﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio Desktop" version="0.98.6179.21440"?>
<regions>
  <settings>
    <identity>
      <id>dc77e8eb-0e44-4014-a5aa-3b073bf35c25</id>
      <revision>6</revision>
    </identity>
    <calculation>
      <precision>15</precision>
      <exponentialThreshold>12</exponentialThreshold>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="true" printAreas="true" simpleEqualsOnly="false" printBackgroundImages="true">
      <paper id="1" orientation="Portrait" width="850" height="1100" />
      <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>
      <backgrounds />
    </pageModel>
    <dependencies>
      <assembly name="SMath Studio Desktop" version="0.98.6179.21440" guid="a37cba83-b69c-4c71-9992-55ff666763bd" />
      <assembly name="Math Region" version="0.98.6179.21440" guid="02f1ab51-215b-466e-a74d-5d8b1cf85e8d" />
      <assembly name="Picture Region" version="1.10.6179.21444" guid="06b5df04-393e-4be7-9107-305196fcb861" />
      <assembly name="Special Functions" version="1.11.6179.21442" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
      <assembly name="Text Region" version="1.10.6179.21446" guid="485d28c5-349a-48b6-93be-12a35a1c1e39" />
      <assembly name="Plot Region" version="1.9.6179.21450" guid="c451c2b5-798b-4f08-b9ec-b90963d1ddaa" />
    </dependencies>
    <mode debug="true" />
  </settings>
  <region id="0" top="18" color="#000000" bgColor="#ffffff">
    <area collapsed="true">
      <title lang="eng">
        <p>     PolyFit(x,y,n)     </p>
      </title>
    </area>
    <region id="1" left="9" top="54" width="435" height="169" border="true" color="#000000" bgColor="#ffffe1" fontSize="10">
      <math decimalPlaces="4">
        <description active="true" position="Top" lang="eng">
          <p>code adapted from Alvaro 20101209 ... 1/1 MCD this example</p>
        </description>
        <input>
          <e type="operand">x</e>
          <e type="operand">y</e>
          <e type="operand">n</e>
          <e type="function" args="3">PolyFit</e>
          <e type="operand">m</e>
          <e type="operand">x</e>
          <e type="function" preserve="true" args="1">length</e>
          <e type="operator" args="2">:</e>
          <e type="operand">r</e>
          <e type="operand">1</e>
          <e type="operand">m</e>
          <e type="function" preserve="true" args="2">range</e>
          <e type="operator" args="2">:</e>
          <e type="operand">c</e>
          <e type="operand">1</e>
          <e type="operand">n</e>
          <e type="operand">1</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</e>
          <e type="function" preserve="true" args="2">range</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>
          <e type="operand">A</e>
          <e type="operand">m</e>
          <e type="operand">n</e>
          <e type="operand">1</e>
          <e type="operator" args="2">+</e>
          <e type="function" preserve="true" args="2">matrix</e>
          <e type="operand">1</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">:</e>
          <e type="operand">r</e>
          <e type="operand">1</e>
          <e type="operand">x</e>
          <e type="function" preserve="true" args="1">length</e>
          <e type="function" preserve="true" args="2">range</e>
          <e type="operand">c</e>
          <e type="operand">1</e>
          <e type="operand">n</e>
          <e type="operand">1</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</e>
          <e type="function" preserve="true" args="2">range</e>
          <e type="operand">A</e>
          <e type="operand">r</e>
          <e type="operand">c</e>
          <e type="function" preserve="true" args="3">el</e>
          <e type="operand">x</e>
          <e type="operand">r</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">x</e>
          <e type="operand">r</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">0</e>
          <e type="operator" args="2">≡</e>
          <e type="bracket">(</e>
          <e type="operand">c</e>
          <e type="operand">1</e>
          <e type="operator" args="2">≡</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">&amp;</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</e>
          <e type="operand">c</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="function" preserve="true" args="3">for</e>
          <e type="function" preserve="true" args="3">for</e>
          <e type="operand">A</e>
          <e type="function" preserve="true" args="1">transpose</e>
          <e type="operand">A</e>
          <e type="operator" args="2">*</e>
          <e type="bracket">(</e>
          <e type="operand">1</e>
          <e type="operator" args="1">-</e>
          <e type="operator" args="2">^</e>
          <e type="operand">A</e>
          <e type="function" preserve="true" args="1">transpose</e>
          <e type="operand">y</e>
          <e type="operator" args="2">*</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="function" preserve="true" args="1">eval</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="2" left="9" top="252" width="328" height="70" border="true" color="#000000" bgColor="#ffffe1" fontSize="10">
      <math decimalPlaces="4">
        <input>
          <e type="operand">p</e>
          <e type="operand">x</e>
          <e type="function" args="2">PolyVal</e>
          <e type="operand">p</e>
          <e type="operand">k</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">x</e>
          <e type="operand">k</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>
          <e type="operand">k</e>
          <e type="operand">1</e>
          <e type="operand">p</e>
          <e type="function" preserve="true" args="1">length</e>
          <e type="function" preserve="true" args="4">sum</e>
          <e type="function" preserve="true" args="1">eval</e>
          <e type="operand">1</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="3">line</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="3" left="9" top="333" width="523" height="76" border="true" color="#000000" bgColor="#ebebeb" fontSize="10">
      <math optimize="2" fractionType="auto" decimalPlaces="3">
        <input>
          <e type="operand">data</e>
          <e type="operand">char</e>
          <e type="operand">size</e>
          <e type="operand">clr</e>
          <e type="function" args="4">plot</e>
          <e type="operand">k</e>
          <e type="operand">1</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">r3</e>
          <e type="operand">k</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">char</e>
          <e type="operator" args="2">:</e>
          <e type="operand">r4</e>
          <e type="operand">k</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">size</e>
          <e type="operator" args="2">:</e>
          <e type="operand">r5</e>
          <e type="operand">k</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">clr</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>
          <e type="function" preserve="true" args="3">for</e>
          <e type="operand">data</e>
          <e type="operand">r3</e>
          <e type="operand">r4</e>
          <e type="operand">r5</e>
          <e type="function" preserve="true" args="4">augment</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="4" top="423" color="#000000" bgColor="#ffffff">
      <area terminator="true" />
    </region>
  </region>
  <region id="5" left="9" top="468" width="349" height="31" color="#000000" bgColor="#80ffff" fontSize="14">
    <text lang="eng">
      <p bold="true">Balistic control by submatrix</p>
    </text>
  </region>
  <region id="6" left="396" top="468" width="76" height="31" color="#000000" bgColor="#80ffff" fontSize="14">
    <math>
      <input>
        <e type="operand">sub</e>
        <e type="operand">4</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="7" left="486" top="468" width="67" height="29" color="#000000" bgColor="#ffffff">
    <picture>
      <raw format="png" encoding="base64">iVBORw0KGgoAAAANSUhEUgAAADsAAAAVCAYAAAD4g5b1AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAC5SURBVFhH5ZRRCoQwDAUX8f4nlu2iEJDHGND2hcUOzI+amgHx0ybiiN2+W5nrsuJ1h0pZ7B4Z0n2Hij32HPnaWIoM6XmHyvBYilNpzqEyLJairqR5h0p3LMW4pPdnKo9jaRm3tEemcjuWlqiS9slUjlg6+A0qjz5jOrhC2iVT6fpB0UJOaYdMpSs2pMUy6QyHypDYkMJImnWoDI0NKfAszThULLEhhe7G/WqsseFUseFfxM7CRLGt/QDEBged7UtWcwAAAABJRU5ErkJggg==</raw>
    </picture>
  </region>
  <region id="8" left="486" top="468" width="67" height="29" color="#000000" bgColor="#ffffff">
    <picture>
      <raw format="png" encoding="base64">iVBORw0KGgoAAAANSUhEUgAAADsAAAAVCAYAAAD4g5b1AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAC5SURBVFhH5ZRRCoQwDAUX8f4nlu2iEJDHGND2hcUOzI+amgHx0ybiiN2+W5nrsuJ1h0pZ7B4Z0n2Hij32HPnaWIoM6XmHyvBYilNpzqEyLJairqR5h0p3LMW4pPdnKo9jaRm3tEemcjuWlqiS9slUjlg6+A0qjz5jOrhC2iVT6fpB0UJOaYdMpSs2pMUy6QyHypDYkMJImnWoDI0NKfAszThULLEhhe7G/WqsseFUseFfxM7CRLGt/QDEBged7UtWcwAAAABJRU5ErkJggg==</raw>
    </picture>
  </region>
  <region id="9" left="9" top="495" width="354" height="54" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">xy</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="operand">5</e>
        <e type="operand">7</e>
        <e type="operand">10</e>
        <e type="operand">109</e>
        <e type="operand">109</e>
        <e type="operand">109</e>
        <e type="operand">109</e>
        <e type="operand">149</e>
        <e type="operand">149</e>
        <e type="operand">191</e>
        <e type="operand">213</e>
        <e type="operand">224</e>
        <e type="operand">2</e>
        <e type="operand">9</e>
        <e type="function" preserve="true" args="20">mat</e>
        <e type="function" preserve="true" args="1">transpose</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="10" left="387" top="504" width="166" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Right" lang="eng">
        <p>balistic controlby sub [1, 2, 3, 4]</p>
      </description>
      <input>
        <e type="operand">xy</e>
        <e type="operand">xy</e>
        <e type="operand">sub</e>
        <e type="operand">9</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="11" left="9" top="558" width="218" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="1">appVersion</e>
        <e type="operand" style="string">0.98.6179</e>
        <e type="operator" args="2">≡</e>
      </input>
    </math>
  </region>
  <region id="12" left="9" top="594" width="262" height="52" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">X</e>
        <e type="operand">xy</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="operator" args="2">:</e>
        <e type="operand">Y</e>
        <e type="operand">xy</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="operator" args="2">:</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">mat</e>
        <e type="operand">data</e>
        <e type="operand">xy</e>
        <e type="operand" style="string">.</e>
        <e type="operand">14</e>
        <e type="operand" style="string">red</e>
        <e type="function" args="4">plot</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>
      </input>
    </math>
  </region>
  <region id="13" left="531" top="603" width="112" height="117" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">xy</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
        <e type="operand">109</e>
        <e type="operand">2</e>
        <e type="operand">149</e>
        <e type="operand">3</e>
        <e type="operand">149</e>
        <e type="operand">5</e>
        <e type="operand">191</e>
        <e type="operand">7</e>
        <e type="operand">213</e>
        <e type="operand">10</e>
        <e type="operand">224</e>
        <e type="operand">6</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="14">mat</e>
      </result>
    </math>
  </region>
  <region id="14" left="9" top="657" width="43" height="24" color="#000000" bgColor="#ffffcc" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">n</e>
        <e type="operand">3</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="15" left="90" top="657" width="67" height="29" color="#000000" bgColor="#ffffff">
    <picture>
      <raw format="png" encoding="base64">iVBORw0KGgoAAAANSUhEUgAAADsAAAAVCAYAAAD4g5b1AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAC5SURBVFhH5ZRRCoQwDAUX8f4nlu2iEJDHGND2hcUOzI+amgHx0ybiiN2+W5nrsuJ1h0pZ7B4Z0n2Hij32HPnaWIoM6XmHyvBYilNpzqEyLJairqR5h0p3LMW4pPdnKo9jaRm3tEemcjuWlqiS9slUjlg6+A0qjz5jOrhC2iVT6fpB0UJOaYdMpSs2pMUy6QyHypDYkMJImnWoDI0NKfAszThULLEhhe7G/WqsseFUseFfxM7CRLGt/QDEBged7UtWcwAAAABJRU5ErkJggg==</raw>
    </picture>
  </region>
  <region id="16" left="90" top="657" width="67" height="29" color="#000000" bgColor="#ffffff">
    <picture>
      <raw format="png" encoding="base64">iVBORw0KGgoAAAANSUhEUgAAADsAAAAVCAYAAAD4g5b1AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAC5SURBVFhH5ZRRCoQwDAUX8f4nlu2iEJDHGND2hcUOzI+amgHx0ybiiN2+W5nrsuJ1h0pZ7B4Z0n2Hij32HPnaWIoM6XmHyvBYilNpzqEyLJairqR5h0p3LMW4pPdnKo9jaRm3tEemcjuWlqiS9slUjlg6+A0qjz5jOrhC2iVT6fpB0UJOaYdMpSs2pMUy6QyHypDYkMJImnWoDI0NKfAszThULLEhhe7G/WqsseFUseFfxM7CRLGt/QDEBged7UtWcwAAAABJRU5ErkJggg==</raw>
    </picture>
  </region>
  <region id="17" left="9" top="693" width="185" height="63" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math>
      <input>
        <e type="operand">c</e>
        <e type="operand">x</e>
        <e type="function" args="2">f</e>
        <e type="operand">c</e>
        <e type="operand">k</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</e>
        <e type="operand">k</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">k</e>
        <e type="operand">1</e>
        <e type="operand">n</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="4">sum</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="18" left="9" top="756" width="408" height="40" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math>
      <description active="true" position="Right" lang="eng">
        <p>clean export wrt x^</p>
      </description>
      <input>
        <e type="operand">c</e>
        <e type="operand">x</e>
        <e type="function" args="2">f</e>
      </input>
      <result action="none">
        <e type="operand">c</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</e>
        <e type="operand">1</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">c</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</e>
        <e type="operand">2</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="operator" args="2">+</e>
        <e type="operand">c</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</e>
        <e type="operand">3</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="operator" args="2">+</e>
        <e type="operand">c</e>
        <e type="operand">4</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</e>
        <e type="operand">4</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="operator" args="2">+</e>
      </result>
    </math>
  </region>
  <region id="19" left="9" top="810" width="254" height="81" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">c</e>
        <e type="operand">X</e>
        <e type="operand">Y</e>
        <e type="operand">n</e>
        <e type="function" args="3">PolyFit</e>
        <e type="operator" args="2">:</e>
      </input>
      <result action="numeric">
        <e type="operand">86.4292</e>
        <e type="operand">28.4694</e>
        <e type="operand">1.592</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.0123</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">mat</e>
      </result>
    </math>
  </region>
  <region id="20" left="279" top="900" width="350" height="225" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="0.0758061315631363" scale_y="2.02797261145169" scale_z="0.0754134772176061" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-135" transpose_y="-89" transpose_z="0">
      <description active="true" position="Top" lang="eng">
        <p>alternate plots ... f(c,x) ... PolyVal(c,x)</p>
      </description>
      <input>
        <e type="operand">c</e>
        <e type="operand">x</e>
        <e type="function" args="2">f</e>
        <e type="operand">data</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
      </input>
    </plot>
  </region>
  <region id="21" left="9" top="909" width="215" height="117" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">c</e>
        <e type="operand">X</e>
        <e type="function" args="2">PolyVal</e>
      </input>
      <result action="numeric">
        <e type="operand">113.319</e>
        <e type="operand">137.099</e>
        <e type="operand">157.8432</e>
        <e type="operand">190.5206</e>
        <e type="operand">211.944</e>
        <e type="operand">224.2743</e>
        <e type="operand">6</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="8">mat</e>
      </result>
    </math>
  </region>
  <region id="22" left="9" top="1098" width="262" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">Y</e>
        <e type="operand">c</e>
        <e type="operand">X</e>
        <e type="function" args="2">PolyVal</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="1">normi</e>
      </input>
      <result action="numeric">
        <e type="operand">11.901</e>
      </result>
    </math>
  </region>
</regions>