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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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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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tiao.io
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| | | An in-depth practical guide to variational encoders from a probabilistic perspective. | ||
