Poset extensions, convex sets, and semilattice presentations

The paper is devoted to an algebraic and geometric study of the feasible set of a poset, the set of finite probability distributions on the elements of the poset whose weights satisfy the order relationships specified by the poset. For a general poset, this feasible set is a barycentric algebra. The feasible sets of the order structures on a given finite set are precisely the convex unions of the primary simplices, the facets of the first barycentric subdivision of the simplex spanned by the elements of the set. As another fragment of a potential complete duality theory for barycentric algebras, a duality is established between order-preserving mappings and embeddings of feasible sets. In particular, the primary simplices constituting the feasible set of a given finite poset are the feasible sets of the linear extensions of the poset. A finite poset is connected if and only if its barycentre is an extreme point of its feasible set. The feasible set of a (general) disconnected poset is the join of the feasible sets of its components. The extreme points of the feasible set of a finite poset are specified in terms of the disjointly irreducible elements of the semilattice presented by the poset. Semilattices presented by posets are characterised in terms of various distributivity concepts.     

用H_α光谱测量方法研究简单磁镜装置中热电子等离子体的性质

本文描述了简单磁镜装置中微波加热的氢等离子体的Ｈ_α面发光度特性的实验结果。与Ｘ射线、反磁探针、朗缪尔探针等测量结果相结合，给出了ＭＭ－２简单磁镜装置中ＥＣＲ等离子体的一些基本特性。     

Identification of tartrazine and sunset yellow by fluorescence spectroscopy combined with radial basis function neural network

The fluorescence spectra of synthetic food dyes of sunset yellow and tartrazine are analyzed. The fluorescence peak wavelengths of sunset yellow and tartrazine are 576 and 569 nm, respectively, while the fluorescence spectra widths are 480-750 and 500 750 nm induced by ultraviolet light between 310-400 nm. The fluorescence spectra of sunset yellow overlap heavily with those of tartrazine, so it is difficult to distinguish them. Based on the principle of radial basis function neural network, a neural network is obtained from the training of the 14 groups of experimental data. The results show that the species of sunset yellow and tartrazine could be recognized accurately. This method has potential applications in other synthetic food dyes detection and food safety inspection.     

强Duffing系统的局部分岔分析

本文通过坐标变化和近恒等变化，将强Ｄｕｆｆｉｎｇ方程化成范式，从而可以得到在不同共振条件下的分合方程以及其近似解，应用奇异性理论研究了强Ｄｕｆｆｉｎｇ在开折参数及物理参数平面上的转迁集及其局部分岔图．     

磁阱等离子体源离子注入研究

本文描述在磁阱装置中利用旋转等离子体的概念给浸泡于等离子体中的样品施加直流高压的实验工作,工件电压高达-22kV,文中还对相关物理问题进行了定性分析。     

NMR spectra and potentiometry studies of aluminum(III) binding with coenzyme NAD+ in acidic aqueous solutions.

Complexation and conformational studies of coenzyme NAD+ with aluminum were conducted in acidic aqueous solutions (pH 2-5) by means of potentiometry as well as multinuclear (1H, 13C, 31P, 27Al) and two-dimensional (1H, 1H-NOESY) NMR spectroscopy. These led to the following results: (1) Al could coordinate with NAD+ through the following binding sites: N7' of adenine and pyrophosphate free oxygen (O(A)1, O(N)1,O(A)2) to form various mononuclear 1:1 (AlLH23+, AlLH2+) and 2:1 (AlL2-) species, and dinuclear 2:2 (Al2L22+) species. (2) The conformations of NAD+ and Al-NAD+ depended on the solvents and different species in the complexes. The results suggest the occurrence of an Al-linked complexation, which causes structural changes at the primary recognition sites and secondary conformational alterations for coenzymes. This finding will help us to understand role of Al in biological enzyme reaction systems.     

多组分水溶液中的石油磺酸盐与OP—10的荧光发射光谱

含苯氧基的非离子型和阴离子型表面活性剂在一定激发波长下可发出特定波长的荧光，在稀溶液中荧光发射强度与其浓度成正比，不受溶液里存在的其他物质的影响，在适当条件下相互之间也无影响。本文报道了用荧光检测复合驱油体系中的ＯＰ１０、石油磺酸盐和ＯＰ１０＋石油磺酸盐的结果。此法选择性高，灵敏度高，操作简便，可望用于复合驱油体系中表面活性剂的分析、研究。     

A class of root finding methods

A one-parameter family of iterative methods is presented for finding the roots of transcendental equations. For a class of entire functions this family is shown to converge monotonically and globally. We also establish that for simple roots, when a model parameterh is sufficiently small, the convergence is at a linear rate with orderh ².This work is supported in part by NSERC Grant No. 079-6016.