van der Waerden's theorem

English

Named after the Dutch mathematician B. L. van der Waerden.

van der Waerden's theorem

(mathematics) In Ramsey theory, a theorem stating that, for any given positive integers r and k, there is some number N such that if the integers {1, 2, ..., N} are colored, each with one of r different colors, then there are at least k integers in arithmetic progression whose elements are of the same color.

单词	van der Waerden's theorem
释义	van der Waerden's theorem English Etymology Named after the Dutch mathematician B. L. van der Waerden. Proper noun van der Waerden's theorem (mathematics) In Ramsey theory, a theorem stating that, for any given positive integers r and k, there is some number N such that if the integers {1, 2, ..., N} are colored, each with one of r different colors, then there are at least k integers in arithmetic progression whose elements are of the same color.
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