Folkman's theorem (original) (raw)
Folkman's theorem is a theorem in mathematics, and more particularly in arithmetic combinatorics and Ramsey theory. According to this theorem, whenever the natural numbers are partitioned into finitely many subsets, there exist arbitrarily large sets of numbers all of whose sums belong to the same subset of the partition. The theorem had been discovered and proved independently by several mathematicians, before it was named "Folkman's theorem", as a memorial to Jon Folkman, by Graham, Rothschild, and Spencer.
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| dbo:abstract | Folkman's theorem is a theorem in mathematics, and more particularly in arithmetic combinatorics and Ramsey theory. According to this theorem, whenever the natural numbers are partitioned into finitely many subsets, there exist arbitrarily large sets of numbers all of whose sums belong to the same subset of the partition. The theorem had been discovered and proved independently by several mathematicians, before it was named "Folkman's theorem", as a memorial to Jon Folkman, by Graham, Rothschild, and Spencer. (en) Le théorème de Folkman est un théorème en théorie combinatoire des nombres et théorie de Ramsey selon lequel, pour toute partition finie de l'ensemble des entiers strictement positifs, il existe un ensemble arbitrairement grand d'entiers dont toutes les sommes partielles appartiennent à la même partie de la partition. Découvert et démontré indépendamment par plusieurs mathématiciens, il a été baptisé « théorème de Folkman » (en mémoire de (en)) par Graham, Rothschild et Spencer. (fr) |
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| gold:hypernym | dbr:Theorem |
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| rdfs:comment | Folkman's theorem is a theorem in mathematics, and more particularly in arithmetic combinatorics and Ramsey theory. According to this theorem, whenever the natural numbers are partitioned into finitely many subsets, there exist arbitrarily large sets of numbers all of whose sums belong to the same subset of the partition. The theorem had been discovered and proved independently by several mathematicians, before it was named "Folkman's theorem", as a memorial to Jon Folkman, by Graham, Rothschild, and Spencer. (en) Le théorème de Folkman est un théorème en théorie combinatoire des nombres et théorie de Ramsey selon lequel, pour toute partition finie de l'ensemble des entiers strictement positifs, il existe un ensemble arbitrairement grand d'entiers dont toutes les sommes partielles appartiennent à la même partie de la partition. Découvert et démontré indépendamment par plusieurs mathématiciens, il a été baptisé « théorème de Folkman » (en mémoire de (en)) par Graham, Rothschild et Spencer. (fr) |
| rdfs:label | Folkman's theorem (en) Théorème de Folkman (fr) |
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