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The Laplace matrix is an active and important subject in Algebra Graph Theory. It is a discrete form of the Laplace operator on the compact Rimannian manifold acting on the graphs. It has been widely used in many fields such as Physics, Chemistry, Biology, Computer net science and Information theory ,etc. Some results on the Laplace matrix are given in this thesis.

本文主要研究了代数图论中的一个课题：单圈图的Laplace谱，它是黎曼流形上的拉普拉斯算子在图上的离散形式，Laplace矩阵在物理、化学、生物和计算机通信网络研究等学科中有着广泛的应用。

In the forth chapter, by employing the comparison theorem in theory of difference equations together with pure analysis, we get sufficient conditions for permanence of a class of ratio-dependent discrete system.

第四章运用差分方程理论中的比较定理和纯分析的方法得到离散系统持久性的充分条件。

A new perfect form of discrete signals, binary complementary sequence pair set, is presented under aperiodic correlation conditions.

在非周期相关条件下提出了一种新型最佳离散信号形式－二元互补序列偶集。

With the holo-encoding display of complex transform domain, the visualization of z transforms of discrete signals and systems is studied.

本文采用全息编码显示的方法，把小波变换谱的表示变得十分直观和紧凑。

For discrete random effect model, the testing of variance component is studied and the score test statistics are obtained.

在离散型情形，用随机效应法研究了该模型的方差成分检验，得到了检验的Score统计量。

Equal forms with multiobjective function optimization of composite structure,which is suitable for genetic algorithm solving, is constructed. Expression of optimal problem with chromosome including discrete mixed with continuous variables are established.

用评估函数法构造了适用于遗传算法求解的复合材料结构多目标优化问题的等价表达形式，给出了离散变量与连续变量混合优化问题解的染色体表示。

It is based on the difficulty of computing the discrete logarithm modulo for a composite number and the factorization problem of large integer.The size of the group signature and verification time of the group signature are equivalent to that of an individual signature.

该方案的安全性是基于求离散对数和RSA大整数因式分解的困难，其群签名长度和群签名的验证时间只相当于一般个人签名。

Formalization verification of service composition based on Process Algebra and Discrete Time Ambient-Calculus, as well as combinatorial optimization and the partition method based on QoS mathematic model are deeply studied. The service composition architecture supporting formalization verification and QoS-aware composition has been also implemented. Furthermore, the architecture is applied to digital cartoon cooperation manufacturing in the Internet.

为实现动态的跨企业业务协作与集成，本文围绕服务组合行为的正确性检验以及服务质量保证这二个正交的性质，深入研究了基于进程代数Pi演算及离散时间Ambient演算的服务组合形式化检验，以及基于QoS数学模型进行精确计算的服务组合优化与划分方法。

Under a lower pressure, the relationship between C/H and CO adsorption quantity was a beeline and the CO adsorption quantity increases with the of C/H ratio. The relationship between C/H and CO adsorption is a concave curve with the pressure increasing, and the higher the pressure, the higher the discrete degree.

当压力较低时，C/H与吸附量呈直线关系，随着C/H的增加而增加；随着压力的升高，C/H与煤对CO吸附量之间呈凹形曲线关系，压力越高离散度越大。

This problem is usually placed on telephone or data concentrator in the discrete logic level converter to solve.

这个问题通常用置于电话或数据集中器中的分立逻辑电平变换器解决。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。