User contributions for Eric Lengyel
Jump to navigation
Jump to search
13 April 2024
- 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
- 01:4501:45, 13 April 2024 diff hist 0 N File:Metric-rga-3d.svg No edit summary current
- 01:4001:40, 13 April 2024 diff hist +14 Main Page →Various properties and unary operations
- 01:3601:36, 13 April 2024 diff hist +40 Duals No edit summary
12 April 2024
- 20:3920:39, 12 April 2024 diff hist +247 Complements No edit summary
- 06:2706:27, 12 April 2024 diff hist +12 Bulk and weight →See Also
- 06:2606:26, 12 April 2024 diff hist +12 Complements →See Also
- 06:2606:26, 12 April 2024 diff hist 0 Duals →See Also
- 06:2606:26, 12 April 2024 diff hist +669 Duals No edit summary
- 06:1806:18, 12 April 2024 diff hist +486 Duals No edit summary
- 06:1606:16, 12 April 2024 diff hist +19 N Dual Redirected page to Duals current Tag: New redirect
- 06:1506:15, 12 April 2024 diff hist +560 N 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..."
- 06:0906:09, 12 April 2024 diff hist +12 Main Page →Various properties and unary operations
8 April 2024
- 05:1605:16, 8 April 2024 diff hist −1,993 Rotation →Calculation current
- 05:1205:12, 8 April 2024 diff hist −2,051 Flector →Flector Transformations
- 05:0105:01, 8 April 2024 diff hist −2,112 Motor →Motor Transformations
5 April 2024
- 06:4506:45, 5 April 2024 diff hist 0 File:Groups.svg Eric Lengyel uploaded a new version of File:Groups.svg current
- 06:4306:43, 5 April 2024 diff hist 0 File:Duality.svg Eric Lengyel uploaded a new version of File:Duality.svg current
- 06:4106:41, 5 April 2024 diff hist 0 File:Improper isom.svg Eric Lengyel uploaded a new version of File:Improper isom.svg current
- 06:4106:41, 5 April 2024 diff hist 0 File:Proper isom.svg Eric Lengyel uploaded a new version of File:Proper isom.svg current
- 06:0306:03, 5 April 2024 diff hist 0 File:Line infinity.svg Eric Lengyel uploaded a new version of File:Line infinity.svg current
- 06:0306:03, 5 April 2024 diff hist 0 File:Line.svg Eric Lengyel uploaded a new version of File:Line.svg current
- 06:0306:03, 5 April 2024 diff hist +2 Plane No edit summary
- 06:0206:02, 5 April 2024 diff hist 0 File:Plane.svg Eric Lengyel uploaded a new version of File:Plane.svg current
- 06:0206:02, 5 April 2024 diff hist +2 Point No edit summary
- 06:0206:02, 5 April 2024 diff hist 0 File:Point.svg Eric Lengyel uploaded a new version of File:Point.svg current
28 February 2024
- 03:0003:00, 28 February 2024 diff hist 0 Reciprocal translation Undo revision 299 by Eric Lengyel (talk) current Tag: Undo
- 02:5702:57, 28 February 2024 diff hist 0 Reciprocal translation →Example Tag: Reverted
9 February 2024
- 01:0301:03, 9 February 2024 diff hist +10 Transflection No edit summary current
- 01:0201:02, 9 February 2024 diff hist +2 Flector No edit summary
- 01:0101:01, 9 February 2024 diff hist +2 Motor No edit summary
- 01:0101:01, 9 February 2024 diff hist +2 Line No edit summary
- 01:0001:00, 9 February 2024 diff hist +2 Geometric norm →See Also
- 01:0001:00, 9 February 2024 diff hist −13 Geometric constraint No edit summary
- 00:5900:59, 9 February 2024 diff hist +2 Main Page →Various properties and unary operations
- 00:5900:59, 9 February 2024 diff hist 0 m Geometric constraint Eric Lengyel moved page Geometric property to Geometric constraint without leaving a redirect
8 February 2024
- 10:1810:18, 8 February 2024 diff hist +77 Space-Antispace Transform Correspondence in Projective Geometric Algebra No edit summary current
- 10:1210:12, 8 February 2024 diff hist 0 Space-Antispace Transform Correspondence in Projective Geometric Algebra No edit summary
- 00:5200:52, 8 February 2024 diff hist +77 Translation No edit summary current
7 February 2024
- 23:3723:37, 7 February 2024 diff hist −8 Rotation No edit summary
1 February 2024
- 06:5106:51, 1 February 2024 diff hist 0 Reverses No edit summary
23 January 2024
- 02:1202:12, 23 January 2024 diff hist +2 Rigid Geometric Algebra for 2D Space →Geometric Products current
- 02:1102:11, 23 January 2024 diff hist 0 File:GeometricAntiproduct201.svg Eric Lengyel uploaded a new version of File:GeometricAntiproduct201.svg current
- 02:1102:11, 23 January 2024 diff hist 0 File:GeometricProduct201.svg Eric Lengyel uploaded a new version of File:GeometricProduct201.svg current
- 02:1002:10, 23 January 2024 diff hist −168 Exterior products No edit summary Tag: Manual revert
- 02:1002:10, 23 January 2024 diff hist 0 File:AntiwedgeProduct.svg Eric Lengyel uploaded a new version of File:AntiwedgeProduct.svg current
- 02:0902:09, 23 January 2024 diff hist 0 File:WedgeProduct.svg Eric Lengyel uploaded a new version of File:WedgeProduct.svg current
- 02:0902:09, 23 January 2024 diff hist 0 Main Page →Products and other binary operations
- 02:0802:08, 23 January 2024 diff hist −216 Geometric products No edit summary
- 02:0802:08, 23 January 2024 diff hist 0 File:GeometricAntiproduct.svg Eric Lengyel uploaded a new version of File:GeometricAntiproduct.svg current
- 02:0702:07, 23 January 2024 diff hist 0 File:GeometricProduct.svg Eric Lengyel uploaded a new version of File:GeometricProduct.svg current
22 January 2024
- 08:0108:01, 22 January 2024 diff hist 0 Reverses No edit summary
- 08:0108:01, 22 January 2024 diff hist 0 Complements No edit summary
- 08:0108:01, 22 January 2024 diff hist 0 File:Complements.svg Eric Lengyel uploaded a new version of File:Complements.svg
- 08:0008:00, 22 January 2024 diff hist 0 File:Reverses.svg Eric Lengyel uploaded a new version of File:Reverses.svg current
- 07:5807:58, 22 January 2024 diff hist +24 Main Page →Products and other binary operations
- 07:5707:57, 22 January 2024 diff hist +34 N Weight contraction Created page with "#REDIRECTION Interior products" current
- 07:5707:57, 22 January 2024 diff hist +34 N Bulk contraction Created page with "#REDIRECTION Interior products" current
- 07:5707:57, 22 January 2024 diff hist +34 N Bulk expansion Created page with "#REDIRECTION Interior products" current
- 07:5707:57, 22 January 2024 diff hist +34 N Weight expansion Created page with "#REDIRECTION Interior products" current
- 07:5607:56, 22 January 2024 diff hist +106 Interior products No edit summary
- 07:3607:36, 22 January 2024 diff hist 0 N File:Expansions.svg No edit summary current
- 07:3507:35, 22 January 2024 diff hist 0 N File:Constractions.svg No edit summary current
21 January 2024
- 22:0222:02, 21 January 2024 diff hist −97 Dot products No edit summary
- 21:5921:59, 21 January 2024 diff hist 0 N File:Dots.svg No edit summary current
- 21:5521:55, 21 January 2024 diff hist +12 Geometric products No edit summary
- 21:5421:54, 21 January 2024 diff hist +216 Geometric products No edit summary
- 21:5421:54, 21 January 2024 diff hist 0 File:GeometricAntiproduct.svg Eric Lengyel uploaded a new version of File:GeometricAntiproduct.svg
- 21:5421:54, 21 January 2024 diff hist 0 File:GeometricProduct.svg Eric Lengyel uploaded a new version of File:GeometricProduct.svg
- 21:5121:51, 21 January 2024 diff hist +168 Exterior products No edit summary Tag: Reverted
- 21:4821:48, 21 January 2024 diff hist 0 File:AntiwedgeProduct.svg Eric Lengyel uploaded a new version of File:AntiwedgeProduct.svg
- 21:4721:47, 21 January 2024 diff hist 0 File:WedgeProduct.svg Eric Lengyel uploaded a new version of File:WedgeProduct.svg
- 21:4321:43, 21 January 2024 diff hist 0 File:Basis.svg Eric Lengyel uploaded a new version of File:Basis.svg current
10 January 2024
- 08:1808:18, 10 January 2024 diff hist 0 Rigid Geometric Algebra for 2D Space →Flectors
- 00:4900:49, 10 January 2024 diff hist +71 Reverses No edit summary
1 January 2024
- 05:1005:10, 1 January 2024 diff hist +212 Space-Antispace Transform Correspondence in Projective Geometric Algebra No edit summary
2 December 2023
25 November 2023
- 08:1208:12, 25 November 2023 diff hist +3 Magnitude No edit summary current
26 October 2023
- 20:3420:34, 26 October 2023 diff hist +60 Join and meet No edit summary current
23 October 2023
- 07:3507:35, 23 October 2023 diff hist +7 Dot products No edit summary
- 07:3407:34, 23 October 2023 diff hist 0 Main Page No edit summary
- 07:3207:32, 23 October 2023 diff hist 0 N File:Plane connect line.svg No edit summary current
- 07:3207:32, 23 October 2023 diff hist 0 N File:Line connect point.svg No edit summary current
- 07:3107:31, 23 October 2023 diff hist 0 N File:Plane connect point.svg No edit summary current
- 07:3107:31, 23 October 2023 diff hist −12 Join and meet No edit summary
- 07:2807:28, 23 October 2023 diff hist +16 Join and meet No edit summary
- 07:2407:24, 23 October 2023 diff hist 0 Geometric constraint No edit summary
- 07:2307:23, 23 October 2023 diff hist 0 Geometric norm No edit summary
- 07:2007:20, 23 October 2023 diff hist 0 Attitude No edit summary
- 07:1907:19, 23 October 2023 diff hist 0 Unitization No edit summary
- 07:1507:15, 23 October 2023 diff hist −4 Bulk and weight No edit summary
- 07:1507:15, 23 October 2023 diff hist +125 Bulk and weight No edit summary
- 07:0207:02, 23 October 2023 diff hist 0 Complements No edit summary
- 07:0107:01, 23 October 2023 diff hist 0 File:Complements.svg Eric Lengyel uploaded a new version of File:Complements.svg
- 06:5406:54, 23 October 2023 diff hist 0 File:Complements.svg Eric Lengyel uploaded a new version of File:Complements.svg
- 06:0706:07, 23 October 2023 diff hist −3,459 Complements No edit summary
- 02:2502:25, 23 October 2023 diff hist +1 Projective Geometric Algebra Done Right No edit summary current
19 October 2023
- 06:0906:09, 19 October 2023 diff hist +205 Projections No edit summary
- 01:2801:28, 19 October 2023 diff hist −24 Main Page →Pages