The global and superlinear convergence of a new nonmonotone MBFGS algorithm on convex objective functions

In this paper, a new nonmonotone MBFGS algorithm for unconstrained optimization will be proposed. Under some suitable assumptions, the global and superlinear convergence of the new nonmonotone MBFGS algorithm on convex objective functions will be established. Some numerical experiments show that this new nonmonotone MBFGS algorithm is competitive to the MBFGS algorithm and the nonmonotone BFGS algorithm.     

Suppression of undesired peaks due to residual intermolecular dipolar interactions in liquid NMR

Residual intermolecular dipolar interactions may result in undesired spectral features on highly concentrated samples in liquid NMR. Although homonuclear decoupling can be employed to suppress the interactions, it may cause a strong irradiation peak, which obscures the nearby peaks. In order to overcome this shortcoming, a modified CRAZED sequence with three radio-frequency pulses was proposed. The analytical expression derived from the dipolar field treatment was employed to select proper flip angles and phase cycling. Theoretical predictions, experimental observations, and computer simulations demonstrated that the new method effectively suppresses the undesired peaks due to residual dipolar effects.     

Pomeron-Quark Coupling from Charge Conjugation Invariance

Based on the charge conjugation invariance and the vacuum property of the Pomeron, we point out that the commonly used vector vertex of the Pomeron coupling to quark is incorrect since it contradicts with the Pomeron property. We also claim that the soft Pomeron could be a tensor glueball ξ(2230) with quantum numbers IG JPC = 0 2 and total decay width Γtot ≌ 100 MeV, which lies on the soft Pomeron trajectory αp = 1.08 0.20t. Therefore, the coupling vertex of the soft Pomeron to quark should be tensorial which is invariant under the charge conjugation and can explain why the inadequate vector coupling, γμ, of the soft Pomeron to quark is successful in dealing with Pomeron physics.     

A class of multiwavelets and projected frames from two-direction wavelets

This article aims at studying two-direction refinable functions and two-direction wavelets in the setting ?^s, s > 1. We give a sufficient condition for a two-direction refinable function belonging to L²(?^s). Then, two theorems are given for constructing biorthogonal (orthogonal) two-direction refinable functions in L²(?^s) and their biorthogonal (orthogonal) two-direction wavelets, respectively. From the constructed biorthogonal (orthogonal) two-direction wavelets, symmetric biorthogonal (orthogonal) multiwaveles in L²(?^s can be obtained easily. Applying the projection method to biorthogonal (orthogonal) two-direction wavelets in L²(?^s, we can get dual (tight) two-direction wavelet frames in L²(?^m, where. m ≥ s From the projected dual (tight) two-direction wavelet frames in L²(?^m, symmetric dual (tight) frames in L²(?^m can be obtained easily. In the end, an example is given to illustrate theoretical results.     

GaN/AlxGa1-xN异质结二维电子气的磁电阻研究

通过对GaN/Al_xGa_1-xN异质结中二维电子气磁输运结果的分析,研究了磁电阻的起因.结果表明,整个磁场范围的负磁电阻是由电子-电子相互作用引起的,而高场下的正磁电阻来源于平行电导的进一步修正.用拟合的方法得到了电子-电子相互作用项以及平行电导层的载流子浓度和迁移率,并用不同的计算方法对拟合结果进行了验证.     

FIA—ICP—AES法测定土壤提取液中游离氧化铁的研究

研究了土壤提取液中游离氧化铁含量的ＦＩＡ－ＩＣＰ－ＡＥＳ测定法。考察了采术量以及提取剂（盐酸羟胺和草酯）的浓度对的影响。试验表明：如果选择５０μＬ采样环进样，并将盐酸羟爱和草酸的浓度控制在１０ｍｇ．ｍＬ＾－１以下，则进样顺畅，不出现喷雾嘴堵塞的现象，分析线的背景干扰也得到有效抑制。此法的回收率为９７．６％～１００％，ＲＳＤ≤３．５％。     

株洲氢化松香主要化学组成的分析

 利用改进的DEAE Sephadex离子交换色谱从株洲氢化松香中分离出主要化学组成部分 酸性部分 ,然后采用DB 5毛细管柱对酸性部分进行气相色谱 质谱 计算机联用分析。共鉴定出 6种二氢枞酸型树脂酸 ,4种二氢海松酸 /异海松酸型树脂酸 ,4种四氢枞酸型树脂酸。其主要成分为 8 二氢枞酸、18 四氢枞酸、13 二氢枞酸、8α ,13β 四氢枞酸、13β 8 二氢枞酸及 8 二氢异海松酸等。     

巯基类浮选药剂电子结构及其与金属离子作用的量子化学研究

用量子化学程序MOAN计算了巯基类浮选剂MBT,MBO和MBM的电子结构,讨论了其硫醇形式与硫酮形式的稳定性及与过渡金属离子Cu()的配位模式和配体的活性位置;研究了五元杂环中N,O,S是否参与配位和分子中苯环的作用及配位原子周围不同的化学环境对配位作用的影响,得到了螯合剂MAT,MBO和MAM与Pt,Pb,Fe,Zn,Cu金属离子作用的强弱顺序,解释了一些基本的实验事实.     

Trifluoroborate-substituted polythiophene as a novel conjugated polymer promising for sensing and solid-state reactions

The anodic oxidation of trifluoroborate-substituted thiophene 1 in CH₃CN without added electrolyte yielded at ca. 1.0 V (vs. Ag⁺|Ag) a conjugated polymer film showing electroactivity both in water and organic media. The electrochemical and UV–visible spectroscopic responses of such a material were found to be dependent on the nature of cation.     

一类适用于非凸函数的非单调共轭梯度法

This paper discusses the global convergence of a class of nonmonotone conjugate gradient methods (NM methods) for nonconvex object functions. This class of methods includes the nonmonotone counterpart of modified Polak-Ribiere method and modified Hestenes-Stiefel method as special cases.