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In this paper,we discuss the existence of solutions of asymptotically linear 2p-order Hamiltonian systems with the help of Morse index theory for associated linear Hamiltonian systems .

本文主要利用指标分类理论讨论了渐近线性2p-阶Hamiltonian系统的解的存在性。

In the rest of this dissertation, we apply our above abstract results,"global Morse theory"and other critical point theorems to some semilinear resonant elliptic boundary value problems as well as some asymptotically"linear"or super"linear"p-Laplacian equations, and obtain the existence or multiplicity of solutions.

在后半部分，我们运用上面的抽象结果，以及大范围Morse理论和其他临界点理论，研究一些半线性椭圆共振问题的多重解的存在性，以及一些渐近线性或超线性p-Laplacian方程的解的存在性或多重性。

Research on linear predictive control has become mature and linear MPC has gained wide applications in industrial processes.

基于线性模型的预测控制研究已经相当成熟并得到了广泛的工业应用。

Topics covered by this course are:(1) Simple linear regression,(2) Inference based on fitted regression model,(3) prediction based on fitted regression model,(4) Application of simple linear regression,(5) Verification of regression assumption,(6) Multiple regression,(7) Qualitative independent variables,(8) Multicollinearity, and (9) Stepwise regression.

课程内容包含：（1）简单线性回归；（2）回归模式适合性的推论；（3）利用回归模式的预测；（4）线性回归的应用；（5）回归模式假设条件的检定；（6）复回归模式；（7）质量性独立变数的处置；（8）共线性的探测；与（9）逐步回归分析法。

In Chapter 3, we investigate the delay-dependent stability analysis of linear multistep methods when they are applied to the neutral delay differential equations. We state a necessary condition for any linear multistep method applied to the neutral delay differential equation to be Nτ(0)-stable.

在第3章中，考虑了中立型延迟微分方程线性多步法依赖于延迟的稳定性分析，给出了任意线性多步法是Nτ（0）-稳定的一个必要条件。

For the thrashing due to true sharing of data, we thoroughly study the relationship between array element accesses and loop indices of a nested loop, present a complete set of ideas, theories, and methods with which the staggering relation and the compacting relation between the threads of the nested loop (either with a single linear function or with multiple linear functions) can be determined at compile-time, and accordingly the nested loop (either perfectly nested or imperfectly nested) can be restructured to avoid the thrashing problem.

使用这套理论和方法，我们在编译时就可以确定出嵌套循环（含单线性函数或多线性函数，紧嵌套或非紧嵌套）各线索间的错位关系，一致错位关系和压缩关系，根据这种关系对嵌套循环进行重构可以使真共享抖动问题得到很好的解决。

After discussing the non-linear characteristic of the investment risk series, the thesis investigates several forecasting methods for non-linear risk series including AR model, ARCH model and neural network model.

本文在探讨了证券投资风险时间序列非线性特征的基础上，研究了包括AR模型，ARCH方差补偿型预测模型和神经网络预测模型在内的各种非线性风险预测方法以及组合预测方法。

We discuss the completely tr-rank nonincreasing linear maps on finite vN algebras and prove that a unital self-adjoint and surjective linear map on finite vN algebras is completely tr-rank preserving if and only if it is a spatial 〓-automorphism that leaves the central elements fixed.

我们刻画了有限vN代数上完全迹秩不增的线性映射；也证明了有限vN代数上保单位元的自伴线性满射完全保迹秩当且仅当它是空间〓-自同构且限制到中心上是恒等映射。

Linear memoryless state-feedback control law is derived for two classes of uncertain nonlinear interconnection systems with sector restriction or norm-bounded restriction based on Linear Matrix Inequality. This method doesn't require that two input terms are absolutely controllable for nonlinear delay systems.

基于线性矩阵不等式分别导出了具有扇形角约束和范数有界约束的两类非线性关联不确定系统的线性无记忆状态反馈控制律设计方法，该方法不要求系统的两输入项对系统完全可控。

By the analyses on the existing detector generating algorithms, we achieved the improvement of the linear time detector generating algorithm, which was widely used at present. The efficiency of the linear algorithm was improved by eliminating the reluctant detectors, and at the same time the improved algorithm was ensured to cover the nonself space as much as possible.

在分析已有的检测器生成算法的基础上，改进了目前使用最多的线性检测器生成算法，通过消除冗余的检测器提高了线性检测器生成算法的效率，同时还保证了改进后的算法能够尽可能多地覆盖"非我"空间。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。