查询词典 alternating differential form

The paper consists of four chapters:In chaper 1, we introduce the background and signficance, research and actuality on oscillation of functional partial differential equations; we present research subject in this paper;In chaper 2, we discuss oscillatory property of systems of parabolic differential equations with delays and obtain necessary and sufficient conditions for the oscillation of their solutions; we show the difference between oscillatory property of systems of parabolic differential equations with delays and that of systems of partial differential equtions without delays; we explain the main results with examples;In chapter 3, we discuss oscillatory property of systems of functional parabolic differential equations of neutral type; we obtain some sufficient conditions for the oscillation or full oscillation of their solutions under some conditions; we explain the main results with examples;In chapter 4, we discuss oscillatory property of systems of functional hyperbolic differential equations of neutral type; we obtain sufficient conditions for the oscillation or full oscillation of their solutions under some conditions; we explain the main results with examples.

全文共分四章：第一章简要介绍了泛函偏微分方程的振动的背景和意义、对其研究的简单历史和现状，给出了本文的主要研究对象；第二章讨论了一类时滞抛物方程组解的振动性质，获得了判断其所有解振动的一个易于验证的充要条件；指出了这类具有时滞偏差变元的抛物方程组解的振动性质和不具有时滞偏差变元的抛物方程组解的振动性质的差异；并举例对主要结果进行阐明；第三章讨论了一类中立型抛物方程组解的振动性质，获得了在给定的条件下其所有解振动或全振动的若干充分条件；并举例对主要结果进行阐明；第四章讨论了一类中立型双曲方程组解的振动性质，获得了在给定的条件下其所有解振动或全振动的若干充分条件；并举例对主要结果进行阐明。

First of all,we have given some of the basic concepts of differential equations, described the constant coefficient linear ordinary differential equation solution, for a class of second-order variable coefficient linear ordinary differential equation initial value problem, an approximate solution, the method is first unknown function of a definition for N sub-interval, and then in between each district within a constant coefficient ordinary differential equations similar to the replacement, the solution has been the problem as similar to the original analytical solution, and then gives a detailed second-order change order coefficient of linear homogeneous ordinary differential equation solution examples, the examples of the approximate method proposed in this paper is valid.

首先给出了微分方程的一些基本概念，讲述了常系数线性常微分方程的解法，针对一类二阶变系数线性常微分方程初值问题，提出了一个近似解法，本方法是先对未知函数的一个定义区间作N等分，然后在每一个小区间内用一个常系数常微分方程近似替换，所得到的解作为原问题的近似解析解，随后详细给出了一个求二阶变系数齐次线性常微分方程的解的实例，该实例说明本文提出的近似方法是有效的。

In order to obtain more general solution of second order linear differential equation with constant coefficients, which is important in theory and practice, on the basis of knowing a special of the second order linear differential equation with constant coefficients and by using the method of variation of constant, the second order linear differential equation with constant coefficients is transferred to the reduced differential equation and a general formula of the second order linear differential equation with constant coefficients is derived.

为了更多地得到理论上和应用上占有重要地位的二阶常系数线性非齐次微分方程的通解，这里使用常数变易法，在先求得二阶常系数线性齐次微分方程一个特解的情况下，将二阶常系数线性非齐次微分方程转化为可降阶的微分方程，从而给出了一种运算量较小的二阶常系数线性非齐次微分方程通解的一般公式，并且将通解公式进行了推广，实例证明该方法是可行的。

Content: By learning this course, students should grasp the elementary solution of first order differential equation, the structure theory of linear differential equation or system of linear differential equations and the solution of constant coefficient differential equation or system of constant coefficient differential equations.

主要内容：通过对本课程学习，使学生掌握一阶微分方程的初等解法、线性微分方程的结构理论和常系数方程的解法，对微分方程初值问题的一些基础理论有一定的了解，对

Limited slip differential is improved according to common differential. Not having the common differentials disadvantage of dividing the torque into two equal parts, limited slip differential can give most torque or even all torque to another driving wheel which is not revolving in order to make use of the friction of this driving wheel to produce enough traction. This will greatly increase the dynamical capability, the passing capability, the stability and the safety of automobiles on different friction roads. So limited slip differential is substitute for common differential.

防滑差速器是对普通差速器的革新与改进，它克服了普通差速器只能平均分配扭矩的缺点，可以使大部分甚至全部扭矩传给另外一个不滑转的驱动轮，以充分利用这一驱动轮的附着力而产生足够的牵引力，大大提高了汽车在双附着系数路面上的动力性和通过性，显著改善了汽车操纵稳定性，有效地提高了汽车行驶安全性，是普通差速器的理想替代产品。

This paper investigates alternating iterative method and generalized alternating method for the solution of a large linear system, extend the convergence theorem and comparison theorem for generalized or alternating iterative method when the coefficient are Hermitian positive definite systems.

本文主要研究了大型线性方程组的交替迭代法及迭代法的各种变形，给出了当系数矩阵为Hermitian正定矩阵时各类迭代法的收敛原理及其相应的比较理论。

The welding of end ring of alternating current machine and the conducting bar is the key technology for manufacturing of asynchronous traction motor with high power. China South Locomotive and Rolling Stock Industry Corporation had taken this significative study as a key project for the manufacturing of alternating current machine. According to the welding of end ring of alternating current machine, the welding of copper and copper alloy is described in this paper. Results obtained in this study are as follows. 1.By the comparison of oxyacetylene gas brazing, induction brazing and resistance brazing, it was found that high-quality welding joint could be obtained by induction brazing, which also had the highest efficiency.

交流电机端环与导条的焊接是大功率异步牵引电动机制造的一项关键技术，开展其焊接工艺研究具有重要的意义，中国南车电机公司将此课题作为解决交流电机制造的一个重点项目，本文结合交流电机转子端环焊接的课题，对铜及其合金的焊接进行了研究，主要研究结论如下： 1、通过氧乙炔火焰钎焊、感应钎焊、电阻钎焊等焊接方法的对比试验发现感应钎焊可获得优质的焊接接头，且感应钎焊的焊接效率也是最高的。

Adopt ASP. NET 2003 is regarded as the developing instrument, the design of storehouse of the data follows 3 normal form :, have designed the coding schedule of goods and materials mainly, tombarthite product structure catalogue, basic information slip of the job centre, route form of the craft , project code of the expenses, journal ledger of the cost of goods, subsidiary ledger of the cost of goods, department's form, measurement unit form, the supplies inventory safeguards the counting type structure form, real expenses form, share the proportion form in power of kinetic energy, salary expenses share proportion form, amortization charge share proportion , maintain expenses share proportion , test expenses share proportion , main frame left menu tree form , material price list ,etc. data list

采用ASP 。NET 2003作为开发工具，数据库设计遵循第三范式，符合第二范式的条件，每个非关键字属性都仅由关键字决定，而且一个非关键字属性不能仅仅是对另一个非关键字属性的进一步描述(即一个非关键字属性值不依赖于另一个非关键字属性值)。，主要设计了物资编码表、稀土产品结构目录表、工作中心的基本情况表、工艺路线表、费用项目编码、产品成本总帐、产品成本明细帐、部门表、计量单位表、物料清单维护数型结构表、实际费用表、动能功率分摊比例表、工资费用分摊比例表、折旧费用分摊比例、维护费用分摊比例、化验费用分摊比例、主框架左菜单树表、材料价格表等数据表。

The second-order linear homogeneous differential equations in differential equation theory occupies an important position, but the second order differential equation has no general solution method, most of the solutions of these equations is difficult to obtain analytical expressions and even some impossible to obtain the solution of the form, and the second order differential equation solving is divided into homogeneous and inhomogeneous problems.

二阶线性齐次微分方程在微分方程理论中占有重要位置，但二阶变系数微分方程却没有一般的求解方法，大多数这类方程很难求得解的分析表达式甚至有的根本不可能求得其解的分析形式，并且二阶变系数微分方程的求解又分为齐次的和非齐次的问题。

By the natural and harmonious relationship between differential forms and differential equations and between differential forms and vector analysis, we discuss the properties, which are covariant under the transformation of coordinates in the framework of differential forms, of particle motion in a central force field .

通过微分形式与微分方程和向量分析之间存在的自然而协调的关系，在微分形式框架下讨论了质点在有心力场中运动的特性并得出在坐标变换下其均是协变的

Warden: That's a beautiful dog, but don't bring her again.

那是条漂亮的狗，但是不要再把她带来了。

You get up in the morning – no hangover!

你第二天早上起来的时候—不会宿醉！