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      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
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      <p bold="true">PRIMER 3.8</p>
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      <p>from an input vector, you appy some mathsending to a resulting vector. What are youattempting to solve between these two vectors ? </p>
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        <e type="operand">Φxy0</e>
        <e type="function" preserve="true" args="3">roots</e>
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      <result action="numeric">
        <e type="operand">#</e>
      </result>
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    <math>
      <input>
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        <e type="operand">x#</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x#</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x#</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x#</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x#</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">5</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="7">mat</e>
        <e type="operand">y#</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">y#</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">y#</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">y#</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">y#</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">5</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="7">mat</e>
        <e type="function" args="3">f</e>
      </input>
    </math>
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    <math error="2">
      <input>
        <e type="operand">Φ#</e>
      </input>
      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
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    <math error="2">
      <input>
        <e type="operand">Φxy#</e>
      </input>
      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
  <region id="43" left="0" top="2826" width="235" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="68" decimalPlaces="15">
      <input>
        <e type="operand">Φxy#</e>
        <e type="function" args="1">J</e>
        <e type="operand">Φxy#</e>
        <e type="function" args="1">f</e>
        <e type="operand">Φxy#</e>
        <e type="function" preserve="true" args="2">Jacob</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="44" left="333" top="2835" width="242" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="68" decimalPlaces="4">
      <input>
        <e type="operand">Φxy#</e>
        <e type="function" args="1">f</e>
        <e type="operand">Φxy0</e>
        <e type="function" preserve="true" args="2">Jacobian.CD</e>
      </input>
      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
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    <math error="0" decimalPlaces="4">
      <input>
        <e type="operand">Φxy0</e>
        <e type="function" args="1">J</e>
        <e type="operand">#</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="46" left="333" top="2880" width="225" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math error="68" decimalPlaces="4">
      <input>
        <e type="operand">Φxy#</e>
        <e type="function" args="1">f</e>
        <e type="operand">Φxy0</e>
        <e type="function" preserve="true" args="2">FindRoot</e>
      </input>
      <result action="numeric">
        <e type="operand">#</e>
      </result>
    </math>
  </region>
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    <math optimize="2" evaluate="false" decimalPlaces="15">
      <input>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operand">10</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">Φxy</e>
        <e type="operand">Φxy0</e>
        <e type="operand">Φ</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" args="3">J</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operand">Φ</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" args="3">f</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
        <e type="operand">x</e>
        <e type="operand">Φxy</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">Φxy</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">Φxy</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">Φxy</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">Φxy</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="2">el</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>
        <e type="operand">y</e>
        <e type="operand">Φxy</e>
        <e type="operand">6</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">Φxy</e>
        <e type="operand">7</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">Φxy</e>
        <e type="operand">8</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">Φxy</e>
        <e type="operand">9</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">Φxy</e>
        <e type="operand">10</e>
        <e type="function" preserve="true" args="2">el</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>
        <e type="operand">Φ</e>
        <e type="operand">Φxy</e>
        <e type="operand">11</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">:</e>
        <e type="operand">Φxy0</e>
        <e type="operand">Φxy</e>
        <e type="operator" args="2">:</e>
        <e type="operand">5</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="7">line</e>
        <e type="function" preserve="true" args="3">for</e>
      </input>
    </math>
  </region>
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    <math evaluate="false" decimalPlaces="15">
      <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">#</e>
      </result>
    </math>
  </region>
  <region id="49" left="333" top="3366" width="104" height="99" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">x</e>
      </input>
      <result action="numeric">
        <e type="operand">0.0898</e>
        <e type="operand">0.0998</e>
        <e type="operand">0.1058</e>
        <e type="operand">0.1051</e>
        <e type="operand">0.6137</e>
        <e type="operand">5</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="7">mat</e>
      </result>
    </math>
  </region>
  <region id="50" left="450" top="3366" width="104" height="99" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">y</e>
      </input>
      <result action="numeric">
        <e type="operand">0.6102</e>
        <e type="operand">0.1002</e>
        <e type="operand">0.0942</e>
        <e type="operand">0.0949</e>
        <e type="operand">0.0863</e>
        <e type="operand">5</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="7">mat</e>
      </result>
    </math>
  </region>
  <region id="51" left="558" top="3375" width="70" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">Φ</e>
      </input>
      <result action="numeric">
        <e type="operand">0.5</e>
      </result>
    </math>
  </region>
  <region id="52" top="3654" color="#000000" bgColor="#ffffff">
    <area single="true" collapsed="true" />
  </region>
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