瑞利商

In thesis, the generalized symmetric eigenvalue problem can be recasted into an unconstrained optimization problem.

本文先对广义特征分解问题进行建模，将瑞利商优化问题转化为无约束优化问题。

Due to no channel estimation required for rayleigh fading channel, quotient coded QAM has lower receiver complexity.

商分编码QAM由于无需信道估计和均衡，因此降低了在瑞利衰落信道解调的复杂性。

Based on the theory of analogy of structural mechanics and optimal control, the optimal induced norm γ-2 of state feedback H∞ control is shown to be the fundamental Rayleigh quotient eigen value in structural vibration or Euler stability problems.

文摘：根据结构力学与最优控制的模拟理论，指出状态反馈H∞控制黎卡提方程中的最优参数γ－2，实质上就是结构振动或稳定理论中的瑞利商最小本征值。

Combining Rayleigh quotient of the stiffness matrix, the paper defined the index K used to estimate the mechanism stiffness, and plotted spatial graph of the stiffness performance.

结合刚度矩阵的瑞利商定义了刚度判定指标K，绘制出刚度性能空间图，进一步研究了操作端方向的刚度特性。

Considering the randomness of both elastic module and mass density of the structures, the element′s structural stiff and mass matrix have been built, the structure dynamic characteristics is analyzed based on probability, and the digit characteristics of natural frequency random variable is derived from the Rayleigh′s quotient.

利用随机因子法，建立了考虑结构弹性模量和质量密度同时具有随机性时结构的刚度矩阵和质量矩阵；从结构振动的瑞利商表达式出发，利用代数综合法推导出结构特征值随机变量数字特征的计算表达式。

Combining Rayleigh quotient of the stiffnesss matrix,the index used to estimate the manipulator continuous stiffness was defined,and spatial graphs of the stiffness performance were plotted.

文中还结合刚度矩阵瑞利商定义了连续刚度判定指标，绘制了刚度性能空间图，进一步探讨了该机构的方向刚度特性，为平面并联弹性铰机器人机构刚度的分析提供了一种新颖通用的方法。

In study of the truss structural dynamic characteristics analysis, randomness of the structural physical parameters and geomtric ones are all considered. The finite element model of the stochastic truss is built and the random functions of its natural frequencies are obtained by use of the Rayleigh quotient. Employing probabilistic distribution function expression for the random functions, through a series of mathematical processing including determination of limits of integrals, variable substitution etc., the probaabilistic density function for the truss natural frequencies are gained to realige accurate calculation for the reliability of the truss natural frequencies.

考虑结构物理参数和几何参数的随机性，通过构建随机参数桁架结构的有限元模型，利用瑞利商公式获得了结构固有频率随机函数的计算表达式，应用随机函数的概率分布函数表达式，通过确定积分区间、变量替换、积分顺序变换等一系列数学上的处理，获得结构固有频率的概率密度函数，进而实现对结构固有频率可靠度的精确计算。

In this thesis, the methods for solving eigenvalue problems and conventional reanalysis methods are studied firstly. Then, a new reanalysis method for real modal reanalysis of structures subjected to topological modification with added degrees of freedom is presented. This method is composed of the single step perturbation method and the Rayleigh-quotient iteration. The numerical examples show that this reanalysis method is very effective and high-quality.

本文首先在对常规的特征值数值求解方法和重分析方法研究的基础上，针对实模态的自由度增加的结构拓扑修改重分析，提出了一种新方法，该方法由于结合了单步摄动法和瑞利商逆迭代法两者的优点，应当是一种比较理想的重分析方法，算例的数值结果也有力的验证了该方法确实是一种高精度、十分有效的实模态重分析方法。

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GE单除颤系列厦门柏威医疗器械有限公司最新代理美国飞利浦除颤监护Heart Start XL(Philips M4735A)系列，为其飞利浦除颤监护仪系列的代理商厦门柏威医疗器械有限公司代理德国普美康除颤系列产品，英国美科瑞急救呼吸机，意大利柏莱德(SIRIO S2/T)急救/转运呼吸机，英国伊普思光纤喉镜等五大主要代理产品，经过多年的全面市场推广运做，主要进行产品渠道分销，供货给全国的各大代理及分销商，已经在中国拥有广大的客户群，其德国普美康除颤系列(Defi-B，DM1，DM3，DM10，DM30)性价比为中国最好的进口除颤品牌。

Margarine Unie, a Dutch producer of margarine, and Lever Brothers, a Britishsoapmaker.

合并的双方是荷兰人造黄油生产商玛格瑞乃公司，和英国制皂商利华兄弟公司。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷