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rjlipton.com
| | aperiodical.com
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| | This week, Katie and Paul are blogging from the Heidelberg Laureate Forum - a week-long maths conference where current young researchers in maths and computer science can meet and hear talks by top...
| | www.kuniga.me
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| | NP-Incompleteness:
| | thatsmaths.com
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| | The Riemann Hypothesis Perhaps the greatest unsolved problem in mathematics is to explain the distribution of the prime numbers. The overall ``thinning out'' of the primes less than some number $latex {N}&fg=000000$, as $latex {N}&fg=000000$ increases, is well understood, and is demonstrated by the Prime Number Theorem (PNT). In its simplest form, PNT states that...
| | almostsuremath.com
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| The aim of this post is to motivate the idea of representing probability spaces as states on a commutative algebra. We will consider how this abstract construction relates directly to classical probabilities. In the standard axiomatization of probability theory, due to Kolmogorov, the central construct is a probability space $latex {(\Omega,\mathcal F,{\mathbb P})}&fg=000000$. This consists...