﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio" version="0.85"?>
<regions>
  <settings>
    <editable>true</editable>
    <calculation>
      <functions>0</functions>
      <precision>4</precision>
      <angle>radians</angle>
      <fractions>decimal</fractions>
      <recalculation>true</recalculation>
    </calculation>
  </settings>
  <region id="0" left="9" top="9" width="132" height="34" border="false" color="#000000" background-color="#ffffff" font-size="10">
    <math fraction-type="none" evaluate="true">
      <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="operator" args="2">+</e>
      <e type="operand">1</e>
      <e type="operator" args="2">-</e>
      <e type="operator" args="2">←</e>
    </math>
  </region>
  <region id="1" left="414" top="9" width="275" height="34" border="false" color="#000000" background-color="#ffffff" font-size="10">
    <math fraction-type="none" evaluate="true">
      <e type="operand">x</e>
      <e type="function" args="1">g</e>
      <e type="operand">1</e>
      <e type="operator" args="1">-</e>
      <e type="bracket">(</e>
      <e type="operand">x</e>
      <e type="operand">0</e>
      <e type="operator" args="2">^</e>
      <e type="operator" args="2">*</e>
      <e type="operand">2</e>
      <e type="bracket">(</e>
      <e type="operand">x</e>
      <e type="operand">1</e>
      <e type="operator" args="2">^</e>
      <e type="operator" args="2">*</e>
      <e type="operator" args="2">+</e>
      <e type="operand">0</e>
      <e type="bracket">(</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="operand">1</e>
      <e type="bracket">(</e>
      <e type="operand">x</e>
      <e type="operand">3</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>
    </math>
  </region>
  <region id="2" left="252" top="18" width="45" height="24" border="false" color="#000000" background-color="#ffffff" font-size="10">
    <text lang="rus">
      <p bold="false" href="">i.e.</p>
    </text>
  </region>
  <region id="3" left="225" top="45" width="104" height="26" border="false" color="#000000" background-color="#ffffff" font-size="10">
    <math fraction-type="none" evaluate="true">
      <e type="operand">x</e>
      <e type="function" args="1">f</e>
      <e type="operand">x</e>
      <e type="function" args="1">g</e>
      <e type="operator" args="2">-</e>
      <e type="operand">0</e>
      <e type="operator" args="2">—</e>
    </math>
  </region>
  <region id="4" left="9" top="81" width="687" height="40" border="false" color="#000000" background-color="#ffffff" font-size="10">
    <text lang="rus">
      <p bold="false" href="">Coefficients of a vector for the polyroots function should be ordered by 'x' power from min value to max as shown into the defined above g(x) function.</p>
    </text>
  </region>
  <region id="5" left="9" top="117" width="180" height="82" border="false" color="#000000" background-color="#ffffff" font-size="10">
    <math evaluate="true">
      <e type="operand">roots</e>
      <e type="operand">1</e>
      <e type="operator" args="1">-</e>
      <e type="operand">2</e>
      <e type="operand">0</e>
      <e type="operand">1</e>
      <e type="operand">4</e>
      <e type="operand">1</e>
      <e type="function" args="6">mat</e>
      <e type="function" args="1">polyroots</e>
      <e type="operator" args="2">←</e>
    </math>
  </region>
  <region id="6" left="234" top="126" width="210" height="62" border="false" color="#000000" background-color="#ffffff" font-size="10">
    <math evaluate="true">
      <e type="operand">roots</e>
      <e type="operand">0,4534</e>
      <e type="operand">0,2267</e>
      <e type="operator" args="1">-</e>
      <e type="operand">1,4677</e>
      <e type="operand">i</e>
      <e type="operator" args="2">*</e>
      <e type="operator" args="2">+</e>
      <e type="operand">0,2267</e>
      <e type="operator" args="1">-</e>
      <e type="operand">1,4677</e>
      <e type="operand">i</e>
      <e type="operator" args="2">*</e>
      <e type="operator" args="2">-</e>
      <e type="operand">3</e>
      <e type="operand">1</e>
      <e type="function" args="5">mat</e>
      <e type="operator" args="2">=</e>
    </math>
  </region>
  <region id="7" left="9" top="207" width="108" height="34" border="false" color="#000000" background-color="#ffffff" font-size="10">
    <math evaluate="true">
      <e type="operand">roots</e>
      <e type="operand">1</e>
      <e type="function" args="2">el</e>
      <e type="function" args="1">f</e>
      <e type="operand">0</e>
      <e type="operator" args="2">=</e>
    </math>
  </region>
  <region id="8" left="414" top="207" width="108" height="34" border="false" color="#000000" background-color="#ffffff" font-size="10">
    <math evaluate="true">
      <e type="operand">roots</e>
      <e type="operand">1</e>
      <e type="function" args="2">el</e>
      <e type="function" args="1">g</e>
      <e type="operand">0</e>
      <e type="operator" args="2">=</e>
    </math>
  </region>
  <region id="9" left="9" top="234" width="339" height="41" border="false" color="#000000" background-color="#ffffff" font-size="10">
    <math evaluate="true">
      <e type="operand">roots</e>
      <e type="operand">2</e>
      <e type="function" args="2">el</e>
      <e type="function" args="1">f</e>
      <e type="operand">2,2204</e>
      <e type="operand">10</e>
      <e type="operand">15</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">1,9429</e>
      <e type="operand">10</e>
      <e type="operand">15</e>
      <e type="operator" args="1">-</e>
      <e type="operator" args="2">^</e>
      <e type="operator" args="2">*</e>
      <e type="operand">i</e>
      <e type="operator" args="2">*</e>
      <e type="operator" args="2">-</e>
      <e type="operator" args="2">=</e>
    </math>
  </region>
  <region id="10" left="414" top="234" width="339" height="41" border="false" color="#000000" background-color="#ffffff" font-size="10">
    <math fraction-type="none" evaluate="true">
      <e type="operand">roots</e>
      <e type="operand">2</e>
      <e type="function" args="2">el</e>
      <e type="function" args="1">g</e>
      <e type="operand">2,2204</e>
      <e type="operand">10</e>
      <e type="operand">15</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">1,9429</e>
      <e type="operand">10</e>
      <e type="operand">15</e>
      <e type="operator" args="1">-</e>
      <e type="operator" args="2">^</e>
      <e type="operator" args="2">*</e>
      <e type="operand">i</e>
      <e type="operator" args="2">*</e>
      <e type="operator" args="2">-</e>
      <e type="operator" args="2">=</e>
    </math>
  </region>
  <region id="11" left="9" top="270" width="330" height="41" border="false" color="#000000" background-color="#ffffff" font-size="10">
    <math evaluate="true">
      <e type="operand">roots</e>
      <e type="operand">3</e>
      <e type="function" args="2">el</e>
      <e type="function" args="1">f</e>
      <e type="operand">8,8818</e>
      <e type="operand">10</e>
      <e type="operand">16</e>
      <e type="operator" args="1">-</e>
      <e type="operator" args="2">^</e>
      <e type="operator" args="2">*</e>
      <e type="operand">1,4433</e>
      <e type="operand">10</e>
      <e type="operand">15</e>
      <e type="operator" args="1">-</e>
      <e type="operator" args="2">^</e>
      <e type="operator" args="2">*</e>
      <e type="operand">i</e>
      <e type="operator" args="2">*</e>
      <e type="operator" args="2">+</e>
      <e type="operator" args="2">=</e>
    </math>
  </region>
  <region id="12" left="414" top="270" width="330" height="41" border="false" color="#000000" background-color="#ffffff" font-size="10">
    <math fraction-type="none" evaluate="true">
      <e type="operand">roots</e>
      <e type="operand">3</e>
      <e type="function" args="2">el</e>
      <e type="function" args="1">g</e>
      <e type="operand">8,8818</e>
      <e type="operand">10</e>
      <e type="operand">16</e>
      <e type="operator" args="1">-</e>
      <e type="operator" args="2">^</e>
      <e type="operator" args="2">*</e>
      <e type="operand">1,4433</e>
      <e type="operand">10</e>
      <e type="operand">15</e>
      <e type="operator" args="1">-</e>
      <e type="operator" args="2">^</e>
      <e type="operator" args="2">*</e>
      <e type="operand">i</e>
      <e type="operator" args="2">*</e>
      <e type="operator" args="2">+</e>
      <e type="operator" args="2">=</e>
    </math>
  </region>
  <region id="13" left="9" top="324" width="634" height="40" border="false" color="#000000" background-color="#ffffff" font-size="10">
    <text lang="rus">
      <p bold="false" href="">Note, the accuracy of polyroots function ia equal to the 10^(-15) that's whysome answers are not zero, but those answers are very closed to zero.</p>
    </text>
  </region>
</regions>