User contributions for Eric Lengyel
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2 July 2024
- 23:3923:39, 2 July 2024 diff hist +259 Errata No edit summary
13 May 2024
- 16:5016:50, 13 May 2024 diff hist +67 Errata No edit summary
12 May 2024
- 20:3020:30, 12 May 2024 diff hist +151 Errata No edit summary
- 19:1019:10, 12 May 2024 diff hist +740 N Errata Created page with "This is the errata page for the ''Projective Geometric Algebra Illuminated''. To find out which printing you have, look on the copyright page. == First Printing == * '''Page 84.''' In Table 2.16, both bulk duals of $$\mathbf e_4$$ should be 0. * '''Page 156.''' The number of multiply-adds required for transforming a line with a motor did not include the work needed to calculate $$\mathbf a$$, $$\mathbf b$$, and $$\mathbf c$$. Each cross product adds 6 multiply-adds, s..."
- 01:3301:33, 12 May 2024 diff hist +40 Duals No edit summary
- 01:3101:31, 12 May 2024 diff hist 0 N File:Duals.svg No edit summary current
- 01:3101:31, 12 May 2024 diff hist +162 Duals No edit summary
- 01:3001:30, 12 May 2024 diff hist 0 File:Complements.svg Eric Lengyel uploaded a new version of File:Complements.svg current
4 May 2024
- 04:4904:49, 4 May 2024 diff hist +271 Exercises No edit summary current
- 04:4604:46, 4 May 2024 diff hist +487 Exercises No edit summary
- 04:3804:38, 4 May 2024 diff hist +202 Exercises No edit summary
- 04:3604:36, 4 May 2024 diff hist +961 Exercises No edit summary
29 April 2024
- 01:5301:53, 29 April 2024 diff hist +476 Exercises No edit summary
- 01:4801:48, 29 April 2024 diff hist +918 N Exercises Created page with "These are exercises accompanying the book [https://www.amazon.com/dp/B0CXY8C72T/?tag=terathon-20 ''Projective Geometric Algebra Illuminated'']. == Exercises for Chapter 2 == '''1.''' Show that Equation (2.35) properly constructs a line containing two points $$\mathbf p$$ and $$\mathbf q$$ with non-unit weights by considering $$\mathbf p / p_w \wedge \mathbf q / q_w$$ and then scaling by $$p_wq_w$$. '''2.''' Let $$\mathbf u$$ be a basis element of the 4D projective alg..."
21 April 2024
- 21:2821:28, 21 April 2024 diff hist +22 Main Page →Products and other binary operations
- 21:2821:28, 21 April 2024 diff hist 0 Euclidean angle No edit summary
- 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