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alexkritchevsky.com | ||
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terathon.com
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| | | | | [AI summary] The provided text is a detailed critique of the book 'Projective Geometric Algebra' by the authors, highlighting numerous errors and misunderstandings in their treatment of geometric algebra, particularly in areas such as norms, duality, and the Hodge dual. The author of the critique points out that the book's definitions and explanations are often incorrect, misleading, or based on flawed reasoning. Key issues include the misuse of the Hodge dual, incorrect definitions of norms, and a lack of understanding of fundamental concepts like operator duality and the relationship between different types of norms. The critique also addresses the authors' attempts to compare the efficiency of PGA operators with matrices, which are shown to be misleading.... | |
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www.shapeoperator.com
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| | | | | [AI summary] The text discusses the use of geometric algebra to solve a sunset problem posed by Robert Vanderbei, avoiding the need for angles. It highlights the advantages of geometric algebra over classical trigonometry, complex numbers, and other methods, emphasizing its coordinate-free nature and applicability to higher dimensions. The text also recommends resources for learning geometric algebra and mentions related problems and experiments for estimating Earth's size. | |
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www.reedbeta.com
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| | | | | Pixels and polygons and shaders, oh my! | |
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blog.scottnonnenberg.com
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| | | My functional journey started with Javascript techniques, grew as I briefly explored a few functional languages, then bloomed as I got comfortable with Elixir. Going further has finally defined... | ||