闭包算子 Closure operator

（重定向自Interior operator）

在数学中，给定偏序集合 (P, ≤)，在 P 上的闭包算子是函数 C : P → P 带有如下性质:

x ≤ C(x) 对于所有 x，就是说 C 是扩展性的。
如果 x ≤ y，则 C(x) ≤ C(y)，就是 C 是单调递增的。
C(C(x)) = C(x) 对于所有的 x，就是说 C 是幂等函数。

单词	Interior operator
释义	Interior operator 中文百科闭包算子 Closure operator （重定向自Interior operator）在数学中，给定偏序集合 (P, ≤)，在 P 上的闭包算子是函数 C : P → P 带有如下性质: x ≤ C(x) 对于所有 x，就是说 C 是扩展性的。如果 x ≤ y，则 C(x) ≤ C(y)，就是 C 是单调递增的。 C(C(x)) = C(x) 对于所有的 x，就是说 C 是幂等函数。英语百科 Closure operator 闭包算子（重定向自Interior operator） In mathematics, a closure operator on a set S is a function $\operatorname{cl}: \mathcal{P}(S)\rightarrow \mathcal{P}(S)$ from the power set of S to itself which satisfies the following conditions for all sets $X,Y\subseteq S$ Closure operators are determined by their closed sets, i.e., by the sets of the form cl(X), since the closure cl(X) of a set X is the smallest closed set containing X. Such families of "closed sets" are sometimes called "Moore families", in honor of E. H. Moore who studied closure operators in 1911. Closure operators are also called "hull operators", which prevents confusion with the "closure operators" studied in topology. A set together with a closure operator on it is sometimes called a closure system.
随便看	recumbing的意思 recumbs的意思 recuperabilities的意思 recuperability的意思 recuperable的意思 recuperacin的意思 recuperacion的意思 recuperance的意思 recuperar的意思 recuperarse的意思 recuperate的意思 recuperate and multiply的意思 recuperate at的意思 recuperate的意思 recuperated energy的意思 recuperated of heat的意思 recuperated rubber的意思 recuperated yarn的意思 recuperate from的意思 recuperate的意思 recuperate site的意思 recuperate the depleted yang and rescue the patient from danger的意思 recuperate的意思 recuperating aesthetics的意思 recuperation的意思

Interior operator

闭包算子 Closure operator

Closure operator 闭包算子