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Word Pronunciation & Dictionary

van der waerden's theorem

Word Rarity Very rare

Frequency: Zipf frequency 0.00 in modern English

Syllables
van der waer-den's the-o-rem
IPA
34
Scrabble Score
21
Letters
4
Syllables
12
Unique Chars

Meaning

name

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.

Etymology

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

Questions

What does van der waerden's theorem mean?
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.
Where does van der waerden's theorem come from?
Named after the Dutch mathematician B. L. van der Waerden.

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