All public logs
Jump to navigation
Jump to search
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).
- 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$$ matrix shown below. 420px The ''metri...")
- 01:48, 13 April 2024 Eric Lengyel talk contribs created page File:Antimetric-rga-3d.svg
- 01:48, 13 April 2024 Eric Lengyel talk contribs uploaded File:Antimetric-rga-3d.svg
- 01:45, 13 April 2024 Eric Lengyel talk contribs created page File:Metric-rga-3d.svg
- 01:45, 13 April 2024 Eric Lengyel talk contribs uploaded File:Metric-rga-3d.svg
- 06:16, 12 April 2024 Eric Lengyel talk contribs created page Dual (Redirected page to Duals) Tag: New redirect
- 06:15, 12 April 2024 Eric Lengyel talk contribs created page Duals (Created page with "The ''metric dual'' or just "dual" of an object $$\mathbf u$$ is denoted by $$\mathbf u^\unicode["segoe ui symbol"]{x2605}$$ and defined as :$$\mathbf u^\unicode["segoe ui symbol"]{x2605} = \overline{\mathbf{Gu}}$$ , where $$\mathbf G$$ is the extended metric tensor. The ''metric antidual'' or just "antidual" of an object $$\mathbf u$$ is denoted by $$\mathbf u^\unicode["segoe ui symbol"]{x2606}$$ and defined as :$$\mathbf u^\unicode["segoe ui symbol"]{x2606} = \over...")
- 06:45, 5 April 2024 Eric Lengyel talk contribs deleted page File:Groups.svg (Deleted old revision 20240405064511!Groups.svg)
- 06:45, 5 April 2024 Eric Lengyel talk contribs uploaded a new version of File:Groups.svg
- 06:43, 5 April 2024 Eric Lengyel talk contribs deleted page File:Duality.svg (Deleted old revision 20240405064301!Duality.svg)
- 06:43, 5 April 2024 Eric Lengyel talk contribs uploaded a new version of File:Duality.svg
- 06:41, 5 April 2024 Eric Lengyel talk contribs deleted page File:Improper isom.svg (Deleted old revision 20240405064147!Improper_isom.svg)
- 06:41, 5 April 2024 Eric Lengyel talk contribs uploaded a new version of File:Improper isom.svg
- 06:41, 5 April 2024 Eric Lengyel talk contribs deleted page File:Proper isom.svg (Deleted old revision 20240405064103!Proper_isom.svg)
- 06:41, 5 April 2024 Eric Lengyel talk contribs uploaded a new version of File:Proper isom.svg
- 06:03, 5 April 2024 Eric Lengyel talk contribs deleted page File:Line infinity.svg (Deleted old revision 20240405060354!Line_infinity.svg)
- 06:03, 5 April 2024 Eric Lengyel talk contribs uploaded a new version of File:Line infinity.svg
- 06:03, 5 April 2024 Eric Lengyel talk contribs deleted page File:Line.svg (Deleted old revision 20240405060328!Line.svg)
- 06:03, 5 April 2024 Eric Lengyel talk contribs uploaded a new version of File:Line.svg
- 06:02, 5 April 2024 Eric Lengyel talk contribs deleted page File:Plane.svg (Deleted old revision 20240405060254!Plane.svg)
- 06:02, 5 April 2024 Eric Lengyel talk contribs uploaded a new version of File:Plane.svg
- 06:02, 5 April 2024 Eric Lengyel talk contribs deleted page File:Point.svg (Deleted old revision 20240405060200!Point.svg)
- 06:02, 5 April 2024 Eric Lengyel talk contribs uploaded a new version of File:Point.svg
- 00:59, 9 February 2024 Eric Lengyel talk contribs moved page Geometric property to Geometric constraint without leaving a redirect
- 02:12, 23 January 2024 Eric Lengyel talk contribs deleted page File:GeometricAntiproduct201.svg (Deleted old revision 20240123021158!GeometricAntiproduct201.svg)
- 02:11, 23 January 2024 Eric Lengyel talk contribs uploaded a new version of File:GeometricAntiproduct201.svg
- 02:11, 23 January 2024 Eric Lengyel talk contribs deleted page File:GeometricProduct201.svg (Deleted old revision 20240123021134!GeometricProduct201.svg)
- 02:11, 23 January 2024 Eric Lengyel talk contribs uploaded a new version of File:GeometricProduct201.svg
- 02:10, 23 January 2024 Eric Lengyel talk contribs deleted page File:AntiwedgeProduct.svg (Deleted old revision 20240123021002!AntiwedgeProduct.svg)
- 02:10, 23 January 2024 Eric Lengyel talk contribs uploaded a new version of File:AntiwedgeProduct.svg
- 02:09, 23 January 2024 Eric Lengyel talk contribs deleted page File:WedgeProduct.svg (Deleted old revision 20240123020946!WedgeProduct.svg)
- 02:09, 23 January 2024 Eric Lengyel talk contribs uploaded a new version of File:WedgeProduct.svg
- 02:08, 23 January 2024 Eric Lengyel talk contribs deleted page File:GeometricAntiproduct.svg (Deleted old revision 20240123020801!GeometricAntiproduct.svg)
- 02:08, 23 January 2024 Eric Lengyel talk contribs uploaded a new version of File:GeometricAntiproduct.svg
- 02:07, 23 January 2024 Eric Lengyel talk contribs deleted page File:GeometricProduct.svg (Deleted old revision 20240123020734!GeometricProduct.svg)
- 02:07, 23 January 2024 Eric Lengyel talk contribs uploaded a new version of File:GeometricProduct.svg
- 08:01, 22 January 2024 Eric Lengyel talk contribs deleted page File:Complements.svg (Deleted old revision 20240122080107!Complements.svg)
- 08:01, 22 January 2024 Eric Lengyel talk contribs uploaded a new version of File:Complements.svg
- 08:00, 22 January 2024 Eric Lengyel talk contribs deleted page File:Reverses.svg (Deleted old revision 20240122080005!Reverses.svg)
- 08:00, 22 January 2024 Eric Lengyel talk contribs uploaded a new version of File:Reverses.svg
- 07:57, 22 January 2024 Eric Lengyel talk contribs created page Weight contraction (Created page with "#REDIRECTION Interior products")
- 07:57, 22 January 2024 Eric Lengyel talk contribs created page Bulk contraction (Created page with "#REDIRECTION Interior products")
- 07:57, 22 January 2024 Eric Lengyel talk contribs created page Bulk expansion (Created page with "#REDIRECTION Interior products")
- 07:57, 22 January 2024 Eric Lengyel talk contribs created page Weight expansion (Created page with "#REDIRECTION Interior products")
- 07:56, 22 January 2024 Eric Lengyel talk contribs deleted page File:InteriorAntiproduct.svg
- 07:56, 22 January 2024 Eric Lengyel talk contribs deleted page File:InteriorProduct.svg
- 07:36, 22 January 2024 Eric Lengyel talk contribs created page File:Expansions.svg
- 07:36, 22 January 2024 Eric Lengyel talk contribs uploaded File:Expansions.svg
- 07:35, 22 January 2024 Eric Lengyel talk contribs created page File:Constractions.svg
- 07:35, 22 January 2024 Eric Lengyel talk contribs uploaded File:Constractions.svg
- 21:59, 21 January 2024 Eric Lengyel talk contribs created page File:Dots.svg
- 21:59, 21 January 2024 Eric Lengyel talk contribs uploaded File:Dots.svg
- 21:57, 21 January 2024 Eric Lengyel talk contribs deleted page File:AntidotProduct.svg
- 21:57, 21 January 2024 Eric Lengyel talk contribs deleted page File:DotProduct.svg
- 21:54, 21 January 2024 Eric Lengyel talk contribs deleted page File:GeometricAntiproduct.svg (Deleted old revision 20240121215421!GeometricAntiproduct.svg)
- 21:54, 21 January 2024 Eric Lengyel talk contribs uploaded a new version of File:GeometricAntiproduct.svg
- 21:54, 21 January 2024 Eric Lengyel talk contribs deleted page File:GeometricProduct.svg (Deleted old revision 20240121215401!GeometricProduct.svg)
- 21:54, 21 January 2024 Eric Lengyel talk contribs uploaded a new version of File:GeometricProduct.svg
- 21:48, 21 January 2024 Eric Lengyel talk contribs deleted page File:AntiwedgeProduct.svg (Deleted old revision 20240121214810!AntiwedgeProduct.svg)
- 21:48, 21 January 2024 Eric Lengyel talk contribs uploaded a new version of File:AntiwedgeProduct.svg
- 21:47, 21 January 2024 Eric Lengyel talk contribs deleted page File:WedgeProduct.svg (Deleted old revision 20240121214726!WedgeProduct.svg)
- 21:47, 21 January 2024 Eric Lengyel talk contribs uploaded a new version of File:WedgeProduct.svg
- 21:43, 21 January 2024 Eric Lengyel talk contribs deleted page File:Basis.svg (Deleted old revision 20240121214319!Basis.svg)
- 21:43, 21 January 2024 Eric Lengyel talk contribs uploaded a new version of File:Basis.svg
- 07:44, 23 October 2023 Eric Lengyel talk contribs deleted page File:AntidotProduct.svg (Deleted old revision 20231023074433!AntidotProduct.svg)
- 07:44, 23 October 2023 Eric Lengyel talk contribs uploaded a new version of File:AntidotProduct.svg
- 07:44, 23 October 2023 Eric Lengyel talk contribs deleted page File:DotProduct.svg (Deleted old revision 20231023074416!DotProduct.svg)
- 07:44, 23 October 2023 Eric Lengyel talk contribs uploaded a new version of File:DotProduct.svg
- 07:32, 23 October 2023 Eric Lengyel talk contribs created page File:Plane connect line.svg
- 07:32, 23 October 2023 Eric Lengyel talk contribs uploaded File:Plane connect line.svg
- 07:32, 23 October 2023 Eric Lengyel talk contribs created page File:Line connect point.svg
- 07:32, 23 October 2023 Eric Lengyel talk contribs uploaded File:Line connect point.svg
- 07:31, 23 October 2023 Eric Lengyel talk contribs created page File:Plane connect point.svg
- 07:31, 23 October 2023 Eric Lengyel talk contribs uploaded File:Plane connect point.svg
- 07:31, 23 October 2023 Eric Lengyel talk contribs deleted page File:Plane weight join line.svg
- 07:30, 23 October 2023 Eric Lengyel talk contribs deleted page File:Line weight join point.svg
- 07:30, 23 October 2023 Eric Lengyel talk contribs deleted page File:Plane weight join point.svg
- 07:01, 23 October 2023 Eric Lengyel talk contribs deleted page File:Complements.svg (Deleted old revision 20231023070104!Complements.svg)
- 07:01, 23 October 2023 Eric Lengyel talk contribs uploaded a new version of File:Complements.svg
- 06:54, 23 October 2023 Eric Lengyel talk contribs deleted page File:Complements.svg (Deleted old revision 20231023065433!Complements.svg)
- 06:54, 23 October 2023 Eric Lengyel talk contribs uploaded a new version of File:Complements.svg
- 00:49, 27 August 2023 Eric Lengyel talk contribs created page File:Plane onto line.svg
- 00:49, 27 August 2023 Eric Lengyel talk contribs uploaded File:Plane onto line.svg
- 00:49, 27 August 2023 Eric Lengyel talk contribs created page File:Line onto point.svg
- 00:49, 27 August 2023 Eric Lengyel talk contribs uploaded File:Line onto point.svg
- 00:49, 27 August 2023 Eric Lengyel talk contribs created page File:Plane onto point.svg
- 00:49, 27 August 2023 Eric Lengyel talk contribs uploaded File:Plane onto point.svg
- 00:49, 27 August 2023 Eric Lengyel talk contribs created page File:Line onto plane.svg