环状硅酸盐图的友好指数集

Let G be a graph with vertex set V(G) and edge set E(G). A labeling f : V(G) →Z2 induces an edge labeling f*: E(G) → Z2 defined by f*(xy) = f(x) + f(y), for each edge xy ∈ E(G). For i ∈ Z2, let vf(i) = |{v ∈ V(G) : f(v) = i}| and ef(i) = |{e ∈ E(G) : f*(e) =i}|. A labeling f of a graph G is said to be friendly if |vf(0)- vf(1)| ≤ 1. The friendly index set of the graph G, denoted FI(G), is defined as {|ef(0)- ef(1)|: the vertex labeling f is friendly}. This is a generalization of graph cordiality. We investigate the friendly index sets of cyclic silicates CS(n, m).     

Viscosity method for hierarchical fixed point and variational inequalities with applications

A viscosity method for a hierarchical fixed point solving variational inequality problems is presented. The method is used to solve variational inequalities, where the involved mappings are non-expansive. Solutions are sought in the set of the fixed points of another non-expansive mapping. As applications, we use the results to study problems of the monotone variational inequality, the convex programming, the hierarchical minimization, and the quadratic minimization over fixed point sets.     

9-蒽醛衍生化-高效液相色谱法拆分α-氨基酸甲酯和几种脂肪胺对映体

采用高效液相色谱法,以9-蒽醛为衍生试剂,在5种多糖衍生物的手性固定相(CSPs)上对几种α-氨基酸甲酯对映体进行了手性分离。色谱条件如下: 流动相为含3%～10%(v/v)异丙醇的正己烷溶液,流速为1.0 mL/min,检测波长为254 nm。结果表明,α-氨基酸甲酯-9-蒽醛亚胺衍生物在Chiralcel OD柱或Chiralcel OD-H柱上的手性分离结果优于其他CSPs,而且在Chiralcel OD柱或Chiralcel OD-H柱上全部得到了基线拆分(α=1.24～5.47, Rs=2.56～13.90), L-对映体在这两种色谱柱上的保留强于D-对映体。同时还考察了几种脂肪胺在5种多糖衍生物手性固定相上的对映体拆分效果,结果表明脂肪胺的9-蒽醛亚胺衍生物在Chiralcel OD柱或Chiralcel OD-H柱上的分离效果良好。该法可用于其他α-氨基酸酯和胺类化合物对映体的分析。     

Comultiplications on a wedge of two spheres

In this paper we study the set of comultiplications on a wedge of two spheres. We are primarily interested in the size of this set and properties of the comultiplications such as associativity and commutativity. Our methods involve Whitehead products in wedges of spheres and the Hopf-Hilton invariants. We apply our results to specific examples and determine the number of comultiplications, associative comultiplications and commutative comultiplications in these cases.     

2000 Vol.11 No.8 P.Preparation of AChE Inhibitors From Jujubogenin

A dammarane derivative dihydrojujubogenin-2-en-1-one, which possesses a skeleton and pharmacophore partially similar to those of Territrem B, a potent AChE inhibitor, was synthesized via three different paths. The anti-AChE activity of this compound and related analogue was measured.     

Deconfinement Phase Transition Including Perturbative QCD Corrections in （Proto）neutron Star Matter

Deconlinement phase transition and neutrino trapping in （proto）neutron star matter are investigated in a chiral hadronic model （also referred to as the FST model） for the hadronic phase （HP） and in the color-flavor-locked （CFL） quark model for the deconlined quark phase. We include a perturbative QCD correction parameter αs in the CFL quark matter equation of states. It is shown that the CFL quark core with K^0 condensation forms in neutron star matter with the large value of αs. If the small value of αs is taken, hyperons suppress the CFL quark phase and the liP is dominant in the high-density region of （proto）neutron star matter. Neutrino trapping makes the fraction of the CFL quark matter decrease compared with those without neutrino trapping. Moreover, increasing the QCD correction parameter as or decreasing the bag constant B and the strange quark mass ms can make the fraction of the CFL quark matter increase, simultaneously, the fraction of neutrino in protoneutron star matter increases, too. The maximum masses and the corresponding radii of （proto）neutron stars are not sensitive to the QCD correction parameter αs.     

壁流动中的转捩

对壁流动的不同实验结果做了对比, 这些实验结果来自于流动显示、热膜测量以及PIV测量, 对比的同时, 还总结了与此相应的理论方面的进展. 这些进展是在对所选大约120篇文献中内容归纳提炼的基础上给出的. 尽管实验中所使用的初始扰动条件不同, 但所发现的流动结构几乎是完全一样的. 在对壁流动转捩的认识方面, 认为下列所观察到的流动结构是最基本最重要的: 在边界层和管流中被称为类孤子相干结构(SCS)的三维非线性涡包、$\Lambda$涡、二次涡环和涡环链. 近期的实验中发现了这些结构形成和转捩的动力学过程, 具体包括以下内容: (1) $\Lambda$ 涡和二次涡环间持续的相互作用过程. 该过程决定了涡环链的产生方式, 总是从壁面区域周期性地形成, 并进入到边界层的外部区域; (2)高频涡的生成, 这是理解转捩和湍流边界层(以及其他流动)发展的关键问题之一. 尽管已经提出了一些解释, 但是二次涡环的实验发现将对此提供一个特别清晰的解释. (3)在所有湍流猝发中SCS所起的关键作用. 这一点被看做是低雷诺数湍流边界层中湍流产生的关键机制. 与猝发直接相关联的是低速条带. 基于SCS的动力学过程, 针对壁流动情况, 可以比以前更清晰地解释低速条带的形成机制及其与流动结构的关系. 在实验中所观察到的SCS和二次涡环, 不仅能使我们重温壁面流动转捩中的经典故事, 同时还开辟一条新的途径, 可以基于此建立壁面流动转捩可能具有的普适性的动力学过程.     

多糖衍生物手性固定相上采用酸性或碱性添加剂的流动相拆分β受体阻滞剂对映体

考察了多糖类手性固定相在含有酸性或碱性添加剂的流动相下高效液相色谱法拆分β受体阻滞剂对映体的效果。色谱条件: 流动相为10%～30%(体积分数,下同)乙醇-正己烷(含0.1%三氟乙酸)和10%～30%乙醇-正己烷(含0.1%三乙胺),流速1.0 mL/min,紫外检测波长254 nm。结果表明,在直链淀粉-三(3,5-二甲基苯基氨基甲酸酯)衍生物手性固定相(Chiralpak AD和Chiralpak IA)上拆分β受体阻滞剂对映体,酸性添加剂的流动相体系与碱性添加剂的流动相体系相比,碱性添加剂的流动相的拆分效果比酸性添加剂的流动相要好。而在纤维素-三(3,5-二甲基苯基氨基甲酸酯)衍生物的手性固定相(Chiralcel OD和Chiralpak IB)上分离β受体阻滞剂,比较酸性添加剂的流动相与碱性添加剂的流动相的拆分效果,发现酸性添加剂的流动相条件下对映体的保留减弱,但对映体的选择性增大,特别是在Chiralcel OD上,酸性添加剂的流动相体系对对映体的选择性非常理想,而且随着流动相中酸性添加剂含量的增加,β受体阻滞剂对映体的分离效果更佳。