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| | mattbaker.blog
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| | In this post, I'd like to explain a proof of the Law of Quadratic Reciprocity based on properties of Lucas polynomials. (There are over 300 known proofs of the Law of Quadratic Reciprocity in the literature, but to the best of my knowledge this one is new!) In order to keep this post as self-contained...
| | 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
| | www.cambridge.org
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| | Combinatorial and harmonic-analytic methods for integer tilings - Volume 10
| | cp4space.hatsya.com
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| In the early 1930s, Pascual Jordan attempted to formalise the algebraic properties of Hermitian matrices. In particular: Hermitian matrices form a real vector space: we can add and subtract Hermitian matrices, and multiply them by real scalars. That is to say, if $latex \lambda, \mu \in \mathbb{R}$ and $latex A, B$ are Hermitian matrices, then...