English Dictionary

maximal

名詞

(mathematics) The element of a set with the greatest magnitude. / (mathematics) Said of an ideal of a ring or a filter of a lattice: that it is as large as it can be without being trivial (improper).

日本語の意味

数学において、集合内で最も大きな大きさ（値）を持つ要素。 / 数学において、環のイデアルや格子のフィルタに対して、非自明（不適切）でありながら可能な限り大きいもの、すなわち極大なもの。

In the set S = {1, 3, 7}, the maximal is 7.

集合S = {1, 3, 7}では、最大要素は7です。

意味（1）

(mathematics) The element of a set with the greatest magnitude.

意味（2）

(mathematics) Said of an ideal of a ring or a filter of a lattice: that it is as large as it can be without being trivial (improper).

意味（3）

(logic) Said of a set of well-formed formulas: that it is as large as it can be without being inconsistent; i.e. that for any well-formed formula φ, the set contains either φ or ~φ.

maximals （ plural ）