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mattferraro.dev | ||
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alexkritchevsky.com
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| | | | | [AI summary] The article critiques Geometric Algebra (GA) for its reliance on the geometric product, which the author finds problematic for most purposes. The author argues that GA's focus on complexifying vector algebra to resemble complex numbers and quaternions is unnecessary and confusing. Instead, the author advocates for a simpler approach using exterior algebra and wedge products, emphasizing clarity and intuition over abstract algebraic structures. The author also mentions the philosophical and pedagogical issues with GA, such as its conflation of operators and primitives, and the cultural baggage associated with the term 'Geometric Algebra.' The article concludes by suggesting that while GA has value as an implementation detail, it should not be see... | |
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www.reedbeta.com
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| | | | | When you read BRDF theory papers, you'll often see mention of slope space. Sometimes, components of the BRDF such as NDFs or masking-shadowing functions are defined in slope space, or operations are done in slope space before being converted back to ordinary vectors or polar coordinates. However, the meaning and intuition of slope space is rarely explained. Since it may not be obvious exactly what slope space is, why it is useful, or how to transform things to and from it, I thought I would write down a ... | |
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alexop.dev
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| | | | | Learn the fundamental mathematical notations that form the building blocks of mathematical communication, from basic symbols to calculus notation. | |
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blogs.mathworks.com
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| | | I'd like to introduce this week's guest blogger Alan Weiss. Alan writes documentation for mathematical toolboxes here at MathWorks.Hi, folks. While I have not | ||
