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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="bhsp_1.html#NM1">RealUnitarySpace</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font> be   <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>



<span class="p1">(<span class="default"><span class="p2"><a href="bhsp_1.html#K3">||.</a><span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span><a href="bhsp_1.html#K3">.||</a></span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K3">+</a> <span class="p1">(<span class="default"><span class="p2"><a href="bhsp_1.html#K3">||.</a><span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span><a href="bhsp_1.html#K3">.||</a></span> <a href="square_1.html#K5">^2</a> </span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4"><a href="bhsp_1.html#K3">||.</a><span class="default"><font color="Maroon">c<sub>2</sub></font></span><a href="bhsp_1.html#K3">.||</a></span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K3">+</a> <span class="p3">(<span class="default">2 <a href="real_1.html#K4">*</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="bhsp_1.html#K2">.|.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <span class="p2">(<span class="default"><span class="p3"><a href="bhsp_1.html#K3">||.</a><span class="default"><font color="Maroon">c<sub>3</sub></font></span><a href="bhsp_1.html#K3">.||</a></span> <a href="square_1.html#K5">^2</a> </span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <span class="p1">(<span class="default"><span class="p2"><a href="bhsp_1.html#K3">||.</a><span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span><a href="bhsp_1.html#K3">.||</a></span> <a href="square_1.html#K5">^2</a> </span>)</span>
<b>by </b><i><a class="ref" href="rusub_5.html#T29" target="_self">Th29</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4"><a href="bhsp_1.html#K3">||.</a><span class="default"><font color="Maroon">c<sub>2</sub></font></span><a href="bhsp_1.html#K3">.||</a></span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K3">+</a> <span class="p3">(<span class="default">2 <a href="real_1.html#K4">*</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="bhsp_1.html#K2">.|.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <span class="p2">(<span class="default"><span class="p3"><a href="bhsp_1.html#K3">||.</a><span class="default"><font color="Maroon">c<sub>3</sub></font></span><a href="bhsp_1.html#K3">.||</a></span> <a href="square_1.html#K5">^2</a> </span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4"><a href="bhsp_1.html#K3">||.</a><span class="default"><font color="Maroon">c<sub>2</sub></font></span><a href="bhsp_1.html#K3">.||</a></span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default">2 <a href="real_1.html#K4">*</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="bhsp_1.html#K2">.|.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <span class="p2">(<span class="default"><span class="p3"><a href="bhsp_1.html#K3">||.</a><span class="default"><font color="Maroon">c<sub>3</sub></font></span><a href="bhsp_1.html#K3">.||</a></span> <a href="square_1.html#K5">^2</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="rusub_5.html#T29" target="_self">Th29</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3"><a href="bhsp_1.html#K3">||.</a><span class="default"><font color="Maroon">c<sub>2</sub></font></span><a href="bhsp_1.html#K3">.||</a></span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K3">+</a> <span class="p2">(<span class="default"><span class="p3"><a href="bhsp_1.html#K3">||.</a><span class="default"><font color="Maroon">c<sub>2</sub></font></span><a href="bhsp_1.html#K3">.||</a></span> <a href="square_1.html#K5">^2</a> </span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <span class="p1">(<span class="default">2 <a href="real_1.html#K4">*</a> <span class="p2">(<span class="default"><span class="p3"><a href="bhsp_1.html#K3">||.</a><span class="default"><font color="Maroon">c<sub>3</sub></font></span><a href="bhsp_1.html#K3">.||</a></span> <a href="square_1.html#K5">^2</a> </span>)</span></span>)</span>

;<br/>
<b>hence </b><a NAME="E2:35"/>
<span class="p1">(<span class="default"><span class="p2"><a href="bhsp_1.html#K3">||.</a><span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span><a href="bhsp_1.html#K3">.||</a></span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K3">+</a> <span class="p1">(<span class="default"><span class="p2"><a href="bhsp_1.html#K3">||.</a><span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span><a href="bhsp_1.html#K3">.||</a></span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default">2 <a href="real_1.html#K4">*</a> <span class="p2">(<span class="default"><span class="p3"><a href="bhsp_1.html#K3">||.</a><span class="default"><font color="Maroon">c<sub>2</sub></font></span><a href="bhsp_1.html#K3">.||</a></span> <a href="square_1.html#K5">^2</a> </span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <span class="p1">(<span class="default">2 <a href="real_1.html#K4">*</a> <span class="p2">(<span class="default"><span class="p3"><a href="bhsp_1.html#K3">||.</a><span class="default"><font color="Maroon">c<sub>3</sub></font></span><a href="bhsp_1.html#K3">.||</a></span> <a href="square_1.html#K5">^2</a> </span>)</span></span>)</span>
 ;<br/>


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