测度论

词组短语

measure theory

与测度论相关的网络例句 [注：此内容来源于网络，仅供参考]

Nonstandard analysis ; nlargements of number systems ; transfer principle ; external producing principle ; comparative principle ; potential numbers ; measure ; continuum ; discontinuum ; cardinal number ; continuum hypothesis ; Hilbert's first problem Ner

非标准分析；数系的扩大；转移原则；外的生成原则；比较原则；潜在数；测度；连续统；离散统；基数；连续统假设； Hilbert第一问题；新的数学实体；不可分的连续体； Zeno的总格言； Aristotle的猜想；庄周；无厚不可积；万世不竭；测度论的基础

As a by-product of our proof, a new generalization of Hahn decomposition theorem in measure th...

在证明过程中，我们也顺便得到测度论中Hahn分解定理的推广。

Simons [30] proved the non-existence theorem for stable integral current in acompact Riemannian submanifold isometrically immersed into a unit sphere andvanishing theorem for homology groups. In 1984, Y. L. Xin [47] generalized theLawson-Simon\'s nonexistence theorem for stable integral current and vanishingtheorem for homology groups to the case of compact submanifolds in Euclideanspace, and gave several important applications.

Simons运用Federer-Fleming存在性定理[19]和几何测度论中变分技巧证明了单位球面中紧致黎曼子流形上稳定积分流的不存在性定理和同调群消没定理[30]。1984年，忻元龙将Lawson-Simons稳定积分流的不存在性定理和同调群消没定理拓广到了欧氏空间中紧致子流形的情形，并给出了若干重要的应用[47]。1997年，K。

Simons [30] proved the non-existence theorem for stable integral current in acompact Riemannian submanifold isometrically immersed into a unit sphere andvanishing theorem for homology groups. In 1984, Y. L. Xin [47] generalized theLawson-Simons nonexistence theorem for stable integral current and vanishingtheorem for homology groups to the case of compact submanifolds in Euclideanspace, and gave several important applications.

Simons运用Federer-Fleming存在性定理[19]和几何测度论中变分技巧证明了单位球面中紧致黎曼子流形上稳定积分流的不存在性定理和同调群消没定理[30]。1984年，忻元龙将Lawson-Simons稳定积分流的不存在性定理和同调群消没定理拓广到了欧氏空间中紧致子流形的情形，并给出了若干重要的应用[47]。1997年，K。

With four continuity of non-additive set function and the relation of four convergences of the measurable function sequence,four forms Lebesgue theorem about measurable closed-valued functions on monotone measure space are discussed,respectively.

在经典测度论中，Lebesgue定理刻画了实值可测函数序列几乎处处收敛和依测度收敛之间的关系。1984~1986年，王震源[9]先后提出了较弱的"自连续"、"零可加"、"伪自连续"、"伪零可加"等重要概念，讨论了模糊测度空间上单值可测函数序列各种收敛之间的关系，推广了经典测度论中著名的Lebesgue定理以及其他定理。

The contents of the abstract of the short Communication is:"The paper gives a complete differential partition to a Euclidean straight line with a fixed frame, and three axioms for the integral of infinitesimals indexed by real numbers; proves in standard mathematics there are positive infinitesimals outside of real number set; Gives cosmic, macro and micro counterexamples to two axioms in Jordan, Carathéodory, and Lebesgue measure theory; transforms Weierstrass limit into Huang limit, Cantor continuum into Huang continuum, and Newton-Leibniz formula into Huang formula."

这个短的发言的摘要的内容如下："此文对一条确定了固定标架的欧几里德直线给出了完整的微分分拆，并对以实数为标号的无穷小的积分给出了三条公理；在标准数学中证明了在实数集合之外存在正的无穷小；对若当，卡拉特欧多里和勒贝格测度论中的两条公理给出了宇观的，宏观的和微观的反例；将外尔斯特拉斯极限改进为黄氏极限，将康托连续统改进为黄氏连续统，和将牛顿－莱布尼茨公式改进为黄氏公式。"

This thesis is devoted to study the properties of the solutions of some specialrefinable equations,such as properties of multi-refinable,global linear independence,local linear independence and local polynomial property,etc,by using fractal theory,measure theory and theory of generalized functions.

本文的主要目的是通过用分形几何中的一些想法以及测度论和广义函数中的一些知识来研究一些特殊的细分方程的解的一些性质，如多重可细分性、整体线性无关性、局部线性无关性和局部多项式性质等。

Theoretical analysis and topology knowledge, at the same time easy to make the reader get on locally compact space and measure theory subalgebra links.

详细说明：理论分析和拓扑方面的知识，同时使得读者容易掌握局部紧空间上算子代数和测度论之间的联系。

In this paper, many concepts and propositions in measure theory are described and characterized by nonstandard analysis in nonstandard saturation model, and some important conclusions in Loeb measure space are extended and developed to a certain extent.

本文在非标准饱和模型下，利用Loeb测度对测度论中的若干概念和命题进行了非标准描述和刻画，并在一定程度上推广和发展了Loeb空间的一些重要结论。

Consequently, we define and prove the generalized Jarzynski's equalities of in-homogeneous Markov chains and multidimensional diffusions.

更进一步，我们还给出了瞬时熵产生率的测度论定义。

与测度论相关的网络解释 [注：此内容来源于网络，仅供参考]

convergence：收敛

在普通微积分里面,最基本的理论基础是"收敛"(convergence)和"极限"(limit)的概念,所有其他的概念都是基于这两个基本概念的. 对于随机微积分,在我们建立了现代的概率论体系(基于实分析和测度论)之后,

geometric measure theory：几何测度论

几何[学]|geometry | 几何测度论|geometric measure theory | 几何单纯复形|geometric simplicial complex

method of measure theory：测度论方法

相关分析法: method of correlation analysis | 测度论方法: method of measure theory | 统计假设检验法: method of statistical hypothesis testing

Measure Theory, Donald L. Cohn：经典的测度论参考书

8、Functional Analysis by Yoshida:高级的研究生泛函分析参考书; | 9、Measure Theory, Donald L. Cohn:经典的测度论参考书. | 1、Hirsch, Differential topology:标准的研究生微分拓扑教材,有相当难度;

measure zero：零测度

measure theory 测度论 | measure zero 零测度 | measurement 测量

Measure, Probability and Integral Calculation：测度、概率与积分

排队论与库存理论Queuing Theory and Inventory Theory 3 3 | 测度、概率与积分Measure, Probability and Integral Calculation 4 1 | 高级时间序列分析Advanced Time Series Analysis 4 1

Queuing Theory and Inventory Theory：排队论与库存理论

随机运筹学Stochastic Operation Research 3 2 | 排队论与库存理论Queuing Theory and Inventory Theory 3 3 | 测度、概率与积分Measure, Probability and Integral Calculation 4 1

riemann integral：黎曼积分

勒贝格积分(Lebesgue Integral)便 是从黎曼积分(Riemann Integral)的原有框架发展而来的. 由于介绍勒贝格积分须涉及很多测度论(Measure Theory)的专门概念和知识(例如「测度空间」Measure Space、「可测函数」Measurable Function等),

method of statistical hypothesis testing：统计假设检验法

测度论方法: method of measure theory | 统计假设检验法: method of statistical hypothesis testing | 随机服务法(排队论法):stochastic service system

measure vector：测度向量

测度论 measure theory | 测度向量 measure vector | 零测度 measure zero