查询词典 measure theory

This paper deriving the theory workinflection point in the static stage characteristics curve of small measurement range lineardimension measurement .by the way of high pressure and back pressure pneumaticmeasure and designed the parameter of the mainly and measure spray head, which are thekey component in the spray head-baffle pneumatic sensor .The different groups for themain-spray head and the measure spray head ,will effect the dynamic and static stagecharacteristic parameter .The author have done contrast experiment and optimizationdesign to test and verify the theory derivation whereby made the rang of show valve ofpneumatic measure system measure range up to 40 μ m, the sensitivity up to 100mv/μ m,resolution up to 0.05 μm, the uncertainly of measure is less than 0.02 μm, satisfaction ofrequirement of groups the carboy hatch thickness size precise measure of soft shims.

对高压背压式气动测量用于小量程线性尺寸测量的静态特性曲线的理论工作拐点进行了推导，对气动测量系统中的喷嘴-挡板型气动传感器中的关键部件——主喷嘴和测量喷嘴的参数进行了理论设计，对主喷嘴和测量喷嘴的不同组合，将影响测量系统静、动态特性指标的喷嘴参数进行了对比实验和优化设计，并通过实验验证了理论推导，从而使气动测量系统量程的示值范围达到40μm，灵敏度达到100mv／μm，分辨率达到0.05μm，测量不确定度小于0.2μm，满足了压缩机缸盖软体垫片厚度尺寸精密测量分组的要求。

The paper induces and analyzes research method of the tooth, including Method line of the tooth theory,Envlopment theory, Camus theory, Circling cluster theory and so on.Based on the past theories,the new measure to deduce the chain wheel tooth equation of roller chain at high speed,Circling cluster and envlopment theory,is proposed by analyzing basic concept of equidistant curve and Willis theory.Following the presentation of drawing lessons from traditional roller chainof the change of stanza line distance. A new type of roller chain at high speed is given in the paper.The paper studies deeply structural characteristics, the change of stanza line distance,separation between plank and bore and so on.According to design requst of roller chain at high speed and the study ofH_y--V_0 tooth chain,the impossibility that Quasi-conjugage engagement theory isrealized by the engagement of roller chain at high speed from the aspect of theory is decribed.

作者综述了高速滚子链国内外研究现状，并进行了以下研究工作：归纳分析了齿形法线法理论、包络法理论、卡姆士定理、圆族法理论等齿形研究方法，在此基础上，结合齿形啮合基本定律，分析了等距曲线的基本概念，提出了一种推导高速滚子链链轮齿廓方程的新方法—圆族包络法；在借鉴普通变节距滚子链的基础上，本文提出了一种新型的高速滚子链链条，深入研究了高速滚子链链条结构特性及其变节距、板孔中心分离等特性。

In this paper,the nonstandard analysis theory is used for inducing a metric space by a Loeb measure space.On this basis,a metric space is induced by a internal finitely additive measure space.The close relationship between the metric space induced by a Loeb measure space and the metric space induced by a internal finitely additive measure space is illustrated with the concepts and some properties of Loeb measure.Then,some properties of the metric space that induced by a internal finitely additive measure space are studied.In the first two chapters,we first Succinctly present the origin,development and research states of the nonstandard analysis.Then,the theoretical foundation of nonstandard analysis as well as the axiomatic nonstandard analysis are given.Finally, the nonstandard model and the saturation model are discussed,as well as some natures of the nonstandard model and several equivalent conditions of saturation model are given.

本文利用非标准分析理论，在由Loeb测度空间导出度量空间的基础上，由内有限可加测度空间导出了度量空间，并借助Loeb测度的概念和若干性质证明了由标准的测度空间导出的度量空问和由内有限可加测度这个非标准的测度空间导出的度量空间有着密切的关系，在此关系的基础上还研究了由有限可加测度这个非标准的测度空间导出的度量空间的性质在第一、第二章里，我们首先简单介绍了非标准分析的产生、发展及研究现状，接着给出了非标准分析的理论基础以及公理化的非标准分析，进而讨论了非标准模型和饱和模型，并给出了非标准模型的一些性质和饱和模型的若干等价条件。

And with these results, I delve further into the theoretical issues of MSP and the concentration is on a special class of MSP-Doob skeleton processes. Generalized limit distribution, limit distribution of these processes and conditions and the expressions for the existence of invariable measure of such processes are provided. Finally, these new results are then applied to queueing theory, reliability theory and inventory theory. A detailed study of GI/G/1 queuing model, parallel connection system model, water reservoir model and perishable inventory model is discussed. These models have already been investigated to some degree. In particular, as mentioned above, some scholars have already successfully applied the transient behavior theory of MSP to these models and transient distributions of main variables in such models have been obtained. However, the limit behavior has not been addressed. In this thesis, limit behavior of main variables in the above-mentioned models is established.

在这个基础上，对马尔可夫骨架过程的理论进一步进行了探讨，将注意力集中于一类特殊的马尔可夫骨架过程Doob骨架过程，给出了这类过程的广义极限分布、极限分布以及不变测度存在性条件和表达式，并应用这些结论于排队论、可靠性理论和存储论等领域-具体分析了GI/G/1排队论系统模型、并联系统模型、水库储水模型、易腐烂物品库存模型——这些模型都不同程度地被许多学者研究过，特别，如前面提及，已有人成功地应用马尔可夫骨架过程的瞬时性态理论，获得了上述各模型中的主要参量过程的瞬时分布，但是，却并没有探讨它们的极限性态——建立了若干关于上述各模犁的主要参量过程的极限性态的结果。

The measure unit adopts RENISHAW LP2DD probe. HEIDENHAIN linear and round encoders of the machine can as position feedback element. The measure system uses interruptive function of CNC system. When the probe is touched, CNC system will receive a interruptive signal and memory current coordinate position of CNC axes automatically, then after software deals with these information, the real measure data will be got. Compared with theory data, measure error data will be gained.

测量单元采用雷尼绍的LP2DD测头，用机床本身的反馈元件HEIDENHAIN的直线光栅和圆光栅作为位置反馈元件，利用数控系统的中断，当测头被触发时，给数控系统一个中断信号，数控系统自动记忆当前的数控轴的坐标位置，然后经过后续软件处理，得到实际测量值，再与理论值进行比较，得到测量误差值。

From the point of view of measure theory, this paper gives the unified definition of measurable real fuzzy set-valued function and n-dimensional measurable real fuzzy set-valued function, and discusses the fundamental properties of them and their invers fuzzy set-valued function by combining with fuzzy σ-algebra.

5研究了有界闭复模糊数的四则运算、交并运算以及上下确界、上下极限与极限运算的若干基本性质

A synthetical assessment method based on the attribute measure theory is applied to evaluate the service quality of distribution center.

将基于属性测度理论的综合评价方法应用于配送中心服务质量的评价上。

The symmetric difference of the sets is one of the basic operation of the sets, and it plaies an important role in measure theory and its applications.

集合的对称差是集合的基本运算之一，它在测度论及其应用中扮演着一个重要的角色。

In this thesis, we mainly study problems on global geometry and geometricanalysis of Riemannian submanifolds, including vanishing theorem for homologygroups, topological sphere theorem, L~2 harmonic 1-forms, finiteness of end andthe spectrum of the Laplacian. In 1973, by using the Federer-Fleming existence theorem and the techniquesfrom the calculus of variations in the geometric measure theory, H.

本文着重研究黎曼子流形上整体几何与几何分析的若干问题，主要内容包括子流形的同调群消没定理、拓扑球面定理、L~2调和1-形式、端的有限性和Laplace算子谱等问题。

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。&

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了