具有生物活性氮杂甾体化合物的研究进展

本文概述了近年来新合成的氮杂甾体类化合物的生物活性及研究进展,并对此方面的发展趋势、应用前景做了展望.     

ON UNIQUENESS OF MEROMORPHIC FUNCTIONS WITH SHARED-SETS IN AN ANGULAR DOMAIN

In this article, we deal with the uniqueness problems on meromorphic functions sharing two finite sets in an angular domain instead of the whole plane C. In particular, we investigate the uniqueness for meromorphic functions of infinite order in an angular domain and obtain some results. Moreover, examples show that the conditions in theorems are necessary.     

邻菲咯啉乳酸镍配合物的合成与表征及其与牛血清白蛋白相互作用的荧光分析

利用溶液法合成了配合物[Ni(Hlact)₂(phen)]·2H₂O(1),并对该配合物进行了元素分析、红外光谱和X-射线单晶衍射表征。通过荧光光谱法研究了不同温度下配合物1与牛血清白蛋白相互作用的荧光强度的变化,计算在不同温度下,配合物1与牛血清白蛋白(BSA)的结合常数、结合位点数以及热力学函数,进一步讨论了配合物1与BSA相互作用的作用力类型和两者之间的距离。结果表明,配合物1对牛血清白蛋白的荧光猝灭为静态猝灭过程,它与牛血清白蛋白的相互作用有一个位点,结合常数的平均值5.06×10⁵ L·mol^-1,作用距离为2.35 nm,相互作用力表现为氢键和范德华相互作用。     

Nonlocal Andreev reflection in a three-terminal Aharonov-Bohm interferometer

We theoretically report a nonlocal Andreev reflection in an Aharonov-Bohm interferometer, which is a three-terminal normal metal/superconductor (NS) mesoscopic hybrid system. It is found that this nonlocal Andreev reflection is sensitive to the systematic parameters, such as the bias voltages, the quantum dot levels, and the external magnetic flux. If we set the chemical potential of one normal metal lead equal to zero, the electronic current in the lead results from two competing processes: the quasiparticle transmission and nonlocal Andreev reflection. The appearance of zero electronic current signals unambiguously the existence of this nonlocal Andreev reflection.     

On Homogeneous Differential Polynomials of Meromorphic Functions

In this paper, we study one conjecture proposed by W. Bergweiler and show that any transcendental meromorphic functions f(z) have the form exp(αz+β) if f(z)f″(z)–a(f′ (z))²≠0, where . Moreover, an analogous normality criterion is obtained. Supported by National Natural Science Foundation and Science Technology Promotion Foundation of Fujian Province (2003)     

收缩临界5-连通图的平均度

M．Kriesell证明了收缩临界5-连通图的平均度不超过24并猜想收缩临界5-连通图的平均度小于10．本文构造了一个反例证明M．Kriesell的猜想不成立并给出了收缩临界5-连通图平均度新的上界．     

Pendulum with linear damping and variable length

The methods of multiple scales and approximate potential are used to study pendulums with linear damping and variable length. According to the order of the coefficient of friction compared with that of the slowly varying parameter of length, three different cases are discussed in details. Asymptotic analytical expressions of amplitude, frequency and solution are obtained. The method of approximate potential makes the results effective for large oscillations. A modified multiple scales method is used to get more accurate leading order approximations when the coefficient friction is not small. Comparisons are also made with numerical results to show the efficiency of the present method.     

Upconversion luminescence in Tm3+/Yb3+co-doped lead tungstate tellurite glasses

This work reports the upconversion luminescence properties of Tm³⁺/Yb³⁺ ions in lead tungstate tellurite (LTT) glasses. Judd–Oflet intensity parameters have been obtained from the absorption band intensities of Tm³⁺ singly-doped and Tm³⁺/Yb³⁺ co-doped LTT glasses. The spontaneous emission probabilities, radiative lifetimes and branching ratios for ¹G₄ and ³H₄ emission levels of Tm³⁺ have been determined. Upconversion luminescence has been observed by exciting the samples at 980 nm (Yb³⁺:²F_7/2→²F_5/2) at room temperature. Four upconversion emission bands corresponding to the ¹G₄→³H₆ (477 nm), ¹G₄→³F₄ (651 nm), ¹G₄→³H₅ (702 nm) and ³H₄→³H₆ (810 nm) transitions have been identified. The relative variation in the intensities of upconversion bands, the different channels responsible for upconversion spectra and the effect of Yb³⁺ ions concentration on the upconversion luminescence of Tm³⁺ ions have also been discussed.     

Singularly perturbed solution for weakly nonlinear equations with two parameters

A class of singularly perturbed boundary value problems of weakly non- linear equation for fourth order on the interval[a,b]with two parameters is considered. Under suitable conditions,firstly,the reduced solution and formal outer solution are con- structed using the expansion method of power series.Secondly,using the transformation of stretched variable,the first boundary layer corrective term near x=a is constructed which possesses exponential attenuation behavior.Then,using the stronger transfor- mation of stretched variable,the second boundary layer corrective term near x=a is constructed,which also possesses exponential attenuation behavior.The thickness of second boundary layer is smaller than the first one and forms a cover layer near x=a. Finally,using the theory of differential inequalities,the existence,uniform validity in the whole interval[a,b]and asymptotic behavior of solution for the original boundary value problem are proved.Satisfying results are obtained.     

n-维赋范空间单位球极小球覆盖数2n-1与包含等距同构于（R^n-1，‖‖∞）的子空间

证明了对于一个n-维赋范空间X，如果b#=2n-1，则它一定包含一个与（R^n-1，‖‖∞）等距同构的子空间．