Regularization inertial proximal point algorithm for common solutions of a finite family of inverse-strongly monotone equations

The aim of the paper is to propose an iterative regularization method of proximal point type for finding a common solution for a finite family of inverse-strongly monotone equations in Hilbert spaces.     

How Many Methanol Molecules Can Solvate a Glycine: a PBE1PBE Approach

Microsolvation of glycine in methanol clusters is explored by the use of DFT calculation method. The lowest energy conformations within 16.72 kJ·mol-1 of the glycine clustering with one to six methanol molecules, which are obtained at the B3LYP/6-31+G(d) level of theory, are reoptimized at PBE1PBE/6-311+G(d,p). The calculated results agree with our previous results with B3LYP (Chin. J. Chem. Phys. 22 (2009) 577) that the clusters of two forms (Z-and N-form) tend to be isoenergetic when the number of the solvate molecules reaches six. Furthermore, this result is in good agreement with the experiment of the tryptophan-methanol clusters, implying that the present treatments are reasonable and reliable. The results also indicate that nine methanol molecules are not enough to fully solvate a glycine molecule, and a tentative estimation is obtained that ten methanol molecules may fully solvate a glycine molecule, which consists with the experiment results.     

一类迭代系统解的存在性与唯一性

1986年张伟年在文献[1]中研究了迭代方程: sum from i=1 to n(λ_i f~i(x)=F(x)(f~0(x)=x,f~k(x)=f·f~(k-1)(x)) (*)解的存在性与唯一性,推广了文献[2]—[4]中的结果。本文将作进一步的推广。我们考察了一类具有相当广泛性的迭代系统:     

化归原则及其分类

在现代数学研究的公理化方法、模型方法结构方法等各种方法中,化归是一种基本的方法,由于它的思想深刻、方法多样、具有广泛的普适性,因此成为方法论中重要的方法原则之一.本文拟论述化归原則及其与规范化的关系,并对它的结构特征、思想方法和分类层次进行探讨. 一、化归原则与规范化化归方法,是通过数学内部的联系和矛盾     

普通话轻声音节特性分析

本文讨论普通话轻声音节在音强、音长、音高和音色各方面的特性。声学分析结果表明:1.轻声音节的音强不一定弱;2.轻声音节的音长一般短于正常重读音节,大约为正常重读音节长度的五分之三左右,但内部差异很大;3.轻声音节的音高特点最为明显:失去原来的单字调型,在上声音节之后读中平调,在阴平、阳平和去声音节之后读中降调;4.轻声音节里的不带音辅音很容易浊化为带音辅音,元音普遍读得较松,但无论单元音还是复合元音,其原有音色仍可分辨。     

成分和过渡金属对FeZr基非晶态合金晶化温度的影响

本文系统研究了Fe_100-xZr_x,(Fe_1-xZr_x)₈₄B₁₆和Fe_90-xM_xZr₁₀(M=V,Cr,Mn,Co,Ni,Si,B)非晶态合金的晶化温度与成分的关系。主要结果有:用Zr替代Fe使晶化温度明显提高;在FeMZr非晶态合金系列中,晶化温度依M=Mn,Cr,V元素的顺序和M含量x的增大而提高,而依 关键词：