Accelerated hybrid viscosity and steepest-descent method for proximal split feasibility problems

The purpose of this paper is to present an accelerated hybrid viscosity and steepest-descent method for solving proximal split feasibility problems (if solutions exist) in real Hilbert spaces. We obtain strong convergence of the sequence generated by our scheme under some suitable conditions on the parameters. In all our results in this work, our iterative schemes are proposed with a way of selecting the step sizes such that their implementation does not need any prior information about the bounded linear operator norm. Finally, we give numerical comparisons of our results with other established result to verify the efficiency and implementation of our new method.     

A family of noetherian rings with their finite length modules under control

We investigate the category mod of finite length modules over the ring =A _k , where is a V-ring, i.e. a ring for which every simple module is injective, k a subfield of its centre and A an elementary k-algebra. Each simple module E _j gives rise to a quasiprogenerator P _j = A E _j . By a result of K. Fuller, P _j induces a category equivalence from which we deduce that mod _j mod EndP _j . As a consequence we can(1) construct for each elementary k-algebra A over a finite field k a nonartinian noetherian ring such that modA mod(2) find twisted versions of algebras of wild representation type such that itself is of finite or tame representation type (in mod)(3) describe for certain rings the minimal almost split morphisms in mod and observe that almost all of these maps are not almost split in Mod.     

A universal sample injection system for capillary column GC using a programmed temperature vaporizer (PTV)

This article describes the use of a programmed temperature vaporizer injection system which overcomes many of the classical problems associated with other injection techniques employed in capillary GC. The system can be operated in three distinct modes.     

Sampling of volatile components using a PTV in the solvent split mode

Several packing materials were evaluated for their sampling performance with a cold programmed temperature vaporizing injector operated in the solvent split (solvent elimination) mode. Evaluations were made by comparing accuracy and precision of the data for mixtures of n-alkanes, ethyl esters, n-alcohols, and carboxylic acids covering polarity and volatility ranges typical of compounds present in food samples. Tenax exhibits the most desirable retention characteristics. Careful selection of the experimental conditions lowers losses of volatile compounds by co-evaporation with the solvent and allows a reliably quantitative analysis. Coefficients of variation of relative (normalized) peak areas and absolute peak area ratios of each compound to the standard are generally less than 2%.     

关于有限群表示范畴上几乎可裂序列的注记

在有限群局部表示理论中,Green对应相当重要,由此可得到一些有趣的应用.本文给出了几乎可裂序列的Green对应.证明了如下结果：设X是不可分解非投射kG-模,Y是相应的不可分解非投射kL-模,那么（i）0→Ω2（X）→（XU）0→X→0是可裂正合列当且仅当0→Ω2（Y）→（YU）0→Y→0是可裂正合列;（ii）0→Ω2（X）→（XU）0→X→0是几乎可裂正合列当且仅当0→Ω2（Y）→（YU）0→Y→0是几乎可裂正合列.     

9,10-二氰基蒽光敏分解水制氢反应的研究

本文以9、10-二氰基蒽(DCA)为敏化剂,测定了用胺类,单烯类及取代苯类化合物为电子给体时光敏还原甲基紫精(MV²⁺)的量子产率。用三乙醇胺(TEOA)为电子给体,探索了胶体铂存在下DCA光敏分解水制氩的反应条件并研究了用甲苯、对二甲苯为电子给体时DCA光解水制氢的反应。结果表明以DCA为敏化剂时许多化合物(E^ox<2V)均可作为电子给体,在制氢的同时还有可能合成有用化合物等优点。     

瞬态两相流的矢通量分裂解

本文用矢通量分裂法求解了瞬态两相流问题.首先导出了瞬态两相流控制方程的特征根,然后将矢通量分裂成二个子矢量,使每一个子矢量仅包含一种符号的特征值,再利用空间的一侧差分,得到差分方程并求解,最后将数值预测与实验结果进行了比较,其结果十分吻合.     

利用塞曼分裂中σ土成分-原子吸收光谱法测定钛精矿中高含量镁

提出了以氢氟酸和硫酸混合酸分解钛精矿,研究了利用塞曼分裂σ±成分原子吸收光谱法测定钛精矿中高含量镁的可性行和基本条件,拟定了在盐酸介质中,以氯化锶作释放剂,原子吸收光谱法测定高含量镁的分析方法.操作简便,用于钛精矿样品分析,获得满意结果.     

强收敛的球松弛CQ算法及其应用

为了求解分裂可行问题,Yu等提出了一个球松弛CQ算法.由于该算法只需计算到闭球上的投影,同时不需要计算有界线性算子的范数,该算法是容易实现的.但是球松弛CQ算法在无穷维Hilbert空间中仅仅具有弱收敛性.首先构造了一个强收敛的球松弛CQ算法.在较弱的条件下,证明了算法的强收敛性.其次将该算法应用到一类闭凸集上的投影问...