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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 | ||||