Journal of Mathematical Research and Exposition Guide for Authors

Journal overview： Journal of Mathematical Research and Exposition （JMRE） was created in 1981 to promote mathematical research and to report and review theoretical and applied results in mathematics. This journal is devoted to original research articles of the highest quality in all areas of pure and applied mathematics.     

前进中的嘉兴学院生物与化学工程学院

嘉兴学院至今已有91年办学历史。学校校址位于闻名遐迩的革命圣地南湖之畔——浙江省嘉兴市。嘉兴地处长三角中心的杭嘉湖平原，毗邻上海、杭州、苏州，经济繁荣，交通发达，人文荟萃，素有“丝绸之府、鱼米之乡、文化之邦”美称。     

加权Bergman空间A2α(Ω)上的Schatten-P类加权复合算子

刻画加权Bergman空间A2α(Ω)上的加权复合算子Cψ,ψ的Schatten-p类.     

加权Bergman空间Aα^2（Ω）上的Schatten-p类加权复合算子

刻画加权Bergman空间Aα^2（Ω）上的加权复合算子Cφ,Ф的Schatten-p类．     

一类混合单调算子的不动点定理

运用锥理论与迭代方法,讨论了在较弱条件下一类混合单调算子的不动点的存在唯一性,所得结果是某些已有结果的本质改进和推广.     

数域Q(P_1~(1/2),…,P_t~(1/2))(t≥4)的类数为偶数

设t≥4，ｐ１，…，ｐｔ为不同的模４余１的素数，本文证明了数域P1~(1/2)，…，Pt~(1/2)的类数为偶数．     

Lattice QCD Production on a Commodity Cluster at Fermilab

Large scale QCD Monte Carlo calculations have typically been performed on either commercial supercomputers or specially built massively parallel computers such as Fermilab‘s ACPMAPS.Commodity clusters equipped with high performance networking equipment present an attractive alternative,achieving superior performance to price ratios and offering clear upgrade paths.We describe the construction and results to date of Fermilab‘s prototype production cluster,which consists of 80 dual Pentium Ⅲsystems interconnected with Myrinet networking hardware.We describe software tools and techniques we have developed for operating system installation and administration.We discuss software optimizations using the Pentium‘s built-in parallel computation facilities(SSE),Finally,we present short and long term plans for the construction of larger facilities.     

纯无限单C*-代数的扩张代数的K-理论

给出了纯无限单的C*-代数A通过K的扩张代数E的K-理论的一种刻划.证明了K0(E)等于E中所有无限投影的Murry-von Neumann等价类所成的交换群,K1(E)等于E中酉元的同伦等价类所成的交换群.作为一个应用,最后给出了A中酉元可提升的等价条件,其中K为可分无限维Hilbert空间上紧箅子全体所成的C*-代数.     

模糊逻辑系统Luk和L^＊中理论相容度的计算公式（Ⅲ）

解决了模糊逻辑系统L^＊与Luk中理论相容度的计算问题。首先给出了L^＊中理论相容度的计算公式；然后，引入了逻辑公式的核，理论的核的新概念，从而，得到了模糊逻辑系统Luk中理论相容度的计算公式；最后，给出了理论不相容的两个新的充要条件。