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1 May 2024
21 April 2024
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N 21:28 | Euclidean angle 2 changes history +3,083 [Eric Lengyel (2×)] | |||
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21:28 (cur | prev) 0 Eric Lengyel talk contribs | ||||
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21:27 (cur | prev) +3,083 Eric Lengyel talk contribs (Created page with "The cosine of the Euclidean angle $$\cos \phi(\mathbf a, \mathbf b)$$ between two geometric objects '''a''' and '''b''' can be measured by the homogeneous magnitude given by :$$\cos \phi(\mathbf a, \mathbf b) = \left\Vert \mathbf a \vee \mathbf b^\unicode["segoe ui symbol"]{x2606}\right\Vert_\unicode{x25CF} + \left\Vert\mathbf a \right\Vert_\unicode{x25CB}\left\Vert\mathbf b \right\Vert_\unicode{x25CB}$$. In the case that the grades of $$\mathbf a$$ and $$\mathbf b...") | |||
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21:15 | Euclidean distance 2 changes history +309 [Eric Lengyel (2×)] | |||
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21:15 (cur | prev) +22 Eric Lengyel talk contribs | ||||
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21:15 (cur | prev) +287 Eric Lengyel talk contribs | ||||
13 April 2024
| 23:52 | Transformation groups diffhist +76 Eric Lengyel talk contribs | ||||
| 23:51 | Flector diffhist +92 Eric Lengyel talk contribs | ||||
| 23:51 | Motor diffhist +86 Eric Lengyel talk contribs | ||||
| 23:50 | Plane diffhist +73 Eric Lengyel talk contribs | ||||
| 23:50 | Line diffhist +71 Eric Lengyel talk contribs | ||||
| 23:49 | Point diffhist +73 Eric Lengyel talk contribs | ||||
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23:33 | Duality 2 changes history +70 [Eric Lengyel (2×)] | |||
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23:33 (cur | prev) 0 Eric Lengyel talk contribs | ||||
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05:16 (cur | prev) +70 Eric Lengyel talk contribs | ||||
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23:33 | Unitization 2 changes history +66 [Eric Lengyel (2×)] | |||
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23:33 (cur | prev) 0 Eric Lengyel talk contribs | ||||
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05:15 (cur | prev) +66 Eric Lengyel talk contribs | ||||
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23:33 | Geometric constraint 2 changes history +78 [Eric Lengyel (2×)] | |||
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23:33 (cur | prev) 0 Eric Lengyel talk contribs | ||||
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05:14 (cur | prev) +78 Eric Lengyel talk contribs | ||||
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23:32 | Geometric norm 2 changes history +71 [Eric Lengyel (2×)] | |||
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23:32 (cur | prev) 0 Eric Lengyel talk contribs | ||||
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05:14 (cur | prev) +71 Eric Lengyel talk contribs | ||||
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23:32 | Reverses 2 changes history +79 [Eric Lengyel (2×)] | |||
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23:32 (cur | prev) 0 Eric Lengyel talk contribs | ||||
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05:11 (cur | prev) +79 Eric Lengyel talk contribs | ||||
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23:32 | Duals 4 changes history +1,193 [Eric Lengyel (4×)] | |||
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23:32 (cur | prev) 0 Eric Lengyel talk contribs | ||||
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05:05 (cur | prev) +1,145 Eric Lengyel talk contribs | ||||
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01:54 (cur | prev) +8 Eric Lengyel talk contribs | ||||
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01:36 (cur | prev) +40 Eric Lengyel talk contribs | ||||
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23:32 | Bulk and weight 3 changes history +78 [Eric Lengyel (3×)] | |||
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23:32 (cur | prev) 0 Eric Lengyel talk contribs | ||||
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05:08 (cur | prev) +71 Eric Lengyel talk contribs | ||||
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01:54 (cur | prev) +7 Eric Lengyel talk contribs | ||||
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N 23:31 | Metrics 5 changes history +1,252 [Eric Lengyel (5×)] | |||
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23:31 (cur | prev) 0 Eric Lengyel talk contribs | ||||
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05:08 (cur | prev) +13 Eric Lengyel talk contribs (→In the Book) | ||||
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05:07 (cur | prev) +79 Eric Lengyel talk contribs | ||||
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01:53 (cur | prev) +486 Eric Lengyel talk contribs | ||||
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01:48 (cur | prev) +674 Eric Lengyel talk contribs (Created page with "The ''metric'' used in the 4D rigid geometric algebra over 3D Euclidean space is the $$4 \times 4$$ matrix $$\mathfrak g$$ given by :$$\mathfrak g = \begin{bmatrix} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 0 \\\end{bmatrix}$$ . The ''metric exomorphism matrix'' $$\mathbf G$$, often just called the "metric" itself, corresponding to the metric $$\mathfrak g$$ is the $$16 \times 16$$ matrix shown below. 420px The ''metri...") | |||
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23:31 | Complements 2 changes history +65 [Eric Lengyel (2×)] | |||
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23:31 (cur | prev) 0 Eric Lengyel talk contribs | ||||
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05:06 (cur | prev) +65 Eric Lengyel talk contribs | ||||
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23:31 | Grade and antigrade 2 changes history +75 [Eric Lengyel (2×)] | |||
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23:31 (cur | prev) 0 Eric Lengyel talk contribs | ||||
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05:10 (cur | prev) +75 Eric Lengyel talk contribs | ||||
| 23:30 | Euclidean distance diffhist −40 Eric Lengyel talk contribs | ||||
| 23:28 | Projections diffhist +68 Eric Lengyel talk contribs | ||||
| 23:27 | Interior products diffhist +102 Eric Lengyel talk contribs | ||||
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23:26 | Dot products 2 changes history +97 [Eric Lengyel (2×)] | |||
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23:26 (cur | prev) +89 Eric Lengyel talk contribs | ||||
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01:53 (cur | prev) +8 Eric Lengyel talk contribs | ||||
| 23:25 | Geometric products diffhist −202 Eric Lengyel talk contribs | ||||
| 23:24 | Exterior products diffhist −153 Eric Lengyel talk contribs | ||||
| 05:13 | Attitude diffhist +66 Eric Lengyel talk contribs | ||||
12 April 2024
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20:39 | Complements 2 changes history +259 [Eric Lengyel (2×)] | |||
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20:39 (cur | prev) +247 Eric Lengyel talk contribs | ||||
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06:26 (cur | prev) +12 Eric Lengyel talk contribs (→See Also) | ||||
| 06:27 | Bulk and weight diffhist +12 Eric Lengyel talk contribs (→See Also) | ||||
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06:26 | Duals 2 changes history +669 [Eric Lengyel (2×)] | |||
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06:26 (cur | prev) 0 Eric Lengyel talk contribs (→See Also) | ||||
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06:26 (cur | prev) +669 Eric Lengyel talk contribs | ||||