Approximation of conjugate functions by generalized Abel-Poisson operators

We obtain a sharp value for the constant in the leading term of the deviation of a function belonging to the class Lip₁ α from the generalized Abel-Poisson operators specified by the summation factors of the conjugate Fourier series in the case 0 < α <l ≤ 1. Translated fromMatematicheskie Zametki, Vol. 67, No. 4, pp. 595–602, April, 2000.     

辅助方程构造(2+1)维Hybrid-Lattice系统和离散的mKdV方程的精确解

给出双曲函数型辅助方程和函数变换相结合的一种方法，借助符号计算系统Mathematica构造了(2+1)维Hybrid-Lattice系统和离散的mKdV方程新的精确孤波解和三角函数波解. 关键词： 辅助方程 函数变换 (2+1)维Hybrid-Lattice系统 mKdV方程')" href="#">离散的mKdV方程     

基于小波变换的岩石超声波检测信号的研究

介绍了小波变换的基本概念和特性.通过对岩石超声波检测信号的小波分析和处理,表明该方法在奇异信号检测和局部化分析方面具有优异特性.     

基于傅立叶变换的射频场分布测量方法

提出了一种基于傅立叶变换的射频场分布测量方法，该方法可以方便地测量出射频场的分布，其测量结果与样品的均匀度无关并且可以分别观测某个像素点处的层内射频场非均匀性或某个小区域内的射频场非均匀性.     

Nonextensive treatment of nucleation and growth in a thin layer

In this study, a generalized method based upon nonextensive statistics is presented for nucleation and growth processes in a thin layer between two interfaces. It is shown that the presented mathematical model, which uses an index called the entropic index that measures the nonextensivity of the physical system, successfully deals with the nucleation and growth processes, and works better than Johnson–Mehl–Avrami–Kolmogorov model. The presented model also contains Austin–Rickett model as a special case.     

Darboux transformations for the isospectral and nonisospectral mKP equation

Darboux transformations for the isospectral and nonisospectral modified Kadomtsev-Petviashvili (mKP) equations are investigated. In the isospectral case it is an auto-Darboux transformation; however, in the nonisospectral case it is not auto-Darboux tranformation.     

Photo-detachment cross section of H- near two parallel interfaces

The photo-detachment cross section of H^- near two parallel elastic interfaces is derived and calculated by using the closed orbit theory. The photo-detachment cross section of H^- near two interfaces is shown to exhibit multi-periodic oscillations when the distance between the H^- and the interface is varied. Each peak in the Fourier transformed photo-detachment cross section corresponds to the length of a closed orbit, which is quite similar to the case of atomic spontaneous emissions in a dielectric slab. This study provides a new understanding of the photo=detachment process of H^- in the presence of interfaces.     

Mobile and immobile fluid transport: Coupling framework

We introduce a solver method for mobile and immobile transport regions. The motivation is driven by transport processes in porous media (e.g. waste disposal, chemical deposition processes). We analyze the coupled transport‐reaction equation with mobile and immobile areas. We apply analytical methods, such as Laplace‐transformation, and for the numerical methods we apply Godunov's scheme, see (Mat. Sb. 1959; 47 :271–306; Finite Volume Methods for Hyperbolic Problems. Cambridge University Press: Cambridge, 2002). The method is based numerically on flux‐based characteristic methods and is an attractive alternative to the classical higher‐order TVD methods, see (J. Comput. Phys. 1993; 49 :357–393). In this paper, we will focus on the derivation of analytical solutions for general and special solutions of the characteristic methods that are embedded in a finite‐volume method. At the end of the paper, we illustrate the higher‐order method for different benchmark problems. Copyright © 2010 John Wiley & Sons, Ltd.     

A regression approach to ROC surface, with applications to Alzheimer’s disease

We consider the estimation of three-dimensional ROC surfaces for continuous tests given covariates.Three way ROC analysis is important in our motivating example where patients with Alzheimer’s disease are usually classified into three categories and should receive different category-specific medical treatment.There has been no discussion on how covariates affect the three way ROC analysis.We propose a regression framework induced from the relationship between test results and covariates.We consider several practical cases and the corresponding inference procedures.Simulations are conducted to validate our methodology.The application on the motivating example illustrates clearly the age and sex effects on the accuracy for Mini-Mental State Examination of Alzheimer’s disease.     

The transformation of ferrihydrite in the presence of trace Fe(II): The effect of the anionic media

The transformation from ferrihydrite to various iron oxides and iron oxyhydroxides has been given much attention not only in environmental science and geochemistry but also in biology and material science. This laboratory study attempted to investigate Fe(II)-induced transformation of ferrihydrite in sulfate-rich medium. The results indicate that the transformation in sulfate-rich medium differs from that in Cl⁻ medium in the species, the amount and the morphology of products and transformation rate. Lepidocrocite is a main ingredient in the product in Cl⁻ medium at room temperature (RT), while goethite is the only product in SO₄²⁻ medium at RT. Goethite particles obtained in Cl⁻ medium are star-like but rod-like in SO₄²⁻ medium. The transformation rate in the latter medium is obviously slower than that in the former medium. The formation of lepidocrocite depends on both the ionic strength of the system and the dissolution rate of ferrihydrite.