Alkoxyamine-cyanoborane adducts: efficient cyanoborane transfer agents

We report the synthesis of the hitherto unknown zwitterionic alkoxyamino cyanoboranes by reduction of O-alkyloximes with sodium cyanoborohydride; unprecedented cyanoboronated N-alkoxyformamidines were also isolated as by-products. Boronated alkoxyamines were found to be efficient cyanoborane transfer agents towards more basic amines, including aminosugars; they were also successfully transformed into neoglycoconjugates by the neoglycorandomization reaction with reducing sugars.     

Gorenstein正则环、奇点范畴和Ding模

本文证明了任意环的整体Ding投射维数和整体Ding内射维数一致,研究了奇点范畴和相对于Ding模的稳定范畴间的关系,并刻画了Gorenstein (正则)环以及环的整体维数的有限性.     

The dielectric constant of polarizable fluids from the renormalized perturbation theory

A perturbation theoretical equation for the dielectric constant of polarizable dipolar fluids is proposed. For the fluctuation of the dipole moment, namely for the Kirkwood g-factor, a formula is given on the basis of Wertheim's renormalized perturbation theory. Using this formula, a series expansion for ?(p) is suggested on the basis of the Kirkwood equation, which gives an implicit function for ? as a function of ¶. The same series expansion can be derived from the Clausius-Mosotti equation—thus it proves to be independent of the boundary conditions. The resulting equation gives excellent results for the dielectric constant of the polarizable Stockmayer fluid producing good agreement with computer simulation data. The series expansion gives better results than the Kirkwood equation itself.     

Virial coefficients and equations of state for mixtures of hard discs,hard spheres and hard hyperspheres

The composition-independent virial coefficients of a d-dimensional binary mixture of (additive) hard hyperspheres following from a recent proposal for the equation of state of the mixture (Santos, A., Yuste, S. B., and López de Haro, M., 1999, Molec. Phys., 96, 1) are examined. Good agreement between theoretical estimates and available exact or numerical results is found for d = 2, 3, 4 and 5, except for mixtures whose components are very disparate in size. A slight modification that remedies this deficiency is introduced and the resummation of the associated virial series is carried out, leading to a new proposal for the equation of state. The case of binary hard sphere mixtures (d = 3) is analysed in some detail.     

非自治 Hamilton 系统多重周期解的存在性

一、引言和主要结果在临界点理论中,我们知道如果具有变分结构的方程含有某种对称性,则对应的泛函在相应的群(例如 Z_2或 S~1)作用下是不变的.这种泛函常常具有多重临界点甚至无穷多个临界点,对应的方程同时具有多重解.令人感兴趣的问题是如果这种对称性被扰动,在什么条件下多重解的性质仍能保持?这类问题对于半线性椭圆型方程,半线性波动方程以及Hamilton 系统已有了若干重要的结果,也已提出了许多保证无穷多解存在性的充分性条件.但这些结果都只考虑具有某种对称性的主要非线性项是超线性时的情形,而对称扰动项或是自由项或其增长阶低于对称项的增长阶.一个自然的问题是能否提出另外一类保证无穷多解存在性的充分条件.例如对称项的增长阶低于扰动项的增长阶?本文将部     

铜(Ⅱ)/H2O2对多巴氧化作用的紫外-可见光谱研究

本文采用紫外－可见光谱法研究了在不同pH条件下铜（Ⅱ）／H2O2对多巴氧化作用的影响。结果表明，pH可影响铜离子催化多巴氧化成黑色素的效率，在弱酸性环境下铜（Ⅱ）的催化作用要比pH7.4时强。     

Synthesis of isoquinobenzodiazepinediones

1-(2′-Chloroacetylamino)-4,4-dimethyl-1,4-dihydro-3(2H)-isoquinolinone ( 3 ) was cyclised by treatment with sodium hydride in dimethyl sulphoxide containing 0.1 % of water to give 10,10-dimethyl-6,7,9,10-tetrahydro-5H,14bH-isoquino[2,1-d][1,4]benzodiazepine-6,9-dione ( 4 ) in a yield of 80%. In anhydrous dimethyl sulphoxide the main product of the reaction was 5-N-(4,4-dimethyl-1-phenyl-1,4-dihydro-3(2H)-isoquinolinon-1′-yl)isoquino[2,1-d][1,4]benzodiazepine-6,9-dione ( 5 ), which was also prepared by the reaction of 3 with 4 .     

On the length of simplex paths: The assignment case

This paper reports on an experimental study of the distribution of the length of simplex paths for the Optimal Assignment Problem. We study the distribution of the pivot counts for a version of the simplex method that with essentially equal probabilities introduces any variable with negative reduced cost into the basis. In this situation the distribution of the pivot counts turns out to be normally distributed and independent of the actual cost coefficients, provided these are sufficiently spread out. Further, the mean and standard deviation grow only moderately with the size of the problem, namely asd ^1.8, andd ^1.5 respectively for ad×d problem, implying in particular that the pivot counts concentrate around the mean with growingd. The usual simplex method on the other hand gives a growth ofd ^1.6. Hence a large part of the favourable polynomial growth experienced on practical problems may be attributed to the fact that the simplex paths are rather short on the average, at least for assignment problems.     

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