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      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
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      <p>&lt;= install a divide by zero protection&lt;= .. will minimize plotting on the LHS </p>
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      <p bold="true">Frechet PDF Extreme II</p>
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      <p bold="true">1. mtp "unirange"</p>
    </text>
  </region>
  <region id="32" left="576" top="1305" width="96" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math fractionType="auto">
      <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="33" left="18" top="1341" width="316" height="99" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2" decimalPlaces="4" exponentialThreshold="3">
      <input>
        <e type="operand">data</e>
        <e type="function" args="1">UnestRow</e>
        <e type="operand">v</e>
        <e type="operand">data</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">data</e>
        <e type="function" preserve="true" args="1">rows</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">v</e>
        <e type="operand">v</e>
        <e type="operand">data</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">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="34" left="360" top="1341" width="317" height="130" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <math fractionType="auto">
      <input>
        <e type="operand">f</e>
        <e type="operand">L</e>
        <e type="operand">H</e>
        <e type="operand">N</e>
        <e type="function" args="4">mtp</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">x</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">L</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="operand">N</e>
        <e type="operator" args="2">/</e>
        <e type="operand">H</e>
        <e type="operand">L</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="operator" args="2">:</e>
        <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">f</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="function" preserve="true" args="3">for</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</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>
      </input>
    </math>
  </region>
  <region id="35" left="369" top="1485" width="279" height="44" color="#000000" bgColor="#ebebc8" fontSize="10">
    <math fractionType="auto">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="1">ln</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operand">1</e>
        <e type="operand">x</e>
        <e type="operand">0.001</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">/</e>
        <e type="operand">1</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="6">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="36" left="369" top="1539" width="163" height="27" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2" fractionType="auto">
      <input>
        <e type="operand">L</e>
        <e type="operand">0</e>
        <e type="operator" args="2">:</e>
        <e type="operand">H</e>
        <e type="operand">3</e>
        <e type="operand">π</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
        <e type="operand">N</e>
        <e type="operand">100</e>
        <e type="operator" args="2">:</e>
        <e type="operand">1</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="5">mat</e>
      </input>
    </math>
  </region>
  <region id="37" left="18" top="1557" width="255" height="87" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <math fractionType="auto">
      <description active="true" position="Top" lang="eng">
        <p>Explode the project</p>
      </description>
      <input>
        <e type="operand">X</e>
        <e type="operand">f</e>
        <e type="operand">L</e>
        <e type="operand">H</e>
        <e type="operand">N</e>
        <e type="function" args="4">mtp</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">:</e>
        <e type="operand">Ys</e>
        <e type="operand">f</e>
        <e type="operand">L</e>
        <e type="operand">H</e>
        <e type="operand">N</e>
        <e type="function" args="4">mtp</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="function" preserve="true" args="1">sys2mat</e>
        <e type="operator" args="2">:</e>
        <e type="operand">Y</e>
        <e type="operand">Ys</e>
        <e type="function" args="1">UnestRow</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>
      </input>
    </math>
  </region>
  <region id="38" left="369" top="1584" width="364" height="88" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>1. add/insert fnct: place holder on thefuct =&gt; coma to add a fill-in place holder.2. remove fnct: place holder on that fnct,delete [done]3. To blank a trace: "" in "collect".  </p>
    </text>
  </region>
  <region id="39" left="18" top="1701" width="261" height="97" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2" fractionType="auto">
      <description active="true" position="Top" lang="eng">
        <p>Collect the projet for plotting</p>
      </description>
      <input>
        <e type="operand">collect</e>
        <e type="operand">X</e>
        <e type="operand">Y</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="function" preserve="true" args="2">augment</e>
        <e type="operand">X</e>
        <e type="operand">Y</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="function" preserve="true" args="2">augment</e>
        <e type="operand">X</e>
        <e type="operand">Y</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="function" preserve="true" args="2">augment</e>
        <e type="operand">X</e>
        <e type="operand">Y</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="function" preserve="true" args="2">augment</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">sys</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="40" left="369" top="1701" width="240" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="3.138428376721" scale_y="2.14358881" scale_z="6.72749994932561" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-85" transpose_y="-24" transpose_z="0">
      <input>
        <e type="operand">collect</e>
      </input>
    </plot>
  </region>
  <region id="41" left="18" top="1845" width="158" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math fractionType="auto" decimalPlaces="1">
      <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">4.5</e>
        <e type="operand" style="unit">s</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="42" left="18" top="1899" width="169" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math fractionType="auto">
      <input>
        <e type="operand">x</e>
        <e type="operand">π</e>
        <e type="operator" args="1">-</e>
        <e type="operand">π</e>
        <e type="operand">π</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.01</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="function" preserve="true" args="3">range</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="43" left="18" top="1926" width="190" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math fractionType="auto">
      <input>
        <e type="operand">V</e>
        <e type="operand">x</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">mwsin</e>
        <e type="function" preserve="true" args="2">augment</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="44" left="18" top="1962" width="240" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="6.11590904484146" scale_y="3.4522712143931" scale_z="21.1137767453526" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="0" transpose_y="0" transpose_z="0">
      <input>
        <e type="operand">V</e>
      </input>
    </plot>
  </region>
  <region id="45" left="315" top="2097" width="129" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">Clear</e>
        <e type="operator" args="2">:</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
      </result>
    </math>
  </region>
  <region id="46" left="9" top="2187" width="303" height="31" color="#800000" bgColor="#ffffff" fontSize="14">
    <text lang="eng">
      <p bold="true">2. mtp "Asymmetric range"</p>
    </text>
  </region>
  <region id="47" left="9" top="2232" width="432" height="96" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2" decimalPlaces="4">
      <input>
        <e type="operand">Low</e>
        <e type="operand">High</e>
        <e type="operand">step</e>
        <e type="operand">u</e>
        <e type="function" args="1">fnct</e>
        <e type="function" args="4">inc</e>
        <e type="operand">U</e>
        <e type="operand">Low</e>
        <e type="operand">High</e>
        <e type="operand">step</e>
        <e type="function" preserve="true" args="3">range</e>
        <e type="operator" args="2">:</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">f</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">U</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="function" args="1">fnct</e>
        <e type="function" preserve="true" args="1">eval</e>
        <e type="operator" args="2">:</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">U</e>
        <e type="operand">f</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="48" left="9" top="2349" width="96" height="26" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math decimalPlaces="4">
      <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="49" left="9" top="2394" width="100" height="50" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">F</e>
        <e type="operand">0.1</e>
        <e type="operand">1</e>
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="50" left="162" top="2403" width="148" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">q</e>
        <e type="operand">0.125</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="51" left="360" top="2403" width="117" height="27" color="#000000" bgColor="#ffffff" fontSize="10">
    <math fractionType="auto">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">S</e>
        <e type="operand">0.05</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="52" left="9" top="2475" width="389" height="31" color="#000000" bgColor="#ffc8c8" fontSize="14">
    <text lang="eng">
      <p bold="true">Note the transit variate    x &lt;= u</p>
    </text>
  </region>
  <region id="53" left="9" top="2511" width="256" height="28" color="#000000" bgColor="#ffc8c8" fontSize="10">
    <math optimize="2" decimalPlaces="4">
      <input>
        <e type="operand">Plot_1</e>
        <e type="operand">5</e>
        <e type="operator" args="1">-</e>
        <e type="operand">5</e>
        <e type="operand">4.95</e>
        <e type="operator" args="1">-</e>
        <e type="operand">u</e>
        <e type="function" args="1">F</e>
        <e type="function" args="4">inc</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="54" left="9" top="2538" width="285" height="28" color="#000000" bgColor="#ffc8c8" fontSize="10">
    <math optimize="2" decimalPlaces="4">
      <input>
        <e type="operand">Plot_2</e>
        <e type="operand">π</e>
        <e type="operator" args="1">-</e>
        <e type="operand">π</e>
        <e type="operand">π</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.05</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">u</e>
        <e type="function" args="1">q</e>
        <e type="function" args="4">inc</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="55" left="9" top="2565" width="238" height="28" color="#000000" bgColor="#ffc8c8" fontSize="10">
    <math fractionType="auto">
      <input>
        <e type="operand">Plot_3</e>
        <e type="operand">0</e>
        <e type="operand">5</e>
        <e type="operand">0.05</e>
        <e type="operand">u</e>
        <e type="function" args="1">S</e>
        <e type="function" args="4">inc</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="56" left="9" top="2601" width="97" height="63" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math fractionType="auto">
      <input>
        <e type="operand">P</e>
        <e type="operand">Plot_1</e>
        <e type="operand">Plot_2</e>
        <e type="operand">Plot_3</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>
      </input>
    </math>
  </region>
  <region id="57" left="216" top="2646" width="158" height="26" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math decimalPlaces="1">
      <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">0.7</e>
        <e type="operand" style="unit">s</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="58" left="9" top="2673" width="381" height="179" color="#000000" bgColor="#ebebeb" fontSize="10">
    <plot type="2d" render="lines" scale_x="29.1036750864726" scale_y="1.70118269787471" scale_z="27.94748162873" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="6" transpose_y="0" transpose_z="0">
      <description active="true" position="Top" lang="eng">
        <p>Plot range, collect global</p>
      </description>
      <input>
        <e type="operand">P</e>
      </input>
    </plot>
  </region>
  <region id="59" left="270" top="2799" width="176" height="69" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math fractionType="auto">
      <input>
        <e type="operand">Plot_1</e>
        <e type="function" preserve="true" args="1">rows</e>
        <e type="operand">Plot_2</e>
        <e type="function" preserve="true" args="1">rows</e>
        <e type="operand">Plot_3</e>
        <e type="function" preserve="true" args="1">rows</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
      </input>
      <result action="numeric">
        <e type="operand">201</e>
        <e type="operand">126</e>
        <e type="operand">101</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
      </result>
    </math>
  </region>
  <region id="60" left="9" top="3105" width="337" height="31" color="#800000" bgColor="#ffffff" fontSize="14">
    <text lang="eng">
      <p bold="true">3. mtp "any range, any 'N' "</p>
    </text>
  </region>
  <region id="61" left="9" top="3150" width="438" height="184" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">x0</e>
        <e type="operand">x1</e>
        <e type="operand">xmesh</e>
        <e type="function" args="4">Xmesh</e>
        <e type="operand" style="string">clear U from previous</e>
        <e type="operand">U</e>
        <e type="operand">0</e>
        <e type="operator" args="2">:</e>
        <e type="operand">count</e>
        <e type="operand">1</e>
        <e type="operator" args="2">:</e>
        <e type="operand">i</e>
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