User contributions for Eric Lengyel
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21 April 2024
- 21:2721:27, 21 April 2024 diff hist +3,083 N Euclidean angle 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..."
- 21:2721:27, 21 April 2024 diff hist 0 N File:Angle line line.svg No edit summary current
- 21:2721:27, 21 April 2024 diff hist 0 N File:Angle plane line.svg No edit summary current
- 21:2721:27, 21 April 2024 diff hist 0 N File:Angle plane plane.svg No edit summary current
- 21:1521:15, 21 April 2024 diff hist +22 Euclidean distance No edit summary
- 21:1521:15, 21 April 2024 diff hist +287 Euclidean distance No edit summary
13 April 2024
- 23:5223:52, 13 April 2024 diff hist +76 Transformation groups No edit summary
- 23:5123:51, 13 April 2024 diff hist +92 Flector No edit summary
- 23:5123:51, 13 April 2024 diff hist +86 Motor No edit summary
- 23:5023:50, 13 April 2024 diff hist +73 Plane No edit summary
- 23:5023:50, 13 April 2024 diff hist +71 Line No edit summary current
- 23:4923:49, 13 April 2024 diff hist +73 Point No edit summary current
- 23:3323:33, 13 April 2024 diff hist 0 Duality No edit summary current
- 23:3323:33, 13 April 2024 diff hist 0 Unitization No edit summary
- 23:3323:33, 13 April 2024 diff hist 0 Geometric constraint No edit summary
- 23:3223:32, 13 April 2024 diff hist 0 Geometric norm No edit summary
- 23:3223:32, 13 April 2024 diff hist 0 Reverses No edit summary current
- 23:3223:32, 13 April 2024 diff hist 0 Duals No edit summary
- 23:3223:32, 13 April 2024 diff hist 0 Bulk and weight No edit summary
- 23:3123:31, 13 April 2024 diff hist 0 Metrics No edit summary current
- 23:3123:31, 13 April 2024 diff hist 0 Complements No edit summary
- 23:3123:31, 13 April 2024 diff hist 0 Grade and antigrade No edit summary current
- 23:3023:30, 13 April 2024 diff hist −40 Euclidean distance No edit summary
- 23:2823:28, 13 April 2024 diff hist +68 Projections No edit summary current
- 23:2723:27, 13 April 2024 diff hist +102 Interior products No edit summary
- 23:2723:27, 13 April 2024 diff hist +19 N Weight dual Redirected page to Duals current Tag: New redirect
- 23:2723:27, 13 April 2024 diff hist +19 N Bulk dual Redirected page to Duals current Tag: New redirect
- 23:2623:26, 13 April 2024 diff hist +89 Dot products No edit summary
- 23:2523:25, 13 April 2024 diff hist −202 Geometric products No edit summary current
- 23:2423:24, 13 April 2024 diff hist −153 Exterior products No edit summary current
- 05:1605:16, 13 April 2024 diff hist +70 Duality No edit summary
- 05:1505:15, 13 April 2024 diff hist +66 Unitization No edit summary
- 05:1405:14, 13 April 2024 diff hist +78 Geometric constraint No edit summary
- 05:1405:14, 13 April 2024 diff hist +71 Geometric norm No edit summary
- 05:1305:13, 13 April 2024 diff hist +66 Attitude No edit summary current
- 05:1105:11, 13 April 2024 diff hist +79 Reverses No edit summary
- 05:1005:10, 13 April 2024 diff hist +75 Grade and antigrade No edit summary
- 05:0805:08, 13 April 2024 diff hist +13 Metrics →In the Book
- 05:0805:08, 13 April 2024 diff hist +71 Bulk and weight No edit summary
- 05:0705:07, 13 April 2024 diff hist +79 Metrics No edit summary
- 05:0605:06, 13 April 2024 diff hist +65 Complements No edit summary
- 05:0505:05, 13 April 2024 diff hist +1,145 Duals No edit summary
- 01:5401:54, 13 April 2024 diff hist +8 Duals No edit summary
- 01:5401:54, 13 April 2024 diff hist +7 Bulk and weight No edit summary
- 01:5401:54, 13 April 2024 diff hist +21 N Metric antiexomorphism matrix Redirected page to Metrics current Tag: New redirect
- 01:5301:53, 13 April 2024 diff hist +21 N Metric exomorphism matrix Redirected page to Metrics current Tag: New redirect
- 01:5301:53, 13 April 2024 diff hist +8 Dot products No edit summary
- 01:5301:53, 13 April 2024 diff hist +486 Metrics No edit summary
- 01:4801:48, 13 April 2024 diff hist +674 N Metrics 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..."
- 01:4801:48, 13 April 2024 diff hist 0 N File:Antimetric-rga-3d.svg No edit summary current
