波函数

To improve the performance of image-denoising methods, a locally adaptive denoising algorithm was presented. The new algorithm assumed the statistical dependence among wavelet coefficients. First, a bivariate probability distribution model was introduced to model the statistics of wavelet coefficients, and corresponding nonlinear threshold function was derived from the model using the Bayesian estimation theory.

由于图像小波系数存在很大的层间相关性，引入双变量概率分布模型，基于贝叶斯估计理论，得到了相应的非线性阈值函数；基于层内局域方差估计，利用该收缩函数得到一种局域自适应的图像去噪算法。

By means of the qualitative and quantitative analyses on the characteristic of energy spectrum of the scaling functions, the stuitable region of this numerical method of inversion in the image by inversion is given.

通过对小波尺度函数的低带通谱特性的定性与定量讨论，给出了这一反演方法所得原像函数的适用域。

On the other hand, finite difference and finite element methods use bases with small compact support but poor continuity properties.

小波基函数在空间域和频率域中都具有局部性特征，它的性质优于有限差分法、有限元法和伪谱法中所用的基函数。

Schwartz mapped the interior of each fluid cycle in the physical plane into an annulus of unit outer radius in the mapping plane according to the conformal transformation. And the perturbation theory is the main way of solving conformal parameters.

L.W.Schwartz的关于定常二维非线性波算法的主要思想是为了利用已知速度势的解析解，将一个波长的自由表面同底部所限定的流域采用合适的保角变换函数变换为映射平面上一圆环，在求解保角变换函数的变换系数时采用摄动理论进行求解。

This paper discusses the estimation method of wave spectrum by covariance functional method.

黄海；平均波高；海浪谱；协方差函数；海浪频谱；本文用协方差函数法探讨了海浪谱的估计方法。

Using cubic spline interpolation function, we construct a finite element model to approximate the nonlinear Schr〓dinger equation, and provide a complete discrete scheme with the conservation properties of mass and energy.

本章从应用角度出发，着重讨论孤波形式的解的计算，为此我们利用三次样条函数的插值基函数构造出非线性薛定谔方程的一个有限元离散模型，给出了具有保质量与能量守恒的全离散计算格式。

Extended elliptic function expansion method is applied to construct the explicit exact solutions of the Zakharov Equation.

将改进的Jacobi椭圆函数展开法应用到Zakharov方程，比较方便地得到新的解析周期解(包含冲击波解、孤波解和双曲函数解)。这种方法也适用于其他非线性方程或方程组

Some new elliptic periodic solutions and soliton solution of variable coefficient KdV-MKdV equation with three arbitrary functions by are found Jacobi elliptic function expansion method.

运用Jacobi椭圆函数展开法求得了具有3个任意函数的变系数KdV_MKdV方程的新椭圆周期解及孤立波解。

It is shown that many of the existing integral transforms (including their logically equivalents) such as chirplet transform, dispersion transform, wavelet transform, chirp-Fourier transform, short-time Fourier transform, Gabor transform, Fourier transform, cosine transform, sine transform, Hartley transform, Laplace transform, z transform, Mellin transform, Hilbert transform, autocorrelation function, cross-correlation function, and the energy and mean of a signal, can each be considered as a special case of the FMmlet transform with specific parameters. In fact, an inventory of subspaces of FMmlet transform runs into countless numbers. The subspaces mentioned above are merely a few among a zoo of subspaces. They are essentially obtained by cutting the transform space of FMmlet transform at different positions, and can be likened to the computed tomography in medical diagnosis. Through these subspaces we actually see different slices or profiles of the FMmlet transform.

将现有诸多变换置于统一的 FMmlet 变换中加以审视，发现 chirplet 变换、频散变换、小波变换、 chirp-Fourier 变换、短时 Fourier 变换、 Gabor 变换、 Fourier 变换、余弦变换、正弦变换、 Hartley 变换、 Laplace 变换、变换、 Mellin 变换、 Hilbert 变换、自相关函数、互相关函数、能量和均值等，均为 FMmlet 变换在其参数取特定值时的特例；上述诸变换之间的差别，主要在于变换空间的维数有别，以及在不同空间维上取值的不同；这些变换有如医学诊断中的 CT，均由压缩 FMmlet 变换域空间所致，可以说我们通过这些变换看到的，是 FMmlet 变换的不同剖面。

Focusing on the problem of the nature of the high velocity surface acousticsmode,we investigate the standard of judging which a wave is a surface wave,present the Green function of a pseudo-SAWand a longitudinal-wave headwave,thus developing the theory for generalized Green's function of surfaceexcitation of a piezoelectric crystal,with the hope to systematize this theory.

本文围绕压电晶体半空间上的高速表面声学模式热点问题，对表面波模式进行了界定，又发展了压电晶体表面激发的Green函数理论，给出了伪表面波及纵波头波的Green函数，从而形成更完整的压电晶体表面激发理论系统。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。