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replace . with ·
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neteler committed Dec 15, 2024
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14 changes: 7 additions & 7 deletions misc/m.transform/m.transform.html
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Expand Up @@ -21,38 +21,38 @@ <h2>NOTES</h2>
The transformations are:
<p>order=1:
<div class="code"><pre>
e = [E0 E1][1].[1]
e = [E0 E1][1]&middot;[1]
[E2 0][e] [n]

n = [N0 N1][1].[1]
n = [N0 N1][1]&middot;[1]
[N2 0][e] [n]
</pre></div>

order=2:
<div class="code"><pre>
e = [E0 E1 E3][1 ] [1 ]
[E2 E4 0][e ].[n ]
[E2 E4 0][e ]&middot;[n ]
[E5 0 0][e&sup2;] [n&sup2;]

n = [N0 N1 N3][1 ] [1 ]
[N2 N4 0][e ].[n ]
[N2 N4 0][e ]&middot;[n ]
[N5 0 0][e&sup2;] [n&sup2;]
</pre></div>

order=3:
<div class="code"><pre>
e = [E0 E1 E3 E6][1 ] [1 ]
[E2 E4 E7 0][e ].[n ]
[E2 E4 E7 0][e ]&middot;[n ]
[E5 E8 0 0][e&sup2;] [n&sup2;]
[E9 0 0 0][e&sup3;] [n&sup3;]

n = [N0 N1 N3 N6][1 ] [1 ]
[N2 N4 N7 0][e ].[n ]
[N2 N4 N7 0][e ]&middot;[n ]
[N5 N8 0 0][e&sup2;] [n&sup2;]
[N9 0 0 0][e&sup3;] [n&sup3;]
</pre></div>

["." = dot-product, (AE).N = N'EA.]
["&middot;" = dot-product, (AE)&middot;N = N'EA.]

<p>In other words, <em>order=1</em> and <em>order=2</em> are equivalent
to <em>order=3</em> with the higher coefficients equal to zero.
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