lebesgue measurable functions Lebesgue可测函数是一类在测度论中定义的函数。形式上,一个函数f被称为Lebesgue可测函数,如果对于任意的实数a,开区间(a,+∞)的原像集合{ x | f(x) > a }和闭区间[−∞,a)的原像集合{ x | f(x)≥a }都是Lebesgue可测集合。 换句话说,一个函数f是Lebesgue可测函数,...
... lebesgue integral 勒贝格积分 lebesgue measurable 勒贝格可测的 lebesgue measure 勒贝格测 …tieba.baidu.com|基于29个网页 2. 实分析 实分析(Lebesgue measurable) [ 数学 ] 实分析一题(periodic function) 目前没有资料 我要评论 green's theorem 曲面积分的公式?? tw.knowledge.yahoo.com|基于1 个网页...
Lebesgue measure (redirected fromLebesgue measurable) [lə′beg ‚mezh·ər] (mathematics) A measure defined on subsets of euclidean space which expresses how one may approximate a set by coverings consisting of intervals. McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright ...
简明 Lebesgue measurable 释义 勒贝格可测 大小写变形:lebesgue measurable 行业词典 数学 勒贝格可测
There is a function, μ, the Lebesgue measure, defined on the set of all Lebesgue-measurable sets such that: 1. μ(X) = 0 if, and only if, X has Lebesgue measure zero. 2. If (Xn: n < ∞) is a sequence of pairwise disjoint Lebesgue measurable sets, then μ(∪n < ∞ Xn) ...
bounded Lebesgue measurable functionsessentially bounded functionsspectra and maximal ideal spacesextremely disconnected spacetotally disconnected spaceLet X be a set in ℝnwith positive Lebesgue measure. It is well known that the spectrum of the algebra L∞(X) of (equivalence classes) of essentially...
Definition:A subset of is Lebesgue measurable,or simply measurable, if for any there exists an open set with and.Propertys:Property 1: Every open set in is measurable.Property 2: If , then is measurable. In particular, if isa subset of a set o
I've been doing a little work with Borel measures and don't want to confuse Borel measurable functions with Lebesgue measurable functions for R^n -> R^m...
We build a new class of Banach function spaces, whose function norm isρ(p[⋅],δ[⋅](f)=inff=∑k=1∞fk∑k=1∞essinfx∈(0,1)ρp(x)(δ(x)−1fk(⋅)), where ρp(x) denotes the norm of the Lebesgue space of exponent p(x) (assumed measurable and possibly infinite...
Lebesgue%2520measurable 翻译 勒贝格可测 以上结果来自机器翻译。