查询词典 differential algebra

This dissertation is changed into two parts. The first part, the theory and application about Wu-Ritt differential characteristic sequence method are discussed, which involves the theories of differential equations, abstract algebra and computer algebra etc.

本文共分两部分，第一部分讨论微分特征列法的理论和应用问题，涉及到微分方程，抽象代数，计算机代数等重要学科。

Differential Algebra related to the idea of AC = BD are presented firstly in chapter two.

最后提出了C-D分离变量的概念，予以形式分离变量法新诠释。

In recent years, some new research methods such as mordern geometric method and differential algebra method have been applied to the study of control theory according to the development of nonlinear science, and it is possible for us to solve complicated enginering systems with the development of computer science, which promotes the investigation of complicated control systems.

近年来，非线性科学的发展，特别是现代微分几何，微分代数理论的出现，为非线性控制理论的研究提供了新的工具。

There are two main disadvantages in the present differential algebra equation model used in AC/DC system: one is that 'dimensional calamity' can occur with the increment of DC transmission lines

目前普遍使用的AC/DC系统的微分代数模型主要存在2大缺陷：①随着直流线路的增加可能出现"维数灾难"问题

There are two main disadvantages in the present differential algebra equation model used in AC/DC system: one is that 'dimensional calamity' can occur with the increment of DC transmission lines; another is that it is difficult to deal with the switch of DC control mode.

目前普遍使用的AC/DC系统的微分代数模型主要存在2大缺陷：①随着直流线路的增加可能出现"维数灾难"问题；②不易处理直流控制方式的切换，计算繁杂。

To obtain state matrix A of linear differential algebra equation, the equation set of the model, then the eigenvalue of state matrix A and its effection on sensitivity of excition system are calculated by QR method.

对模型方程组进行线性化，得到线性微分-代数方程的状态矩阵A；使用QR法，计算状态矩阵A的特征值及特征值对发电机励磁系统参数灵敏度。

In most situations, the polysome system dynamic equation is the non-linearity the ordinary differential equation or the differential - algebra system of equations, it is generally obtains the equation through the computer value simulation then get the numerical solution, then through to numerical solution analysis, understanding polysome system dynamics characteristic.

多数情况下，多体系统的动力学方程是非线性常微分方程或微分-代数方程组，一般是通过计算机数值仿真得到方程的数值解，然后通过对数值解的分析，了解多体系统的动力学特性。

The solution can't already behalf the real movement of the constraint multibody system so the default of the constraint equation must be restrained; On the other hand is how to turn the differential — algebra hybrid equations into the pure differential equations effectively.

得到的解已经不能表示约束多体系统的真实运动，所以必须对约束方程的违约进行抑制；另一方面是怎样有效地将微分—代数混合方程组化为纯微分方程组，运用求解微分方程组的计算方法求解。

Since the different dynamics methods such as Newton-Euler method, Lagrange's equations and other methods can be used to develop the dynamic equations of global system, the two different forms of the dynamic equations are ordinary differential equations and differential algebra equations.

通过结合有限段法和多体系统动力学离散时间传递矩阵法，形成了非线性梁有限段离散时间传递矩阵法，该方法保留了有限段法适用于几何非线性大变形分析、自动考虑动力刚度项等优势，又保留了DT-TMM-MS建模方便灵活的特点。

In this paper, based on the flexible multibody dynamics model of the virtual axis hybrid polishing machine tool, the differential — algebra hybrid equations is calculated by the Newton- Raphson method. The variety of the moving displacement, the velocity and the acceleration for the moving platform, leg, slider on the 3- PTT parallel mechanism and the pose curve of the series mechanism are obtained.

论文主要完成了在已经建立的虚拟轴混联研抛机床多柔体动力学模型基础上，应用牛顿—拉斐逊（Newton-Raphson）数值计算方法求解微分—代数混合方程组，得到3-PTT并联机构动平台、支杆、滑鞍各部件的运动轨迹、速度和加速度变化规律，以及串联机构的姿态变化曲线。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐