﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio Desktop" version="0.98.6179.21440"?>
<regions>
  <settings>
    <identity>
      <id>c5cff0a0-4c05-4054-9e65-d13a14441777</id>
      <revision>12</revision>
    </identity>
    <calculation>
      <precision>3</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="Writer Region" version="0.8.6150.16713" guid="5922d677-323f-4327-8c68-be902d8339ad" />
      <assembly name="Plot Region" version="1.9.6179.21450" guid="c451c2b5-798b-4f08-b9ec-b90963d1ddaa" />
    </dependencies>
    <mode debug="true" />
  </settings>
  <region id="0" left="18" top="18" width="496" height="96" border="true" color="#000000" bgColor="#ffffe1">
    <writer lang="eng"><![CDATA[<span style="font-family: 'Arial'; font-size: 10pt; font-weight: normal; font-style: normal; color: Black; background-color: Transparent; text-align: left; line-height: 115%">
<div><span style="font-family: 'Times New Roman'"><span style="font-size: 14pt"><strong><span style="color: Teal">Explain the project</span></strong></span></span></div>
<div><span style="font-family: 'Times New Roman'"><span style="font-size: 12pt">This data set is a test set for the &quot;Spline2XV6&quot; proposed by Mathsoft</span></span></div>
<div><span style="font-family: 'Times New Roman'"><span style="font-size: 12pt">Before passing to Spline2XV6 we add noise and pass to Spline2XV6 </span></span></div>
<div><span style="font-family: 'Times New Roman'"><span style="font-size: 12pt">Spline2XV6  renders the noisy test set exeptionally well ! ~ 1/1 peak(x) .</span></span></div></span>]]></writer>
  </region>
  <region id="1" top="126" color="#000000" bgColor="#ffffff">
    <area collapsed="true">
      <title lang="eng">
        <p>     Stem(data)     </p>
      </title>
    </area>
    <region id="2" left="9" top="162" width="440" height="279" border="true" color="#000000" bgColor="#ffffe1" fontSize="10">
      <math optimize="2" decimalPlaces="6">
        <description active="true" position="Top" lang="eng">
          <p>Error stem plot for QuickPlot unicolor</p>
        </description>
        <input>
          <e type="operand">data</e>
          <e type="function" args="1">Stem</e>
          <e type="operand">stemX</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="operator" args="2">:</e>
          <e type="operand">i</e>
          <e type="operand">1</e>
          <e type="operand">stemX</e>
          <e type="function" preserve="true" args="1">rows</e>
          <e type="function" preserve="true" args="2">range</e>
          <e type="operand">stem</e>
          <e type="operand">i</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">data</e>
          <e type="operand">i</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="3">el</e>
          <e type="operand">data</e>
          <e type="operand">i</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="3">el</e>
          <e type="operand">data</e>
          <e type="operand">i</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="3">el</e>
          <e type="operand">0</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>
          <e type="operand" style="string" />
          <e type="operand">i</e>
          <e type="operand">1</e>
          <e type="operand">stem</e>
          <e type="function" preserve="true" args="1">rows</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">stem</e>
          <e type="operand">i</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">stem</e>
          <e type="operand">i</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">stem</e>
          <e type="operand">i</e>
          <e type="operand">1</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="3">el</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">0</e>
          <e type="operand">1</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="4">mat</e>
          <e type="function" preserve="true" args="2">stack</e>
          <e type="operator" args="2">:</e>
          <e type="function" preserve="true" args="3">for</e>
          <e type="operand">V</e>
          <e type="operand">stem</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operator" args="2">:</e>
          <e type="operand">j</e>
          <e type="operand">2</e>
          <e type="operand">stem</e>
          <e type="function" preserve="true" args="1">rows</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">V</e>
          <e type="operand">V</e>
          <e type="operand">stem</e>
          <e type="operand">j</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="function" preserve="true" args="2">stack</e>
          <e type="operator" args="2">:</e>
          <e type="function" preserve="true" args="3">for</e>
          <e type="operand">V</e>
          <e type="operand">V</e>
          <e type="operand">data</e>
          <e type="operand">data</e>
          <e type="function" preserve="true" args="1">rows</e>
          <e type="function" preserve="true" args="2">row</e>
          <e type="function" preserve="true" args="2">stack</e>
          <e type="operator" args="2">:</e>
          <e type="operand">7</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="9">line</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="3" left="450" top="189" width="324" height="163" border="true" color="#000000" bgColor="#ffffe1" fontSize="10">
      <math optimize="2" fractionType="fraction" decimalPlaces="6">
        <input>
          <e type="operand">data</e>
          <e type="operand">spec</e>
          <e type="function" args="2">pts</e>
          <e type="operand">i</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">p</e>
          <e type="operand">i</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="operand">c</e>
          <e type="function" args="3">spec</e>
          <e type="operator" args="2">:</e>
          <e type="function" preserve="true" args="3">for</e>
          <e type="operand">v</e>
          <e type="operand">p</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="operator" args="2">:</e>
          <e type="operand" style="string">Unest 'p' </e>
          <e type="operand">j</e>
          <e type="operand">2</e>
          <e type="operand">p</e>
          <e type="function" preserve="true" args="1">rows</e>
          <e type="function" preserve="true" args="2">range</e>
          <e type="operand">v</e>
          <e type="operand">v</e>
          <e type="operand">p</e>
          <e type="operand">j</e>
          <e type="function" preserve="true" args="2">el</e>
          <e type="function" preserve="true" args="2">stack</e>
          <e type="operator" args="2">:</e>
          <e type="function" preserve="true" args="3">for</e>
          <e type="operand">data</e>
          <e type="operand">v</e>
          <e type="function" preserve="true" args="2">augment</e>
          <e type="operand">5</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="7">line</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="4" left="9" top="486" width="523" height="76" border="true" color="#000000" bgColor="#ebebeb" fontSize="10">
      <math optimize="2" fractionType="auto">
        <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="5" top="576" color="#000000" bgColor="#ffffff">
      <area terminator="true" />
    </region>
  </region>
  <region id="6" left="9" top="612" width="177" height="207" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="4">
      <input>
        <e type="operand">XYZ</e>
        <e type="operand">4</e>
        <e type="operand">0.1</e>
        <e type="operand">0.005</e>
        <e type="operand">5</e>
        <e type="operand">0.13</e>
        <e type="operand">0.005</e>
        <e type="operand">3</e>
        <e type="operand">0.15</e>
        <e type="operand">0.006</e>
        <e type="operand">4</e>
        <e type="operand">0.23</e>
        <e type="operand">0.01</e>
        <e type="operand">5</e>
        <e type="operand">0.25</e>
        <e type="operand">0.01</e>
        <e type="operand">4.2</e>
        <e type="operand">0.4</e>
        <e type="operand">0.03</e>
        <e type="operand">2.1</e>
        <e type="operand">0.44</e>
        <e type="operand">0.01</e>
        <e type="operand">4.3</e>
        <e type="operand">0.65</e>
        <e type="operand">0.01</e>
        <e type="operand">3.1</e>
        <e type="operand">0.76</e>
        <e type="operand">0.005</e>
        <e type="operand">5.1</e>
        <e type="operand">0.78</e>
        <e type="operand">0.008</e>
        <e type="operand">4.2</e>
        <e type="operand">0.81</e>
        <e type="operand">0.005</e>
        <e type="operand">11</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="35">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="7" left="189" top="612" width="365" height="29" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">X</e>
        <e type="operand">XYZ</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">XYZ</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="operator" args="2">:</e>
        <e type="operand">Z</e>
        <e type="operand">XYZ</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">col</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>
      </input>
    </math>
  </region>
  <region id="8" left="189" top="648" width="214" height="97" border="true" color="#000000" bgColor="#ffffe1" fontSize="10">
    <math optimize="2" decimalPlaces="4">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">peak</e>
        <e type="operand">X</e>
        <e type="operand">j</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">1</e>
        <e type="operand">x</e>
        <e type="operand">Y</e>
        <e type="operand">j</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">-</e>
        <e type="function" preserve="true" args="1">abs</e>
        <e type="operand">Z</e>
        <e type="operand">j</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">4</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">/</e>
        <e type="operand">j</e>
        <e type="operand">1</e>
        <e type="operand">11</e>
        <e type="function" preserve="true" args="4">sum</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="9" left="423" top="648" width="78" height="40" color="#000000" bgColor="#ffe1e1" fontSize="10">
    <text lang="eng">
      <p bold="true">observerλ=&gt; 0/1</p>
    </text>
  </region>
  <region id="10" left="531" top="648" width="230" height="104" border="true" color="#000000" bgColor="#ffffe1" fontSize="10">
    <math optimize="2" decimalPlaces="4">
      <input>
        <e type="operand">xy</e>
        <e type="operand">i</e>
        <e type="operand">50</e>
        <e type="operand">850</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">x</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">0.001</e>
        <e type="operand">i</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
        <e type="operand">y</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="function" args="1">peak</e>
        <e type="function" preserve="true" args="1">eval</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="operand">x</e>
        <e type="operand">y</e>
        <e type="function" preserve="true" args="2">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="11" left="450" top="684" width="32" height="43" color="#000000" bgColor="#ffffff">
    <picture>
      <raw format="png" encoding="base64">iVBORw0KGgoAAAANSUhEUgAAABgAAAAjCAYAAACOysqWAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADgSURBVEhL7ZFLDoMwDAVRxUkqTlZxLNSToZ4EQTWoH0Mcx4Gwy2K6ATNv1Kadp8Xk1tpoN4Iq0G8EVaDfCKpAvxFcL+junX5YiGZ4DuqDIlDAzxUV/aP/C1aUl07x+e5PULLiu34jKPlfjK8xFECJCrkeNoISFXI9bARwpmK/HgLBmYr9eggEcKRCWw+q4EiFth5UAeRUxNZDVJBTEVsPUQF4Kqz1YAo8FdZ6MAVgVaTWQ1JgVaTWQ1IAWoVnPbgEWoVnPbgEICu868EtkBXe9eAWABU56yFLQEXO+naeljeOnwVKRFNzTwAAAABJRU5ErkJggg==</raw>
    </picture>
  </region>
  <region id="12" left="441" top="720" width="49" height="28" color="#000000" bgColor="#ffe1e1" fontSize="12">
    <math>
      <input>
        <e type="operand">λ</e>
        <e type="operand">1</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="13" left="531" top="756" width="224" height="75" border="true" color="#000000" bgColor="#ffffe1">
    <writer lang="eng"><![CDATA[<span style="font-family: 'Arial'; font-size: 10pt; font-weight: normal; font-style: normal; color: Black; background-color: Transparent; text-align: left; line-height: 115%">
<div><span style="font-family: 'Times New Roman'"><span style="font-size: 14pt"><strong><span style="color: Blue">λ <span style="text-decoration: underline">observer</span> . . .</span></strong></span></span></div>
<div><span style="font-family: 'Times New Roman'"><span style="font-size: 12pt"><strong>λ = 0</strong>    plots the blue trace 'xy'</span></span></div>
<div><span style="font-family: 'Times New Roman'"><span style="font-size: 12pt"><strong>λ = 1</strong>    blinds blue 'xy', only pts</span></span></div></span>]]></writer>
  </region>
  <region id="14" left="189" top="765" width="288" height="49" border="true" color="#000000" bgColor="#ffffe1" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">data</e>
        <e type="operand">Y</e>
        <e type="operand">X</e>
        <e type="function" preserve="true" args="2">augment</e>
        <e type="operator" args="2">:</e>
        <e type="operand">pts</e>
        <e type="operand">λ</e>
        <e type="operand">xy</e>
        <e type="operator" args="2">*</e>
        <e type="operand" style="string">.</e>
        <e type="operand">10</e>
        <e type="operand" style="string">black</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">sys</e>
      </input>
    </math>
  </region>
  <region id="15" left="9" top="828" width="760" height="238" color="#000000" bgColor="#ffffff" fontSize="10" showInputData="False">
    <plot type="2d" render="lines" scale_x="1.98761595648381" scale_y="41.5464187650925" scale_z="82.5783248722558" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-351" transpose_y="-92" transpose_z="0">
      <input>
        <e type="operand">λ</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">xy</e>
        <e type="operand">0</e>
        <e type="function" preserve="true" args="3">if</e>
        <e type="operand">data</e>
        <e type="function" args="1">Stem</e>
        <e type="operand">pts</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
      </input>
    </plot>
  </region>
</regions>