﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio" version="0.95"?>
<regions>
  <settings>
    <calculation>
      <precision>4</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="true" printAreas="true" simpleEqualsOnly="false">
      <paper id="9" orientation="Portrait" width="826" height="1169" />
      <margins left="39" right="39" top="39" bottom="39" />
      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
      <footer alignment="Center" color="#a9a9a9">&amp;[PAGENUM] / &amp;[COUNT]</footer>
    </pageModel>
    <dependences>
      <assembly name="SMath Studio" version="0.95" guid="a37cba83-b69c-4c71-9992-55ff666763bd" />
      <assembly name="Text Region" version="1.8.4594.45" guid="485d28c5-349a-48b6-93be-12a35a1c1e39" />
      <assembly name="Math Region" version="0.95" guid="02f1ab51-215b-466e-a74d-5d8b1cf85e8d" />
      <assembly name="Special Functions" version="1.9.4594.42" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
      <assembly name="Plot Region" version="1.7.4594.38" guid="c451c2b5-798b-4f08-b9ec-b90963d1ddaa" />
    </dependences>
  </settings>
  <region id="0" left="0" top="0" width="484" height="33" color="#000000" bgColor="#ffffff" fontSize="12">
    <text lang="rus">
      <p bold="true">Поиск экстремумов аналичиеским методом</p>
    </text>
  </region>
  <region id="1" left="0" top="27" width="153" height="52" color="#000000" bgColor="#ffffff" fontSize="12">
    <math>
      <description active="true" position="Top" lang="rus">
        <p>Исследуемая функция</p>
      </description>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">y</e>
        <e type="operand">3</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</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>
      </input>
    </math>
  </region>
  <region id="2" left="198" top="27" width="165" height="62" color="#000000" bgColor="#ffffff" fontSize="12">
    <math>
      <description active="true" position="Top" lang="rus">
        <p>Производная функции</p>
      </description>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">y'</e>
        <e type="operand">x</e>
        <e type="function" args="1">y</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">diff</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="3" left="396" top="27" width="208" height="53" color="#000000" bgColor="#ffffff" fontSize="12">
    <math>
      <description active="true" position="Top" lang="rus">
        <p>Сивольный вид производной</p>
      </description>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">y'</e>
      </input>
      <result action="symbolic">
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="operator" args="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="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="4" left="0" top="117" width="102" height="33" color="#000000" bgColor="#ffffff" fontSize="12">
    <math>
      <description active="true" position="Top" lang="rus">
        <p>Начало диапазона</p>
      </description>
      <input>
        <e type="operand">z1</e>
        <e type="operand">1.5</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="5" left="198" top="117" width="93" height="33" color="#000000" bgColor="#ffffff" fontSize="12">
    <math>
      <description active="true" position="Top" lang="rus">
        <p>Конец диапазона</p>
      </description>
      <input>
        <e type="operand">z2</e>
        <e type="operand">1.5</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="6" left="0" top="180" width="322" height="37" color="#000000" bgColor="#ffffff" fontSize="12">
    <math>
      <description active="true" position="Top" lang="rus">
        <p>Поиск точек пересечения производной с осью X</p>
      </description>
      <input>
        <e type="operand">x1</e>
        <e type="operand">x</e>
        <e type="function" args="1">y'</e>
        <e type="operand">x</e>
        <e type="operand">z1</e>
        <e type="operand">z2</e>
        <e type="function" preserve="true" args="4">solve</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="7" left="0" top="243" width="207" height="35" color="#000000" bgColor="#ffffff" fontSize="12">
    <math>
      <description active="true" position="Top" lang="rus">
        <p>Создание пустой матрицы в 5 столбцов</p>
      </description>
      <input>
        <e type="operand">ext</e>
        <e type="operand">0</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="2">matrix</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="8" left="0" top="297" width="496" height="131" color="#000000" bgColor="#ffffff" fontSize="12">
    <math>
      <description active="true" position="Top" lang="rus">
        <p>Вычисление Y-координат экстремумов</p>
      </description>
      <input>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operand">x1</e>
        <e type="function" preserve="true" args="1">length</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">y1</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x1</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="function" args="1">y</e>
        <e type="function" preserve="true" args="1">eval</e>
        <e type="operator" args="2">:</e>
        <e type="operand">ext</e>
        <e type="operand">ext</e>
        <e type="operand">x1</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">y1</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand" style="string">.</e>
        <e type="operand">20</e>
        <e type="operand" style="string">red</e>
        <e type="operand">1</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="7">mat</e>
        <e type="function" preserve="true" args="2">stack</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>
      </input>
    </math>
  </region>
  <region id="9" left="513" top="342" width="104" height="62" color="#000000" bgColor="#ffffff" fontSize="12">
    <math>
      <input>
        <e type="operand">x1</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</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="10" left="621" top="342" width="104" height="62" color="#000000" bgColor="#ffffff" fontSize="12">
    <math>
      <input>
        <e type="operand">y1</e>
      </input>
      <result action="numeric">
        <e type="operand">2</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</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="11" left="0" top="459" width="166" height="42" color="#000000" bgColor="#ffffff" fontSize="12">
    <math>
      <input>
        <e type="operand">y1.min</e>
        <e type="operand">y1</e>
        <e type="function" preserve="true" args="1">min</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="12" left="189" top="459" width="166" height="42" color="#000000" bgColor="#ffffff" fontSize="12">
    <math>
      <input>
        <e type="operand">y1.max</e>
        <e type="operand">y1</e>
        <e type="function" preserve="true" args="1">max</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="13" left="396" top="459" width="207" height="43" color="#000000" bgColor="#ffffff" fontSize="12">
    <math>
      <input>
        <e type="operand">Δy1</e>
        <e type="operand">y1.min</e>
        <e type="operand">y1.max</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="1">abs</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="14" left="0" top="504" width="311" height="43" color="#000000" bgColor="#ffffff" fontSize="12">
    <math>
      <input>
        <e type="operand">y1.min</e>
        <e type="operand">y1.min</e>
        <e type="operand">Δy1</e>
        <e type="operand">0.2</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="1">eval</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="15" left="333" top="504" width="311" height="43" color="#000000" bgColor="#ffffff" fontSize="12">
    <math>
      <input>
        <e type="operand">y1.max</e>
        <e type="operand">y1.max</e>
        <e type="operand">Δy1</e>
        <e type="operand">0.2</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="1">eval</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="16" left="333" top="558" width="105" height="93" color="#000000" bgColor="#ffffff" fontSize="12">
    <math>
      <input>
        <e type="operand">D</e>
        <e type="operand">x</e>
        <e type="function" args="1">y</e>
        <e type="operand">x</e>
        <e type="function" args="1">y'</e>
        <e type="operand">ext</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="17" left="450" top="558" width="101" height="33" color="#0000ff" bgColor="#ffffff" fontSize="12">
    <text lang="rus">
      <p>функция</p>
    </text>
  </region>
  <region id="18" left="9" top="585" width="220" height="123" color="#000000" bgColor="#ffffff" fontSize="12">
    <math>
      <description active="true" position="Top" lang="rus">
        <p>Матрицы линий-маркеров</p>
      </description>
      <input>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operand">x1</e>
        <e type="function" preserve="true" args="1">rows</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">r</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x1</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">y1.max</e>
        <e type="operand">x1</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">y1.min</e>
        <e type="operand">2</e>
        <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>
      </input>
    </math>
  </region>
  <region id="19" left="450" top="585" width="150" height="33" color="#ff0000" bgColor="#ffffff" fontSize="12">
    <text lang="rus">
      <p>производная</p>
    </text>
  </region>
  <region id="20" left="450" top="621" width="138" height="33" color="#ff0000" bgColor="#ffffff" fontSize="12">
    <math>
      <input>
        <e type="operand">экстремумы</e>
      </input>
    </math>
  </region>
  <region id="21" left="333" top="666" width="220" height="77" color="#000000" bgColor="#ffffff" fontSize="12">
    <math>
      <input>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operand">x1</e>
        <e type="function" preserve="true" args="1">rows</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">D</e>
        <e type="operand">i</e>
        <e type="operand">3</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">r</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">:</e>
        <e type="function" preserve="true" args="3">for</e>
      </input>
    </math>
  </region>
  <region id="22" left="567" top="684" width="101" height="33" color="#ff0000" bgColor="#ffffff" fontSize="12">
    <math>
      <input>
        <e type="operand">маркеры</e>
      </input>
    </math>
  </region>
  <region id="23" left="0" top="747" width="493" height="233" color="#000000" bgColor="#ffffff" fontSize="12">
    <plot type="2d" render="lines" scale_x="2.14358881" scale_y="7.97828346740418" scale_z="15.5474174215778" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="0" transpose_y="0" transpose_z="0">
      <input>
        <e type="operand">D</e>
      </input>
    </plot>
  </region>
</regions>