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13 May 2024
12 May 2024
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N 20:30 | Errata 2 changes history +891 [Eric Lengyel (2×)] | |||
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20:30 (cur | prev) +151 Eric Lengyel talk contribs | ||||
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19:10 (cur | prev) +740 Eric Lengyel talk contribs (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...") | |||
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01:33 | Duals 2 changes history +202 [Eric Lengyel (2×)] | |||
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01:33 (cur | prev) +40 Eric Lengyel talk contribs | ||||
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01:31 (cur | prev) +162 Eric Lengyel talk contribs | ||||
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01:31 | (Upload log) [Eric Lengyel (2×)] | |||
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01:31 Eric Lengyel talk contribs uploaded File:Duals.svg | ||||
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01:30 Eric Lengyel talk contribs uploaded a new version of File:Complements.svg | ||||
| 01:30 | Deletion log Eric Lengyel talk contribs deleted page File:Complements.svg (Deleted old revision 20240512013015!Complements.svg) | ||||
4 May 2024
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04:49 | Exercises 4 changes history +1,921 [Eric Lengyel (4×)] | |||
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04:49 (cur | prev) +271 Eric Lengyel talk contribs | ||||
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04:46 (cur | prev) +487 Eric Lengyel talk contribs | ||||
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04:38 (cur | prev) +202 Eric Lengyel talk contribs | ||||
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04:36 (cur | prev) +961 Eric Lengyel talk contribs | ||||
1 May 2024
29 April 2024
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N 01:53 | Exercises 2 changes history +1,394 [Eric Lengyel (2×)] | |||
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01:53 (cur | prev) +476 Eric Lengyel talk contribs | ||||
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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) | ||||
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N 21:28 | Euclidean angle 2 changes history +3,083 [Eric Lengyel (2×)] | |||
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21:28 (cur | prev) 0 Eric Lengyel talk contribs | ||||
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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...") | |||
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21:27 | (Upload log) [Eric Lengyel (3×)] | |||
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21:27 Eric Lengyel talk contribs uploaded File:Angle line line.svg | ||||
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21:27 Eric Lengyel talk contribs uploaded File:Angle plane line.svg | ||||
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21:27 Eric Lengyel talk contribs uploaded File:Angle plane plane.svg | ||||
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21:15 | Euclidean distance 2 changes history +309 [Eric Lengyel (2×)] | |||
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21:15 (cur | prev) +22 Eric Lengyel talk contribs | ||||
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21:15 (cur | prev) +287 Eric Lengyel talk contribs | ||||