数学基础

From the lifespan of relay point of view, a reliability criterion was provided based on dynamic characteristics of anti-forces. Mathematical model of tolerance design with reliability was set up under usage of "stress-strength interference method", taken some critical dynamic characteristics as identification objects such beginning of contact separation speed, speed of collision and gag bit impact velocity. This model showed that lower values of characteristic parameters center and quantitative descriptively relationship between tolerance and product reliability. Multi-objective optimization model of relay tolerance distribution was completed when some factors such as reliability, processing costs and its feasibility into consideration. Based on Analytic Hierarchy Process to determine weight coefficients of various objectives, and usage of simulated annealing, this study performed optimal reliable tolerance allocation of space electromagnetic relay, and then key technology segments were analyzed, accompanying its course measured by controlling chart.

从继电器电寿命的角度，基于动态吸反力特性的配合提出了继电器的可靠性判别准则；在此基础上以触点分离初速度、触点碰撞速度以及衔铁碰撞速度等关键动态特性为判别对象，采用"应力-强度干涉法"建立了继电器可靠性容差设计数学模型，给出了下位特性参数中心值及其容差与产品可靠度之间的定量描述关系；综合考虑可靠度、加工成本及加工可行性等因素建立了继电器容差分配的多目标优化模型，基于层次分析法确定了各目标的权重系数，并采用模拟退火法实现了航天电磁继电器的可靠性容差最优分配；研究了继电器的关键工艺环节，并通过控制图对其过程能力进行了分析。

Nowadays with the rapid development of knowledge economy and information, mathematics, a basic tool subject in science and technology, its importance is becoming more and more obvious.

数学，做为一门科学与技术的基础和工具学科之一，在今日飞速发展的知识经济和信息时代，其重要性已愈加突出。

The main contributions of the dissertation are concluded as follows: 1 A mathematical basis of the exchange of product data----the Set-based model mapping is established. The shape model mapping, such as the 1: 1, 1: n and n: n topological and geometrical mapping, is especially analyzed.

总结下来，论文做出了以下几个方面贡献：(1)建立了产品数据交换的数学理论基础——基于集合的模型映射，重点研究了在产品数据模型映射中具有代表性的形状模型映射，给出了一到一、一到多和多到多的拓扑几何映射分类。

Based on the torsional oscillation theory of diesel shafting,this article analyses the measured signal values of measuring power by shaft s deformation.

在柴油机轴系扭振理论的基础上对通过轴应变来测功的测量信号量进行分析，并通过实例证明了这种分析在对测量信号量进行数学处理中的重要意义。

Based on the concepts of total differential and definite integral, a new method is derived theoretically to determine contributions of individual source real or reactive power to branch MVA loss.

本文首先分析了几种常见的网损分摊方法，指出了它们的不足；并在此基础上提出了基于严格数学推导的复功率电源的支路功率分量理论。

Based on the analysis of the mathematics models of saturation steam density and superheat steam density the paper states that the deviation of the detection on temperature highly affects the accuracy of intelligent flow totalizer.

文摘：在分析饱和蒸汽和过热蒸汽密度的数学模型的基础上指出，温度检测的偏差对智能流量积算仪的精度影响极大，尤其是饱和蒸汽，测温电路的精度应设计为远高于仪表的精度，同时引入一种基于比率法的高精度测温电路。

In this paper, based on summarizing previous numerical studies on wave transformations, deriving an extended form of mild slope equation, which is taken as the governing equation. The equation simulates wave transformation in offshore area with finite difference.

本文在总结概述前人关于缓坡方程波浪数学模型的基础上，推导出一改进型缓坡方程，并以此为控制方程，采用有限差分方法，模拟近海海域的波浪变形。

Third, the application of MAOST is extended to the surface of 3-D rotary object to measure which formulas of coordinates transformation in cylindrical coordinates are given, and a useful algorithm is put forward to calculate those complicated formulas.

本文建立了多孔径扫描拼接测量的物理模型和数学模型，提出孔径拼接的本质是坐标变换，导出了直角坐标下测量大型平面物体面形的坐标变换公式，在此基础上进行了大平面测量的计算机模拟和实际干涉测量，结果表明，当孔径放大系数为2.34时实测精度优于λ/60。

The one-dimensional mathematical model for the combustion and heat transter in boiler furnaces was built in this thesis.

在对煤粉锅炉炉膛燃烧、传热过程进行理论分析和合理简化的基础上，本文建立了煤粉锅炉炉膛燃烧、传热一维数学模型。

Integrated the section and member analysis a program, an integrity analysis program is designed, which could analyze a simple supported beams bearing concentrated load in trisection point or uniform load.

Mathematica软件的符号式解答，使得程序的分析可以得到描述无粘结预应力混凝土特性的分析数学表达式，为进一步的理论分析研究奠定了基础。

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。