特征值

In the third chapter,We study some geometric properties and spectral propertiesof the Jacobi operator on a solvable extension G of Heisenberg groups H.In the firstsection,we give the definition of G and some fundamental geometric properties on G.Inthe second section,we discuss the Integrability of certain subbundles and the geometricstructure of the induced foliations in case of integrability.In the third section,we studythe spectral properties of the Jacobi operator of G.

可解李群与类对称空间亦密切相关，Damcek-Ricci空间即是广义Heisenberg的一可解扩张李群，在第三章中，我们构造且研究了Heisenberg群的一可解扩张李群G的几何性质，第一节讨论了G的曲率，李指数映射，整体坐标等基本几何性质；第二章研究了TG的某些子丛的可积性及可积时诱导叶片的几何结构；第三节给出了G的Jacobi算子的特征值和相应的特征子空间。

In order to solve those problems, this article adopts the energy method to analyze the stability of the major frame of steel arch gate to make up the weakness in the current standards and found the calculating models of the stability of the whole major frame of the steel arch gate.

本文主要采用能量法对弧形钢闸门主框架线弹性稳定性进行分析与研究，建立单柱概化弧形钢闸门主框架整体稳定的计算模型，并通过选择合适试解函数，应用能量法给出特征值方程及弧门框架稳定性计算长度系数精确解的公式，提出一个基于该模型方便工程设计的实用计算公式。

Water depth measurements were made using a point gauge, the velocity and turbulence intensities measurements were taken using a three-component acoustic Doppler velocimeter over a grid defined throughout the junction region.

在入汇型河道三维水流结构试验过程中，获得了不同主支汇流比下的水面等值线图、u方向等值线图、u-v方向矢量场、v-w方向矢量场及水流脉动特征值。

The computation methods of the elements of Hessian matrix and the eigenvalues of Hessian matrix are discussed.

讨论了Hessian矩阵元的计算方法和Hessian矩阵特征值的计算方法。

In order to analyze strength and vibration of impellers using finite element method, pre-processing and post-processing are necessary.

对于由于降阶得到的Hermite矩阵的特征值计算，提出了一种改进的子空间迭代方法，并推导了相应的广义雅可比方法的迭代公式。

In this paper, the sparse approximation inverses and eigenvalue translation based preconditioners for Krylov subspace methods are thoroughly researched by situation of research at home and abroad, their internal mechanism are studied also.

本文在国内外关于Krylov子空间方法的稀疏近似逆和基于特征值转换的预处理方法研究状况的基础上，对它们进行了进一步研究，探讨了它们的内部机理。

Based on signal from carbon fiber composite defects such as lamination, hole, looseners in ultrasonic testing, this paper performs wavelet packet transform on the ultrasonic signals to extract statistics of approximation coefficients and detail coefficients that contain a great part of signal energy as sample-features.

摘要本文以碳纤维复合材料常见缺陷分层、孔隙、疏松的超声波检测缺陷信号为研究对象，对超声波检测信号进行小波包变换，提取包含信号绝大部分能量的近似系数波形特征及细节系数的统计量作为样本的特征值。

When the coefficient matrice is index p cycle matrice (p = 3,4,5),we educe the relation between preconditionging Jacobi 、 GS iterative matrices" and classical Jacobi iterative matrices" eigenvalue; As an application, make some preconditioning iterative factors, when classical Jacobi iterative converge, the preconditioning iterative methods may converge faster.

2系数矩阵是指数p=3，4，5循环矩阵时，分别给出了预条件Jacobi、Gauss-Seidel迭代矩阵与传统块Jacobi迭代矩阵二者特征值之间的关系，作为一个应用，通过预条件因子的特殊取值，使传统Jacobi迭代收敛时，预条件块迭代法的收敛速度成倍提高。

According to the structural properties of tuning blade-disk assemblies, the matrix perturbation method is used to analyze the influence of mistuning on the natural vibration characteristics. The formulas for perturbation values of first and second order are derived.

根据谐调叶盘的结构特点，用矩阵摄动法分析了失调对叶盘固有振动特性的影响，推导了孤立特征值和密集模态组二种情况下固有频率和振型的一阶、二阶摄动计算公式。

To the question of the underuse of the search range and sequence in traditional codeword search algorithms, four characteristic values are introduced in the proposed algorithm with adaptive search range and sequence. Test results show that the proposed algorithm can significantly improve the search efficiency with a little extra distortion.

针对传统码字搜索不注重搜索范围和顺序的缺点，本文通过引入四个特征值，提出自适应搜索范围及顺序的快速码字搜索算法，实验表明在引入少量额外失真的条件下该算法可以大大提高码字搜索效率。

Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来，英国，在此地早期居住的是凯尔特人，已经被征服了三次。

Bluetooth OBEX File Transfer Enables the sending and receiving of files on your phone via Bluetooth.

蓝牙OBEX文件移动允许经过蓝牙传送和接受文件。。。。