群分次λ-HOPF代数的一些构造

研究群分次λ-双代数(Hopf代数)的一些构造,利用给定的群分次λ-双代数(Hopf代数)和群上的双特征标得到两类新的群分次λ-双代数(Hopf代数).     

λ噬菌体溶源/裂解转换调控与定态熵

被λ噬菌体感染的大肠杆菌是研究生物基因调控网络的重要模板之一. 根据该调控系统操纵子与调控蛋白相互作用特点, 利用热力学配分函数描述调控蛋白与操纵子的结合概率, 在给出该调控系统的动力学分岔的基础上, 计算系统各定态的热力学熵. 结果显示, 溶源态和裂解态较鞍点和分岔点具有更低的熵值, 且溶源态的熵最低, 说明处于溶源态的系统具有更高的生物序.     

关于随机线性算子的G0-半群

首先对几乎处处有界的随机线性算子的Co-半群{B（t）：t≥0）利用L^0-范数的转化技巧给出一个特殊的性质．然后,基于这一性质,对与{B（t）：t≥0}的随机无穷小生成元相关的一些重要的性质进行了研究,并改进了近期文献中一些已知的结果。     

Generalized R-KKM theorems in topological space and their applications

In this paper, we introduce generalized R-KKM mapping and discuss some new generalized R-KKM theorem under the nonconvexity setting of topological space. As applications, some new minimax inequalities, saddle point theorem are proved in topological space. Our theorems unified and extend many known results in recent literature.     

A convenient approach to λ-phosphinines via interaction of phosphorylated 3-pyrrolidinocrotonitrile with 2-bromoacetophenones

The alkylation of 2-(diphenylphosphino)-3-pyrrolidin-1-ylbut-2-enenitrile with a set of bromoacetophenones has been studied. Cyclization of the phosphonium salts into 6-cyano-3-hydroxy-3-aryl-1,1-diphenyl-5-pyrrolidin-1-yl-1,2,3,4-tetrahydrophosphininium bromides under heating in the presence of catalytic amount of a base is discussed. Starting both from the acyclic and the cyclic phosphonium salts, new types of λ⁵-phosphinines have been synthesized.     

[2,2,2-TRIFLUOR-1-(2-HYDROXYPHENYL)ETHYL]-PHOSPHONSÄURE: MOLEKÜLSTRUKTUR VON [2,2,2-TRIFLUOR-1-(2-HYDROXYPHENYL)-ETHYL]DIMETHYLPHOSPHONAT

Abstract

The interaction of trimethylphosphite (1) and 2-trifluoroacetylphenol (2) yielded 4,5-benzo-2,2,2-trimethoxy-3-trifluoromethyl-1,2λ⁵[sgrave]⁵-oxaphosphol (3) and trimethylphosphate but not the expected 3-hydroxy derivative. Hydrolysis of compound 3 furnished the respective acyclic dimethylphosphonate 4 which was converted into the bis(trimethylsilyl)ester 5 and finally into the free phosphonic acid 6. O-trimethylsilylated compound 8 added to tris(trimethylsilyl)phospite (7) furnishing phosphonate 9 without abstracting the [sgrave]-oxygen. The molecular structure of 4 exhibited a somewhat distorted tetrahedral arrangement of substituents around phosphorus. An intermolecular hydrogen bridge O—H… O[dbnd]P was observed (O…O = 266.7 pm).     

超立方体上的多元线性回归模型的最优设计

对n维超立方体上的多元线性回归模型采用2n个顶点进行均匀测度设计,证明了该设计在Iλ最优准则及D、A最优准则下都是最优设计,并给出了n=2,3时的最小二乘估计.     

λ-central BMO estimates for commutators of singular integral operators with rough kernels

The authors establish λ-central BMO estimates for commutators of singular integral operators with rough kernels on central Morrey spaces. Moreover, the boundedness of a class of multisublinear operators on the product of central Morrey spaces is discussed. As its special cases, the corresponding results of multilinear Calderon-Zygmund operators and multilinear fractional integral operators can be deduced, resDectivelv.     

Synthesis of phosphanaphthalenes and nido-carborane fused six-membered phosphacycles

A simple method to synthesize luminescent λ⁵-phosphanaphthalenes and zwitterionic nido-carborane fused six-membered phosphacycles was developed from the reaction of ortho-phosphinobenzoaldehydes or ortho-phosphinocarboranylaldehydes with an electron-deficient alkyne,respectively.Similar results were obtained with the imino analogues.