脉冲电磁场杀菌效应试验研究

利用自行研制的直流脉冲发生装置产生的脉冲电磁场分别对生活污水和纯种大肠埃希氏菌液进行电磁处理 ,研究其对细菌的杀菌效果及机理 .实验表明电磁脉冲对生活污水及纯种菌液中的细菌都有明显的致死作用 .实验结果表明 ,停留时间、水流速度、线圈绕组、输出功率、脉冲频率对脉冲磁场的杀菌效果具有影响作用 ,在停留时间 1 2h ,输出功率 4 6 8W ,脉冲频率 6 5kHz ,水流速度 0 .3m s时 ,生活污水的细菌总数从 3.9× 1 0 7个 mL下降到 1 .5× 1 0 2 个 mL ,存活率达 1 0 - 5;大肠杆菌数从 2 .4× 1 0 6 个 mL下降到 3.6× 1 0 2 个 mL ,存活率为 1 0 - 4.在此条件下 ,四种质量浓度的纯种大肠埃希氏菌液经电磁处理后 ,其细菌的存活率均在 1 0 - 3～ 1 0 - 5.细菌细胞的扫描电镜照片表明电磁作用使细胞表面产生凹陷 ,孔洞 ,细胞质溶出现象 ,从而证实了感应电流杀菌作用机制     

首次公开发行股票(IPO)定价模型的评析

对首次公开发行股票定价的三种模型的假设条件、应用优势和局限性进行了评估.     

On top-down splaying

The splay tree is a self-adjusting binary search tree which has a good amortized performance. This paper studies some properties of top-down splay trees. Different ways to charge for the primitive operations of top-down splaying are discussed. We also give some empirical results concerning the behaviour of different top-down restructuring algorithms.This work was supported by the Academy of Finland.     

Die Lasker-Bedingung für Nicht Endlich Erzeugte Moduln

Ohne Zusammenfassung

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我国股票市场的价值基础及价格泡沫研究

借助剩余收益模型测定了我国股票市场1992年至2002年历年年末的市场价值基础,并探讨了股票市场价格泡沫问题.研究结果表明,尽管上市公司的盈利能力不断下降,但市场的价值基础并未出现明显下降;由于市场的不成熟,我国股票市场中的泡沫成分较多;股价指数及市盈率指标不具有价格泡沫及投资价值的判断功能.     

On the uniqueness of minimizing harmonic maps to a closed hemisphere

We study the uniqueness of minimizing harmonic maps to a closed hemisphere. We are able to describe the boundary data for which there are more than one minimizer, and to describe in these cases the corresponding set of minimizers. This is a limiting case for a former result of W.Jäger and H.Kaul.This article was processed by the author using the Springer-Verlag T_EX PJourlg macro package 1991.     

The six semifield planes associated with a semifield flock

In 1965 Knuth (J. Algebra 2 (1965) 182) noticed that a finite semifield was determined by a 3-cube array (a_ijk) and that any permutation of the indices would give another semifield. In this article we explain the geometrical significance of these permutations. It is known that a pair of functions (f,g) where f and g are functions from GF(q) to GF(q) with the property that f and g are linear over some subfield and g(x)²+4xf(x) is a non-square for all x∈GF(q)∗, q odd, give rise to certain semifields, one of which is commutative of rank 2 over its middle nucleus, one of which arises from a semifield flock of the quadratic cone, and another that comes from a translation ovoid of Q(4,q). We show that there are in fact six non-isotopic semifields that can be constructed from such a pair of functions, which will give rise to six non-isomorphic semifield planes, unless (f,g) are of linear type or of Dickson-Kantor-Knuth type. These six semifields fall into two sets of three semifields related by Knuth operations.     

Subword complexes in Coxeter groups

Let (Π,Σ) be a Coxeter system. An ordered list of elements in Σ and an element in Π determine a subword complex, as introduced in Knutson and Miller (Ann. of Math. (2) (2003), to appear). Subword complexes are demonstrated here to be homeomorphic to balls or spheres, and their Hilbert series are shown to reflect combinatorial properties of reduced expressions in Coxeter groups. Two formulae for double Grothendieck polynomials, one of which appeared in Fomin and Kirillov (Proceedings of the Sixth Conference in Formal Power Series and Algebraic Combinatorics, DIMACS, 1994, pp. 183-190), are recovered in the context of simplicial topology for subword complexes. Some open questions related to subword complexes are presented.     

On the Besov regularity of conformal maps and layer potentials on nonsmooth domains

We study the Besov regularity of conformal mappings for domains with rough boundary based on the well-posedness for the Dirichlet problem with Besov data. Also, sharp invertibility results for the classical layer potential operators on Sobolev-Besov spaces on the boundary of curvilinear polygons are obtained.     

Small zeros of quadratic forms with linear conditions

Given a quadratic form and M linear forms in N+1 variables with coefficients in a number field K, suppose that there exists a point in K^N+1 at which the quadratic form vanishes and all the linear forms do not. Then we show that there exists a point like this of relatively small height. This generalizes a result of D.W. Masser.