数学基础

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。

In this paper , the main factors that influence the elongation of the aluminum rolling are analyzed .

分析了影响电工铝杆延伸率的主要因素，利用多元回归建立了铝杆延伸率的主要影响因素之间的数学模型，为有效地对铝杆进行质量预测与控制奠定了基础。

The empirical formula is gained by using nonlinear regression of those operation points.

在此基础上获得优化模型的数学表达式。

On the experiment stated above, a mathematical model for the oil emplacement is established on the basis of mass balance law and Dacy's law, and a new method to determine parameter has been brought up.

此外，在上述实验的基础上，根据质量守恒定律和达西定律建立起相应的石油驱替数学模型，并提出参数确定的新途径。

This paper describes the working and energy storage principle of the flywheel energy storage equipment.

简述了飞轮储能装置的工作原理和储能原理，提出了该系统的基本结构组成，并在实验和数学推导的基础上给出了其充电和放电过程的控制方案

On the basis of these, the author analyze stress-strain model of rock and soil which is under the groundwater effect, the continuity equation of groundwater when the rock and soil is deformed, and the relation between permeability coefficient tensor of rock and soil and stress field, and brings up the mathematical model of stress-seepage coupling fields.

在此基础上，论文阐明了考虑地下水作用的岩土体本构模型、考虑岩土体变形的地下水流动连续方程和岩土体渗透系数张量与应力场的关系，提出了新的应力-渗流耦合场数学模型。

A new method of obtaining one real root of algebraic equation which is based on the training of single-layer neural network, using the improved rule of is proposed.

提出一种以单层神经网络为基础，利用改进的δ规则进行训练，从而求得实系数代数方程一个实根的新方法，给出了改进的δ学习规则的数学推导和求解代数方程的SNN（Single－layerNeuralNetwork）学习算法，并利用该方法求解了大量代数方程，实验结果表明该方法是有效可行的

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。

In order to simplify control parameters design, the modeling method of equivalent inductance is put forward and Validated by simulation and experimentation.

在此基础上为简化控制系统参数设计，利用等效电感建模法建立了调速系统在复频域内的动态数学模型，并进行了仿真和试验验证。

For example, the Maximum Membership Function Principle is proposed in Chapter 2 on which the presently"scattered" ones among fuzzy mathematical operations for fuzzy control methods such as the acquisition of fuzzy relation, the composition of fuzzy relations and the fuzzy set projection algorithms can be unified to within a common theoretic frame; the geometric criterion for the redundant design parameters is developed for a class of fuzzy supervisory control algorithm in Chapter 4; such concepts as the metric equivalent distance between fuzzy rules are defined to realize the highly efficient reasoning process; consequently the strategy and algorithm for a dynamically commissioned fuzzy controller is given.

如在第二章中，提出了最大隶属度原则，从而将现有模糊控制方法中诸如模糊关系的获得、模糊关系的合成、模糊集的投影等"零碎"模糊数学运算统一到一个共同的理论框架之中；在第四章中，还针对一类模糊监督控制算法推导了其冗余设计参数的几何选取准则；为实现高效推理过程而定义了模糊规则间的距离当量等概念，在此基础上，提出了动态构造模糊控制器的策略和算法。

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。