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jiggerwit.wordpress.com | ||
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polyfree.wordpress.com
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| | | | | A method using flow networks with costs to realize logical gates. This would suggest a polynomial time approach to solve 3-SAT and 3-DIM-Matching instances. Probability is high that there is some flaw... [my goal with this is having fun exploring interesting questions with the limited tools I have at my disposal, and hopefully gain some... | |
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alanrendall.wordpress.com
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| | | | | The theorem of the title is about dividing smooth functions by other smooth functions or, in other words, representing a given smooth function in terms of products of other smooth functions. A large part of the account which follows is based on that in the book 'Normal Forms and Unfoldings for Local Dynamical Systems' by... | |
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www.jeremykun.com
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| | | | | This proof assumes knowledge of complex analysis, specifically the notions of analytic functions and Liouville's Theorem (which we will state below). The fundamental theorem of algebra has quite a few number of proofs (enough to fill a book!). In fact, it seems a new tool in mathematics can prove its worth by being able to prove the fundamental theorem in a different way. This series of proofs of the fundamental theorem also highlights how in mathematics there are many many ways to prove a single theorem... | |
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alexhwilliams.info
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| | | [AI summary] A technical blog post explaining the mathematical foundations of Principal Component Analysis (PCA), its various generalizations like Sparse and Non-negative Matrix Factorization, and practical considerations for choosing components and handling missing data. | ||
