数学分析

Technical analysis; AR-ARCH model; covariance inequality; Strong law of large numbers; Glivenko-Cantelli Lemma ; empirical distribution function; central limit theorem; dependence coefficients

基础科学，数学，概率论、数理统计技术分析； AR-ARCH模型；协方差不等式；强大数定律； Glivenko-Cantelli引理；经验分布函数；中心极限定理；相依系数

In the paper, a mathematical model of quadrant detector output signal was established by light energy integral.

通过光能积分建立象限探测器输出信号数学模型，分析了输出信号线性特性与光斑和光敏面半径比、信号采样精度、象限间光电特性均匀性等之间的关系，给出对应探测器输出最优线性特性的光斑和光敏面半径比值，采用分段线性化方法拟合探测器输出特性参数。

According to energy and material balance principle, A structural optimal mathematical model of FDBs was advanced by resistance analysis method.

通过能量和物质平衡原理，采用阻力分析的方法，建立了进出口流体分布挡板的结构优化数学模型。

After establishing index system, we find a mathematical model that suitable for this system--Data Envelopment Analysis model.

在建立了指标体系之后，我们找到适合这一体系的数学模型——数据包络分析模型。

In this chapter the author expounded the origin of the concept of Free-form generators, pointed out that it is the certain result of the development of synchronous multi-axis CNC technology, explained the basic principle of the machining of extended epicycloid bevel gears on Free-form generators and the methods for both hardware and software implementation.

论文第2章是全文的基础，在这一章中，作者论述了Free-form型机床概念的由来，指出它是多轴联动数控技术发展的必然结果；阐述了Free-form型机床加工延伸外摆线锥齿轮的基本原理及其软硬件实现方式；将机床控制系统分解为包含两根虚拟主轴的有两组独立联动的八轴八联动系统；建立了Free－form型机床的数学模型；推导了展成运动速度、加速度及高阶加速度的表达式，为后续的理论分析奠定了基础。

Based on literature survey the writer takes as basis the thermodynamic data determined experimentally and published in the literature and, in the light of the theory related to heterogeneous reaction system in thermodynamics, gives a detailed analysis of thermodynamic stability under temperature and atmospheric conditions in the shift reactor with the iron-based high-temperature shift catalyst, obtaining relevant equilibrium phase diagram of the heterogeneous reaction system and corresponding calculation formulas.

笔者在文献调研的基础上，以文献发表的、经由试验测定的热力学数据－标准生成自由能为依据，根据热力学中非均相反应体系的有关理论，对铁基高温变换催化剂在变换反应的气氛与温度条件下的热力学稳定性进行了较详细的分析，建立了相关的非均相反应体系的平衡相图和相应的数学表达式。

Combining with the characteristics and the principle of analysis on existing bridges, the equipollent load, the mathematical model and the stochastic model for traffic load on existing bridge are studied.

本文结合既有桥梁车辆荷载的特点和分析原则，研究了既有桥梁车辆荷载的等代荷载、数学模型以及随机过程模型。

A nonlinear regression is adopted to analyze the changes of plasma vitellogenin concentration in crucian carp via the environmental pollutant exposure concentration, and the concentration-response relationship is determined for the single chemical of estradiol (E2), ethynylestradiol (EE2), bisphenol A, 4-tert-octylphenol, and that of the mixed compounds at equipotent concentrations, the mixture being tested using a fixed-ratio design.

通过对鲫鱼血浆卵黄蛋白原含量的相对变化和暴露浓度的非线性回归分析得出17α-乙炔基雌二醇(EE2)、17β-雌二醇(E2)、双酚A、辛基苯酚及其等毒性固定浓度比例混合物产生雌激素效应的剂量－反应关系；应用相加作用数学模型根据单个化合物的数据预测混合物效应。

This paper analyses the physical characteristic of MOV and gives out its mathematical model by making it equivalent to inductance, resistance and diode three parts.

对金属氧化物变阻器的物理特性进行了分析，并完成了MOV元件的数学建模，将其等效为电感、电阻、二极管三部分。

On the basis of measured data processing,error analysis,curve modeling and object modeling,it establishes the mathematical modeling of the screw parts of single screw compressors.

在测量数据处理、误差分析和曲线曲面造型、实体造型技术的基础上，建立了单螺杆空气压缩机螺杆零件的数学模型。

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。