查询词典 convolution theorem

For this purpose, two expressions for the Graf′s addition theorem are deeply clarified and an auxiliary function method for mixed boundary-value problems is presented in the paper.

为此，文中深入阐明了Graf加法公式的两种表达形式并提出了处理混合边值问题的辅助函数法。

Utilizing wave function expansion method, all of the potential functions of scattered waves are transformed into one coordinate system with the aid of Graff's addition theorem.

使用波函数展开法，利用一组圆柱坐标系统和Graff加法转换定理，将散射波势函数的表达式变换到同一个坐标系。

This paper utilizes FFT after undersampling to analyze the relationship between the estimation of sinusoidal parameters and corresponding actual values on the basis of bandpass sampling theorem. In addition, the errors of parameter estimation using phase difference are deduced strictly.

摘要该文从带通采样定理出发，分析了欠采样后利用FFT估得的正弦信号参数与真实值之间的关系，并对欠采样下基于相位差分法的参数估计的误差进行了严格的推导。

The problem of the error of calculation formula calculating the variance of grouping data within distances in statistics was put forward,and the concrete forms of correcting formula were given by the theorem of addition and the variance of even distribution.

提出统计学中的组距分组资料方差和标准差计算公式误差问题，由方差的加法定理和均匀分布方差给出分组资料方差计算和标准差计算的修正公式具体形式，并就均匀分布数列和正态分布数列组内方差平均数进行了讨论

Finally by constructing an auxiliary problem, using addition theorem and applying an iterative process based on results obtained for the linear problem, the existence and uniqueness of the weak generalized solution of the nonlinear problem is proved.

解决了线性问题后，本文构造了辅助问题，利用迭加原理，并基于线性问题的主要结论运用迭代过程，最终证明非线性问题存在唯一广义弱解。

In addition, the Lyapunov theorem is applied to have the asymptotic stability of the closed loop system with system parameters updated on line.

控制器便能依据当时振动情况，主动产生出反振动讯号输出给伺服马达，让控制系统进入至滑动平面来达到控制的目的。此外，理论中还使用了 Lyapunov 稳定法则来确保控制过程中之渐进稳定性，并更新系统所需之参数。

In Chapter 4 windowed function of data signal processing is introduced and applied to addition theorem, which succeeds in solving the difficult problem: it has a bad result when recursive T-matrix is applied to calculate the wave scattering of electrically large objects and multiple objects in the excitation of TE wave.

在第四章中引入数字信号处理中的窗函数，成功解决了在入射波为TE波时，用递推T矩阵法计算电大尺寸物体或多个散射体时，精度不高的问题。

Constitutive model: Based on the energy principle of fracture mechanics, energy addition theorem and statistical theory of rock-mass structure, a constitutive model of anisotropic equivalent continuum is derived.

裂隙岩体的本构理论运用断裂力学能量原理和能量可加性原理及岩体结构统计理论，导出了裂隙岩体的各向异性等效连续介质本构模型，并对柔度张量和等效应力作了讨论。

The potential functions of incident and scattered waves were expanded into Fourier-Bessel series, and the coefficients of scattering waves field were determined by imposing continuity conditions of stress and displacement at the soil-pile interfaces with the help of a set of cylindrical coordinate systems and in accordance with the Graff's addition theorem.

将倾斜入射波和散射坡的势函数展开成Fourier-Bessel函数的无穷级数的形式，利用一组圆柱坐标系统和Graff加法转换定理，通过施加桩土界面处的应力和位移连续的边界条件，求解出散射波势函数的待定系数，进而得到饱和土体中任意点的位移和应力。

As for mixed problem with integral boundary conditions for a certain nonlinear pseudo-parabolic partial equation, the existence and uniqueness of a strong solution to the corresponding linear problem is established and so the nonlinear problem can be solved by using addition theorem.

对于一类非线性伪抛物型方程的带积分边值条件的混合问题，本文通过相应的线性方程利用迭加原理来解决。

Chimborazo and Cotopaxi, took me by the hand.

越过琴博腊索山和科托帕克西山。

This car is in a good condition.

这辆车的状况很好。