English Dictionary

surreal number

名詞

(mathematics) Any element of a field equivalent to the real numbers augmented with infinite and infinitesimal numbers (respectively larger and smaller (in absolute value) than any positive real number).

日本語の意味

実数を拡張し、無限大や無限小の要素（それぞれ任意の正の実数より大きい・小さい性質を持つ）を含む体の元

To understand infinitesimals and infinite magnitudes, mathematicians often construct a surreal number step by step using transfinite induction.

無限小や無限大を理解するために、数学者はしばしば超限帰納法を用いて、実数を無限大や無限小の要素で拡張した体の一要素である超現実数を段階的に構成する。

意味（1）

(mathematics) Any element of a field equivalent to the real numbers augmented with infinite and infinitesimal numbers (respectively larger and smaller (in absolute value) than any positive real number).

Conway's construction of surreal numbers relies on the use of transfinite induction.

surreal numbers （ plural ）