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Show new changes starting from 19:48, 4 May 2024

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4 May 2024

			04:49		Exercises‎‎ 4 changes history +1,921‎ [Eric Lengyel‎ (4×)]
					04:49 (cur \| prev) +271‎ Eric Lengyel talk contribs
					04:46 (cur \| prev) +487‎ Eric Lengyel talk contribs
					04:38 (cur \| prev) +202‎ Eric Lengyel talk contribs
					04:36 (cur \| prev) +961‎ Eric Lengyel talk contribs

1 May 2024

01:36

Symmetries in Projective Geometric Algebra‎ diffhist +156‎ Eric Lengyel talk contribs

29 April 2024

			N 01:53		Exercises‎‎ 2 changes history +1,394‎ [Eric Lengyel‎ (2×)]
					01:53 (cur \| prev) +476‎ Eric Lengyel talk contribs
			N		01:48 (cur \| prev) +918‎ Eric Lengyel talk contribs (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

21:28

Main Page‎ diffhist +22‎ Eric Lengyel talk contribs (→‎Products and other binary operations)

			N 21:28		Euclidean angle‎‎ 2 changes history +3,083‎ [Eric Lengyel‎ (2×)]
					21:28 (cur \| prev) 0‎ Eric Lengyel talk contribs
			N		21:27 (cur \| prev) +3,083‎ Eric Lengyel talk contribs (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		(Upload log)‎ [Eric Lengyel‎ (3×)]
					21:27 Eric Lengyel talk contribs uploaded File:Angle line line.svg ‎
					21:27 Eric Lengyel talk contribs uploaded File:Angle plane line.svg ‎
					21:27 Eric Lengyel talk contribs uploaded File:Angle plane plane.svg ‎

			21:15		Euclidean distance‎‎ 2 changes history +309‎ [Eric Lengyel‎ (2×)]
					21:15 (cur \| prev) +22‎ Eric Lengyel talk contribs
					21:15 (cur \| prev) +287‎ Eric Lengyel talk contribs

13 April 2024

23:52

Transformation groups‎ diffhist +76‎ Eric Lengyel talk contribs

23:51

Flector‎ diffhist +92‎ Eric Lengyel talk contribs

23:51

Motor‎ diffhist +86‎ Eric Lengyel talk contribs

23:50

Plane‎ diffhist +73‎ Eric Lengyel talk contribs

23:50

Line‎ diffhist +71‎ Eric Lengyel talk contribs

23:49

Point‎ diffhist +73‎ Eric Lengyel talk contribs

			23:33		Duality‎‎ 2 changes history +70‎ [Eric Lengyel‎ (2×)]
					23:33 (cur \| prev) 0‎ Eric Lengyel talk contribs
					05:16 (cur \| prev) +70‎ Eric Lengyel talk contribs

			23:33		Unitization‎‎ 2 changes history +66‎ [Eric Lengyel‎ (2×)]
					23:33 (cur \| prev) 0‎ Eric Lengyel talk contribs
					05:15 (cur \| prev) +66‎ Eric Lengyel talk contribs

			23:33		Geometric constraint‎‎ 2 changes history +78‎ [Eric Lengyel‎ (2×)]
					23:33 (cur \| prev) 0‎ Eric Lengyel talk contribs
					05:14 (cur \| prev) +78‎ Eric Lengyel talk contribs

			23:32		Geometric norm‎‎ 2 changes history +71‎ [Eric Lengyel‎ (2×)]
					23:32 (cur \| prev) 0‎ Eric Lengyel talk contribs
					05:14 (cur \| prev) +71‎ Eric Lengyel talk contribs

			23:32		Reverses‎‎ 2 changes history +79‎ [Eric Lengyel‎ (2×)]
					23:32 (cur \| prev) 0‎ Eric Lengyel talk contribs
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			23:32		Duals‎‎ 4 changes history +1,193‎ [Eric Lengyel‎ (4×)]
					23:32 (cur \| prev) 0‎ Eric Lengyel talk contribs
					05:05 (cur \| prev) +1,145‎ Eric Lengyel talk contribs
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			23:32		Bulk and weight‎‎ 3 changes history +78‎ [Eric Lengyel‎ (3×)]
					23:32 (cur \| prev) 0‎ Eric Lengyel talk contribs
					05:08 (cur \| prev) +71‎ Eric Lengyel talk contribs
					01:54 (cur \| prev) +7‎ Eric Lengyel talk contribs

			N 23:31		Metrics‎‎ 5 changes history +1,252‎ [Eric Lengyel‎ (5×)]
					23:31 (cur \| prev) 0‎ Eric Lengyel talk contribs
					05:08 (cur \| prev) +13‎ Eric Lengyel talk contribs (→‎In the Book)
					05:07 (cur \| prev) +79‎ Eric Lengyel talk contribs
					01:53 (cur \| prev) +486‎ Eric Lengyel talk contribs
			N		01:48 (cur \| prev) +674‎ Eric Lengyel talk contribs (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...")

			23:31		Complements‎‎ 2 changes history +65‎ [Eric Lengyel‎ (2×)]
					23:31 (cur \| prev) 0‎ Eric Lengyel talk contribs
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			23:31		Grade and antigrade‎‎ 2 changes history +75‎ [Eric Lengyel‎ (2×)]
					23:31 (cur \| prev) 0‎ Eric Lengyel talk contribs
					05:10 (cur \| prev) +75‎ Eric Lengyel talk contribs

23:30

Euclidean distance‎ diffhist −40‎ Eric Lengyel talk contribs

23:28

Projections‎ diffhist +68‎ Eric Lengyel talk contribs

23:27

Interior products‎ diffhist +102‎ Eric Lengyel talk contribs

N 23:27

Weight dual‎ diffhist +19‎ Eric Lengyel talk contribs (Redirected page to Duals) Tag: New redirect

N 23:27

Bulk dual‎ diffhist +19‎ Eric Lengyel talk contribs (Redirected page to Duals) Tag: New redirect

			23:26		Dot products‎‎ 2 changes history +97‎ [Eric Lengyel‎ (2×)]
					23:26 (cur \| prev) +89‎ Eric Lengyel talk contribs
					01:53 (cur \| prev) +8‎ Eric Lengyel talk contribs

23:25

Geometric products‎ diffhist −202‎ Eric Lengyel talk contribs

23:24

Exterior products‎ diffhist −153‎ Eric Lengyel talk contribs

05:13

Attitude‎ diffhist +66‎ Eric Lengyel talk contribs

N 01:54

Metric antiexomorphism matrix‎ diffhist +21‎ Eric Lengyel talk contribs (Redirected page to Metrics) Tag: New redirect

N 01:53

Metric exomorphism matrix‎ diffhist +21‎ Eric Lengyel talk contribs (Redirected page to Metrics) Tag: New redirect

			01:48		(Upload log)‎ [Eric Lengyel‎ (2×)]
					01:48 Eric Lengyel talk contribs uploaded File:Antimetric-rga-3d.svg ‎
					01:45 Eric Lengyel talk contribs uploaded File:Metric-rga-3d.svg ‎

01:40

Main Page‎ diffhist +14‎ Eric Lengyel talk contribs (→‎Various properties and unary operations)

12 April 2024

			20:39		Complements‎‎ 2 changes history +259‎ [Eric Lengyel‎ (2×)]
					20:39 (cur \| prev) +247‎ Eric Lengyel talk contribs
					06:26 (cur \| prev) +12‎ Eric Lengyel talk contribs (→‎See Also)

06:27

Bulk and weight‎ diffhist +12‎ Eric Lengyel talk contribs (→‎See Also)

			N 06:26		Duals‎‎ 4 changes history +1,715‎ [Eric Lengyel‎ (4×)]
					06:26 (cur \| prev) 0‎ Eric Lengyel talk contribs (→‎See Also)
					06:26 (cur \| prev) +669‎ Eric Lengyel talk contribs
					06:18 (cur \| prev) +486‎ Eric Lengyel talk contribs
			N		06:15 (cur \| prev) +560‎ Eric Lengyel talk contribs (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...")

N 06:16

Dual‎ diffhist +19‎ Eric Lengyel talk contribs (Redirected page to Duals) Tag: New redirect

06:09

Main Page‎ diffhist +12‎ Eric Lengyel talk contribs (→‎Various properties and unary operations)

8 April 2024

05:16

Rotation‎ diffhist −1,993‎ Eric Lengyel talk contribs (→‎Calculation)

05:12

Flector‎ diffhist −2,051‎ Eric Lengyel talk contribs (→‎Flector Transformations)

05:01

Motor‎ diffhist −2,112‎ Eric Lengyel talk contribs (→‎Motor Transformations)

5 April 2024

			06:45		(Deletion log)‎ [Eric Lengyel‎ (8×)]
					06:45 Eric Lengyel talk contribs deleted page File:Groups.svg ‎(Deleted old revision 20240405064511!Groups.svg)
					06:43 Eric Lengyel talk contribs deleted page File:Duality.svg ‎(Deleted old revision 20240405064301!Duality.svg)
					06:41 Eric Lengyel talk contribs deleted page File:Improper isom.svg ‎(Deleted old revision 20240405064147!Improper_isom.svg)
					06:41 Eric Lengyel talk contribs deleted page File:Proper isom.svg ‎(Deleted old revision 20240405064103!Proper_isom.svg)
					06:03 Eric Lengyel talk contribs deleted page File:Line infinity.svg ‎(Deleted old revision 20240405060354!Line_infinity.svg)
					06:03 Eric Lengyel talk contribs deleted page File:Line.svg ‎(Deleted old revision 20240405060328!Line.svg)
					06:02 Eric Lengyel talk contribs deleted page File:Plane.svg ‎(Deleted old revision 20240405060254!Plane.svg)
					06:02 Eric Lengyel talk contribs deleted page File:Point.svg ‎(Deleted old revision 20240405060200!Point.svg)

			06:45		(Upload log)‎ [Eric Lengyel‎ (8×)]
					06:45 Eric Lengyel talk contribs uploaded a new version of File:Groups.svg ‎
					06:43 Eric Lengyel talk contribs uploaded a new version of File:Duality.svg ‎
					06:41 Eric Lengyel talk contribs uploaded a new version of File:Improper isom.svg ‎
					06:41 Eric Lengyel talk contribs uploaded a new version of File:Proper isom.svg ‎
					06:03 Eric Lengyel talk contribs uploaded a new version of File:Line infinity.svg ‎
					06:03 Eric Lengyel talk contribs uploaded a new version of File:Line.svg ‎
					06:02 Eric Lengyel talk contribs uploaded a new version of File:Plane.svg ‎
					06:02 Eric Lengyel talk contribs uploaded a new version of File:Point.svg ‎

06:03

Plane‎ diffhist +2‎ Eric Lengyel talk contribs

06:02

Point‎ diffhist +2‎ Eric Lengyel talk contribs

Namespace:	Invert selection Associated namespace
Tag filter:	Invert selection

			04:49		Exercises‎‎ 4 changes history +1,921‎ [Eric Lengyel‎ (4×)]
					04:49 (cur \| prev) +271‎ Eric Lengyel talk contribs
					04:46 (cur \| prev) +487‎ Eric Lengyel talk contribs
					04:38 (cur \| prev) +202‎ Eric Lengyel talk contribs
					04:36 (cur \| prev) +961‎ Eric Lengyel talk contribs

			23:32		Duals‎‎ 4 changes history +1,193‎ [Eric Lengyel‎ (4×)]
					23:32 (cur \| prev) 0‎ Eric Lengyel talk contribs
					05:05 (cur \| prev) +1,145‎ Eric Lengyel talk contribs
					01:54 (cur \| prev) +8‎ Eric Lengyel talk contribs
					01:36 (cur \| prev) +40‎ Eric Lengyel talk contribs

			23:32		Bulk and weight‎‎ 3 changes history +78‎ [Eric Lengyel‎ (3×)]
					23:32 (cur \| prev) 0‎ Eric Lengyel talk contribs
					05:08 (cur \| prev) +71‎ Eric Lengyel talk contribs
					01:54 (cur \| prev) +7‎ Eric Lengyel talk contribs

			N 23:31		Metrics‎‎ 5 changes history +1,252‎ [Eric Lengyel‎ (5×)]
					23:31 (cur \| prev) 0‎ Eric Lengyel talk contribs
					05:08 (cur \| prev) +13‎ Eric Lengyel talk contribs (→‎In the Book)
					05:07 (cur \| prev) +79‎ Eric Lengyel talk contribs
					01:53 (cur \| prev) +486‎ Eric Lengyel talk contribs
			N		01:48 (cur \| prev) +674‎ Eric Lengyel talk contribs (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...")