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Ergodic Ramsey theory is a branch of mathematics where problems motivated by additive combinatorics are proven using ergodic theory. ... Erdős and Turán conjectured ...
Ramsey theory, named after the British mathematician and philosopher Frank P. Ramsey, is a branch of the mathematical field of combinatorics that focuses on the appearance of order in a substructure given a structure of a known size. Problems in Ramsey theory typically ask a question of the form: "how big must some structure be to guarantee ...
Paul Erdős was born on 26 March 1913, in Budapest, Austria-Hungary, [8] the only surviving child of Anna (née Wilhelm) and Lajos Erdős (né Engländer). [9] [10] His two sisters, aged three and five, both died of scarlet fever a few days before he was born. [11]
In mathematics, the "happy ending problem" (so named by Paul Erdős because it led to the marriage of George Szekeres and Esther Klein [1]) is the following statement: Theorem — any set of five points in the plane in general position [ 2 ] has a subset of four points that form the vertices of a convex quadrilateral .
In the mathematical theory of infinite graphs, the Erdős–Dushnik–Miller theorem is a form of Ramsey's theorem stating that every infinite graph contains either a countably infinite independent set, or a clique with the same cardinality as the whole graph.
Burke Ramsey became (and remains) a particular target of suspicion among JonBenét theorists, but he didn't participate in the new Netflix docuseries. Here's what we know about Burke's life since ...
The Erdős–Heilbronn conjecture in combinatorial number theory on the number of sums of two sets of residues modulo a prime, proved by Dias da Silva and Hamidoune in 1994. [11] The Erdős–Graham conjecture in combinatorial number theory on monochromatic Egyptian fraction representations of unity, proved by Ernie Croot in 2000. [12]
Lou Smit, a detective who worked in Colorado Springs law enforcement for decades, came out of retirement at the request of Boulder authorities after the 1996 murder of JonBenet Ramsey (Cindy Marra)