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<span class="kw">let </span><font color="Maroon" title="c1">x</font>, <font color="Maroon" title="c2">y</font> be    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="numbers.html#K2" title="NUMBERS:func.2">COMPLEX</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">M</font> being   <a href="matrix_1.html#NM1" title="MATRIX_1:NM.1">Matrix</a> of <a href="numbers.html#K2" title="NUMBERS:func.2">COMPLEX</a>  st  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c2">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b1">M</font> &amp;  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="matrix_1.html#K1" title="MATRIX_1:func.1">width</a> <font color="Olive" title="b1">M</font> &amp;  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">x</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp;  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c2">y</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  holds <br/><span class="p1"><a href="complsp2.html#K8" title="COMPLSP2:func.8">|(</a><span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b1">M</font> <a href="matrixc1.html#K6" title="MATRIXC1:func.6">*</a> <font color="Maroon" title="c1">x</font></span>)</span>,<font color="Maroon" title="c2">y</font></span><a href="complsp2.html#K8" title="COMPLSP2:func.8">)|</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="matrixc1.html#K12" title="MATRIXC1:func.12">SumAll</a> <span class="p1">(<span class="default"><a href="matrixc1.html#K13" title="MATRIXC1:func.13">QuadraticForm</a> (<font color="Maroon" title="c1">x</font>,<span class="p2">(<span class="default"><font color="Olive" title="b1">M</font> <a href="matrix_1.html#K4" title="MATRIX_1:func.4">@</a></span>)</span>,<font color="Maroon" title="c2">y</font>)</span>)</span></span><br/><span class="kw">let </span><font color="Maroon" title="c3">M</font> be   <a href="matrix_1.html#NM1" title="MATRIX_1:NM.1">Matrix</a> of <a href="numbers.html#K2" title="NUMBERS:func.2">COMPLEX</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> (  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c2">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c3">M</font> &amp;  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="matrix_1.html#K1" title="MATRIX_1:func.1">width</a> <font color="Maroon" title="c3">M</font> &amp;  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">x</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp;  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c2">y</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  implies <span class="p1"><a href="complsp2.html#K8" title="COMPLSP2:func.8">|(</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c3">M</font> <a href="matrixc1.html#K6" title="MATRIXC1:func.6">*</a> <font color="Maroon" title="c1">x</font></span>)</span>,<font color="Maroon" title="c2">y</font></span><a href="complsp2.html#K8" title="COMPLSP2:func.8">)|</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="matrixc1.html#K12" title="MATRIXC1:func.12">SumAll</a> <span class="p1">(<span class="default"><a href="matrixc1.html#K13" title="MATRIXC1:func.13">QuadraticForm</a> (<font color="Maroon" title="c1">x</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c3">M</font> <a href="matrix_1.html#K4" title="MATRIX_1:func.4">@</a></span>)</span>,<font color="Maroon" title="c2">y</font>)</span>)</span> )</span><br/>



<span class="kw">assume </span><span class="kw">that </span><br/><a NAME="E1:70"/><span class="lab"><font color="Green" title="E53">A1</font></span>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c2">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c3">M</font>
 <span class="kw">and </span><br/><a NAME="E2:70"/><span class="lab"><font color="Green" title="E54">A2</font></span>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="matrix_1.html#K1" title="MATRIX_1:func.1">width</a> <font color="Maroon" title="c3">M</font>
 <span class="kw">and </span><br/><a NAME="E3:70"/><span class="lab"><font color="Green" title="E55">A3</font></span>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">x</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 <span class="kw">and </span><br/><a NAME="E4:70"/><span class="lab"><font color="Green" title="E56">A4</font></span>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c2">y</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1"><a href="complsp2.html#K8" title="COMPLSP2:func.8">|(</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c3">M</font> <a href="matrixc1.html#K6" title="MATRIXC1:func.6">*</a> <font color="Maroon" title="c1">x</font></span>)</span>,<font color="Maroon" title="c2">y</font></span><a href="complsp2.html#K8" title="COMPLSP2:func.8">)|</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="matrixc1.html#K12" title="MATRIXC1:func.12">SumAll</a> <span class="p1">(<span class="default"><a href="matrixc1.html#K13" title="MATRIXC1:func.13">QuadraticForm</a> (<font color="Maroon" title="c1">x</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c3">M</font> <a href="matrix_1.html#K4" title="MATRIX_1:func.4">@</a></span>)</span>,<font color="Maroon" title="c2">y</font>)</span>)</span></span><br/>

<a NAME="E5:70"/><span class="lab"><font color="Green" title="E57">A5</font></span>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c3">M</font> <a href="matrix_1.html#K4" title="MATRIX_1:func.4">@</a></span>)</span> <a href="matrixc1.html#K2" title="MATRIXC1:func.2">@"</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">M</font> <a href="matrixc1.html#K1" title="MATRIXC1:func.1">*'</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:70"><span class="lab"><font color="Green" title="E53">A1</font></span></a>, <a class="txt" href="#E2:70"><span class="lab"><font color="Green" title="E54">A2</font></span></a>, <a class="txt" href="#E3:70"><span class="lab"><font color="Green" title="E55">A3</font></span></a>, <a class="txt" href="#E4:70"><span class="lab"><font color="Green" title="E56">A4</font></span></a>, <a class="ref" href="matrix_2.html#T13" title="MATRIX_2:th.13">MATRIX_2:13</a></span>;<br/>
<a NAME="E6:70"/><span class="lab"><font color="Green" title="E58">A6</font></span>: 
 <a href="matrix_1.html#K1" title="MATRIX_1:func.1">width</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">M</font> <a href="matrix_1.html#K4" title="MATRIX_1:func.4">@</a></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c3">M</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:70"><span class="lab"><font color="Green" title="E54">A2</font></span></a>, <a class="txt" href="#E3:70"><span class="lab"><font color="Green" title="E55">A3</font></span></a>, <a class="ref" href="matrix_2.html#T10" title="MATRIX_2:th.10">MATRIX_2:10</a></span>;<br/>
<a NAME="E7:70"/><span class="lab"><font color="Green" title="E59">A7</font></span>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="matrix_1.html#K1" title="MATRIX_1:func.1">width</a> <font color="Maroon" title="c3">M</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:70"><span class="lab"><font color="Green" title="E54">A2</font></span></a>, <a class="ref" href="complsp2.html#D1" title="COMPLSP2:def.1">COMPLSP2:def 1</a></span>;<br/>
<a NAME="E8:70"/>
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c3">M</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:70"><span class="lab"><font color="Green" title="E53">A1</font></span></a>, <a class="ref" href="complsp2.html#D1" title="COMPLSP2:def.1">COMPLSP2:def 1</a></span>;<br/>
<a NAME="E9:70"/><span class="kw">then </span><span class="lab"><font color="Green" title="E60">A8</font></span>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><a href="matrixc1.html#K13" title="MATRIXC1:func.13">QuadraticForm</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a></span>)</span>,<font color="Maroon" title="c3">M</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a></span>)</span>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c3">M</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E7:70"><span class="lab"><font color="Green" title="E59">A7</font></span></a>, <a class="ref" href="matrixc1.html#D12" target="_self" title="MATRIXC1:def.12">Def13</a></span>;<br/>
<a NAME="E10:70"/><span class="lab"><font color="Green" title="E61">A9</font></span>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">x</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="complsp2.html#D1" title="COMPLSP2:def.1">COMPLSP2:def 1</a></span>;<br/>
<a NAME="E11:70"/><span class="lab"><font color="Green" title="E62">A10</font></span>: 
<a href="numbers.html#K6" title="NUMBERS:func.6">0</a> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">x</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:70"><span class="lab"><font color="Green" title="E55">A3</font></span></a>, <a class="ref" href="nat_1.html#T13" title="NAT_1:th.13">NAT_1:13</a></span>;<br/>
<a NAME="E12:70"/><span class="lab"><font color="Green" title="E63">A11</font></span>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c2">y</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="complsp2.html#D1" title="COMPLSP2:def.1">COMPLSP2:def 1</a></span>;<br/>
<a NAME="E13:70"/><span class="lab"><font color="Green" title="E64">A12</font></span>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">M</font> <a href="matrix_1.html#K4" title="MATRIX_1:func.4">@</a></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="matrix_1.html#K1" title="MATRIX_1:func.1">width</a> <font color="Maroon" title="c3">M</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="matrix_1.html#D6" title="MATRIX_1:def.6">MATRIX_1:def 6</a></span>;<br/>
<a NAME="E14:70"/><span class="lab"><font color="Green" title="E65">A13</font></span>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">M</font> <a href="matrixc1.html#K6" title="MATRIXC1:func.6">*</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c3">M</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="matrixc1.html#D6" target="_self" title="MATRIXC1:def.6">Def7</a></span>;<br/>
<span class="kw">hence </span><span class="p1"><a href="complsp2.html#K8" title="COMPLSP2:func.8">|(</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c3">M</font> <a href="matrixc1.html#K6" title="MATRIXC1:func.6">*</a> <font color="Maroon" title="c1">x</font></span>)</span>,<font color="Maroon" title="c2">y</font></span><a href="complsp2.html#K8" title="COMPLSP2:func.8">)|</a></span> = 
<span class="p1"><a href="complsp2.html#K8" title="COMPLSP2:func.8">|(</a><span class="default"><font color="Maroon" title="c2">y</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c3">M</font> <a href="matrixc1.html#K6" title="MATRIXC1:func.6">*</a> <font color="Maroon" title="c1">x</font></span>)</span></span><a href="complsp2.html#K8" title="COMPLSP2:func.8">)|</a></span> <a href="complex1.html#K15" title="COMPLEX1:func.15">*'</a> 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:70"><span class="lab"><font color="Green" title="E53">A1</font></span></a>, <a class="txt" href="#E4:70"><span class="lab"><font color="Green" title="E56">A4</font></span></a>, <a class="ref" href="matrixc1.html#T54" target="_self" title="MATRIXC1:th.54">Th57</a></span>
<br/>.= 
<span class="p1"><a href="complsp2.html#K8" title="COMPLSP2:func.8">|(</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c3">M</font> <a href="matrixc1.html#K6" title="MATRIXC1:func.6">*</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a></span>)</span></span><a href="complsp2.html#K8" title="COMPLSP2:func.8">)|</a></span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:70"><span class="lab"><font color="Green" title="E53">A1</font></span></a>, <a class="txt" href="#E4:70"><span class="lab"><font color="Green" title="E56">A4</font></span></a>, <a class="txt" href="#E14:70"><span class="lab"><font color="Green" title="E65">A13</font></span></a>, <a class="ref" href="matrixc1.html#T55" target="_self" title="MATRIXC1:th.55">Th58</a></span>
<br/>.= 
<span class="p1"><a href="complsp2.html#K8" title="COMPLSP2:func.8">|(</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c3">M</font> <a href="matrixc1.html#K1" title="MATRIXC1:func.1">*'</a></span>)</span> <a href="matrixc1.html#K6" title="MATRIXC1:func.6">*</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a></span>)</span></span>)</span></span><a href="complsp2.html#K8" title="COMPLSP2:func.8">)|</a></span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:70"><span class="lab"><font color="Green" title="E54">A2</font></span></a>, <a class="txt" href="#E11:70"><span class="lab"><font color="Green" title="E62">A10</font></span></a>, <a class="ref" href="matrixc1.html#T43" target="_self" title="MATRIXC1:th.43">Th45</a></span>
<br/>.= 
 <a href="matrixc1.html#K12" title="MATRIXC1:func.12">SumAll</a> <span class="p1">(<span class="default"><a href="matrixc1.html#K13" title="MATRIXC1:func.13">QuadraticForm</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c3">M</font> <a href="matrix_1.html#K4" title="MATRIX_1:func.4">@</a></span>)</span> <a href="matrix_1.html#K4" title="MATRIX_1:func.4">@</a></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a></span>)</span>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:70"><span class="lab"><font color="Green" title="E53">A1</font></span></a>, <a class="txt" href="#E2:70"><span class="lab"><font color="Green" title="E54">A2</font></span></a>, <a class="txt" href="#E3:70"><span class="lab"><font color="Green" title="E55">A3</font></span></a>, <a class="txt" href="#E4:70"><span class="lab"><font color="Green" title="E56">A4</font></span></a>, <a class="txt" href="#E10:70"><span class="lab"><font color="Green" title="E61">A9</font></span></a>, <a class="txt" href="#E12:70"><span class="lab"><font color="Green" title="E63">A11</font></span></a>, <a class="txt" href="#E13:70"><span class="lab"><font color="Green" title="E64">A12</font></span></a>, <a class="txt" href="#E6:70"><span class="lab"><font color="Green" title="E58">A6</font></span></a>, <a class="txt" href="#E5:70"><span class="lab"><font color="Green" title="E57">A5</font></span></a>, <a class="ref" href="matrixc1.html#T57" target="_self" title="MATRIXC1:th.57">Th60</a></span>
<br/>.= 
 <a href="matrixc1.html#K12" title="MATRIXC1:func.12">SumAll</a> <span class="p1">(<span class="default"><a href="matrixc1.html#K13" title="MATRIXC1:func.13">QuadraticForm</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a></span>)</span>,<font color="Maroon" title="c3">M</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a></span>)</span>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:70"><span class="lab"><font color="Green" title="E53">A1</font></span></a>, <a class="txt" href="#E2:70"><span class="lab"><font color="Green" title="E54">A2</font></span></a>, <a class="txt" href="#E3:70"><span class="lab"><font color="Green" title="E55">A3</font></span></a>, <a class="txt" href="#E4:70"><span class="lab"><font color="Green" title="E56">A4</font></span></a>, <a class="ref" href="matrix_2.html#T13" title="MATRIX_2:th.13">MATRIX_2:13</a></span>
<br/>.= 
 <a href="matrixc1.html#K12" title="MATRIXC1:func.12">SumAll</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="matrixc1.html#K13" title="MATRIXC1:func.13">QuadraticForm</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a></span>)</span>,<font color="Maroon" title="c3">M</font>,<span class="p3">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a></span>)</span>)</span>)</span> <a href="matrix_1.html#K4" title="MATRIX_1:func.4">@</a></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:70"><span class="lab"><font color="Green" title="E53">A1</font></span></a>, <a class="txt" href="#E4:70"><span class="lab"><font color="Green" title="E56">A4</font></span></a>, <a class="txt" href="#E9:70"><span class="lab"><font color="Green" title="E60">A8</font></span></a>, <a class="ref" href="matrixc1.html#T51" target="_self" title="MATRIXC1:th.51">Th54</a></span>
<br/>.= 
 <a href="matrixc1.html#K12" title="MATRIXC1:func.12">SumAll</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="matrixc1.html#K13" title="MATRIXC1:func.13">QuadraticForm</a> (<span class="p3">(<span class="default"><font color="Maroon" title="c1">x</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon" title="c3">M</font> <a href="matrixc1.html#K2" title="MATRIXC1:func.2">@"</a></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon" title="c2">y</font> <a href="complsp2.html#K1" title="COMPLSP2:func.1">*'</a></span>)</span>)</span>)</span> <a href="matrixc1.html#K1" title="MATRIXC1:func.1">*'</a></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:70"><span class="lab"><font color="Green" title="E53">A1</font></span></a>, <a class="txt" href="#E2:70"><span class="lab"><font color="Green" title="E54">A2</font></span></a>, <a class="txt" href="#E3:70"><span class="lab"><font color="Green" title="E55">A3</font></span></a>, <a class="txt" href="#E10:70"><span class="lab"><font color="Green" title="E61">A9</font></span></a>, <a class="txt" href="#E12:70"><span class="lab"><font color="Green" title="E63">A11</font></span></a>, <a class="ref" href="matrixc1.html#T52" target="_self" title="MATRIXC1:th.52">Th55</a></span>
<br/>.= 
 <a href="matrixc1.html#K12" title="MATRIXC1:func.12">SumAll</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="matrixc1.html#K13" title="MATRIXC1:func.13">QuadraticForm</a> (<font color="Maroon" title="c1">x</font>,<span class="p4">(<span class="default"><font color="Maroon" title="c3">M</font> <a href="matrix_1.html#K4" title="MATRIX_1:func.4">@</a></span>)</span>,<font color="Maroon" title="c2">y</font>)</span>)</span> <a href="matrixc1.html#K1" title="MATRIXC1:func.1">*'</a></span>)</span> <a href="matrixc1.html#K1" title="MATRIXC1:func.1">*'</a></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:70"><span class="lab"><font color="Green" title="E53">A1</font></span></a>, <a class="txt" href="#E2:70"><span class="lab"><font color="Green" title="E54">A2</font></span></a>, <a class="txt" href="#E13:70"><span class="lab"><font color="Green" title="E64">A12</font></span></a>, <a class="txt" href="#E6:70"><span class="lab"><font color="Green" title="E58">A6</font></span></a>, <a class="ref" href="matrixc1.html#T53" target="_self" title="MATRIXC1:th.53">Th56</a></span>
<br/>.= 
 <a href="matrixc1.html#K12" title="MATRIXC1:func.12">SumAll</a> <span class="p1">(<span class="default"><a href="matrixc1.html#K13" title="MATRIXC1:func.13">QuadraticForm</a> (<font color="Maroon" title="c1">x</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c3">M</font> <a href="matrix_1.html#K4" title="MATRIX_1:func.4">@</a></span>)</span>,<font color="Maroon" title="c2">y</font>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="matrixc1.html#T2" target="_self" title="MATRIXC1:th.2">Th2</a></span>
;<br/> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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