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francisbach.com | ||
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www.jeremykun.com
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| | | | | In our last primer we looked at a number of interesting examples of metric spaces, that is, spaces in which we can compute distance in a reasonable way. Our goal for this post is to relax this assumption. That is, we want to study the geometric structure of space without the ability to define distance. That is not to say that some notion of distance necessarily exists under the surface somewhere, but rather that we include a whole new class of spaces for which no notion of distance makes sense. | |
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theorydish.blog
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| | | | | In this blog post, we will talk about some recent advances in algorithms for approximately solving Shapley Games. What is a Shapley Game? At an intuitive level, Shapley games capture the idea of extending one-shot 2-player games to be occurring over multiple stages. Explicitly, Shapley games are played on an underlying state space $latex V$.... | |
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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.qosf.org
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| | | Mirror of the curated list of open source developed quantum software projects hosted on [QOSF's GitHub page](https://github.com/qosf/os_quantum_software). | ||
