Realization of fixed point sets

Letf:XX be a selfmap of a compact connected polyhedron, andA a nonempty closed subset ofX. In this paper, we shall deal with the question whether or not there is a mapg:XX homotopic tof such that the fixed point set Fixg ofg equalsA. We introduce a necessary condition for the existence of such a mapg. It is shown that this condition is easy to check, and hence some sufficient conditions are obtained.Partially supported by the Natural Science Foundation of Liaoning University.     

A UPLC–MS/MS approach for simultaneous determination of eight flavonoids in rat plasma,and its application to pharmacokinetic studies of Fu‐Zhu‐Jiang‐Tang tablet in rats

The purpose of this study is to establish and validate a UPLC–MS/MS approach to determine eight flavonoids in biological samples and apply the method to pharmacokinetic study of Fu‐Zhu‐Jiang‐Tang tablet. A Waters BEH C₁₈ UPLC column was employed with methanol/0.1% formic acid–water as mobile phases. The mass analysis was carried out in a triple quadrupole mass spectrometer using multiple reaction monitoring with negative scan mode. A one‐step protein precipitation by methanol was used to extract the analytes from blood. Eight major flavonoids were selected as markers. Our results showed that calibration curves for 3′‐hydroxypuerarin, mirificin, puerarin, 3′‐methoxypuerarin, daidzin, rutin, astragalin and daidzein displayed good linear regression (r ² > 0.9986). The intra‐day and inter‐day precisions (RSD) of the eight flavonoids at high, medium and low levels were <8.03% and the bias of the accuracies ranged from −5.20 to 6.75%.The extraction recoveries of the eight flavonoids were from 91.4 to 100.5% and the matrix effects ranged from 89.8 to 103.8%. The validated approach was successfully applied to a pharmacokinetic study in Sprague–Dawley rats after oral administration of FZJT tablet. Double peaks were emerged in curves of mean plasma concentration for 3′‐methoxypuerarin, which was reported for the first time.     

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蒋锡夔研究员及其在物理有机化学和有机氟化学领域的成就

蒋锡夔研究员是我国物理有机化学和有机氟化学的主要奠基人。本文首先介绍蒋锡夔研究员的科学经历,然后介绍他在不同时期取得的代表性科学成就,主要包括有关四氟乙烯的亲电加成反应,氟橡胶研究,亲卤反应,自由基化学及有机分子的簇集与自卷等方面的研究。     

On the Least Number of Fixed Points of an Equivariant Map

The problem on the least number of fixed points of an equivariant map of a compact polyhedron on which a finite group acts is considered. For such a map, the least number of fixed points and the least number of fixed orbits are estimated in terms of invariants of the type of Nielsen numbers. The estimates obtained are sharp. The results are similar to those of P. Wong, but their assumptions are essentially weaker. Some notations are refined. The proofs are constructive.     

东晋道士发明火药新说

唐代道士最先发明火药的说法似乎已为学界所普遍接受.但是通过对东晋道教炼丹经诀<太上八景四蕊紫浆五珠降生神丹方经>的研究,发现还在东晋时,道士炼丹配方中所用的雄黄、雌黄、硝石和薰陆香等粉末状药物,事实上就已经包含了传统火药中"一硝、二黄、三木炭"的基本组成成份,而且为了防止爆炸的发生,道士们还有意采取了多种防范措施.这表明最初的火药雏形似可上溯至东晋甚至更早,从而有可能改写唐代火药发明说这一影响巨大的结论,并将火药的发明时间至少提前约550年.