讨论

We discussthe propertiesofthe adjoint operator of unilateral weightedshift,prove that is astrongly irreducible Cowen- Douglas operator, and compute the 0 group of the commutant algebra of .

计算了代数я={f：f在开圆D盘上解析，在■上连续}的K_0群，讨论了内射单边加权移位算子的伴随算子的性质，证明了是强不可约的Cowen-Douglas算子，然后计算出的换位代数的K_0群

How to establish the adjoint medel is discussed by using the Gateaux differential of function and the concepts of the adjoint operators in Hibert space. At the same time it is verified that selecting proper finite difference scheme can ensure discrete form remaining the same adjoint r...

文中利用泛函的Gateaux微分和Hilbert空间上伴随算子的概念讨论了连续的伴随模型的建立，并通过选择适当的差分格式离散伴随模型，使其保持连续时的伴随关系，同时给出了水温初始场最优化过程及相应的同化试验数值结果。

We discuss the relation between elementary maps and ring isomorphisms, andwe give a characterization of elementary maps on stndard operator algebras on Banachspaces, JSL-algebras and nest algebras. For Jordan-triple elementeary maps, we provetheir additivity on a class of ring and show a relation of them with Jordan isomorphisms. Furthermore. we describe the Jordan elementary maps on standard operator algebrasand nest algebras. We also study the semi-Jordan elementary maps on effect algebrasand the space of self adjoint operators.

研究了算子代数上的初等映射和环同构的关系，完全刻画了Banach空间上标准算子代数，JSL代数和套代数上的初等映射；讨论了Jordan-triple初等映射的可加性以及它和Jordan同构的关系，进而完全刻画了Banach空间上标准算子代数和套代数上的Jordan-triple初等映射；刻画了效应代数和自伴算子空间上的semi-Jordan初等映射。

Exact linearization problems of general nonlinear control systems were discussed. At first, it defined an adjoint system by introducing an affine nonlinear system.

摘 要：讨论了一般非线性控制系统状态方程无反馈精确线性化及反馈精确线性化。

In the second chapter, the problem of the optimal inputting rate control for a class of competitive population dynamics system with age-structure is discussed. By means of characteristic line, Gronwall Lemma, Bellman Lemma, adjoint system and so on, the Lipschitz continuity properties of the system in terms of the control variable is certificated, and the necessary condition of the optimal control is obtained.

第二章讨论了一类具有年龄结构的竞争种群系统最优输入率控制问题，综合应用特征线法，Gronwall引理，Bellman引理，共轭系统等知识，证明了系统解关于控制变量的Lipschitz连续性，给出了控制为最优的必要条件。

Sensitivity analysis of objective function is performed by applying adjoint sensitivity analysis method.

数值算例证明研究方法的有效性，并分析和讨论优化模型和收敛格式中有关优化设计参数对柔性机构优化设计结果的影响。

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。

We'll adjourn here for lunch and discuss the remaining issues this afternoon.

我们现在休会吃午饭，下午继续讨论余下的问题。

The chairman suggest that we should adjourn for a week, so that each of us have more time to do enough preparation for the discussion.

会议主席提议休会一星期，这样每一个人都能有更多的时间，为讨论作好充分的准备。

We'll adjourn the meeting here and discuss remaining issues after lunch.

我们现在暂时休会，午饭后再讨论剩余的问题

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。