true" args="2">el</e>
          <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>
          <e type="function" preserve="true" args="3">el</e>
          <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>
          <e type="operator" args="2">:</e>
          <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>
          <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">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="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>
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    <region id="2" left="414" top="90" width="264" height="121" border="true" color="#000000" bgColor="#ebebeb" fontSize="10">
      <math optimize="2" decimalPlaces="4">
        <input>
          <e type="operand">L</e>
          <e type="operand">H</e>
          <e type="operand">N</e>
          <e type="function" args="3">xd</e>
          <e type="operand">U</e>
          <e type="operand">0</e>
          <e type="operator" args="2">:</e>
          <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>
          <e type="operator" args="2">/</e>
          <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>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">L</e>
          <e type="operand">dx</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operand">dx</e>
          <e type="operand">i</e>
          <e type="operator" args="2">*</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">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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    <region id="3" left="414" top="279" width="342" height="142" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">j</e>
          <e type="operand">v</e>
          <e type="function" args="2">Bar</e>
          <e type="operand">N</e>
          <e type="operand">X</e>
          <e type="operand">j</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operator" args="2">:</e>
          <e type="operand">U</e>
          <e type="operand">N</e>
          <e type="operand">size</e>
          <e type="operator" args="2">-</e>
          <e type="operand">N</e>
          <e type="operand">size</e>
          <e type="operator" args="2">+</e>
          <e type="operand">fill</e>
          <e type="function" args="3">xd</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="operand">p</e>
          <e type="operand">i</e>
          <e type="operand">1</e>
          <e type="operand">U</e>
          <e type="function" preserve="true" args="1">rows</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">v</e>
          <e type="operator" args="2">:</e>
          <e type="function" preserve="true" args="3">for</e>
          <e type="operand">U</e>
          <e type="operand">Y</e>
          <e type="function" preserve="true" args="2">augment</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="4">line</e>
          <e type="operator" args="2">:</e>
          <e type="operand">Bar</e>
          <e type="operand">p</e>
          <e type="function" args="1">Stem</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>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="4" top="432" color="#000000" bgColor="#ffffff">
      <area terminator="true" />
    </region>
    <region id="5" left="54" top="468" width="360" height="31" color="#000000" bgColor="#80ffff" fontSize="14">
      <text lang="eng">
        <p bold="true">Bar_Stem Custom for publishing</p>
      </text>
    </region>
    <region id="6" left="54" top="504" width="553" height="248" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="eng">
        <p>The proposal is not automated wrt the collection {barplot.On the other hand, you can have bar or stem for few data points.Not suited for Fourier spectral high densirty data set.The X_Y can be made unicolor [any of very many], via the 'list'. Quite useful for distinguishing your publication.'fill' depends upon the stretching of the plot and/or size.Data points can be unequally spaced. The basic design was aimedat the "bar", for publishing._______________________________Observe that in the construction of barplot:={ 'X' is silent. As well as  'fill' &amp; 'size'...  That triplet behaves like globallydefined Mathcad style. The project is stand alone below  the collapsed utilities for a clean project. Plug your data in 'data'.Construct {barplot accordingly . </p>
      </text>
    </region>
    <region id="7" top="774" color="#000000" bgColor="#ffffff">
      <area collapsed="true">
        <title lang="eng">
          <p>     Pilot your project from here     </p>
        </title>
      </area>
      <region id="8" left="54" top="810" width="104" height="44" color="#000000" bgColor="#ffff80" fontSize="10">
        <math>
          <input>
            <e type="operand">fill</e>
            <e type="operand">7</e>
            <e type="operator" args="2">:</e>
            <e type="operand">size</e>
            <e type="operand">0.25</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>
          </input>
        </math>
      </region>
      <region id="9" left="171" top="810" width="325" height="40" color="#000000" bgColor="#ffff80" fontSize="10">
        <text lang="eng">
          <p>1. If you set size = 0, set 'fill ≥ 2' 2. For 'size ≥ 0' ...  fill at will.</p>
        </text>
      </region>
      <region id="10" left="54" top="873" width="127" height="118" color="#000000" bgColor="#ffffff" fontSize="10">
        <math>
          <input>
            <e type="operand">data</e>
            <e type="operand">0</e>
            <e type="operand">2</e>
            <e type="function" preserve="true" args="1">sqrt</e>
            <e type="operand">4</e>
            <e type="operand">π</e>
            <e type="operand">8</e>
            <e type="operand">2</e>
            <e type="operand">12</e>
            <e type="operand">π</e>
            <e type="operator" args="1">-</e>
            <e type="operand">16</e>
            <e type="operand">4</e>
            <e type="operand">24</e>
            <e type="operand">2.75</e>
            <e type="operand">6</e>
            <e type="operand">2</e>
            <e type="function" preserve="true" args="14">mat</e>
            <e type="operator" args="2">:</e>
          </input>
        </math>
      </region>
      <region id="11" left="207" top="873" width="140" height="48" color="#000000" bgColor="#ffffff" fontSize="10">
        <math>
          <input>
            <e type="operand">X</e>
            <e type="operand">data</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="2">col</e>
            <e type="operator" args="2">:</e>
            <e type="operand">v</e>
            <e type="operand">data</e>
            <e type="operand">2</e>
            <e type="function" preserve="true" args="2">col</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>
          </input>
        </math>
      </region>
      <region id="12" left="360" top="873" width="181" height="176" color="#000000" bgColor="#ffffff" fontSize="10">
        <math>
          <input>
            <e type="operand">barplot</e>
            <e type="operand">1</e>
            <e type="operand">v</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="2">el</e>
            <e type="function" args="2">Bar</e>
            <e type="operand">2</e>
            <e type="operand">v</e>
            <e type="operand">2</e>
            <e type="function" preserve="true" args="2">el</e>
            <e type="function" args="2">Bar</e>
            <e type="operand">3</e>
            <e type="operand">v</e>
            <e type="operand">3</e>
            <e type="function" preserve="true" args="2">el</e>
            <e type="function" args="2">Bar</e>
            <e type="operand">4</e>
            <e type="operand">v</e>
            <e type="operand">4</e>
            <e type="function" preserve="true" args="2">el</e>
            <e type="function" args="2">Bar</e>
            <e type="operand">5</e>
            <e type="operand">v</e>
            <e type="operand">5</e>
            <e type="function" preserve="true" args="2">el</e>
            <e type="function" args="2">Bar</e>
            <e type="operand">6</e>
            <e type="operand">v</e>
            <e type="operand">6</e>
            <e type="function" preserve="true" args="2">el</e>
            <e type="function" args="2">Bar</e>
            <e type="operand">6</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="8">sys</e>
            <e type="operator" args="2">:</e>
          </input>
        </math>
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      <region id="13" left="207" top="927" width="131" height="82" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
        <math>
          <input>
            <e type="operand">plot</e>
            <e type="operand">barplot</e>
            <e type="operand">0</e>
            <e type="operand">0</e>
            <e type="operand">5</e>
            <e type="operand">0</e>
            <e type="operand">5</e>
            <e type="operator" args="1">-</e>
            <e type="operand">2</e>
            <e type="operand">2</e>
            <e type="function" preserve="true" args="6">mat</e>
            <e type="operand">3</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="5">sys</e>
            <e type="operator" args="2">:</e>
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        </math>
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      <region id="14" top="1053" color="#000000" bgColor="#ffffff">
        <area terminator="true" />
      </region>
      <region id="15" left="54" top="1107" width="441" height="208" color="#000000" bgColor="#ebebeb" fontSize="10">
        <xyplot width="431" height="200" smoothing="false" points="100">
          <propertiessource index="1" sourcetype="PropertyGrid" />
          <grid gridcolor="LightGray" gridpattern="Solid" gridthickness="1" isxgrid="true" isygrid="true" />
          <xaxes xmin="-2" xmax="28" xtick="2" numberformat="General" decimalplaces="3" />
          <yaxes ymin="-5" ymax="5" ytick="1" numberformat="General" decimalplaces="3" />
          <y2axes isy2axis="false" y2min="-1" y2max="1" y2tick="0.5" numberformat="General" decimalplaces="3" />
          <title2d title="Custom bar/stem plot" titlefont="Times New Roman, 12pt, style=Bold" titlefontcolor="Black" />
          <xylabel labelfont="Arial, 10pt" labelfontcolor="Black" tickfont="Courier New, 10pt" tickfontcolor="Black" xlabel="'X' position" ylabel="'Y' values @ X" y2label="y2" />
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          <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" />
            <trace seriesname="" isy2data="false" isvisible="true" plotmethod="Lines" linecolor="Red" linethickness="1" linepattern="Solid" symbolsize="8" symboltype="None" symbolborderthickness="1" symbolbordercolor="Black" symbolfillcolor="White" />
            <trace seriesname="" isy2data="false" isvisible="true" plotmethod="Lines" linecolor="Green" linethickness="1" linepattern="Solid" symbolsize="8" symboltype="None" symbolborderthickness="1" symbolbordercolor="Black" symbolfillcolor="White" />
            <trace seriesname="" isy2data="false" isvisible="true" plotmethod="Lines" linecolor="Fuchsia" linethickness="1" linepattern="Solid" symbolsize="8" symboltype="None" symbolborderthickness="1" symbolbordercolor="Black" symbolfillcolor="White" />
            <trace seriesname="" isy2data="false" isvisible="true" plotmethod="Lines" linecolor="DarkOrange" linethickness="1" linepattern="Solid" symbolsize="8" symboltype="None" symbolborderthickness="1" symbolbordercolor="Black" symbolfillcolor="White" />
            <trace seriesname="" isy2data="false" isvisible="true" plotmethod="Lines" linecolor="SaddleBrown" linethickness="1" linepattern="Solid" symbolsize="8" symboltype="None" symbolborderthickness="1" symbolbordercolor="Black" symbolfillcolor="White" />
            <trace seriesname="" isy2data="false" isvisible="true" plotmethod="Lines" linecolor="Black" linethickness="1" linepattern="Solid" symbolsize="8" symboltype="None" symbolborderthickness="1" symbolbordercolor="Black" symbolfillcolor="White" />
            <trace seriesname="" isy2data="false" isvisible="true" plotmethod="Lines" linecolor="Black" linethickness="1" linepattern="Solid" symbolsize="8" symboltype="None" symbolborderthickness="1" symbolbordercolor="Black" symbolfillcolor="White" />
          </traces>
          <input>
            <e type="operand">plot</e>
          </input>
        </xyplot>
      </region>
      <region id="16" left="495" top="1179" width="123" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
        <math>
          <input>
            <e type="operand">fill</e>
            <e type="operand">size</e>
            <e type="operand">2</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="4">mat</e>
          </input>
          <result action="numeric">
            <e type="operand">7</e>
            <e type="operand">0.25</e>
            <e type="operand">2</e>
            <e type="operand">1</e>
            <e type="function" preserve="true" args="4">mat</e>
          </result>
        </math>
      </region>
      <region id="17" top="1377" color="#000000" bgColor="#ffffff">
        <area collapsed="true">
          <title lang="eng">
            <p>     W Centered Fourier spectrum     </p>
          </title>
        </area>
        <region id="18" left="558" top="1413" width="144" height="1826" color="#000000" bgColor="#ffffff" fontSize="10">
          <math>
            <input>
              <e type="operand">Ω</e>
              <e type="operand">5</e>
              <e type="operator" args="1">-</e>
              <e type="operand">1.671</e>
              <e type="operand">4.901</e>
              <e type="operator" args="1">-</e>
              <e type="operand">3.698</e>
              <e type="operand">4.802</e>
              <e type="operator" args="1">-</e>
              <e type="operand">2.514</e>
              <e type="operand">4.703</e>
              <e type="operator" args="1">-</e>
              <e type="operand">0.9</e>
              <e type="operand">4.604</e>
              <e type="operator" args="1">-</e>
              <e type="operand">0.407</e>
              <e type="operand">4.505</e>
              <e type="operator" args="1">-</e>
              <e type="operand">0.468</e>
              <e type="operand">4.406</e>
              <e type="operator" args="1">-</e>
              <e type="operand">0.392</e>
              <e type="operand">4.307</e>
              <e type="operator" args="1">-</e>
              <e type="operand">0.682</e>
              <e type="operand">4.208</e>
              <e type="operator" args="1">-</e>
              <e type="operand">0.123</e>
              <e type="operand">4.109</e>
              <e type="operator" args="1">-</e>
              <e type="operand">0.203</e>
              <e type="operand">4.01</e>
              <e type="operator" args="1">-</e>
              <e type="operand">0.194</e>
              <e type="operand">3.911</e>
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