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www.quantamagazine.org | ||
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cacm.acm.org
[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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quomodocumque.wordpress.com
[Update: Lots of traffic coming in from Hacker News, much of it presumably from outside the usual pro number theory crowd that reads this blog. If you're not already familiar with the ABC conjecture, I recommend Barry Mazur's beautiful expository paper "Questions about Number."] [Re-update: Minhyong Kim's discussion on Math Overflowis the most well-informed public... |
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thatsmaths.com
There are numerous branches of mathematics, from arithmetic, geometry and algebra at an elementary level to more advanced fields like number theory, topology and complex analysis. Each branch has its own distinct set of axioms, or fundamental assumptions, from which theorems are derived by logical processes. While each branch has its own flavour, character and... |
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historyofknowledge.net
Examines the Sovietization of science and the history of academic virtues in post-World War II Soviet-dominated Poland. |
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