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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
| | awwalker.com
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| | Just how good are polynomials at producing primes? Do there exist polynomials that produce primes for arbitrarily many consecutive inputs? In this post, I'll give a brief overview of what we expect to be able to prove, and show how interpolating polynomials can produce record-breaking prime-generators. (And then break a record, because why not?)
| | www.jeremykun.com
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| | Previously on this blog, we've covered two major kinds of algebraic objects: the vector space and the group. There are at least two more fundamental algebraic objects every mathematician should something know about. The first, and the focus of this primer, is the ring. The second, which we've mentioned briefly in passing on this blog, is the field. There are a few others important to the pure mathematician, such as the $ R$-module (here $ R$ is a ring).
| | nla-group.org
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| by Sven Hammarling and Nick Higham It is often thought that Jim Wilkinson developed backward error analysis because of his early involvement in solving systems of linear equations. In his 1970 Turing lecture [5] he described an experience, during world war II at the Armament Research Department, of solving a system of twelve linear equations