van der Waerden's theorem

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van der Waerden's theorem [¦van ·dər ′werd·ənz ‚thir·əm]

(mathematics)

The theorem that for any positive integerskandrthere is a positive integernsuch that, if the firstnintegers are divided intokclasses, then there exists an arithmetic progression ofrterms that all belong to the same class.

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van der Waerden number

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