English Dictionary

denumerable

形容詞

比較不可

(mathematics) Capable of being assigned a bijection to the natural numbers. Applied to sets which are not finite, but have a one-to-one mapping to the natural numbers.

日本語の意味

数学において、自然数と一対一対応を構成できる集合、特に有限でないが各要素に自然数を対応付けられる（すなわち可算無限）集合として扱われる。 / 数学：各要素に自然数を割り当てる全単射が存在する集合の性質を示す。

The set of prime numbers is denumerable, as it can be put into a one-to-one correspondence with the natural numbers.

素数の集合は可算であり、自然数と一対一対応を作ることができます。

意味（1）

(mathematics) Capable of being assigned a bijection to the natural numbers. Applied to sets which are not finite, but have a one-to-one mapping to the natural numbers.

The empty set is not denumerable because it is finite; the rational numbers are, surprisingly, denumerable because every possible fraction can be assigned a natural number and vice versa.