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          <content>
            <p style="font-weight: bold;">Maple spline function<br />(deprecated)</p>
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          <content>
            <p>https://www.maplesoft.com/support/help/Maple/view.aspx?path=spline(deprecated)&amp;cid=1442</p>
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        <math>
          <description active="true" position="Top" lang="eng">
            <content>
              <p>Utility for call maple' spline function and convert it's piecewise() ans into cases()</p>
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            <e type="operand">Y#</e>
            <e type="operand">t#</e>
            <e type="operand">d#</e>
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            <e type="function" args="3">concat</e>
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            <e type="operand">b#</e>
            <e type="operand">Y#</e>
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            <e type="function" args="1">num2str</e>
            <e type="operand" style="string">,</e>
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            <e type="operand">a#</e>
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            <e type="operand">a#</e>
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            <e type="function" args="3">substr</e>
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            <e type="operand">b#</e>
            <e type="operand">1</e>
            <e type="operand">b#</e>
            <e type="function" args="1">strlen</e>
            <e type="operand">1</e>
            <e type="operator" args="2">-</e>
            <e type="function" args="3">substr</e>
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            <e type="operand">C#</e>
            <e type="operand">a#</e>
            <e type="operand">b#</e>
            <e type="operand" style="string">],_t_,</e>
            <e type="operand">d#</e>
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            <e type="operand" style="string">)</e>
            <e type="function" args="5">concat</e>
            <e type="operator" args="2">:</e>
            <e type="operand">C#</e>
            <e type="operand" style="string">maple(</e>
            <e type="operand">C#</e>
            <e type="operand" style="string">)</e>
            <e type="function" args="3">concat</e>
            <e type="function" args="1">str2num</e>
            <e type="function" args="1">num2str</e>
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            <e type="operand">C#</e>
            <e type="operand">C#</e>
            <e type="operand">11</e>
            <e type="operand">C#</e>
            <e type="function" args="1">strlen</e>
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            <e type="operand">k#</e>
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            <e type="operand">c#</e>
            <e type="operand">C#</e>
            <e type="operand">k#</e>
            <e type="operand">1</e>
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            <e type="function" args="2">el</e>
            <e type="operand" style="string">,</e>
            <e type="operand">C#</e>
            <e type="operand">k#</e>
            <e type="function" args="2">el</e>
            <e type="operand" style="string">,</e>
            <e type="function" args="5">concat</e>
            <e type="operator" args="2">:</e>
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            <e type="operand">_t_</e>
            <e type="operand">t#</e>
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            <e type="operand">c#</e>
            <e type="operand">C#</e>
            <e type="operand">C#</e>
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            <e type="function" args="1">str2num</e>
            <e type="operand">10</e>
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            <p style="font-weight: bold;">Values</p>
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          <input>
            <e type="operand">X</e>
            <e type="operand">1</e>
            <e type="operand">2</e>
            <e type="operand">3</e>
            <e type="operand">4</e>
            <e type="operand">5</e>
            <e type="operand">5</e>
            <e type="operand">1</e>
            <e type="function" args="7">mat</e>
            <e type="operator" args="2">:</e>
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        <math>
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            <e type="operand">Y</e>
            <e type="operand">2</e>
            <e type="operand">3</e>
            <e type="operand">5</e>
            <e type="operand">8</e>
            <e type="operand">9</e>
            <e type="operand">5</e>
            <e type="operand">1</e>
            <e type="function" args="7">mat</e>
            <e type="operator" args="2">:</e>
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        <math>
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            <e type="operand">xo</e>
            <e type="operand">3.5</e>
            <e type="operator" args="2">:</e>
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          <content>
            <p style="font-weight: bold;">Numerically</p>
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      <region left="36" top="603" width="247" height="26" color="#000000" fontSize="10">
        <math>
          <input>
            <e type="operand">X</e>
            <e type="operand">Y</e>
            <e type="operand">xo</e>
            <e type="operand">linear</e>
            <e type="function" args="4">mspline</e>
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            <e type="operand">6.5</e>
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            <e type="operand">X</e>
            <e type="operand">Y</e>
            <e type="operand">xo</e>
            <e type="operand">quadratic</e>
            <e type="function" args="4">mspline</e>
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          <result action="numeric">
            <e type="operand">6.25</e>
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            <e type="operand">X</e>
            <e type="operand">Y</e>
            <e type="operand">xo</e>
            <e type="operand">cubic</e>
            <e type="function" args="4">mspline</e>
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          <result action="numeric">
            <e type="operand">6.5871</e>
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            <e type="operand">X</e>
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            <e type="operand">xo</e>
            <e type="operand">quartic</e>
            <e type="function" args="4">mspline</e>
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          <result action="numeric">
            <e type="operand">6.5041</e>
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        <math>
          <input>
            <e type="operand">X</e>
            <e type="operand">Y</e>
            <e type="operand">xo</e>
            <e type="function" args="3">lspline</e>
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            <e type="operand">6.5871</e>
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            <p style="font-weight: bold;">Symbolically</p>
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      <region left="441" top="711" width="205" height="154" color="#000000" fontSize="10">
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            <e type="operand">X</e>
            <e type="operand">Y</e>
            <e type="function" args="2">lspline</e>
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            <e type="operand">0</e>
            <e type="operand">3</e>
            <e type="operand">0</e>
            <e type="operand">0</e>
            <e type="operand">0.9643</e>
            <e type="operand">2.1429</e>
            <e type="operand">3.5357</e>
            <e type="operator" args="1">-</e>
            <e type="operand">0</e>
            <e type="operand">8</e>
            <e type="operand">1</e>
            <e type="function" args="10">mat</e>
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        </math>
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      <region left="36" top="747" width="378" height="81" color="#000000" fontSize="10">
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          <input>
            <e type="operand">X</e>
            <e type="operand">Y</e>
            <e type="operand">t</e>
            <e type="operand">linear</e>
            <e type="function" args="4">mspline</e>
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            <e type="operand">1</e>
            <e type="operand">t</e>
            <e type="operator" args="2">+</e>
            <e type="operand">t</e>
            <e type="operand">2</e>
            <e type="operator" args="2">&lt;</e>
            <e type="operand">1</e>
            <e type="operator" args="1">-</e>
            <e type="operand">2</e>
            <e type="operand">t</e>
            <e type="operator" args="2">*</e>
            <e type="operator" args="2">+</e>
            <e type="operand">t</e>
            <e type="operand">3</e>
            <e type="operator" args="2">&lt;</e>
            <e type="operand">4</e>
            <e type="operator" args="1">-</e>
            <e type="operand">3</e>
            <e type="operand">t</e>
            <e type="operator" args="2">*</e>
            <e type="operator" args="2">+</e>
            <e type="operand">t</e>
            <e type="operand">4</e>
            <e type="operator" args="2">&lt;</e>
            <e type="operand">4</e>
            <e type="operand">t</e>
            <e type="operator" args="2">+</e>
            <e type="function" args="7">cases</e>
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        <math>
          <input>
            <e type="operand">X</e>
            <e type="operand">Y</e>
            <e type="operand">t</e>
            <e type="operand">cubic</e>
            <e type="function" args="4">mspline</e>
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            <e type="operand">37</e>
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            <e type="operand">9</e>
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            <e type="operand">2</e>
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            <e type="operand">t</e>
            <e type="operator" args="2">+</e>
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            <e type="operator" args="2">*</e>
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            <e type="operand">56</e>
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            <e type="operand">2</e>
            <e type="operator" args="2">&lt;</e>
            <e type="operand">2</e>
            <e type="operand">20</e>
            <e type="operand">49</e>
            <e type="operand">t</e>
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            <e type="operand">2</e>
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            <e type="operand">39</e>
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            <e type="operand">11</e>
            <e type="operand">t</e>
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            <e type="bracket">(</e>
            <e type="operator" args="2">*</e>
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            <e type="operand">56</e>
            <e type="operator" args="2">/</e>
            <e type="operand">t</e>
            <e type="operand">3</e>
            <e type="operator" args="2">&lt;</e>
            <e type="operand">2</e>
            <e type="operand">884</e>
            <e type="operand">815</e>
            <e type="operand">t</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="operand">t</e>
            <e type="operand">2</e>
            <e type="operator" args="2">^</e>
            <e type="operand">537</e>
            <e type="operand">53</e>
            <e type="operand">t</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="2">+</e>
            <e type="operand">56</e>
            <e type="operator" args="2">/</e>
            <e type="operand">t</e>
            <e type="operand">4</e>
            <e type="operator" args="2">&lt;</e>
            <e type="operand">2</e>
            <e type="operand">1868</e>
            <e type="operator" args="1">-</e>
            <e type="operand">1249</e>
            <e type="operand">t</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="operand">33</e>
            <e type="operand">t</e>
            <e type="operand">2</e>
            <e type="operator" args="2">^</e>
            <e type="operator" args="2">*</e>
            <e type="operand">15</e>
            <e type="operator" args="1">-</e>
            <e type="operand">t</e>
            <e type="operator" args="2">+</e>
            <e type="bracket">(</e>
            <e type="operator" args="2">*</e>
            <e type="operator" args="2">+</e>
            <e type="operand">56</e>
            <e type="operator" args="2">/</e>
            <e type="function" args="7">cases</e>
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          <content>
            <p style="font-weight: bold;">Graphically</p>
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      <region left="135" top="1107" width="390" height="198" color="#000000" fontSize="8">
        <plot type="2d" render="lines" scale_x="1.04067060911596" scale_y="4.23998694420075" scale_z="1.87130096766218" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-120" transpose_y="-46" transpose_z="0">
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            <e type="operand">X</e>
            <e type="operand">Y</e>
            <e type="operand">x</e>
            <e type="operand">1</e>
            <e type="function" args="4">mspline</e>
            <e type="operand">X</e>
            <e type="operand">Y</e>
            <e type="operand">x</e>
            <e type="operand">2</e>
            <e type="function" args="4">mspline</e>
            <e type="operand">X</e>
            <e type="operand">Y</e>
            <e type="operand">x</e>
            <e type="operand">3</e>
            <e type="function" args="4">mspline</e>
            <e type="operand">X</e>
            <e type="operand">Y</e>
            <e type="operand">x</e>
            <e type="operand">4</e>
            <e type="function" args="4">mspline</e>
            <e type="operand">X</e>
            <e type="operand">Y</e>
            <e type="operand" style="string">o</e>
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