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| | scottaaronson.blog
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| | In Michael Sipser's Introduction to the Theory of Computation textbook, he has one Platonically perfect homework exercise, so perfect that I can reconstruct it from memory despite not having opened the book for over a decade. It goes like this: Let f:{0,1}*?{0,1} be the constant 1 function if God exists, or the constant 0 function...
| | math.andrej.com
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| | xorshammer.com
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| | Nonstandard Analysis is usually used to introduce infinitesimals into the real numbers in an attempt to make arguments in analysis more intuitive. The idea is that you construct a superset $latex \mathbb{R}^*$ which contains the reals and also some infinitesimals, prove that some statement holds of $latex \mathbb{R}^*$, and then use a general "transfer principle"...
| | afiodorov.github.io
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| The other day I presented a t-SNE plot to a software engineer. "But what isit", I was asked. Good question, I thought...