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mattferraro.dev | ||
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thenumb.at
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| | | | | [AI summary] The text discusses the representation of functions as vectors and their applications in various domains such as signal processing, geometry, and physics. It explains how functions can be treated as vectors in a vector space, leading to the concept of eigenfunctions and eigenvalues, which are crucial for understanding and manipulating signals and geometries. The text also covers different types of Laplacians, including the standard Laplacian, higher-dimensional Laplacians, and the Laplace-Beltrami operator, and their applications in fields like image compression, computer graphics, and quantum mechanics. The discussion includes spherical harmonics, which are used in representing functions on spheres, and their applications in game engines and glo... | |
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www.reedbeta.com
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| | | | | Pixels and polygons and shaders, oh my! | |
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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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blog.scottlogic.com
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| | | Recently I've been learning about Neural Networks and how they work. In this blog post I write a simple introduction in to some of the core concepts of a basic layered neural network. | ||
