Notes on polynomial levelability

We consider the polynomial levelability with respect to approximation algorithms (PLAA). A setA isPLAA if given any approximation algorithm forA and a polynomialp, there are another approximation algorithm forA and a polynomialq such that for infinitely many inputsx, acceptsx but has running time greater thanp(|x|) and acceptsx within timeq(|x|). In this paper, an algorithm is called an approximation algorithm forA if the symmetric differenceA L() is sparse, whereL() is the set of strings recognized by. We prove that all naturalNP-complete sets arePLAA unlessP=NP and allEXP-complete sets arePLAA.This work was supported in part by the NSF under Grant DCR 83-12472 and was done while the author studied at the Department of Mathematics, University of California at Santa Barbara. The work was also supported by Chinese National Science Foundation     

平衡聚合反应产物分子量分布参数的确定

<正> 四氢呋喃的阳离子型聚合反应和α-甲基苯乙烯的阴离子型聚合反应都是平衡聚合反应。Tobolsky等已经对平衡聚合反应动力学作了很多研究,认为该反应的产物具有Flory分布。但尚未确定上述分子量分布函数的参变数与哪些因素有关,因此该公式的应用受到限制。近年来,平衡聚合反应的研究蓬勃展开,其反应动力学理论显然也须进一步完善,以便可以通过反应条件来预测,调节和控制反应产物的平均分子量和分散     

X…H2O（X=Li，Na，K）非线性光学性质的从头算理论

在MP2水平上采用6-311G基组计算了van der Waals复合物X…H2O(X=Li, Na, K)的非线性光学性质(μ, α, β), 讨论了基组效应和电子相关效应对计算结果的贡献. 在MP2/6-311++G(2df, 2pd)水平上计算得到的三个复合物分子X(X=Li, Na, K)•••H2O的非线性光学性质. 结果表明, 三种复合物分子均具有巨大的一阶超极化率, 其中最外层电子的弥散特性对一阶超极化率有很大的影响.     

Chiral Salen Manganese Complex Immobilized on SBA-15： A New Heterogenized Enantioselective Catalyst for the Epoxidation of Alkenes

Jacobsen‘s catalyst was immobilized onto SBA-15 by multi-step grafting, and this heterogenized catalyst exhibited comparable catalytic performance with the corresponding homogeneous counterpart for the epoxidation of alkenes, and the catalyst could be recycled effectively several times.     

膨润土对结晶紫的吸附

用分光光度、显微电泳和ｘ－射线衍射等方法研究了膨润土对结晶紫的吸附；实验表明，钙型膨润土在吸收结晶紫溶液时，加入钠盐可明显改善吸附效果。     

Studies on Solid State Reactions of Coordination Compounds（LXXI）──Solid State Reactions of o－Aminobenzoic Acid with Copper（Ⅱ） Acetate and Formate at Room Temperature

ＳｔｕｄｉｅｓｏｎＳｏｌｉｄＳｔａｔｅＲｅａｃｔｉｏｎｓｏｆＣｏｏｒｄｉｎａｔｉｏｎＣｏｍｐｏｕｎｄｓ（ＬＸＸＩ）──ＳｏｌｉｄＳｔａｔｅＲｅａｃｔｉｏｎｓｏｆｏ－ＡｍｉｎｏｂｅｎｚｏｉｃＡｃｉｄｗｉｔｈＣｏｐｐｅｒ（Ⅱ）ＡｃｅｔａｔｅａｎｄＦｏｒｍ...     

Sonochemical Degradation of Polychlorinated Biphenyls in Aqueous Solution

Ultrasonic waves in a liquid induce the formation of cavitation bubbles. Submitted to an oscillating pressure field, cavities filled with vapor and dissolved gas pulsate, grow and implode violently when they reach a critical resonant size. According to the 慼ot spot?theory, extremely high temperature and pressure are produced during the collapse of cavitation bubbles1. Under these extreme conditions, the molecules vaporized in the bubbles as well as in the surrounding condensed layer could …     

硅氧化合物化学蒸气沉积法精细调变沸石分子筛

本文报告了用化学蒸气沉积法精细调变沸石孔径的结果，着重考察了正硅酸乙酯和六甲基硅醚沉积条件的关系。间二甲苯和均三甲苯的吸附动力学实验表明，用Ｓｉ－（ＯＥｔ）４制得的ＳｉＨβ和ＳｉＨＺＳＭ－５上的吸附速率及吸附量明显下降，证实沸石的孔口得到了调变。正己烷的吸附等温线和异丙醇探针反应，沸石孔容和孔道内酸性未受孔口调变的影响。结果还表明Ｓｉ（ＯＥｔ）４未进入沸石孔道，而六甲基硅醚分子则进入Ｈβ沸石孔道，     

软珊瑚Sinularia sp.中次生代谢产物的结构鉴定

细胞毒性;软珊瑚Sinularia sp.中次生代谢产物的结构鉴定