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rjlipton.com | ||
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gilkalai.wordpress.com
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| | | | | Topology Quasi-polynomial algorithms for telling if a knot is trivial Marc Lackenby announced a quasi-polynomial time algorithm to decide whether a given knot is the unknot! This is a big breakthrough. This question is known to be both in NP and in coNP. See this post, and updates there in the comment section. Topology seminar,... | |
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terrytao.wordpress.com
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| | | | | [This post is dedicated to Luca Trevisan, who recently passed away due to cancer. Though far from his most significant contribution to the field, I would like to mention that, as with most of my ot... | |
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cacm.acm.org
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| | | | | [AI summary] The article discusses the ongoing evolution of the P vs NP problem in computational complexity theory, emphasizing its profound implications for algorithm design, cryptography, and artificial intelligence. It highlights how advances in machine learning and quantum computing are reshaping our understanding of computational limits, while also cautioning against the potential misuse of algorithms in areas like algorithmic bias and surveillance. The piece concludes by reflecting on the philosophical and practical significance of P vs NP, suggesting that its resolution could redefine the boundaries of what is computationally feasible. | |
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www.techelevator.com
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| | | The relationship between math and programming and answering the question "How much math do I need to be good at this?" | ||