查询词典 adjoint form

The optimal control law obtained consists of linear analytic functions and a compensation term which is a series sum of the adjoint vectors. The analytic functions can be found by solving a Riccati matrix difference equation and a matrix difference equation. The compensation term can be obtained by a recursion formula that solves adjoint vector equations.

得到的最优输出跟踪控制律由状态向量的线性解析函数和伴随向量级数形式的补偿项组成，其解析函数由一次性求解Riccati矩阵差分方程和矩阵差分方程得到，补偿项由求解伴随向量差分方程的递推公式得到。

The definition of adjoint pair and equivalent condition are discussed. A sufficient condition of adjoint pair is improved.

讨论伴随对定义及其等价条件，改进伴随对存在的一个充分条件。

This research method is independent of Green"s function and variational structure. So it can tackle with the BVP for non self-adjoint and self-adjoint difference equations and overcome the difficulties brought about by the establishment of Green"s function, a study of the sign and the estimate of below and above bounded for Greens function.

本章的研究方法既不依赖于Green函数又不依赖于变分结构，因而能解决非自共轭的差分方程边值问题，且克服了Green函数的建立、其符号的判断及其上下界的估计给研究带来的困难，该方法同样适用于研究自共轭的差分方程边值问题。

By constructing different quotient spaces,using the method of symplectic geometry,the self-adjoint extensions of symmetric differential operators in the direct sum spaces for the different deficiency indices at(2,2)singular points was discussed. The classification and description of complete Lagrangian submanifold that correspond with self-adjoint domains of second order differential operators were given.

由于对称微分算子在端点处的亏指数取值情况不同，当微分算子在端点处的亏指数均取(2， 2)时，通过构造商空间，应用辛几何的方法讨论了直和空间的对称微分算子的自共轭扩张问题，并给出了与二阶微分算子自共轭域相对应的完全Lagrangian子流型的分类与描述。

We discuss a class of second order self-adjoint matrix differential systems with damping term and self-adjoint Hamiltonian matrix differential systems, etc.

在第五、六章中，考虑一类线性泛函g和一类对s偏导数不一定非正的Hk型函数，分别研究了自伴的带有阻尼项的二阶矩阵微分系统和自共轭的Hamilton矩阵微分系统。

The central problem is whether thecommutatoris self-adjoint or not since every observable in quantum mechanics isrepresented by a self-adjoint operator.

对于该不等式的一个中心问题是：交换子i不是自共轭的，也就是说，不是量子力学中的一个观测量。

In Chapter 3,applying the results of the Chapter 1 and 2,we discusssystematically the bound restricting self-adjoint extensions for Sturm-Liouvilleoperator 〓,i.e.,for any constant〓,we find all the possible self-adjoint extensionsL,such that their minimal engenvalue is exactly equal to 〓.

第三章 应用前两章所发展的一般理论，更详尽地讨论Sturm-Liouville微分算子〓的限界自伴扩张（即刻画〓的所有可能自伴扩张L使L以预先给定的常数〓为最小特征值）。

We know that a Killing form is a trace form under adjoint represen-tation.

所谓killing型是指关于伴随表示的迹型。

In this paper, we develop the theory of Killing form over any finite dimensional Hopf algebras, and discuss the deep relations between the non-degeneracy of Killing form and the adjoint representations of Hopf algebras.

中文摘要：本硕士论文的主要内容是在有限维Hopf代数上建立了Killing型的一般理论，揭示了Killing型的非退化性与Hopf代数的伴随表示之间的深刻联系。

The adjoint operator method and the theory of normal form are used to investigated the normal forms in the four dimensional nonlinear systems with cubic nonlinearities. We give two methods to compute the normal form for the four dimensional nonlinear systems. The corresponding Maple programs are also given in the appendix. The results obtained in this dissertation have a completely agreement with the results obtained in other papers.

利用共轭算子法和规范形理论研究了含有三次非线性项的四维系统的规范形，给出了计算四维非线性规范形的两种算法，给出了相应的Maple符号推导程序，所得到的结果与其它文献所得结果完全一致。

He's a pretty westernised kind of guy.

他是一个非常西化的人。

National spirit is the moral kingpin for a nation to realize common ideal and goal.

一、中华民族精神的基本内涵党的十六大报告指出：在五千多年的发展中，中华民族形成了以爱国主义为核心的团结统一、爱好和平、勤劳勇敢、自强不息的伟大民族精神。