渐近的

E. , it can not only determine the spin of the chosen operator directly and uniquely, but it is also able to calculate the mass of glueball state with arbitrary pointed quantum number J〓.

为此，本文将群表示论的结果和算符的渐近展开结合起来，提出了一种新的方案，这种方案可以解决传统方法所面临的问题，不但可以唯一直接地确定所选算符对应态的自旋，而且可以计算任意自旋态的胶球质量。

In Chapter 4 and Chapter 5, we discuss the quadratic finite element space with Regular mesh and the one with Criss-Cross mesh. We can respectively obtain the finite element asymptotic expansions and extrapolations in these situations. The high accuracy combination formulas are constructed.

在本文的第四、五章中，我们将在第二、三章中所使用的方法分别推广到Regular网格与Criss-Cross网格下的二次有限元空间中，得到了这两种情形下的有限元的渐近展式与外推结果，并构造出了相应的高精度组合公式。

The improved criteria on the constraint conditions of kernel functions in our results should also provide a better understanding of the asymptotic properties of the ESD of large dimensional sample covariance matrices.

具我们结果中核函数的限制的改进准则，可以对大维样本协方差矩阵的经验谱分布的渐近性质有一个更进一步的理解。

The asymptotical properties of KdV equation and KP equation exhibit the soliton behavior when some conditions are satisfied, and in some cases the parameter matrices describing the interaction between two solutions is quite simple. Two kinds of solutions of the second coupled equations of AKNS hierarchy are provided and applied to NLS equation. A systemical way of construction of special solutions is also tried for DS equation. Most of the results on a scalar equation can often be directly generalized to some matrix equation, and the difference between the ω in scalar form and ω in matrix form lies only in the replacement of vector p, q by matrices p, q.

对KdV方程和KP方程渐近性质的讨论显现出解在一定条件下的孤子特性，从而使得一些情形下，同类解的相互作用体现在参数矩阵上变的较简单；我们给出了AKNS方程的两类不同解，并约化到NLS；对DS方程，我们从另一个方面初步探讨了形式化推导矩阵方程特解的方法；把这些有关标量ω的结果推广到ω为矩阵上往往只要把p，q变为矩阵即可，进而可以再推广到方程组上。

Using the known results on CCF of m-sequences, the parameters of LCZ sequence sets obtained from composite GMW sequences are analyzed and then two classes of asymptotically optimal binary and multiphase LCZ sequence sets are obtained.

利用m-序列互相关特性的已知结果，论文比较分析了由GMW序列的复合序列得到的具有低相关区的序列集的参数，得到了两类渐近最佳的二元和多相序列集。

We consider the nonlinear Boussinesq waves and other two nonlinear waves in the Sobolev space or classical space.

如果受控的初值或受控的初边值满足一定条件，相应的非线性波方程在Sobolev空间中的渐近理论可以用来分析自然界中的一些现象。

According to this algorithm, it is shown that the bifurcated periodic solutions through Hopf bifurcations at the first critical value of delay are orbitally asymptotically stable on the center manifold and the bifurcated periodic solutions through Hopf bifurcations at other critical values of delay are unstable.

根据这一算法，发现在时滞的第一个临界值处通过Hopf分支产生的周期解在中心流形上是轨道渐近稳定的，而在其它临界值处通过Hopf分支产生的周期解在中心流形上是不稳定的。

Be based on these conditions, construction gives strict linear matrix inequality , filling property proved the Schur that uses matrix next to be below the condition of linear matrix inequality, system of earning closed circuit is asymptotic stability, specific condition feedback gave out to control a law in the meantime.

基于这些条件，构造出严格的线性矩阵不等式，然后利用矩阵的Schur补性质论证了在线性矩阵不等式的条件下，所得闭环系统是渐近稳定的，同时给出了具体的状态反馈控制律。

Chapter 4 proves the strong law of large numbers,Glivenko-Cantelli Lemma underΓ-weak dependence, and we can further investigate moment inequalities for associated r.v.s.in terms of this dependent coefficient.

第五章我们在Wasserstein距离意义下根据随机变量序列的有限维联合分布以及它的边际分布的乘积之间的渐近独立性提出了一种新的相依系数，并且给出了一些具体的例子。

In order to reduce the effects of packet dropout on the system, a dropout compensator is added to the system, and a model for networked control systems with stochastic delays and dropout compensators is constructed, Based on this model, the sufficient conditions for the system asymptotical stability,γ suboptimum and optimum are given, and the output feedback control law for system H(subscript ∞) optimal control is obtained.

为了降低数据包丢失对系统稳定性的影响，在系统中增加了补偿器，并建立了具有丢包补偿器和随机网络诱导时延的NCS模型。在此模型的基础上，给出了系统渐近稳定和γ次优、最优的充分条件，并且获得了系统最优H控制的输出反馈控制律。

Recall that, in the Kolmogorov axiomatization, measurable sets are the sets which have a probability or, in other words, the sets corresponding to yes/no questions that have a probabilistic answer.

延期开工的Kolmogorov宣布要衡量所有套职能有限许多坐标限制在于衡量子寅。换句话说，如果是/否的问题回答f可看的价值观念在许多最有限坐标，然后它有一个概率的答案。

The experimental results showed that the algorithm can filter singular points and remain fixity of the target edge.

实验表明：基于模糊理论的图像智能滤波方法比常规图像滤波方法运算量小，它既能去除奇异点，又能保持图像中目标的边缘不变性，具有很好的滤波效果。