查询词典 measure theory

In the ordinary axiomatization of probability theory by means of measure theory , the problem is to construct a sigma-algebra of measurable subsets of the space of all functions, and then put a finite measure on it.

在普通公理化的概率论的方式衡量理论，问题是要建设一个六西格玛代数的可衡量的亚空间的所有功能，然后把有限的程度上它。用于这一目的的一个传统使用的方法称为柯尔莫哥洛夫延长。

As the basis of the thesis, measure theory and dimension concept including several technical lemmas are presented in the second chapter.

第二章概述了拓扑空间中的测度理论和维数概念，包括一些技术性引理，是全文的基础。

By defining ε-hedging strategy, applying duality principle of linear programming and martingale measure theory, we present a kind of calculation method for the seller's arbitrage price and the buyer's arbitrage price of capital asset in finite security market.

在定义ε-套期保值策略的基础上，采用线性规划对偶原理和鞅测度理论，给出了有限证券市场资本资产的卖方套利价格和买方套利价格的计算方法。

Subsequent chapters develop measure theory, point-set topology, Fourier series for the Lebesgue integral, and the basics of Banach and Hilbert spaces

制定措施以后各章的理论，点集拓扑学，傅立叶的勒贝格积分系列，与Banach和Hilbert空间的基本知识

By studying measure theory, the students are asked to understand σ-algebras, measure, measurable functions, integral, the measure theory of product spaces, Fubini theorem, and the representation theory of Boolean algebras.

通过本课程学习，使学生掌握σ-代数、测度、可测函数、积分，初步掌握乘积测度空间的构造及Fubini定理，以及布尔代数的表示理论。

This article introduces ultrasonic flow meter' measure theory, configuration of hardware and the design of the software.

在设计中，为了提高超声波流量计的测量精度和可靠性，需要在设计的时候采用新型的检测控制芯片和新的检测理论。

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。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。