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liorpachter.wordpress.com | ||
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rjlipton.com
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| | | | | How to convince someone your proof is really a proof Roger Apéry was a mathematician who solved a beautiful problem that had been open for hundreds of years. He was not an amateur in any sense, but because his result was so surprising there was initial doubt about its correctness. Even professional mathematicians have some... | |
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terrytao.wordpress.com
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| | | | | Don't just read it; fight it! Ask your own questions, look for your own examples, discover your own proofs. Is the hypothesis necessary? Is the converse true? What happens in the classical sp... | |
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mathscholar.org
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| | | | | [AI summary] An article discusses the evolution of mathematics from a discipline that resisted computational tools to one that increasingly relies on computer-assisted proofs, data mining, and artificial intelligence, featuring perspectives from mathematician Terence Tao on the future of the field. | |
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algorithmsoup.wordpress.com
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| | | The ``probabilistic method'' is the art of applying probabilistic thinking to non-probabilistic problems. Applications of the probabilistic method often feel like magic. Here is my favorite example: Theorem (Erdös, 1965). Call a set $latex {X}&fg=000000$ sum-free if for all $latex {a, b \in X}&fg=000000$, we have $latex {a + b \not\in X}&fg=000000$. For any finite... | ||
