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differential algebra
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  微分代数
    With the development of the computer and the constantly expanding of it's applied domain, symbol computation present gradually powerful bioenergy. In this paper, using the computer algebra as the tool and the differential algebra as the background , we discuss the theory of "AC=BD" and the differential characteristic method and their application in the differential equations .
    随着计算机的发展和应用领域的不断扩大,符号计算在数学领域中体现出了日益强大的生命力,本文就是以计算机代数为工具,微分代数为理论背景,讨论了“AC=BD”理论及微分特征列法的相关理论问题以及它们在微分方程组中的应用。
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    The dimension of the differential ideal is an important concept in Differential Algebra. Much work has been done in computing the dimension by using Hilbert polynomial.
    微分理想的维数是微分代数中一个重要的概念 ,利用 Hilbert多项式来计算微分理想的维数 ,计算量较大 .
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  “differential algebra”译为未确定词的双语例句
    The connection is obtained based on techniques of differential algebra. Applying the result to Burgers equation and Burgers KdV equation,we prove that both equations have only one conservation law.
    通过文本给出的结果 ,我们研究了Burgers方程和Burgers KdV方程的可积性 ,证明了这两类方程都只有一个守恒率 .
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  differential algebra
The present method depends on a result from differential algebra andp-adic analysis.
      
The Heisenberg double of these two exterior Hopf algebras defines the differential algebra for the Cartan differential calculus on .
      
In the approach based on the global covariance with respect to the stability subgroup U(1), we show that the gauge-covariant exterior differential algebra on SUq(2) is uniquely determined.
      
Each system of partial differential equations generates an ideal in some differential algebra.
      
We consider tensors with coefficients in a commutative differential algebra A.
      
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A negative exponential corrector for the mixed differential-algebra equations of the largedeployable antenna of satellite is presented. The corrector reduces the parameter range of the oscillatory-type corrector and makes the numerical integration of models of dynamics of flexible multi-body systems simple and reliable.

采用具有单调速降性质的负指数函数对混合方程组进行违约修正,缩小了振荡型违约修正的参数范围,使模型计算更加简单、可靠.

By using pseudodivision algorithm of matrix multivariate polynomial and way of differential algebra,the sufficient and necessary conditions for transform a class of partial differential equations into infinite demensional Hamiltonian system and Hamiltonian forms are given,and give some examples to justify this method.

利用矩阵多元多项式的带余除法以及微分代数的观点得到把一类偏微分方程(组)化为无穷维Hamilton系统的充要条件及其具体无穷维Hamilton系统形式.

A symbolic computation method to decide whether the solutions to the system of linear partial differential equation is complete via using differential algebra and characteristic set is presented.This is a mechanization method,and it can be carried out on the computer in the Maple environment.

从微分代数的角度出发 ,借助于吴微分特征集理论 ,对于线性偏微分方程组 ,给出了判定它的解的完备性的一个符号计算方法· 这个算法是一个机械化的算法 ,借助于符号计算软件Maple ,可以在计算机上实现

 
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