查询词典 radon nikodym theorem

Based on up_ and down_going wave decomposition and elastic wave power reciprocity theorem, this paper derives, in the lateral velocity varying case, linear prediction operators expression and the generalized spectral factorization equation for reflection dataset.

本文基于上下行波分解及弹性波互易定理，导出横向变速介质条件下线性预测算子的表达式和反射数据的广义谱分解方程。

The hybrid method first calculates the scattered fields of the Luneburg lens using the spherical vector wave method. Then it transforms the calculated results into the radiation fields in the far region using the reciprocity theorem.

该方法首先用矢量球面波理论计算平面波入射到多层介质球的散射场，在此基础上，用互易原理将散射场转变成天线的远区辐射场。

The conventional numerical simulation of a reverberant field as a launch acoustic environment was introduced. Following the reciprocity theorem used in the coupled FE-BE model, the structural response due to reverberant acoustic excitation was substituted by the sound pressure caused by force excitation on the structure, then the output response power spectrum density of the coupled model subjected to reverberant environment was evaluated based on the stochastic analysis principle.

首先介绍了传统的构建混响声场的数值模拟方法；其后利用声振耦合中的互易定理，将混响声场的激励问题转化为结构模型上力激励引起的场点声压响应问题，并采用随机分析原理，用谱分析方法推导了结构在混响声场激励下的响应计算公式；最后建立了航天器典型结构的声振耦合模型，并分别用传统方法和利用互易定理的方法进行了数值模拟。

Firstly, based on the Duhamel integral and dynamic reciprocity theorem, the generalized Duhamel integral expression is written to a point in the half infinity space under moving load. Secondly, the train load is considered as a series of centralized loads with fixed distance. The dynamic response expression of a point in frequency domain and frequencywavenumber domain are derived out through the Floquet transform and Fourier transform under a moving load, and then the dynamic response of a point is gotten ...

以Duhamel积分为基础，首先应用动力互等定理，得到了移动荷载作用下，半无限大弹性连续介质空间上任意点的动力响应的广义Duhamel积分表达式；然后将列车荷载简化考虑为一系列具有一定间距的集中荷载，采用Floquet变换、Fourier变换等方法，得到了一个集中移动荷载作用下任意拾振点ξ的动力响应在频域和频率波数域内的表达式，进而由叠加原理得到列车荷载作用下的动力响应解；最后，通过算例说明该算法的适用性。

The equivalent solid sphere have same radius of the original coating shell, using reciprocity theorem, the effective conductivity of composite were obtained, it compare agree with effective medium approximation.

利用倒易定理，其结果与有效介质近似进行比较发现两者基本一

P.G.泰特","Fourier's Theorem is not only one of the most beautiful results of modern analysis, but it may be said to furnish an indispensable instrument in the treatment of nearly every recondite question in modern physics.

"，"傅里叶的定理不仅是现代分析学最美妙的结果之一，也可以说它为解决现代物理学中几乎每一个难解的问题提供了一个不可缺少的工具。

Using Extended Virial theorem , three recurrence relation of the average value of coordinate operator for linear harmonic oscillator, spherical harmonic oscillator and like-hydrogen ion were obtained respectively.

针对一维谐振子、类氢离子和三维各向同性谐振子三个量子体系，应用超维里定理，推导了幂坐标算符平均值的递推关系，方法较通常简洁明了。

In the last chapter, by introducing the isochronous center of real systems into complex planar and defining complex center and complex isochronous center, a concise linear recursion formula for period constants is given, necessary and sufficient conditions of complex isochronous center (the Time-Angle Difference Theorem) proved, conditions of real systems with linearizable center and saddle treated unitedly and the isochronous center conditions discussed fully for a class of real planar cubic systems.

在第七章，通过把实系统等时中心引入复平面研究，定义了复中心和复等时中心，给出了等时中心周期常数计算的简明的线性递推公式，证明了等时中心判定的充分必要条件，统一地处理了实系统具有可线性化的中心和鞍点条件，并对一类实平面三次系统的等时中心条件进行了完整研究。

This inherent fact is combined with the recently proposed quantum to classical reduction theorem.

为此，将这一事实与最近提出的量子到经典的约简定理相结合。

In this paper,we define the oriented relevance information among attributes of information and decision systems,which measures the relevance among attributes of information and decision systems. And based on these definitions, we present a new discriminant theorem of knowledge reduction of information systems.

本文定义了信息系统以及目标信息系统属性之间的有向关联信息，用来度量信息系统以及目标信息系统属性之间的关联程度，基于此给出信息系统以及目标信息系统的知识约简一种新的判定定理。

More direct, directer ; most direct, directest

径直的，笔直的

Do you know how to use a chain saw?

你知道如何使用链锯吗？