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Combined display of all available logs of Rigid Geometric Algebra. You can narrow down the view by selecting a log type, the username (case-sensitive), or the affected page (also case-sensitive).
- 19:10, 12 May 2024 Eric Lengyel talk contribs created page 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...")
- 01:31, 12 May 2024 Eric Lengyel talk contribs created page File:Duals.svg
- 01:31, 12 May 2024 Eric Lengyel talk contribs uploaded File:Duals.svg
- 01:30, 12 May 2024 Eric Lengyel talk contribs deleted page File:Complements.svg (Deleted old revision 20240512013015!Complements.svg)
- 01:30, 12 May 2024 Eric Lengyel talk contribs uploaded a new version of File:Complements.svg
- 01:48, 29 April 2024 Eric Lengyel talk contribs created page 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...")
- 21:27, 21 April 2024 Eric Lengyel talk contribs created page 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 $$\mathbf b...")
- 21:27, 21 April 2024 Eric Lengyel talk contribs created page File:Angle line line.svg
- 21:27, 21 April 2024 Eric Lengyel talk contribs uploaded File:Angle line line.svg
- 21:27, 21 April 2024 Eric Lengyel talk contribs created page File:Angle plane line.svg
- 21:27, 21 April 2024 Eric Lengyel talk contribs uploaded File:Angle plane line.svg
- 21:27, 21 April 2024 Eric Lengyel talk contribs created page File:Angle plane plane.svg
- 21:27, 21 April 2024 Eric Lengyel talk contribs uploaded File:Angle plane plane.svg
- 23:27, 13 April 2024 Eric Lengyel talk contribs created page Weight dual (Redirected page to Duals) Tag: New redirect
- 23:27, 13 April 2024 Eric Lengyel talk contribs created page Bulk dual (Redirected page to Duals) Tag: New redirect
- 01:54, 13 April 2024 Eric Lengyel talk contribs created page Metric antiexomorphism matrix (Redirected page to Metrics) Tag: New redirect
- 01:53, 13 April 2024 Eric Lengyel talk contribs created page Metric exomorphism matrix (Redirected page to Metrics) Tag: New redirect
- 01:48, 13 April 2024 Eric Lengyel talk contribs created page Metrics (Created page with "The ''metric'' used in the 4D rigid geometric algebra over 3D Euclidean space is the $$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...")
- 01:48, 13 April 2024 Eric Lengyel talk contribs created page File:Antimetric-rga-3d.svg
- 01:48, 13 April 2024 Eric Lengyel talk contribs uploaded File:Antimetric-rga-3d.svg