Spectroscopic ellipsometry of very thin tantalum pentoxide on Si

Variable angle spectroscopic ellipsometry of very thin T₂O₅ layers on Si and the previously published appropriate algorithm for data interpretation have been successfully applied in terms of accurate characterization of very thin T₂O₅/Si systems. The simulation procedure following a simple three and four layered model was used assuming an existence of inhomogeneous interfacial layers. Quantitative determination of the thicknesses and composition identification were achieved, both for the top T₂O₅ layer and for an interfacial layer. The constituents in the interfacial layer and its depth profiles were recognized.     

The convolution and multiplication of one‐dimensional associated homogeneous distributions

The set of associated homogeneous distributions (AHDs) with support in R is an important subset of the tempered distributions because it contains the majority of the (one‐dimensional) distributions typically encountered in physics applications (including the δ distribution). In a previous work of the author, a convolution and multiplication product for AHDs on R was defined and fully investigated. The aim of this paper is to give an easy introduction to these new distributional products. The constructed algebras are internal to Schwartz’ theory of distributions and, when one restricts to AHDs, provide a simple alternative for any of the larger generalized function algebras, currently used in non‐linear models. Our approach belongs to the same class as certain methods of renormalization, used in quantum field theory, and are known in the distributional literature as multi‐valued methods. Products of AHDs on R, based on this definition, are generally multi‐valued only at critical degrees of homogeneity. Unlike other definitions proposed in this class, the multi‐valuedness of our products is canonical in the sense that it involves at most one arbitrary constant. A selection of results of (one‐dimensional) distributional convolution and multiplication products are given, with some of them justifying certain distributional products used in quantum field theory. Copyright © 2012 John Wiley & Sons, Ltd.     

离合词＂动宾化＂的类型与成因

离合词的动宾化是指在言语过程中离析词语并对词内结构进行了重新分析的现象。它可以有四种情况：将非常规宾语重新分析为常规宾语，将非名词性语素重新分析为名词性语素，将非动词性语素重新分析为动词性语素以及单纯复音词的动宾化。触发动宾化的原因有句法因素、语用因素和心理因素。     

Inverse optimization for linearly constrained convex separable programming problems

In this paper, we study inverse optimization for linearly constrained convex separable programming problems that have wide applications in industrial and managerial areas. For a given feasible point of a convex separable program, the inverse optimization is to determine whether the feasible point can be made optimal by adjusting the parameter values in the problem, and when the answer is positive, find the parameter values that have the smallest adjustments. A sufficient and necessary condition is given for a feasible point to be able to become optimal by adjusting parameter values. Inverse optimization formulations are presented with ℓ₁ and ℓ₂ norms. These inverse optimization problems are either linear programming when ℓ₁ norm is used in the formulation, or convex quadratic separable programming when ℓ₂ norm is used.     

一种消除锯齿的图像放大算法

为了最大程度消除图像放大后出现的锯齿现象,提出了一种新的二次导数连续的多结点立方卷积插值函数,通过增加结点使得插值曲线更加的平滑;同时对插值函数引入逆梯度约束条件,然后根据图像放大的倍数定义一个适当的模板对图像进行卷积操作,自适应的消除图像放大后出现的锯齿现象。实验结果表明,该算法在对图像执行高倍放大时,几乎看不到锯齿,同时图像的清晰度也保持的较好。     

杜哈梅尔积分的全解析算法

从杜哈梅尔积分的严格定义式出发，利用其解析式中存在的广义函数，提出杜哈梅尔积分的全解析算法。给出了用于解析计算的通用解析表达式。算例表明，本算法简洁，特别适于当系统的输入ｘ（ｔ）或其阶跃响应ｓ（ｔ）为具有不连续点时的复杂函数情况。     

一类卷积型方程

利用高阶奇异积分的Ｆｏｕｒｉｅｒ变换和高阶奇异积分方程研究一类带幂权核的卷积型方程，讨论了它的可解性条件、解的数目及解法。     

LF拓扑空间几乎可数性的性质

本文讨论了ＬＦ拓扑空间的几乎可数性在映射作用下的某些性质。     

二阶卷积的构造

文中给出了二阶卷积算子的定义和性质并举例说明。     

多自由度结构动力反应拉氏变换法

本文通过L变换,把多自由度动力反应的微分方程组,变为含复参数的代数方程组。然后经L~(-1)变换和逐次求解代数方程组的方法求近似解,方法简单、精度高。