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+
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left(
x-x_i
right)
}
over
{dx^j}
=
{d^j y} over {dx^j} \rline_i 
+
{d^(j+1) y} over {dx^(j+1)} \rline_i 
left(
x-x_i
right)
+
{d^(j+2) y} over {dx^(j+2)} \rline_i 
{left(
x-x_i
right)^2}
over
{2!}
+
dotsaxis 
+
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left(
x-x_i
right)
}
over
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=
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+
{d^p y} over {dx^p} \rline_i 
left(
x-x_i
right)</annotation>
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   <text:h text:style-name="Heading_20_2" text:outline-level="2">Unknowns</text:h>
   <text:p text:style-name="equation">The unknowns are </text:p>
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~~~~~
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   <text:p text:style-name="equation">There are<draw:frame draw:style-name="fr1" draw:name="Object9" text:anchor-type="as-char" svg:width="0.2543in" svg:height="0.1902in" draw:z-index="9"><draw:object>
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    </draw:frame>unknowns.</text:p>
   <text:h text:style-name="Heading_20_2" text:outline-level="2">Constraints</text:h>
   <text:h text:style-name="Heading_20_3" text:outline-level="3">Open curve</text:h>
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=
y_i
+
{dy} over {dx} \rline_i 
left(
x_{i+1}-x_i
right)
+
{d^2 y} over {dx^2} \rline_i 
{left(
x_{i+1}-x_i
right)^2}
over
{2!}
+
dotsaxis 
+
{d^p y} over {dx^p} \rline_i 
{left(
x_{i+1}-x_i
right)^p}
over
{p!}
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over
{dx} \rline_{i+1}
=
{dy} over {dx} \rline_i 
+
{d^2 y} over {dx^2} \rline_i 
left(
x_{i+1}-x_i
right)
+
{d^3 y} over {dx^3} \rline_i 
{left(
x_{i+1}-x_i
right)^2}
over
{2!}
+
dotsaxis 
+
{d^p y} over {dx^p} \rline_i 
{left(
x_{i+1}-x_i
right)^{p-1}}
over
{left(p-1 right)!}
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over
{2!}
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dotsaxis 
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   <text:p text:style-name="equation">There are<draw:frame draw:style-name="fr1" draw:name="Object15" text:anchor-type="as-char" svg:width="0.6319in" svg:height="0.1925in" draw:z-index="15"><draw:object>
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       <semantics>
        <mrow>
         <mrow>
          <mo fence="true" form="prefix" stretchy="false">(</mo>
          <mrow>
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          </mrow>
          <mo fence="true" form="postfix" stretchy="false">)</mo>
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         <mi>p</mi>
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       <semantics>
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     </draw:object><draw:image>
      <office:binary-data>VkNMTVRGAQAxAAAAAAAAAAEAGwAAAAAAAAAAAAAAAAABAAAAAQAAAAEAAAABAAAAAekBAADk
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       AAAAAAAApwEAAAAAAAAAAAUAAAAAAAIA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcA
       AQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAFwAAAJ8AAAByAQAAAQBw1AAAAAAA//8BAHAA
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     </draw:image>
    </draw:frame>more equations are needed.</text:p>
   <text:p text:style-name="equation">Note that<draw:frame draw:style-name="fr1" draw:name="Object17" text:anchor-type="as-char" svg:width="0.5035in" svg:height="0.4528in" draw:z-index="17"><draw:object>
      <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
       <semantics>
        <mrow>
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            <mi>d</mi>
            <mi>p</mi>
           </msup>
           <mi>y</mi>
          </mrow>
          <msup>
           <mi mathvariant="italic">dx</mi>
           <mi>p</mi>
          </msup>
         </mfrac>
         <msub>
          <mo stretchy="false">|</mo>
          <mi>n</mi>
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        </mrow>
        <annotation encoding="StarMath 5.0">{d^p y} over {dx^p} \rline_n </annotation>
       </semantics>
      </math>
     </draw:object><draw:image>
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       AAAAAAAFAAAAAAACAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8A
       hgABAAQAAAAAAAAAcgACABcAAADCAQAA7gAAAAEAcH8AAAAAAP//AQBwAIwAAQAAAAAAiwAB
       AAIAAAAfAIoAAQA7AAAAAwA1AAAACQBUaG9ybmRhbGUAAAAAAACnAQAAAAAAAAAABQAAAAAA
       AgD/AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAA
       AHIAAgAXAAAAsAIAAMIBAAABAHm6AAAAAAD//wEAeQCMAAEAAAAAAIsAAQACAAAAHwCFAAEA
       BQAAAAAAAAABhAABAAUAAAAAAAAAAIoAAQA8AAAAAwA2AAAACgBPcGVuU3ltYm9sAAAAAAAA
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       AAIAGgAAAO4AAAAiBAAAAgBkeI4BAAAAAP//AgBkAHgAjAABAAAAAACLAAEAAgAAAB8AigAB
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       AAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABcAAACw
       AgAATwMAAAEAcH8AAAAAAP//AQBwAIwAAQAAAAAAiwABAAIAAAAfAIoAAQA8AAAAAwA2AAAA
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       AQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABcAAAAiBAAAGgMAAAEAbn8AAAAAAP//
       AQBuAIwAAQAAAAAAlQABAAQAAAAAAAAAlgABAAIAAAAJAIwAAQAAAAAA
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     </draw:image>
    </draw:frame>is not used above and can be arbitrary.</text:p>
   <text:h text:style-name="Heading_20_4" text:outline-level="4">Extra Constraints</text:h>
   <text:p text:style-name="equation">When p is odd, set<draw:frame draw:style-name="fr1" draw:name="Object18" text:anchor-type="as-char" svg:width="0.7299in" svg:height="0.4528in" draw:z-index="18"><draw:object>
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       <semantics>
        <mrow>
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          <mrow>
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          <msup>
           <mi mathvariant="italic">dx</mi>
           <mi>p</mi>
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         </mfrac>
         <mrow>
          <msub>
           <mo stretchy="false">|</mo>
           <mi>n</mi>
          </msub>
          <mo stretchy="false">=</mo>
          <mn>0</mn>
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        </mrow>
        <annotation encoding="StarMath 5.0">{d^p y} over {dx^p} \rline_n = 0</annotation>
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      </math>
     </draw:object><draw:image>
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       BQAAAAAAAAABhAABAAUAAAAAAAAAAIoAAQA8AAAAAwA2AAAACgBPcGVuU3ltYm9sAAAAAAAA
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       ACMiXQAAAAAA//8BACMijAABAAAAAACLAAEAAgAAAB8AigABADsAAAADADUAAAAJAFRob3Ju
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       pwEAAP//AAAAAAUAAAAAAAAA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA
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       AAQAAAAAAAAAcgACABcAAAD/BQAAsAIAAAEAMNQAAAAAAP//AQAwAIwAAQAAAAAAlQABAAQA
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    </draw:frame>and subsequent lower derivatives at both ends equal to zero until p equations are found.</text:p>
   <text:p text:style-name="equation">When p is even set the highest derivatives at both ends equal to zero until p equations are found.</text:p>
   <text:h text:style-name="Heading_20_4" text:outline-level="4">System of Equations</text:h>
   <text:p text:style-name="equation"><draw:frame draw:style-name="fr1" draw:name="Object19" text:anchor-type="as-char" svg:width="6.6583in" svg:height="6.2783in" draw:z-index="19"><draw:object>
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             <mtd>
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             </mtd>
             <mtd>
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             </mtd>
             <mtd>
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             </mtd>
             <mtd>
              <mn>0</mn>
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             <mtd>
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             <mtd>
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             <mtd>
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             </mtd>
             <mtd>
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             </mtd>
             <mtd>
              <mn>0</mn>
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             <mtd>
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             <mtd>
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             <mtd>
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             </mtd>
             <mtd>
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             <mtd>
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             <mtd>
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             <mtd>
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             <mtd>
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             <mtd>
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             </mtd>
             <mtd>
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             <mtd>
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             <mtd>
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             </mtd>
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            <mtr>
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             <mtd>
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             <mtd>
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             <mtd>
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             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
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             </mtd>
             <mtd>
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             </mtd>
             <mtd>
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             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
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             <mtd>
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                <mn>1</mn>
                <mn>2</mn>
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                <mn>2</mn>
                <mi>!</mi>
               </mrow>
              </mfrac>
             </mtd>
             <mtd>
              <mfrac>
               <msubsup>
                <mi>h</mi>
                <mn>1</mn>
                <mn>3</mn>
               </msubsup>
               <mrow>
                <mn>3</mn>
                <mi>!</mi>
               </mrow>
              </mfrac>
             </mtd>
             <mtd>
              <mfrac>
               <msubsup>
                <mi>h</mi>
                <mn>1</mn>
                <mn>4</mn>
               </msubsup>
               <mrow>
                <mn>4</mn>
                <mi>!</mi>
               </mrow>
              </mfrac>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
            </mtr>
            <mtr>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>1</mn>
             </mtd>
             <mtd>
              <msub>
               <mi>h</mi>
               <mn>1</mn>
              </msub>
             </mtd>
             <mtd>
              <mfrac>
               <msubsup>
                <mi>h</mi>
                <mn>1</mn>
                <mn>2</mn>
               </msubsup>
               <mrow>
                <mn>2</mn>
                <mi>!</mi>
               </mrow>
              </mfrac>
             </mtd>
             <mtd>
              <mfrac>
               <msubsup>
                <mi>h</mi>
                <mn>1</mn>
                <mn>3</mn>
               </msubsup>
               <mrow>
                <mn>3</mn>
                <mi>!</mi>
               </mrow>
              </mfrac>
             </mtd>
             <mtd>
              <mrow>
               <mo stretchy="false">−</mo>
               <mn>1</mn>
              </mrow>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
            </mtr>
            <mtr>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>1</mn>
             </mtd>
             <mtd>
              <msub>
               <mi>h</mi>
               <mn>1</mn>
              </msub>
             </mtd>
             <mtd>
              <mfrac>
               <msubsup>
                <mi>h</mi>
                <mn>1</mn>
                <mn>2</mn>
               </msubsup>
               <mrow>
                <mn>2</mn>
                <mi>!</mi>
               </mrow>
              </mfrac>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mrow>
               <mo stretchy="false">−</mo>
               <mn>1</mn>
              </mrow>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
            </mtr>
            <mtr>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>1</mn>
             </mtd>
             <mtd>
              <msub>
               <mi>h</mi>
               <mn>1</mn>
              </msub>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mrow>
               <mo stretchy="false">−</mo>
               <mn>1</mn>
              </mrow>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
            </mtr>
            <mtr>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <msub>
               <mi>h</mi>
               <mn>1</mn>
              </msub>
             </mtd>
             <mtd>
              <mfrac>
               <msubsup>
                <mi>h</mi>
                <mn>1</mn>
                <mn>2</mn>
               </msubsup>
               <mrow>
                <mn>2</mn>
                <mi>!</mi>
               </mrow>
              </mfrac>
             </mtd>
             <mtd>
              <mfrac>
               <msubsup>
                <mi>h</mi>
                <mn>1</mn>
                <mn>3</mn>
               </msubsup>
               <mrow>
                <mn>3</mn>
                <mi>!</mi>
               </mrow>
              </mfrac>
             </mtd>
             <mtd>
              <mfrac>
               <msubsup>
                <mi>h</mi>
                <mn>1</mn>
                <mn>4</mn>
               </msubsup>
               <mrow>
                <mn>4</mn>
                <mi>!</mi>
               </mrow>
              </mfrac>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
            </mtr>
            <mtr>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>1</mn>
             </mtd>
             <mtd>
              <msub>
               <mi>h</mi>
               <mn>1</mn>
              </msub>
             </mtd>
             <mtd>
              <mfrac>
               <msubsup>
                <mi>h</mi>
                <mn>1</mn>
                <mn>2</mn>
               </msubsup>
               <mrow>
                <mn>2</mn>
                <mi>!</mi>
               </mrow>
              </mfrac>
             </mtd>
             <mtd>
              <mfrac>
               <msubsup>
                <mi>h</mi>
                <mn>1</mn>
                <mn>3</mn>
               </msubsup>
               <mrow>
                <mn>3</mn>
                <mi>!</mi>
               </mrow>
              </mfrac>
             </mtd>
             <mtd>
              <mrow>
               <mo stretchy="false">−</mo>
               <mn>1</mn>
              </mrow>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
            </mtr>
            <mtr>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>1</mn>
             </mtd>
             <mtd>
              <msub>
               <mi>h</mi>
               <mn>1</mn>
              </msub>
             </mtd>
             <mtd>
              <mfrac>
               <msubsup>
                <mi>h</mi>
                <mn>1</mn>
                <mn>2</mn>
               </msubsup>
               <mrow>
                <mn>2</mn>
                <mi>!</mi>
               </mrow>
              </mfrac>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mrow>
               <mo stretchy="false">−</mo>
               <mn>1</mn>
              </mrow>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
            </mtr>
            <mtr>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>1</mn>
             </mtd>
             <mtd>
              <msub>
               <mi>h</mi>
               <mn>1</mn>
              </msub>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mrow>
               <mo stretchy="false">−</mo>
               <mn>1</mn>
              </mrow>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
            </mtr>
            <mtr>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>1</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
            </mtr>
            <mtr>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>1</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
            </mtr>
            <mtr>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>1</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
            </mtr>
            <mtr>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>1</mn>
             </mtd>
            </mtr>
           </mtable>
          </mrow>
          <mo fence="true" form="postfix" stretchy="true">]</mo>
         </mrow>
         <mrow>
          <mrow>
           <mo fence="true" form="prefix" stretchy="true">{</mo>
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             <mtr>
              <mtd>
               <msubsup>
                <mi>y</mi>
                <mn>1</mn>
                <mn>1</mn>
               </msubsup>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <msubsup>
                <mi>y</mi>
                <mn>1</mn>
                <mn>2</mn>
               </msubsup>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <msubsup>
                <mi>y</mi>
                <mn>1</mn>
                <mn>3</mn>
               </msubsup>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <msubsup>
                <mi>y</mi>
                <mn>1</mn>
                <mn>4</mn>
               </msubsup>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <mo stretchy="false">⋯</mo>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <msubsup>
                <mi>y</mi>
                <mn>2</mn>
                <mn>1</mn>
               </msubsup>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <msubsup>
                <mi>y</mi>
                <mn>2</mn>
                <mn>2</mn>
               </msubsup>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <msubsup>
                <mi>y</mi>
                <mn>2</mn>
                <mn>3</mn>
               </msubsup>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <msubsup>
                <mi>y</mi>
                <mn>2</mn>
                <mn>4</mn>
               </msubsup>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <mo stretchy="false">⋯</mo>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <msubsup>
                <mi>y</mi>
                <mi>i</mi>
                <mn>1</mn>
               </msubsup>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <msubsup>
                <mi>y</mi>
                <mi>i</mi>
                <mn>2</mn>
               </msubsup>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <msubsup>
                <mi>y</mi>
                <mi>i</mi>
                <mn>3</mn>
               </msubsup>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <msubsup>
                <mi>y</mi>
                <mi>i</mi>
                <mn>4</mn>
               </msubsup>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <mo stretchy="false">⋯</mo>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <msubsup>
                <mi>y</mi>
                <mi>n</mi>
                <mn>1</mn>
               </msubsup>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <msubsup>
                <mi>y</mi>
                <mi>n</mi>
                <mn>2</mn>
               </msubsup>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <msubsup>
                <mi>y</mi>
                <mi>n</mi>
                <mn>3</mn>
               </msubsup>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <msubsup>
                <mi>y</mi>
                <mi>n</mi>
                <mn>4</mn>
               </msubsup>
              </mtd>
             </mtr>
            </mtable>
           </mrow>
           <mo fence="true" form="postfix" stretchy="true">}</mo>
          </mrow>
          <mo stretchy="false">=</mo>
          <mrow>
           <mo fence="true" form="prefix" stretchy="true">{</mo>
           <mrow>
            <mtable>
             <mtr>
              <mtd>
               <mrow>
                <msub>
                 <mi>y</mi>
                 <mn>2</mn>
                </msub>
                <mo stretchy="false">−</mo>
                <msub>
                 <mi>y</mi>
                 <mn>1</mn>
                </msub>
               </mrow>
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             </mtr>
             <mtr>
              <mtd>
               <mn>0</mn>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <mn>0</mn>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <mn>0</mn>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <mo stretchy="false">⋯</mo>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <mrow>
                <msub>
                 <mi>y</mi>
                 <mn>3</mn>
                </msub>
                <mo stretchy="false">−</mo>
                <msub>
                 <mi>y</mi>
                 <mn>2</mn>
                </msub>
               </mrow>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <mn>0</mn>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <mn>0</mn>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <mn>0</mn>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <mo stretchy="false">⋯</mo>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <mrow>
                <msub>
                 <mi>y</mi>
                 <mrow>
                  <mi>i</mi>
                  <mo stretchy="false">+</mo>
                  <mn>1</mn>
                 </mrow>
                </msub>
                <mo stretchy="false">−</mo>
                <msub>
                 <mi>y</mi>
                 <mi>i</mi>
                </msub>
               </mrow>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <mn>0</mn>
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   <text:p text:style-name="equation">The above matrix is ill-conditioned when<draw:frame draw:style-name="fr1" draw:name="Object26" text:anchor-type="as-char" svg:width="0.2016in" svg:height="0.2138in" draw:z-index="20"><draw:object>
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=
h_{i}
over
h_{max}</annotation>
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   <text:h text:style-name="Heading_20_4" text:outline-level="4">Normalized System of Equations</text:h>
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             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
            </mtr>
            <mtr>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>1</mn>
             </mtd>
             <mtd>
              <msub>
               <mi mathvariant="normal">ℏ</mi>
               <mn>1</mn>
              </msub>
             </mtd>
             <mtd>
              <mfrac>
               <msubsup>
                <mi mathvariant="normal">ℏ</mi>
                <mn>1</mn>
                <mn>2</mn>
               </msubsup>
               <mrow>
                <mn>2</mn>
                <mi>!</mi>
               </mrow>
              </mfrac>
             </mtd>
             <mtd>
              <mfrac>
               <msubsup>
                <mi mathvariant="normal">ℏ</mi>
                <mn>1</mn>
                <mn>3</mn>
               </msubsup>
               <mrow>
                <mn>3</mn>
                <mi>!</mi>
               </mrow>
              </mfrac>
             </mtd>
             <mtd>
              <mrow>
               <mo stretchy="false">−</mo>
               <mn>1</mn>
              </mrow>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
            </mtr>
            <mtr>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>1</mn>
             </mtd>
             <mtd>
              <msub>
               <mi mathvariant="normal">ℏ</mi>
               <mn>1</mn>
              </msub>
             </mtd>
             <mtd>
              <mfrac>
               <msubsup>
                <mi mathvariant="normal">ℏ</mi>
                <mn>1</mn>
                <mn>2</mn>
               </msubsup>
               <mrow>
                <mn>2</mn>
                <mi>!</mi>
               </mrow>
              </mfrac>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mrow>
               <mo stretchy="false">−</mo>
               <mn>1</mn>
              </mrow>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
            </mtr>
            <mtr>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>1</mn>
             </mtd>
             <mtd>
              <msub>
               <mi mathvariant="normal">ℏ</mi>
               <mn>1</mn>
              </msub>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mrow>
               <mo stretchy="false">−</mo>
               <mn>1</mn>
              </mrow>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
            </mtr>
            <mtr>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <msub>
               <mi mathvariant="normal">ℏ</mi>
               <mn>1</mn>
              </msub>
             </mtd>
             <mtd>
              <mfrac>
               <msubsup>
                <mi mathvariant="normal">ℏ</mi>
                <mn>1</mn>
                <mn>2</mn>
               </msubsup>
               <mrow>
                <mn>2</mn>
                <mi>!</mi>
               </mrow>
              </mfrac>
             </mtd>
             <mtd>
              <mfrac>
               <msubsup>
                <mi mathvariant="normal">ℏ</mi>
                <mn>1</mn>
                <mn>3</mn>
               </msubsup>
               <mrow>
                <mn>3</mn>
                <mi>!</mi>
               </mrow>
              </mfrac>
             </mtd>
             <mtd>
              <mfrac>
               <msubsup>
                <mi mathvariant="normal">ℏ</mi>
                <mn>1</mn>
                <mn>4</mn>
               </msubsup>
               <mrow>
                <mn>4</mn>
                <mi>!</mi>
               </mrow>
              </mfrac>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
            </mtr>
            <mtr>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>1</mn>
             </mtd>
             <mtd>
              <msub>
               <mi mathvariant="normal">ℏ</mi>
               <mn>1</mn>
              </msub>
             </mtd>
             <mtd>
              <mfrac>
               <msubsup>
                <mi mathvariant="normal">ℏ</mi>
                <mn>1</mn>
                <mn>2</mn>
               </msubsup>
               <mrow>
                <mn>2</mn>
                <mi>!</mi>
               </mrow>
              </mfrac>
             </mtd>
             <mtd>
              <mfrac>
               <msubsup>
                <mi mathvariant="normal">ℏ</mi>
                <mn>1</mn>
                <mn>3</mn>
               </msubsup>
               <mrow>
                <mn>3</mn>
                <mi>!</mi>
               </mrow>
              </mfrac>
             </mtd>
             <mtd>
              <mrow>
               <mo stretchy="false">−</mo>
               <mn>1</mn>
              </mrow>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
            </mtr>
            <mtr>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>1</mn>
             </mtd>
             <mtd>
              <msub>
               <mi mathvariant="normal">ℏ</mi>
               <mn>1</mn>
              </msub>
             </mtd>
             <mtd>
              <mfrac>
               <msubsup>
                <mi mathvariant="normal">ℏ</mi>
                <mn>1</mn>
                <mn>2</mn>
               </msubsup>
               <mrow>
                <mn>2</mn>
                <mi>!</mi>
               </mrow>
              </mfrac>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mrow>
               <mo stretchy="false">−</mo>
               <mn>1</mn>
              </mrow>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
            </mtr>
            <mtr>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>1</mn>
             </mtd>
             <mtd>
              <msub>
               <mi mathvariant="normal">ℏ</mi>
               <mn>1</mn>
              </msub>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mrow>
               <mo stretchy="false">−</mo>
               <mn>1</mn>
              </mrow>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
            </mtr>
            <mtr>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>1</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
            </mtr>
            <mtr>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>1</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
            </mtr>
            <mtr>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>1</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
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            <mtr>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>0</mn>
             </mtd>
             <mtd>
              <mn>1</mn>
             </mtd>
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         <mrow>
          <mrow>
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           <mrow>
            <mtable>
             <mtr>
              <mtd>
               <mrow>
                <msub>
                 <mi>h</mi>
                 <mi mathvariant="italic">max</mi>
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                <msubsup>
                 <mi>y</mi>
                 <mn>1</mn>
                 <mn>1</mn>
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              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <mrow>
                <msubsup>
                 <mi mathvariant="normal">ℏ</mi>
                 <mi mathvariant="italic">max</mi>
                 <mn>2</mn>
                </msubsup>
                <msubsup>
                 <mi>y</mi>
                 <mn>1</mn>
                 <mn>2</mn>
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               </mrow>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <mrow>
                <msubsup>
                 <mi mathvariant="normal">ℏ</mi>
                 <mi mathvariant="italic">max</mi>
                 <mn>3</mn>
                </msubsup>
                <msubsup>
                 <mi>y</mi>
                 <mn>1</mn>
                 <mn>3</mn>
                </msubsup>
               </mrow>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <mrow>
                <msubsup>
                 <mi mathvariant="normal">ℏ</mi>
                 <mi mathvariant="italic">max</mi>
                 <mn>4</mn>
                </msubsup>
                <msubsup>
                 <mi>y</mi>
                 <mn>1</mn>
                 <mn>4</mn>
                </msubsup>
               </mrow>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <mo stretchy="false">⋯</mo>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <mrow>
                <msub>
                 <mi>h</mi>
                 <mi mathvariant="italic">max</mi>
                </msub>
                <msubsup>
                 <mi>y</mi>
                 <mn>2</mn>
                 <mn>1</mn>
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               </mrow>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <mrow>
                <msubsup>
                 <mi mathvariant="normal">ℏ</mi>
                 <mi mathvariant="italic">max</mi>
                 <mn>2</mn>
                </msubsup>
                <msubsup>
                 <mi>y</mi>
                 <mn>2</mn>
                 <mn>2</mn>
                </msubsup>
               </mrow>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <mrow>
                <msubsup>
                 <mi mathvariant="normal">ℏ</mi>
                 <mi mathvariant="italic">max</mi>
                 <mn>3</mn>
                </msubsup>
                <msubsup>
                 <mi>y</mi>
                 <mn>2</mn>
                 <mn>3</mn>
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              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <mrow>
                <msubsup>
                 <mi mathvariant="normal">ℏ</mi>
                 <mi mathvariant="italic">max</mi>
                 <mn>4</mn>
                </msubsup>
                <msubsup>
                 <mi>y</mi>
                 <mn>2</mn>
                 <mn>4</mn>
                </msubsup>
               </mrow>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <mo stretchy="false">⋯</mo>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <mrow>
                <msub>
                 <mi>h</mi>
                 <mi mathvariant="italic">max</mi>
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                <msubsup>
                 <mi>y</mi>
                 <mi>i</mi>
                 <mn>1</mn>
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               </mrow>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <mrow>
                <msubsup>
                 <mi mathvariant="normal">ℏ</mi>
                 <mi mathvariant="italic">max</mi>
                 <mn>2</mn>
                </msubsup>
                <msubsup>
                 <mi>y</mi>
                 <mi>i</mi>
                 <mn>2</mn>
                </msubsup>
               </mrow>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <mrow>
                <msubsup>
                 <mi mathvariant="normal">ℏ</mi>
                 <mi mathvariant="italic">max</mi>
                 <mn>3</mn>
                </msubsup>
                <msubsup>
                 <mi>y</mi>
                 <mi>i</mi>
                 <mn>3</mn>
                </msubsup>
               </mrow>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <mrow>
                <msubsup>
                 <mi mathvariant="normal">ℏ</mi>
                 <mi mathvariant="italic">max</mi>
                 <mn>4</mn>
                </msubsup>
                <msubsup>
                 <mi>y</mi>
                 <mi>i</mi>
                 <mn>4</mn>
                </msubsup>
               </mrow>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <mo stretchy="false">⋯</mo>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <mrow>
                <msub>
                 <mi>h</mi>
                 <mi mathvariant="italic">max</mi>
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                <msubsup>
                 <mi>y</mi>
                 <mi>n</mi>
                 <mn>1</mn>
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               </mrow>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <mrow>
                <msubsup>
                 <mi mathvariant="normal">ℏ</mi>
                 <mi mathvariant="italic">max</mi>
                 <mn>2</mn>
                </msubsup>
                <msubsup>
                 <mi>y</mi>
                 <mi>n</mi>
                 <mn>2</mn>
                </msubsup>
               </mrow>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <mrow>
                <msubsup>
                 <mi mathvariant="normal">ℏ</mi>
                 <mi mathvariant="italic">max</mi>
                 <mn>3</mn>
                </msubsup>
                <msubsup>
                 <mi>y</mi>
                 <mi>n</mi>
                 <mn>3</mn>
                </msubsup>
               </mrow>
              </mtd>
             </mtr>
             <mtr>
              <mtd>
               <mrow>
                <msubsup>
                 <mi mathvariant="normal">ℏ</mi>
                 <mi mathvariant="italic">max</mi>
                 <mn>4</mn>
                </msubsup>
                <msubsup>
                 <mi>y</mi>
                 <mi>n</mi>
                 <mn>4</mn>
                </msubsup>
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             </mtr>
            </mtable>
           </mrow>
           <mo fence="true" form="postfix" stretchy="true">}</mo>
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          <mo stretchy="false">=</mo>
          <mrow>
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matrix
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right rbrace
=
left lbrace
matrix
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   <text:h text:style-name="Heading_20_3" text:outline-level="3">Closed Curve</text:h>
   <text:h text:style-name="Heading_20_4" text:outline-level="4">Given Condition</text:h>
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    </draw:frame>The matrix is singular when p is even. The reason might be that a cyclic curve is odd while the polynomial is even. Hence no solution.</text:p>
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     </draw:image>
    </draw:frame>This seems to work except when p=even and n=odd.</text:p>
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