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polymathprojects.org | ||
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quomodocumque.wordpress.com
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| | | | | As the old joke goes, "Who's that guy next to Mazur?" Barry Mazur, my Ph.D. advisor, was awarded the National Medal of Science last week. It's hard to overstate the extent to which his work and his outlook have affected the direction of number theory. And of course my own way of doing math is... | |
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terrytao.wordpress.com
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| | | | | Let $latex {G = (G,+)}&fg=000000$ be a finite additive group. A tiling pair is a pair of non-empty subsets $latex {A, B}&fg=000000$ such that every element of $latex {G}&fg=000000$ can | |
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xorshammer.com
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| | | | | There are a number of applications of logic to ordinary mathematics, with the most coming from (I believe) model theory. One of the easiest and most striking that I know is called Ax's Theorem. Ax's Theorem: For all polynomial functions $latex f\colon \mathbb{C}^n\to \mathbb{C}^n$, if $latex f$ is injective, then $latex f$ is surjective. Very... | |
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windowsontheory.org
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| | | Previous post: ML theory with bad drawings Next post: What do neural networks learn and when do they learn it, see also all seminar posts and course webpage. Lecture video (starts in slide 2 since I hit record button 30 seconds too late - sorry!) - slides (pdf) - slides (Powerpoint with ink and animation)... | ||
