User contributions for Eric Lengyel
Jump to navigation
Jump to search
1 May 2024
- 01:3601:36, 1 May 2024 diff hist +156 Symmetries in Projective Geometric Algebra No edit summary current
29 April 2024
- 01:5301:53, 29 April 2024 diff hist +476 Exercises No edit summary current
- 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 current
- 21:2821:28, 21 April 2024 diff hist 0 Euclidean angle No edit summary current
- 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 current
- 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 current
- 23:5123:51, 13 April 2024 diff hist +92 Flector No edit summary current
- 23:5123:51, 13 April 2024 diff hist +86 Motor No edit summary current
- 23:5023:50, 13 April 2024 diff hist +73 Plane No edit summary current
- 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 current
- 23:3323:33, 13 April 2024 diff hist 0 Geometric constraint No edit summary current