查询词典 eigenvalue

The distribution of gear's contact stress, root stress, and contact engagement line in the engagement situation of gear pairs, were obtained on the base of explicit integration method. 3. Adopting the method of system matrix, the torsional vibration differential equation of general shafting was gained. The simple harmonic forms of excitation torque under the normal combustion or piston flameout of in-line engine and v-type engine were analysed. The decoupled algorithm of free vibration and forced vibration and the solution to the vibration damper's energy of resistance and the off-resonance calculation were studied. The sensitivity formulations of the natural frequency and vibration mode to physical parameters of system were derived by solving the eigenvalue problem. These sensitivity formulations provided the theoretical base for the dynamic modification of structure.

运用系统矩阵法建立了轴系的扭振微分方程，并对直列和V型发动机在正常发火和气缸熄火工况下的激振力矩进行了详细的简谐分析；基于精确方法推导了自由振动和强迫振动的解耦算法，给出了能量法计算中的减振器阻尼功求解和非共振计算方法；并研究了曲轴系扭振非线性分析中的变惯量问题，得到了单缸转动惯量的精确求解公式以及变惯量和固有频率的关系式；最后，从特征方程和振型正交性出发，推导了固有频率和振型对轴系转动惯量和刚度等物理参数的灵敏度，为扭振系统的结构动力学修改提供了理论基础。

Firstly, a simple closed-form MIMO channel capacity formula is derived by using the eigenvalue distribution of Wishart matrix.

首先，利用Wishart矩阵的特征值分布，导出了一个简单闭合的MIMO信道容量公式；然后基于此公式，得到了MIMO信道容量在高信噪比时的渐近界，解析地反映了随着信噪比的逐渐增加，MIMO信道容量与信噪比和收发天线数目的最小值呈渐近的线性关系；最后，计算机仿真验证了所提出的MIMO信道容量公式及其渐近界的正确性。

The Multi-Point Effect in frequency domain is studied, and the analytical procedure is simplified to some extent, that is, the responding data is accurate enough only with the input according to the first four degressively arranged eigenvalue of earthquake power spectrum matrix.

频域内多点效应与时域内有不一致的地方，即对于240米高的超大型坝，对于竖向永久位移最大的坝顶部位和损伤值原本就比较高的坝顶及斜坡部位，频域内多点输入比单点输入的永久位移和损伤值反应要大些。

The Multi-Point Effect in frequency domain is studied, and the analytical procedure is simplified to some extent, that is, the responding data is accurate enough only with the input according to the first four degressively arranged eigenvalue of earthquake power spectrum matrix.

对于240米高的超大型土石坝，相关程度越小，坝顶竖向永久位移和易破坏单元的损伤值越大，当竖向与水平向地震动强度接近时，这一规律更明显。时域和频域内这一规律是一致的。

In chapter Ⅰ, a historial review of structure control is given; In chapter Ⅱ, A discussion of the controllability and observablity of flexible structures is given, Two kinds of controllability and observablity index are defined, and applied to actuator allocation; chapter Ⅲ considers the reduction of high order flexible structure mode; the content of chapter Ⅳ is about the basic problem of distributed parameter control system design. It is proved that a stable controllor in mode space may be unstable in real use in distributed paramater systems, also, by closed loop mode concept, a pole assignment method of flexible structure controllor design is given; chapter Ⅴ is about the low-authority controllor design, it is pointed out by use of high order eigenvalue/eigenvector perturbation, a better controllor can be designed; chapter Ⅳ considers flexible structure reduced order control; chapter Ⅶ disscusses the basic problem of flexible structure computer control, analyses discreate controllablity and observablity and its computing, the sample period and coefficient wordlength; chapter Ⅷ is on the problem of low flexibility compensation; chapter Ⅸ is a design example.

在第一章简要回顾了挠性结构控制的历史，并且指出控制中的一些问题；第二章讨论了挠性结构的能控性与能观性，定义了两类能控性程度和能观性程度指标，还将能控性程度概念应用于执行器位置的确定；第三章论述了高阶模型的降价问题，比较了适于挠性结构模型降阶的方法，指出其适用范围；第四章内容是分布参数系统设计的基本问题，首先证明在模态空间中设计的稳定的控制器在实际分布系统上可能是不稳定的，进而根据闭环模态的概念，获得挠性结构控制器设计的极点配置方法；第五章的内容是关于低权控制器的设计问题，指出利用特征值高价摄动和特征向量的摄动，可以设计出更加完善的低权控制器；第六章讨论挠性结构降阶控制问题；第七章讨论挠性结构计算机控制的基本问题，分析了时间离散化模型的能控性和能观性及其计算问题，讨论了采样周期选择和系数字长问题；第八章讨论低挠性结构的补偿问题；第九章的设计例子用来说明第二章和第四章的结果。

Firstly, it introduced the import principium resolving thread and steps of analytic hierarchy process. Secondly, it erected model of population modernization, which based on the steps of analytic hierarchy process. Lastly, it got the maximal eigenvalue of dissymmetric matrix and corresponding eigenvector with SAS, and normalized the eigenvector to get weight value.

本章分为两部分，第一部介绍分析法的提出、原理以及解决问题的思路和步骤；第二部建立模型确定权重，根据层次分析法的原理和步骤，建立人口现代化指标体系的模型，运用SAS求解所构造的非对称判断矩阵的最大特征值，从而得出所对应的特征向量，变形后得到权重。

Based on the relationship the restarted selective reorthogonalization Arnoldi method for the gyroscopic eigenvalue problem was formulated and implemented.

以此为基础形成了具有迭代特点的减缩式求解方法，即重起动的选择性重正交陀螺Arnoldi法。

Schur-Rayleigh-Ritz accelerated subspace iteration method: Schur-Rayleigh-Ritz accelerated subspace iteration method was applied to the gyroscopic eigenvalue problem.

2Schur-Rayleigh-Ritz加速的子空间迭代法将Schur-Rayleigh-Ritz加速的子空间迭代法应用于陀螺特征值问题。

This paper discusses how to get digital iatrical images; how to make the digital images' coordinates unitarily processing; how to compute the pathological eigenvalue of the blood cells and then signing the misshapen cells in detail. In this paper, improvement on the existing image edges detecting algorithm is put forward.

分析了如何获取医学图像，如何对数字图像进行坐标归一化等处理，如何计算红细胞的病理特征量从而实现对畸形细胞的标记等一系列算法，同时，提出了对现有的图像边缘检测算法的改进。

Based on a 2×2 eigenvalue problem, a 3×3 Lenard pair of operators and a new 1+1 dimensional soliton hierarchy are presented.

本文立足于一个2×2谱问题，获得了3×3 Lenard算子对，并由此导出一类非平凡的(1+1)维孤子方程族。

The use of the web to spread fears that flicking the switch on the LHC could create a Black Hole that could swallow up the Earth particularly concerned him, he said.

他说，使用互联网散布恐慌说启动LHC会生成一个可能吞噬地球的黑洞的做法让他感到忧虑。

Not a single word have I written down.

我一个字也没有写下来。