English Dictionary

Roth's theorem

固有名詞

(mathematics) 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 history).

日本語の意味

ロスの定理：代数数に対するディオファントス近似において、代数数が非常に精度の高い有理数近似を多数持つことはできないことを示す、数学における基本的な定理。

Roth's theorem implies that algebraic numbers cannot have infinitely many exceptionally close rational approximations.

ロスの定理は、代数的数が非常に優れた有理数近似を無数に持つことができないことを示しています。

意味（1）

(mathematics) 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 history).