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<b>let </b><font color="Maroon">v</font> be   <a href="vectsp_1.html#NM5">Vector</a> of <font color="Maroon">V</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="hermitan.html#D4" target="_self">HERMITAN:def 4</a><br/><b>let </b><font color="Maroon">w</font> be   <a href="vectsp_1.html#NM5">Vector</a> of <font color="Maroon">W</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="hermitan.html#D1" target="_self">HERMITAN:def 1</a><br/><b>let </b><font color="Maroon">r</font> be   <a href="vectsp_1.html#NM4">Scalar</a> of ;<br/>





<b>set </b><font color="Maroon">fg</font> =  <a href="bilinear.html#K9">FunctionalFAF</a> <span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="hermitan.html#K3" target="_self">*'</a> </span>)</span>,<font color="Maroon">v</font>;<br/>
<b>thus </b><span class="p1">(<span class="default"><a href="bilinear.html#K9">FunctionalFAF</a> <span class="p2">(<span class="default"><font color="Maroon">f</font> <a href="hermitan.html#K3" target="_self">*'</a> </span>)</span>,<font color="Maroon">v</font></span>)</span> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><font color="Maroon">r</font> <a href="vectsp_1.html#K6">*</a> <font color="Maroon">w</font></span>)</span> = 
<span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="hermitan.html#K3" target="_self">*'</a> </span>)</span> <a href="binop_1.html#K2">.</a> <font color="Maroon">v</font>,<span class="p1">(<span class="default"><font color="Maroon">r</font> <a href="vectsp_1.html#K6">*</a> <font color="Maroon">w</font></span>)</span>
<b>by </b><i><a class="ref" href="bilinear.html#T9">BILINEAR:9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="binop_1.html#K2">.</a> <font color="Maroon">v</font>,<span class="p2">(<span class="default"><font color="Maroon">r</font> <a href="vectsp_1.html#K6">*</a> <font color="Maroon">w</font></span>)</span></span>)</span> <a href="complfld.html#K2">*'</a> 
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">r</font> <a href="group_1.html#K10">*</a> <span class="p2">(<span class="default"><font color="Maroon">f</font> <a href="binop_1.html#K2">.</a> <font color="Maroon">v</font>,<font color="Maroon">w</font></span>)</span></span>)</span> <a href="complfld.html#K2">*'</a> 
<b>by </b><i><a class="ref" href="bilinear.html#T33">BILINEAR:33</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">r</font> <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"><font color="Maroon">f</font> <a href="binop_1.html#K2">.</a> <font color="Maroon">v</font>,<font color="Maroon">w</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/>.= 
<span class="p1">(<span class="default"><font color="Maroon">r</font> <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"><font color="Maroon">f</font> <a href="hermitan.html#K3" target="_self">*'</a> </span>)</span> <a href="binop_1.html#K2">.</a> <font color="Maroon">v</font>,<font color="Maroon">w</font></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">r</font> <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"><a href="bilinear.html#K9">FunctionalFAF</a> <span class="p3">(<span class="default"><font color="Maroon">f</font> <a href="hermitan.html#K3" target="_self">*'</a> </span>)</span>,<font color="Maroon">v</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">w</font></span>)</span>
<b>by </b><i><a class="ref" href="bilinear.html#T9">BILINEAR:9</a></i>
;<br/>


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