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<i><font color="Green">E37</font></i>: <a href="quaterni.html#K11" target="_self">&lt;j&gt;</a>  <a href="quaterni.html#K10" target="_self">*</a> <a href="quaterni.html#K12" target="_self">&lt;k&gt;</a>  = 
<span class="p1"><a href="quaterni.html#K6" target="_self">[*</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default">0 <a href="real_1.html#K4">*</a> 0</span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default">0 <a href="real_1.html#K4">*</a> 0</span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default">1 <a href="real_1.html#K4">*</a> 0</span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default">0 <a href="real_1.html#K4">*</a> 1</span>)</span></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default">0 <a href="real_1.html#K4">*</a> 0</span>)</span> <a href="real_1.html#K3">+</a> <span class="p5">(<span class="default">0 <a href="real_1.html#K4">*</a> 0</span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <span class="p4">(<span class="default">1 <a href="real_1.html#K4">*</a> 1</span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default">0 <a href="real_1.html#K4">*</a> 0</span>)</span></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default">0 <a href="real_1.html#K4">*</a> 0</span>)</span> <a href="real_1.html#K3">+</a> <span class="p5">(<span class="default">0 <a href="real_1.html#K4">*</a> 1</span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <span class="p4">(<span class="default">0 <a href="real_1.html#K4">*</a> 0</span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default">1 <a href="real_1.html#K4">*</a> 0</span>)</span></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default">0 <a href="real_1.html#K4">*</a> 1</span>)</span> <a href="real_1.html#K3">+</a> <span class="p5">(<span class="default">0 <a href="real_1.html#K4">*</a> 0</span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <span class="p4">(<span class="default">0 <a href="real_1.html#K4">*</a> 0</span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default">1 <a href="real_1.html#K4">*</a> 0</span>)</span></span>)</span></span><a href="quaterni.html#K6" target="_self">*]</a></span>
<b>by </b><i/>
<br/>.= 
<span class="p1"><a href="quaterni.html#K6" target="_self">[*</a><span class="default">0,1,0,0</span><a href="quaterni.html#K6" target="_self">*]</a></span>

;<br/>
<i><font color="Green">E40</font></i>: <a href="quaterni.html#K12" target="_self">&lt;k&gt;</a>  <a href="quaterni.html#K10" target="_self">*</a> <a href="quaterni.html#K11" target="_self">&lt;j&gt;</a>  = 
<span class="p1"><a href="quaterni.html#K6" target="_self">[*</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default">0 <a href="real_1.html#K4">*</a> 0</span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default">0 <a href="real_1.html#K4">*</a> 0</span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default">0 <a href="real_1.html#K4">*</a> 1</span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default">1 <a href="real_1.html#K4">*</a> 0</span>)</span></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default">0 <a href="real_1.html#K4">*</a> 0</span>)</span> <a href="real_1.html#K3">+</a> <span class="p5">(<span class="default">0 <a href="real_1.html#K4">*</a> 0</span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <span class="p4">(<span class="default">0 <a href="real_1.html#K4">*</a> 0</span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default">1 <a href="real_1.html#K4">*</a> 1</span>)</span></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default">0 <a href="real_1.html#K4">*</a> 1</span>)</span> <a href="real_1.html#K3">+</a> <span class="p5">(<span class="default">0 <a href="real_1.html#K4">*</a> 0</span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <span class="p4">(<span class="default">0 <a href="real_1.html#K4">*</a> 1</span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default">0 <a href="real_1.html#K4">*</a> 0</span>)</span></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default">0 <a href="real_1.html#K4">*</a> 0</span>)</span> <a href="real_1.html#K3">+</a> <span class="p5">(<span class="default">1 <a href="real_1.html#K4">*</a> 0</span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <span class="p4">(<span class="default">0 <a href="real_1.html#K4">*</a> 1</span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default">0 <a href="real_1.html#K4">*</a> 0</span>)</span></span>)</span></span><a href="quaterni.html#K6" target="_self">*]</a></span>
<b>by </b><i/>
<br/>.= 
<span class="p1"><a href="quaterni.html#K6" target="_self">[*</a><span class="default">0,<span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span>,0,0</span><a href="quaterni.html#K6" target="_self">*]</a></span>

;<br/>
<span class="p1">(<span class="default"><a href="quaterni.html#K11" target="_self">&lt;j&gt;</a>  <a href="quaterni.html#K10" target="_self">*</a> <a href="quaterni.html#K12" target="_self">&lt;k&gt;</a> </span>)</span> <a href="quaterni.html#K7" target="_self">+</a> <span class="p1">(<span class="default"><a href="quaterni.html#K12" target="_self">&lt;k&gt;</a>  <a href="quaterni.html#K10" target="_self">*</a> <a href="quaterni.html#K11" target="_self">&lt;j&gt;</a> </span>)</span> = 
<span class="p1"><a href="quaterni.html#K6" target="_self">[*</a><span class="default"><span class="p2">(<span class="default">0 <a href="real_1.html#K3">+</a> 0</span>)</span>,<span class="p2">(<span class="default">0 <a href="real_1.html#K3">+</a> 0</span>)</span>,<span class="p2">(<span class="default">0 <a href="real_1.html#K3">+</a> 0</span>)</span>,<span class="p2">(<span class="default">1 <a href="real_1.html#K3">+</a> <span class="p3">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span></span>)</span></span><a href="quaterni.html#K6" target="_self">*]</a></span>
<b>by </b><i>, , </i>
<br/>.= 
0
<b>by </b><i/>
;<br/>
<b>hence </b><a NAME="E4:41"/>
<a href="quaterni.html#K11" target="_self">&lt;j&gt;</a>  <a href="quaterni.html#K10" target="_self">*</a> <a href="quaterni.html#K12" target="_self">&lt;k&gt;</a>  <a href="hidden.html#R1">=</a>  <a href="quaterni.html#K8" target="_self">-</a> <span class="p1">(<span class="default"><a href="quaterni.html#K12" target="_self">&lt;k&gt;</a>  <a href="quaterni.html#K10" target="_self">*</a> <a href="quaterni.html#K11" target="_self">&lt;j&gt;</a> </span>)</span>
 <b>by </b><i/>;<br/>


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