User contributions for Eric Lengyel
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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