测度

The concepts of lattice measure and lattice integral on an l〓-module, some important properties were obtained.

在l〓-模上讨论了格测度和格积分的概念，得到了若干性质； 5。

The Mahler measure of a polynomial P is the absolute value of the product of all roots of P that have modulus at least 1 multiplied by the leading coefficient.

中文摘要：多项式的Mahler测度指的是它的所有模大于1的根与其首项系数的乘积的绝对值。

After introducing the concept of fuzzy measures and Choquet fuzzy integral, information fusion for target recognition can turn into generalized Lebesgue integral of recognition result with respect to the degree of importance of source.

引入模糊测度和 Choquet 模糊积分的概念后，信息融合目标识别可转化为各信源识别结果关于信源重要程度的广义 Lebesgue积分。

The main topics are: set theory foundation, Lebesgue measure and Lebesgue integral, basic theories on linear normed spaces and Hilbert spaces and introduction to linear bounded operators.

本课程基本内容包括集合论基础、Lebesgue测度与Lebesgue积分、线性赋范空间与Albert空间的基本理论和有界线性算子简介。

In this paper,the definition modes of Lebesgue integral of non-negative measurable functions are studied by the way of cutting defining and valued rids,approaching with simple function series.The four definitions of Lebesgue integral of non-negative measurable functions are given.Furthermore,their e- quivalence properties are proved by elementary knowledge.

文献〔1」利用非负可测函数在Ef镇司上积分的极限定义了f在有界可测集E上的L积分；文献[2」利用非负递增简单函数列积分的极限定义了非负可测函数的L积分；文献[3]给出了L积分的一种统一定义；文献〔4一6〕分别证明了测度

In Chapters 1 and 2, we discuss large and moderate deviation principles for the super Brownian motion with immigration governed by the Lebesgue measure .

第一至二章分别研究带移民超布朗运动的大，中偏差，其移民由Lebesgue测度决定。

This paper shows that the Lebesgue measure of the singular matrices in R\+\{n×n\} is zero.

证明了 n阶实矩阵集合中奇异矩阵集合的勒贝格测度等于零，n维实空间中 m个随机向量线性无关的概率为

In Kuksin's the monograph, assuming the potential depends on n-parameters, he showed that the Schrodinger equation with Dirichlet boundary condition possesses many invariant tori for "most"(in the sense of Lebesgue measure) parameters.

Kuksin 在他 1993 年的专著当中表明，对于依赖于参数的势函数来说，满足 Dirichlet 边值条件的非线性薛定谔方程，对于大多数(在 lebesgue 测度意义下)的参数，存在许多不变环面。

Finally,by applying a ran-dom version of Kifer's large deviation theorem and the volume lemma,we prove thelevel-1 LDT for randomly perturbed Axiom A attractors of diffeomorphisms withrespect to the Lebesgue measure.

最后，利用Kifer的大偏差定理的随机版本和体积引理，我们证明了微分同胚的公理A吸引子的随机扰动系统相对Lebesgue测度的level-1 LDT。

The objects of study in the course are real-valued functions defined on the n-dimensional Euclidean space; the theories of Lebesgue measure and Lebesgue integration are expounded emphatically.

实变函数》是数学专业、统计专业三级学生的一门必修课，是介绍近代解析数学领域的基础知识的一门专业基础课，内容以 n 维欧氏空间上的实值函数为对象，重点阐述了 Lebesgue 测度和 Lebesgue 积分理论。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。