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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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      <p bold="true">PRIMER 3.8</p>
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        <e type="operand">433.8</e>
        <e type="operand">556.4</e>
        <e type="operand">553</e>
        <e type="operand">562</e>
        <e type="operand">619.6</e>
        <e type="operand">5</e>
        <e type="operand">1</e>
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        <e type="operand">Pc</e>
        <e type="operand">31.6</e>
        <e type="operand">45</e>
        <e type="operand">40</e>
        <e type="operand">48.6</e>
        <e type="operand">38</e>
        <e type="operand">5</e>
        <e type="operand">1</e>
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        <e type="operand">101.33</e>
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        <e type="operand">6.771</e>
        <e type="operand">6.742</e>
        <e type="operand">6.844</e>
        <e type="operand">6.848</e>
        <e type="operand">7.330</e>
        <e type="operand">5</e>
        <e type="operand">1</e>
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        <e type="operand">0</e>
        <e type="operand">0.018</e>
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        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0.125</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.045</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.045</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0.797</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.797</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">4</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="22">mat</e>
        <e type="operator" args="2">:</e>
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        <e type="operand">B</e>
        <e type="operand">0</e>
        <e type="operand">149</e>
        <e type="operand">88</e>
        <e type="operand">274</e>
        <e type="operand">274</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">71</e>
        <e type="operand">53</e>
        <e type="operand">53</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">394</e>
        <e type="operand">394</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">4</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="22">mat</e>
        <e type="operator" args="2">:</e>
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        <e type="operand">z</e>
        <e type="operand">0.35</e>
        <e type="operand">0.1</e>
        <e type="operand">0.1</e>
        <e type="operand">0.1</e>
        <e type="operand">0.35</e>
        <e type="operand">5</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="7">mat</e>
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        <e type="operand">101.33</e>
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        <e type="operand">36</e>
        <e type="operand">Tr</e>
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        <e type="operand">42</e>
        <e type="operand">Tr</e>
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        <e type="operand">35</e>
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        <e type="operand">0.0364</e>
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        <e type="function" args="1">φ</e>
        <e type="operator" args="2">*</e>
        <e type="operand">Tr</e>
        <e type="function" preserve="true" args="1">log10</e>
        <e type="operator" args="2">-</e>
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        <e type="operand">Pc</e>
        <e type="operand">α</e>
        <e type="operand">T</e>
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        <e type="operand">10</e>
        <e type="operand">Pc</e>
        <e type="function" preserve="true" args="1">log10</e>
        <e type="operand">0.1183</e>
        <e type="operand">T</e>
        <e type="operand">Tc</e>
        <e type="operator" args="2">/</e>
        <e type="function" args="1">φ</e>
        <e type="operator" args="2">*</e>
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        <e type="operand">7</e>
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        <e type="operand">Tc</e>
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        <e type="operand">α</e>
        <e type="operand">7</e>
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        <e type="operand">T</e>
        <e type="operand">Tc</e>
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        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
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        <e type="operand">Nc</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">length</e>
        <e type="operator" args="2">:</e>
        <e type="operand">C</e>
        <e type="operand">A</e>
        <e type="operand">B</e>
        <e type="operand">T</e>
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        <e type="operand">x</e>
        <e type="operand">k</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operand">x</e>
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        <e type="function" preserve="true" args="2">el</e>
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        <e type="operand">k</e>
        <e type="operand">1</e>
        <e type="operand">Nc</e>
        <e type="function" preserve="true" args="4">sum</e>
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        <e type="operand">1</e>
        <e type="operand">Nc</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">n</e>
        <e type="operand">m</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="operand">Nc</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">y</e>
        <e type="operand">j</e>
        <e type="operand">n</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="operand">j</e>
        <e type="operand">m</e>
        <e type="operator" args="2">≡</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">|</e>
        <e type="operand">0</e>
        <e type="operand">C</e>
        <e type="operand">m</e>
        <e type="operand">n</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operand">x</e>
        <e type="operand">m</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operand">n</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="3">if</e>
        <e type="operator" args="2">:</e>
        <e type="operand">s</e>
        <e type="operand">s</e>
        <e type="operand">y</e>
        <e type="operator" args="2">-</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="function" preserve="true" args="3">for</e>
        <e type="operand">γ</e>
        <e type="operand">j</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">s</e>
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        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">line</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">γ</e>
        <e type="operand">7</e>
        <e type="operand">1</e>
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        <e type="operand">T</e>
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        <e type="operand">k</e>
        <e type="operand">γ</e>
        <e type="operand">Tc</e>
        <e type="operand">Pc</e>
        <e type="operand">α</e>
        <e type="operand">T</e>
        <e type="function" args="4">Po</e>
        <e type="operator" args="2">*</e>
        <e type="operand">P</e>
        <e type="operator" args="2">/</e>
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        <e type="operand">1</e>
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        <e type="operand">T</e>
        <e type="operand">350</e>
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        <e type="operand">0.5</e>
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      <p>Initial guess</p>
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        <e type="operand">k</e>
        <e type="operand">Tc</e>
        <e type="operand">Pc</e>
        <e type="operand">α</e>
        <e type="operand">T</e>
        <e type="function" args="4">Po</e>
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        <e type="operand">x</e>
        <e type="operand">z</e>
        <e type="operand">k</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operand">Φ</e>
        <e type="operator" args="2">*</e>
        <e type="operand">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>
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    <math>
      <input>
        <e type="operand">y</e>
        <e type="operand">k</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">vectorize</e>
        <e type="operator" args="2">:</e>
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      <p>Initial guess</p>
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        <e type="operand">z</e>
      </input>
      <result action="numeric">
        <e type="operand">0.35</e>
        <e type="operand">0.1</e>
        <e type="operand">0.1</e>
        <e type="operand">0.1</e>
        <e type="operand">0.35</e>
        <e type="operand">5</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="7">mat</e>
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    <math>
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        <e type="operand">y</e>
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      <result action="numeric">
        <e type="operand">0.699</e>
        <e type="operand">0.1981</e>
        <e type="operand">0.1978</e>
        <e type="operand">0.1978</e>
        <e type="operand">0.6541</e>
        <e type="operand">5</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="7">mat</e>
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        <e type="operand">x</e>
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      <result action="numeric">
        <e type="operand">0.001</e>
        <e type="operand">0.0019</e>
        <e type="operand">0.0022</e>
        <e type="operand">0.0022</e>
        <e type="operand">0.0459</e>
        <e type="operand">5</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="7">mat</e>
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        <e type="operand">Φ</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" args="3">f</e>
        <e type="operand">f</e>
        <e type="operand">z</e>
        <e type="operand">Φ</e>
        <e type="operand">y</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operand">Φ</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operand">x</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="operand">g</e>
        <e type="operand">y</e>
        <e type="operand">x</e>
        <e type="operator" args="2">/</e>
        <e type="function" preserve="true" args="1">vectorize</e>
        <e type="operand">x</e>
        <e type="operand">P</e>
        <e type="operand">T</e>
        <e type="function" args="3">kγ</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
        <e type="operand">h</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sum</e>
        <e type="bracket">(</e>
        <e type="operand">y</e>
        <e type="function" preserve="true" args="1">sum</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
        <e type="operand">f</e>
        <e type="operand">g</e>
        <e type="operand">h</e>
        <e type="function" preserve="true" args="3">stack</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>
      </input>
    </math>
  </region>
  <region id="24" left="279" top="1179" width="189" height="207" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Φ</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" args="3">f</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">681.7827</e>
        <e type="operand">100.7947</e>
        <e type="operand">89.2397</e>
        <e type="operand">90.6594</e>
        <e type="operand">14.1025</e>
        <e type="operand">1.8935</e>
        <e type="operator" args="1">-</e>
        <e type="operand">11</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="13">mat</e>
      </result>
    </math>
  </region>
  <region id="25" left="9" top="1458" width="229" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>HOW TO SOLVE for Φ,x,y  ???</p>
    </text>
  </region>
  <region id="26" left="252" top="1458" width="109" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">Φ</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" args="3">f</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
      </input>
    </math>
  </region>
  <region id="27" left="9" top="1494" width="241" height="24" color="#000000" bgColor="#ff8080" fontSize="10">
    <text lang="eng">
      <p>CLOSE ENOUGH TO THE SOLUTION</p>
    </text>
  </region>
  <region id="28" left="18" top="1530" width="94" height="99" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">x</e>
        <e type="operand">0.049</e>
        <e type="operand">0.0973</e>
        <e type="operand">0.0953</e>
        <e type="operand">0.1047</e>
        <e type="operand">0.6538</e>
        <e type="operand">5</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="7">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="29" left="135" top="1530" width="94" height="99" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">y</e>
        <e type="operand">0.6044</e>
        <e type="operand">0.1023</e>
        <e type="operand">0.104</e>
        <e type="operand">0.096</e>
        <e type="operand">0.0933</e>
        <e type="operand">5</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="7">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="30" left="243" top="1539" width="76" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">Φ</e>
        <e type="operand">0.542</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="31" left="9" top="1656" width="217" height="261" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="3">
      <input>
        <e type="operand">Φ</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" args="3">f</e>
      </input>
      <result action="numeric">
        <e type="operand">2.68</e>
        <e type="operand">10</e>
        <e type="operand">5</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand">10</e>
        <e type="operand">5</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1.54</e>
        <e type="operand">10</e>
        <e type="operand">5</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1.54</e>
        <e type="operand">10</e>
        <e type="operand">5</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">9</e>
        <e type="operand">10</e>
        <e type="operand">6</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.005</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0.001</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2.904</e>
        <e type="operand">10</e>
        <e type="operand">5</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">11</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="13">mat</e>
      </result>
    </math>
  </region>
  <region id="32" top="2601" color="#000000" bgColor="#ffffff">
    <area single="true" collapsed="true" />
  </region>
</regions>