特征函数

Cauchy distribution is a particular one in probability and it has a lot of special properties.

柯西分布是概率统计学中的一个极具特色的连续型分布，其独有的性质历来备受重视，利用特征函数这一工具，讨论了柯西分布的结构、矩存在性、可加性、无穷可分性等概率性质。

Next, determining natural frequencies of the structure is transformed as a problem belonging to finding a characteristic value of characteristic function in the above differential equation.

把该结构的固有频率问题归结为求解该微分方程特征函数的特征值问题。

To reflect the power of different alliances a characteristic function and a power index are introduced.

在特征函数的基础上，根据铁路运作生产的特点，引入势指标的概念以反映不同联盟的"势力"。

This paper presents a method of synthesizi ng non-equiripple low-pass filter based on iteration analysis,in which the rat ional fraction formed of Chebyshev polynomial is used as the filter characterist ic function.

提出一种用切比雪夫多项式构成有理分式作为滤波器的特征函数，并利用迭代分析进行非等波纹低通滤波器综合的方法。

Under the constraints between potentials and eigenfunctions, the Lax systems are nonlinearized to be finite dimensional completely integrable systems in Liouville sense.

在位势与特征函数之间的约束条件下，Lax系统被非线性化成为有限维Liouville完全可积系统。

Via the stochastic averaging method, the four-dimensional system is reduced to a two-dimensional one. Through the logarithmic polar transformation , and then Girsanov theorem and Feynmann-Kac formula, the backword differential operator is then obtained. By expanding the eigenfunctions as a Fourier cosine series, the approximate analytic expansion of the moment Lyapunov exponent is then obtained.

首先在经典二元机翼颤振方程加入随机激励，通过随机平均法，Girsanov定理和Feynmann-Kac公式得到关于矩Lyapunov指数的特征值问题，其次采用Fourier余弦级数对特征函数进行正交展开得到系统矩Lyapunov指数的近似解析式。

In this paper,we establish a dynamics model that combines the inflation,real interest rate. base on the results of kalman filter,we adopt feynman-kac theory and the fourier inversion of the conditional characteristic function to calculate the price of the coupon bond option. detail numeric analysis is discussed in this paper.

本文建立了包含通货膨胀、实际利率的动态模型，采用kalman滤波对模型进行估计的基础上，结合feynman-kac定理和特征函数傅立叶变换的方法，对附息债券期权的价格进行研究并给出详细的算例演示。

A general formula is derived by using power series by which we can predict the amplitude and power level of PIM (especially for odd-order PIM).

采用合成干扰模型假设和特征函数方法简化了PIM问题，对包括PIM干扰在内的总干扰的统计特性进行了数学分析，进而对无源互调对通信系统的抗噪性能的影响做了数值模拟。

In this paper we mainly utilize super and sub solution techniques, use comparision principle and construct appropriate supersolution and subsolution by eigenfunctions to discuss two kinds of nonlocal nolinear parabolic systems with homogeneous Dirichlet boundary condition.

两类非线性抛物方程解的整体存在与爆破性质本文主要利用上下解方法，运用比较原理，通过特征函数等构造适当的上下解讨论了两类抛物型方程组解的整体存在与爆破。

A function is presented to quantify the character of the domain of attraction of equilibrium point.These results can be used not only for evalua- ting error-correction and pattern-recovery, but also for synthesis of neural network with associate memories

通过引入特征函数的方法，得到了各记忆模式的指数吸引域的估计，以此可用来评价Hopfield连续反馈联想记忆的容错能力和模式恢复能力，且可用于综合更为实用的连续联想记忆神经网络。

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