A new iterative algorithm for equilibrium and fixed point problems of nonexpansive mapping

In this paper, a new iterative algorithm involving nonexpansive mapping in Hilbert space is proposed and proved to be strongly convergent to a point which is simultaneously a fixed point of a nonexpansive mapping and a solution of an equilibrium problem. The results of the paper extend previous results, see, for instance, Takahashi and Takahashi (J Math Anal Appl 331:506–515, 2007), and other results in this field. Moreover, this algorithm is applied to find zeros of a maximal monotone operator and solve an optimization problem.     

基于格子Boltzmann方法的液滴沿固壁铺展动态过程模拟

矿井喷雾降尘是利用水雾使粉尘润湿沉降的过程,考虑到固体与液体间分子作用力,本文采用格子Boltzmann方法对液滴沿固壁铺展的动力学行为进行了数值模拟,结果发现铺展直径及动态接触角随时间呈指数规律,确定了液滴表面张力与铺展最大直径间的关系,固壁润湿性对铺展最大速度值影响较大,这些与物理试验及文献结果符合良好. 进一步考察了疏水性强的固壁,发现当液滴表面张力足够小时,铺展接触角可以在90°以下,与理论公式符合. 研究发现铺展过程中伴随着振荡,且铺展到最大时液膜有回缩趋势. 关键词： 液滴 格子Boltzmann方法 铺展 数值模拟     

共面不对称条件下Ar原子(e,2e)反应的三重微分截面

采用修正的扭曲波玻恩近似(DWBA)方法,计算了共面、大能量损失和小动量转移这一特殊几何条件下电子碰撞Ar(3p6)(e,2e)反应的三重微分截面.理论方法对(e,2e)反应过程近程极化势进行了修正,并引入Gamow因子表示后碰撞相互作用(PCI).将计算结果与实验结果、标准DWBA计算结果及Gamow因子修正后的DWBA-G计算结果进行了比较,发现极化效应起着重要的作用.     

Thermal degradation of hydroxypropyl trimethyl ammonium chloride chitosan–Cd complexes

Thermal degradation of hydroxypropyl trimethyl ammonium chloride chitosan–Cd complexes (HTCC–Cd) was investigated by thermogravimetric analysis. The results indicate that the degradation of HTCC–Cd in nitrogen atmosphere was two-step reaction. For the first step of degradation, the initial temperature of mass loss (T ₀), the final temperature of mass loss (T _f), and the temperature of maximum mass loss (T _p) increase linearly with the rising of heating rate (B). T _o = 1.241B + 220.3, T _p = 1.111B + 245.8, and T _f = 1.335B + 358.2. Using different methods, the kinetic parameters of the two steps were investigated. The results show that the activation energies of the first step of degradation obtained using Friedman and Flynn–Wall–Ozawa methods are 1.684 × 10⁵ and 1.646 × 10⁵ J mol^?1, and the corresponding activation energies for the second step are 1.165 × 10⁵ J mol^?1 and 1.373 × 10⁵ kJ mol^?1. The results obtained from Phadnis–Deshpande methods indicate that the two degradation processes are both nucleation and growth process, and follow A₄ mechanism with intergral form g(X) = [?ln(1 ? X)]⁴.     

New efficient synthesis of 1H-imidazo-[4,5-c]quinolines by a sequential Van Leusen/Staudinger/aza-Wittig/carbodiimide-mediated cyclization

A new efficient synthesis of multisubstituted 1H-imidazo-[4,5-c]quinoline derivatives via sequential van Leusen/Staudinger/aza-Wittig/carbodiimide-mediated cyclization was developed. Azides 4, obtained from Van Leusen reaction of 2-azidobenzaldehyde 1, amine 2 and TosMIC (tosylmethyl isocyanide) 3, reacted with triphenyl phosphine to produce iminophosphorane 5. A tandem aza-Wittig reaction of iminophosphorane 5 with isocyanate generated 1H-imidazo-[4,5-c]quinoline 7 through carbodiimide intermediate 6 in moderate to good yield.     

Anthraquinone-benzisochromanquinone dimers from the roots of Berchemia floribunda

Four novel anthraquinone-benzisochromanquinone dimers, named floribundiquinones A, B, C, and D (1-4), along with six known anthraquinones, 10-(chrysophanol-7'-yl)-10-hydroxychrysophanol-9-anthrane (5), physcion (6), chrysophanol (7), 1,5,8-trihydroxy-3-methyl-anthraquinone (8), aloe-emodin (9), and xanthorin (10), were isolated from the roots of Berchemia floribunda. Their structures including the absolute axial stereochemistry were elucidated on the basis of spectroscopic methods. Floribundiquinones represent a novel carbon skeleton with an anthraquinone-benzisochromanquinone unit. Hepatoprotective activities were evaluated against D-galactosamine-induced toxicity in WB-F344 rat hepatic epithelial stem-like cells.     

共面对称条件下Mg原子(e,2e)反应的三重微分截面的计算

采用修正的扭曲波玻恩近似(DWBA)方法,本文计算了共面对称几何条件下电子碰撞Mg(3s2) 原子(e,2e)反应的三重微分截面.理论方法通过引入Gamow因子来表示(e,2e)反应的后碰撞相互作用(PCI).将计算结果与实验结果及标准DWBA计算结果进行了比较,发现PCI效应起着重要的作用.     

Post collision interactions and polarization effect in (e, 2e) collisions of helium

A modified distorted-wave Born approximation (DWBA) method is used to calculate the triple differential cross sections (TDCSs) in a coplanar asymmetric geometry for the electron impact single ionization of a He (1s²) atom at intermediate and lower energies. The post-collision interaction and the polarization effect in (e, 2e) collisions of helium are considered in the calculations. The polarization potentials from the damping method and density functional theory (DFT) are compared. Theoretical results are compared with the recent experimental data.     

Possible light neutral boson and particle mass quantization

Qualities of nucleons, such as the fundamental parameter mass, might be modified in extreme conditions relative to those of isolated nucleons. We show the ratio of the EMC-effect tagged nucleon mass to that of the free one(m*/m);these values are derived from the nuclear structure function ratio between heavy nuclei and deuterium measured in the electron Deep Inelastic Scattering(DIS) reaction in 0.3≤x≤0.7. The increase in m*/mwith A-1/3 is phenomenologically interpreted via the release of a color-singlet cluster formed by sea quarks and gluons in bound nucleons holding high momentum in the nucleus, from which the mass and fraction of non-nucleonic components in nuclei can be deduced. The mass of color-singlet clusters released per short range correlated(SRC) proton in the high momentum region(k > 2 fm-1) is extracted to be 16.890 ±0.016 MeV/c2, which evidences the possibility of a light neutral boson and quantized mass of matter.     

Chemical Constituents from the Solid Culture of the Edible Mushroom Flammulina velutipes

Chemistry of Natural Compounds -