特征值

For the case of waveduide R~2×M, where M be Zoll manifolds, if the initial data is small enough, we can use the special distribution of eigenvalues of Laplace-Beltrami operator on Zoll manifold, the estimate of the energy and the technique of normal form to prove the existence of global solutions for nonlinear Klein-Gordon equations.

对波管R~2×M上的非线性Klein-Gordon方程，其中M为Zoll流形，如果初值足够小，利用Zoll流形上Laplace-Beltrami算子的特征值的分布，并结合能量估计和法形式技巧，我们证明了整体解的存在性。

The analysis of relationship between eigenvalues and state variables is important to the study of particular dynam ic characteristics in power systems.

电力系统中特征值与状态变量之间的对应关系的分析对研究系统的详细动态特性具有十分重要的意义。

According to the analysis of general sm all signal stability m ethod,the conclusion can be drawn that the algebraic- equation constraints and the coupling between state variables are responsible for the complex dynam ic behavior of the systems.

文中首先对研究系统稳定问题的小扰动方法进行了分析，认为非线性动力系统的代数方程约束和各状态量之间的耦合关系是造成系统动态特性十分复杂的重要原因，进而利用同伦函数的概念给出了一种确定线性化系统中特征值与状态变量对应关系的方法。

Moreover, the stability and bifurcation of periodic motions are studied by means of computing the eigenvalues of its Jacobi matrix.

数值模拟表明了超谐周期运动的存在性判据的正确性，并通过计算Jacobi矩阵特征值可判断周期运动的稳定性及分岔。

Using a set of J-characteristic values denned by Deng and Tang (1999), we define the generalized treatment-defining words, block-defining words and the relative words length.

为此，利用Deng and Tang(1999)所定义的J特征值，我们定义了广义处理定义字，广义区组定义字和它们的字长型。

Ophiolites exposed from Zedang to Luobusha are mainly composed of metamorphic harzburgites, gabbros and basalts.

变质橄榄岩具有低的Al2O3和CaO含量，以富Mg，贫Ti、∑REE为特征，与世界上典型蛇绿岩中方辉橄榄岩的特征值一致。

Repeated eigenvalues occur with high multiplicities in the Laplacian matrices of full binary tree s.

满二叉树的Laplacian矩阵有着高重数的特征值，其中1重复最为频繁。

The results we obtained.are applicable not only to anycases of eigenvalues regardless of their multiplicities,but also to the discussionof the general case of this cquation.

我们所得到的结果不仅适用于任何特征值重数情形，而且可以用来讨论该方程的一般情形。

By doing so, the overestimates of load effect characteristic extreme values are avoided.

经过这样处理，避免了载荷效应特征值的过高估计。

Based on these, parallel computing problem of matrix tensor product is discussed, some parallel computing models are presented, the algorithm complexity is analyzed, and the thought and process are elaborated by an example. block matrix ; tensor product ; permuted similar ; parallel algorithms ; computational complexity

文献〔l论述了Cannon算法在工作站机群上的实现，文献[2]提出了一种基于对角划分的并行算法，文献〔3〕提出了在分布式环境下并行求解对称带状矩阵特征值问题的并行二分/多分法及其改进，文献41给出了稠密对称矩阵三对角化的MPI+OpenMP混合并行算法，还有著名的Cannon

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。