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单词 Van der Waerden's Theorem
释义

Van der Waerden's Theorem

A result in Ramsey Theory, the theorem states that however the positive integers are each assigned with one of r colours, there are arbitrarily long arithmetic progressions that are monochrome. The least number W(r,k) by which point a monochrome progression of length k is guaranteed to occur is very difficult to compute in general. See Szemerédi's theorem.

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更新时间:2025/4/29 5:14:47