查询词典 mathematical expectation

The results of statistic property theory analysis show that GCASM is in close agreement with the differential equation model of the general growth system in the sense of mathematical expectation.

但是 ，对于大多数与实际动力学系统相关的问题，其微分方程模型没有解析解，为了对微分方程模型进行求解，人们通常放弃符

We just continuously search among them for the highest after-tax returns as measured by "mathematical expectation," limiting ourselves always to investment alternatives we think we understand .

我们只是持续不断地寻找最高的税后报酬预计的数学期望值，且仅限于我们认为了解熟悉的投资

A comprehensive review and expectation about researching status in quo and development trends of viscous flow numerical simulation technique are given in this paper and grids generation methods, numerical computation methods, turbulent model and moving boundary simulation methods are the emphasis study in the paper. On the basic of above job a mathematical model of simulation turbulent flow with free surface is established and triumphantly applied to numerical computation on 2D spillway and 3D spillway with frusta of brake.

本文针对粘流场数值模拟技术的研究现状和发展动态作了比较全面的回顾与展望，重点研究了网格生成技术、数值求解技术、湍流模型技术和动边界模拟技术，在此基础上建立了模拟自由面湍流场的数学模型，并成功地应用到二维溢流坝和带闸墩的三维溢流坝过坝水流的数值计算。

This paper summarizes the research job of predecessors, full text is divided in four part:The first part introduces the develop history and present conditions of MCRE;In the second part, the concept of average Markov process is introduced. Moreover we investigate the relations for Markov processes, martingales, stationary processes and average Markov process systematically.The third part summarizes the model that constructs the MCRE by p-m chains and skew product Markov chains by p-m chains, also we discuss the relations among the basic gunctions of the probability character for MCREIn the fourth part, we discuss the dimension of GW-tree and the canonical branching chain in random environment, furthermore we summarize the exact formulas of mathematical expectation and variance of branching chain in random environment.

本文主要是综述这方面前人工作，全文分成四个部分：第一部分介绍了MCRE的发展历史和研究现状；第二部分研究了马氏过程、鞅和平稳过程这三类经典的随机过程的相互关系，包括他们之间的包含和排斥关系，引入了&均马氏过程&的概念，研究了它与三类经典过程—马氏过程、鞅及平稳过程的关系；第三部分综述了用p-m链构造的构造的随机环境中的马氏链和绕积马氏链，讨论了与之相关的概率特性函数的性质；第四部分讨论了GW树的维数，并综述了随机环境中的典范的分枝链，讨论了随机环境中的分枝链的数学期望和方差的计算公式。

Vector is the new high school textbooks and the new one of the important contents, it is rich in physical background, it is the object of study algebra, and geometry is the object of study is set,"the number of Form" in a mathematical concept of an abstract algebra, linear algebra and functional analysis of the basic mathematical model.

向量是高中新教材中新增加的重要内容之一，它有着丰富的物理背景，它既是代数研究的对象，又是几何研究的对象，是集"数、形"于一身的数学概念，是抽象代数、线性代数、泛函分析中的基本数学模型。

Then, theoretically, mathematical morphology is stretched from complete lattices to complete semi-lattices and the adjunction of complete semi-lattices is studied. Some qualities of mathematical morphology on complete semi-lattices are discussed and supported. Two examples of difference semi-lattice and reference semi-lattices are also supplied.

然后在理论上，把数学形态学从完备格延伸到完备半格，研究了完备半格上的伴随，讨论并证明了完备半格上数学形态学的一些性质，列出了差分半格和参考半格两个例子。

The mathematical model of air cylinder and high-speed switch valve is built and also the pneumatic driving system mathematical model is given.

第三，设计了利用研华工控机和其功能板卡的集中控制硬件系统。

Archimedean mathematical thought gives us the inspiration: the ingenious physical deduction is the important method of the scientific discovery; the strict mathematical deduction is the necessary step to confirm the result; the several basic principles to be selected act as foundation of deduction; devote oneself to the scientific truth and do not seek secular profit.

由Archimedes的数学思想得到的启示是：巧妙的物理论证是科学发现的重要方法；严格的数学论证是确立结论的必需步骤；要精选若干基本原理，作为论证的基础；要献身科学真理，不为俗世需求所动摇。

For the images of VSMCs cultured on the silicon membrane stretched by pulsatile flow, one method with eight steps based on difference arithmetic operators is proposed. Image enhancing, image graying, halation removing, Canny edge detection, mathematical morphology dilation, edge smoothing, mathematical morphological reconstruction are implemented according to the set sequence.

本文针对膜式张应力装置中体外培养血管平滑肌细胞图像，深入分析了该细胞力学实验中细胞图像的特点，提出了基于微分边缘检测算子的图像分割技术路线，依次为图像增强、灰度化、消除光晕、Canny边缘检测、数学形态学膨胀、区域填充、平滑边缘、形态学重建。

On putting forward a research method of the history of mathematical economics by synthesizing the intrinsic and extrinsic historical factors, the author examines some problems in the early development of mathematical economics in the light of arithmetization of analysis.

提出研究数理经济学史内、外史结合的一种方法，并用该方法以 1 9世纪分析算术化为背景，考察了数理经济学早期发展的若干问题，指出数学基础问题是 1 870年前在经济学中应用数学方法的主要障碍，以分析算术化为代表的数学基础重建则是此后数理经济学迅猛兴起的重要条件。

A carrier gas such as nitrogen is directed through line 20 and valve 22 to connect with line 26 and mix with the gas sample.

如氮气之类的载体通过管线20和阀22引入，与管线26相通，与气体样品混合。

But for the most part, knaves and parasites had the command of his fortune

然而支配他的家产的大多是恶棍和寄生虫。