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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.eigentales.com
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| | | | | The factor graph is a beautiful tool for visualizating complex matrix operations and understanding tensor networks, as well as proving seemingly complicated properties through simple visual proofs. | |
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andrewkchan.dev
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| | | | | [AI summary] The text provides an in-depth explanation of simulating fluids and fire using computational methods. It covers topics like Navier-Stokes equations, vorticity confinement, curl noise turbulence, combustion models, thermal buoyancy, and rendering techniques. The discussion includes both theoretical foundations and practical implementations using GPU-based simulations. The text also touches on advanced topics like dynamic obstacles and non-grid-based simulation methods. | |
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www.analyticsvidhya.com
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| | | Explore convolutional neural networks in this course. Learn foundational concepts, advanced models, and applications like face recognition. | ||