van der Waerden's theorem

Spelling & Dictionary Insight

The English entry for van der Waerden's theorem is 25 letters long, classified as a proper noun. It sits outside the most-frequent rank tiers, which is often why uncommon words generate more spelling variants per reader. The dominant gloss from Wiktionary reads: "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, ...".

No misspelling variants are generated for van der Waerden's theorem in our index, suggesting the orthography follows predictable English patterns. It is not paired with a close-neighbour confusable in our dataset, which tends to mean the word is visually distinctive enough to stand on its own.

Etymologically, the entry records: Named after the Dutch mathematician B. L. van der Waerden. Root origin matters for spelling because borrowed morphemes (Greek, Latin, Old French, Old English) carry their source-language orthographic conventions into modern English, which is why historical etymology is often the cleanest predictor of whether a cluster like "-ough", "-eau", or "-tion" will appear. For readers arriving here from a spelling check, the authoritative guidance is: the correct English form is van der Waerden's theorem, spelled V-A-N- -D-E-R- -W-A-E-R-D-E-N-'-S- -T-H-E-O-R-E-M, and any other sequence of those letters, regardless of how natural it feels, is a misspelling in standard orthography.