Roth's theorem

Spelling & Dictionary Insight

The English entry for Roth's theorem is 14 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: "A fundamental result in Diophantine approximation to algebraic numbers, stating that these numbers cannot have many rational number approximations that are 'very good' (variously defined through hi...".

No misspelling variants are generated for Roth'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 Klaus Roth. 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 Roth's theorem, spelled R-O-T-H-'-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.