Characterization of isolated homogeneous hypersurface singularities in ℂ4

Let V be a hypersurface with an isolated singularity at the origin in ? ⁿ⁺¹. It is a natural question to ask when V is defined by weighted homogeneous polynomial or homogeneous polynomial up to biholomorphic change of coordinates. In 1971, a beautiful theorem of Saito gives a necessary and sufficient condition for V to be defined by a weighted homogeneous polynomial. For a two-dimensional isolated hypersurface signularity V, Xu and Yau found a coordinate free characterization for V to be defined by a homogeneous polynomial. Recently Lin and Yau gave necessary and sufficient conditions for a 3-dimensional isolated hypersurface singularity with geometric genus bigger than zero to be defined by a homogeneous polynomial. The purpose of this paper is to prove that Lin-Yau’s theorem remains true for singularities with geometric genus equal to zero.     

遗传中紧空间与散射分解

本文证明了可数仿紧(中紧、亚紧)空间有类似Junnila的刻画，遗传中紧空间不具有类似Junnila的刻画，并给出了每个散射分解有紧有限的开膨胀的充要条件．     

ON THE SINGULAR DIRECTIONS OF VALUE DISTRIBUTION OF HOLOMORPHIC CURVES IN P^n（C）

This article proves the existence of singular directions of value distribution theory for some transcendental holomorphic curves in the n-dimensional complex projective space Pn(C). An example is given to complement these results.     

Michael-Addition Reaction of Malononitrile with a,β-Unsaturated Cycloketones Catalyzed by KF/Al_2O_3

The utility of fluoride salts as potential base in a va-riety of synthetic reactions has been recognized in re-cent years.1 However, low solubility of fluoride salts in ordinary solvents hampers their wide applications in organic synthesis. On the other hand, there has been increasing use of inorganic solid supports as catalysts for many years2 resulting in higher selectivity, milder reaction conditions and easier work-up. Especially po-tassium fluoride-coated alumina (KF-alumina) has been a …     

两两序列比对的一种新方法

本文研究DNA的两两序列比时,提出了基于快速沃尔什变换的新方法。经过计算模拟分析可知,比对的时间复杂度和空间复杂度明显降低.     

一种新型Au(Ⅲ)-吡啶酰胺配合物的合成，表征及其与5′-单磷酸鸟苷的反应研究

利用四氯合金酸和N-4-甲基苯基2-吡啶甲酰胺(HL)反应，合成得到了一种新的Au(Ⅲ)配合物：二氯(N-4-甲基苯基2-吡啶甲酰胺合金(Ⅲ)[Au(L-N，N′)Cl₂]。并通过元素分析、红外光谱、核磁共振谱、质谱及X-射线单晶衍射对其进行了表征。结构分析表明，Au(Ⅲ)由二个氮原子和二个氯原子配位，呈平面四方形结构。质谱研究发现，该化合物与5′-单磷酸鸟苷(5′-GMP)反应生成[Au(L-N，N′)(5′-GMP)₂]。     

微波辐射下9-芳基-10-对甲苯基多氢吖啶衍生物的合成

芳醛、5,5-二甲基-1，3-环已二酮（达米酮）与对甲基苯胺在以乙二醇为溶剂 ，微波辐射下反应生成一素列新的3，3，6，6-四甲基-1，8-二氧代-9-芳基-10-对 甲基苯基-1，2，3，4，5，6，7，8，9，10-十氢吖啶，产物的结构通过单晶X射线 衍射分析确证。     

"LIVING" FREE RADICAL SYNTHESIS OF NOVEL RODCOIL DIBLOCK COPOLYMERS WITH POLYSTYRENE AND MESOGEN-JACKETED LIQUID CRYSTAL POLYMER SEGMENTS*

The synthesis of rod-coil diblock copolymers was achieved for the firsttime by TEMPO-mediated "living" free radical polymerization of styrene and 2,5-bis[(4-methoxyphenyl)oxycarbonyl]styrene(MPCS). The block architecture of the two diblockcopolymers thus prepared, MPCS-b-St(5400/2400) and MPCS-b-St(10800/8700), was con-firmed by GPC, DSC studies and the formation of multimolecular micelles.     

芳亚甲基丙二腈、芳亚甲基氰乙酰胺的固相合成

芳醛和丙二腈、氰乙酰胺在NH4Ac催化下经固相反应高产率的得到芳亚甲基丙 二腈和芳亚甲基氰乙酰胺。     

Ru/Mn-Ce/TiO2催化剂催化湿式氧化丁二酸的反应活性和动力学研究

在二氧化钛载体中通过掺杂Ru，Mn，Ce制备了一系列用于催化湿式氧化的催化剂，利用XRD，TEM，BET等手段对催化剂进行了表征．在反应温度T=210～270℃，氧分压Po2=2．1MPa条件下，在间歇式高压反应釜中对丁二酸进行了降解实验．催化剂在反应中有很高的催化活性．催化剂在30min内对丁二酸降解的COD去除率为54．4～98．3％．Ru及Mn，Ce的氧化物对催化活性都有促进作用．建立了丁二酸催化湿式氧化的一级分段动力学模型．基于COD的一段及二段反应的活化能分别为43．74kJ／mol和54．28kJ／mol．