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We also give two other kinds of further general- izations: one is to the case of hyperbolic-type degenerate lower dimensional tori in Hamiltonian systems, and the other one is to the case where the Hamiltonian has time-dependent quasi-periodic perturbation.

在第三章中，我们利用法向双曲不变流形理论和尤建功的一个定理的光滑性表述，给出了一个同时具有法向频率和法向分量的推广的KAM定理。

The second is about delay dependent differential equation.

第二类为时滞依赖于状态的微分方程。

Therefore, the supply chain managers should deliberatively evaluate the trade-off effect between the holding cost and the delivery cost, which are heavily dependent on the practical freight discount scheme, so as to obtain the advantageous lot-size and shipment-mode decisions with the minimum total cost in the JIT supply chain.

为达成整体物流成本最小化，供应链管理者须依据实际买卖方成本与运费折扣结构，评估储存成本与运送成本的抵换效应，决定出最佳批量与运送方法决策。

A novel series of naphthalimide dendrimers has been synthesized, into whose dendron novel specific function units are introduced. The absorption and fluorescence properties of the arrays were studied and discussed. Excitation of the terminal donor chromophores carbazole mainly results in the fluorescence of the core dye alone, whose efficiency is dependent on the dendrimer generation.

在树枝上引入特定的功能单元，将多个具有特定功能团连接起来，形成功能化树枝状周边分子团簇，然后将它们分别与核心色素萘酰亚胺相连接，合成新型周边树枝状功能化的有机发光材料。

Polar bears are dependent on pack ice in the Arctic region for hunting, mating and building their dens.

北极地区的浮冰对北极熊而言是不可或缺的，因为那是它们觅食、进行交配和凿洞为巢的重要地点。

Based on the principal investigation of spinner flowmeter, water cut tool and densimeter, it is pointed out that production logging data is strongly dependent upon the changes of flow pattern and flowrate in muttiphase flow.

文章剖析了在多相油气生产井中涡轮流量计、含水率计和密度计的响应机理，认为生产测井结果受流型和流量变化的影响很大。

By using an AD-like neurodegeneration mouse model, we show here that neurogenesis in the dentate gyrus was neurodegenerative stage-dependent.

通过研究类似AD神经退行性变小鼠模型，发现齿状回的神经发生与神经退行性变的阶段是呈依赖性的。

He is such a dependable teacher that we all are dependent on him.

他是一个可信赖的老师，以至我们都依赖他。

Using algebraic dynamical method, we have obtained the exact analytical solutions to the time dependent Schroedinger equations.

我们用代数动力学方法对以上两种系统进行求解，得到了严格的解析解。

These two problems are converted to mathematical problems of solving some matrix inequalities and Riccati equations which are dependent on the time delays.

它们的可解充分条件可以化为与时滞相关的矩阵不等式和 Riccati方程的形式。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。