数学分析

By analyzing the mathematical model of the OVD, its practical example is given, and it is very important to improve the efficiency of logistics distribution and reduce cost.

并在分析其数学模型的基础上，给出了实例分析，对提高物流配送效率和降低成本具有重要意义。

On the basis of dual porosity theory,the well test interpretation model which considers the variation of krg versus the volume of liquid is also established and resolved by the implicit method numerically.

摘要通过分析凝析气藏的相图，建立了凝析液饱和度随压力降的变化规律，并回归得出了相应的公式；同时通过对气体压缩因子、黏度随压力、温度的变化，建立了这些参数和无因次压力的关系；在双重介质地层假设的基础上，建立了在试井过程中凝析气相对渗透率随凝析液饱和度变化的凝析气藏试井解释数学模型，采用隐式迭代的方法进行了求解并进行了参数敏感性分析；结果表明：凝析液的饱和度对凝析气藏试井的压力及压力导数曲线有着很大的影响，早期由于凝析液的析出，阻碍了气藏的流动，导致压力及压力导数曲线上升；在凝析液饱和度达到峰值之后，随着凝析液的挥发，凝析气的相对渗透率逐渐恢复，压力及压力导数曲线又回归到正常的径向流位置；由于裂缝和基岩之间的压力差，使得裂缝弹性储容比在测试过程中发生变化，进而影响了压力及压力导数；窜流系数和裂缝弹性储容比的变化决定了窜流段发生的早晚和程度；而基岩中气体黏度的变化使得窜流的发生稍微滞后。

From the analysis of mathematical model, I make a sum of the factors of the elasticity of substitution among areas of industry agglomeration, for example, the expectation and the risk aversion of the enterprise, the provision of public goods in the center of agglomeration, policy and so on.

由数学模型的分析，文章总结分析了产业集聚地区间替代弹性的影响因素，诸如决策企业的预期、风险规避程度，集聚中心的公共品提供，以及政策因素等等。

This article first introduces the math foundation required by ECC,including the addition rule for elliptic curve point defined over finite field.Then , the principle of ECC is discussed and its security and efficiency of ECC are analyzed.Third, a cryptosystem is designed through analyzing the security requiration, choosing the elliptic curve domain parameters,denoting field element,elliptic curve and elliptic curve point,choosing associate primitves and schemes andpartitioning functional module.Forth, how to develop a crytosystem based on elliptic curve encryption algorithm is investigated.Fifth, a cryptosystem we have developed by us and the testing result is described.

本文首先介绍了ECC的数学基础，对有限域上椭圆曲线点的运算规则进行了详细描述；其次探讨了ECC的原理，分析了ECC的安全性和有效性；第三，设计了一个基于ECC的加密系统，包括系统的安全需求分析，域参数选择，域元、椭圆曲线、点的表示，原语和方案的选择，及整个系统的模块功能划分；第四，在设计的基础上，研究如何开发一个基于椭圆曲线的加密系统；第五，描述了一个我们已经设计与开发的基于椭圆曲线的加密系统，并给出了相应的测试结果。

According to the requirement of precision diameter measurement of the single crystal silicon sphere, the principle and characteristics of the measuring system were presented, and mathematical models were established for calculating the ellipticity of concentric interference rings with different beam incident angles.

针对标准单晶硅球直径精密测量的需要，本文在介绍标准硅球直径测量系统原理并分析其光路特点的基础上，根据建立的数学模型，对激光束斜入射标准板时产生的椭圆干涉图像进行了分析，并对不同入射角度时干涉环中心点带来的直径测量误差进行了研究。

After the work process of this kind of humidifier is analyzed, it's mathematics model is deduced, according to the equilibrium principle of quantity, and the ultrasonic humidifier's dynamic performance is theoretically emulated in the article and practically tested.

在对该种加湿器的工作过程进行了分析后，根据质量平衡原理，推导出加湿器加湿的动态数学模型，并对一个具体的装置进行了动态性能仿真和实验分析。

The main problems researched in the dissertation and achievements are as follows: The dissertation explains the science background and the theoretical and actual meaning of the task. The progress and the problems of the flow imaging technique are briefly explained. The advantages of electrical capacitance tomography are discussed. The paper discusses the formation and operating principle of ECT, and builds up the definite mathematical model by detail theoretical analyse, and establishes the Finite Element Model of the system by changing the finite boundary value problem of ECT into equivalence variation problem according to variation principle. On the basis of the FEM of the system, the paper builds the finite element model of the capacitance sensitivity field distribution and programs its finite element simulation software and proves the validity of the FEM of the ECT from different aspects. With the FEM and the qualitative analyse of the effect of each structural parameter of the capacitance transducer on its capability, this paper optimizes the structural parameters of the capacitance transducer, and obviously improves its capability. The compare of the simulated result with the static experimental result shows that the error of them is less than 0.9%.

其主要研究内容包括：阐述课题研究的学术背景及其理论与实际意义，概括总结出流动层析成像技术的发展现状和存在的问题，指出电容层析成像技术的优点；讨论电容层析成像系统的组成及工作原理，进行详尽的理论分析，以变分原理为基础，将ECT的有限元边值问题转换为等价的变分问题，从而建立系统的有限元模型；在系统有限元模型的基础上，建立敏感场的数学模型，编制有限元的仿真软件，并从不同角度证明电容层析成像系统有限元模型的正确性；利用有限元模型，定性地分析电容传感器各结构参数对其性能的影响，并对传感器结构参数进行优化设计，使其性能得到明显的改善。8电极ECT系统的仿真和静态实验结果的比较表明，它们之间的相对误差小于0。

According to the deficiency of event tree analysis in safety evaluation,this paper introduces a dynamic event tree analysis method and the mathematical description is given as well.

针对传统的事件树分析方法在安全性评估中的局限性，在动态事件树分析方法的基础上，给出了其数学描述，并将其应用于导弹安全自毁系统安全性评估中，以描述导弹安全自毁过程中的动态特性。

This paper proposed a mathematical model of factor analysis, and analysis of some of his properties.

翻译一个东西：本文第一提出因子分析的数学模型，并且分析了他的一些性质。

According to the analysis results, the dissertation gives the deformation and plastic zone curves family of the rocks of four different superincumbent depths and makes fitting analysis on the curves to obtain corresponding displacement formulation in quadratic polynomial form.

研究洞群稳定时以分析主厂房的下游边墙关键点位移或围岩塑性区为主，并通过回归分析的数学方法推求各种条件下的洞壁位移预测公式。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。