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<b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="bilinear.html#NM1">Form</a> of <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>1</sub></font>;<br/>

<b>assume </b><a NAME="E1:60_1_1"/><i><font color="Green">E34</font></i>: 
( <font color="Maroon">c<sub>2</sub></font> is <a href="hermitan.html#V3" target="_self">hermitan</a> &amp; <font color="Maroon">c<sub>2</sub></font> is <a href="hermitan.html#V2" target="_self">cmplxhomogeneousFAF</a> )
 ;<br/>

<b>let </b><font color="Maroon">c<sub>3</sub></font> be   <a href="vectsp_1.html#NM5">Vector</a> of <font color="Maroon">c<sub>1</sub></font>; <i><font color="Red">:: according to </font></i><a class="ref" href="bilinear.html#D15">BILINEAR:def 15</a><br/>

<b>set </b><font color="Maroon">c<sub>4</sub></font> =  <a href="bilinear.html#K10">FunctionalSAF</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>;<br/>
<b>set </b><font color="Maroon">c<sub>5</sub></font> =  <a href="bilinear.html#K9">FunctionalFAF</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>;<br/>
<a NAME="E2:60_1_1"/><i><font color="Green">E35</font></i>: 
 <a href="bilinear.html#K9">FunctionalFAF</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> is <a href="hermitan.html#V1" target="_self">cmplxhomogeneous</a>
 
<b>by </b><i><a class="txt" href="hermitan.html#E1:60_1_1"><i><font color="Green">E34</font></i></a>, <a class="ref" href="hermitan.html#D4" target="_self">Def4</a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="60_1_1_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">c<sub>6</sub></font> be   <a href="vectsp_1.html#NM5">Vector</a> of <font color="Maroon">c<sub>1</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>7</sub></font> be   <a href="vectsp_1.html#NM4">Scalar</a> of ;<br/><b>thus </b><span class="p1">(<span class="default"><a href="bilinear.html#K10">FunctionalSAF</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="vectsp_1.html#K6">*</a> <font color="Maroon">c<sub>6</sub></font></span>)</span> = 
<font color="Maroon">c<sub>2</sub></font> <a href="binop_1.html#K2">.</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="vectsp_1.html#K6">*</a> <font color="Maroon">c<sub>6</sub></font></span>)</span>,<font color="Maroon">c<sub>3</sub></font>
<b>by </b><i><a class="ref" href="bilinear.html#T10">BILINEAR:10</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="binop_1.html#K2">.</a> <font color="Maroon">c<sub>3</sub></font>,<span class="p2">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="vectsp_1.html#K6">*</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span> <a href="complfld.html#K2">*'</a> 
<b>by </b><i><a class="txt" href="hermitan.html#E1:60_1_1"><i><font color="Green">E34</font></i></a>, <a class="ref" href="hermitan.html#D5" target="_self">Def5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="bilinear.html#K9">FunctionalFAF</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="vectsp_1.html#K6">*</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span> <a href="complfld.html#K2">*'</a> 
<b>by </b><i><a class="ref" href="bilinear.html#T9">BILINEAR:9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="complfld.html#K2">*'</a> </span>)</span> <a href="group_1.html#K10">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="bilinear.html#K9">FunctionalFAF</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">c<sub>6</sub></font></span>)</span></span>)</span> <a href="complfld.html#K2">*'</a> 
<b>by </b><i><a class="txt" href="hermitan.html#E2:60_1_1"><i><font color="Green">E35</font></i></a>, <a class="ref" href="hermitan.html#D1" target="_self">Def1</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="complfld.html#K2">*'</a> </span>)</span> <a href="complfld.html#K2">*'</a> </span>)</span> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="bilinear.html#K9">FunctionalFAF</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="complfld.html#K2">*'</a> </span>)</span>
<b>by </b><i><a class="ref" href="complfld.html#T90">COMPLFLD:90</a></i>
<br/>.= 
<font color="Maroon">c<sub>7</sub></font> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="bilinear.html#K9">FunctionalFAF</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="complfld.html#K2">*'</a> </span>)</span>

<br/>.= 
<font color="Maroon">c<sub>7</sub></font> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="binop_1.html#K2">.</a> <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="complfld.html#K2">*'</a> </span>)</span>
<b>by </b><i><a class="ref" href="bilinear.html#T9">BILINEAR:9</a></i>
<br/>.= 
<font color="Maroon">c<sub>7</sub></font> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="binop_1.html#K2">.</a> <font color="Maroon">c<sub>6</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="hermitan.html#E1:60_1_1"><i><font color="Green">E34</font></i></a>, <a class="ref" href="hermitan.html#D5" target="_self">Def5</a></i>
<br/>.= 
<font color="Maroon">c<sub>7</sub></font> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="bilinear.html#K10">FunctionalSAF</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">c<sub>6</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="bilinear.html#T10">BILINEAR:10</a></i>
;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:60_1_1"/>
 <a href="bilinear.html#K10">FunctionalSAF</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> is <a href="hahnban1.html#V2">homogeneous</a>
 <b>by </b><i><a class="ref" href="hahnban1.html#D12">HAHNBAN1:def 12</a></i>;<br/>


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