The Three-component One-pot Synthesis of 4,6-Diarylpyrimidin-2(1h)-ones and 9-Phenyl-8-oxa-10,12-diaza-tricyclo[7.3.1.0~(2,7)]trideca-2(7),3,5-trien-11-one

1 Results Pyrimidinones (PMs) are a class of important heterocycles which have been well documented throughout the literature due to their biological importance. They exhibit a wide range of pharmaceutical and therapeutic properties[1].A rapid and efficient one-pot method for the synthesis of 4,6-diarylpyrimidin-2(1H)- ones and related heterocycles is described.The condensation of acetophenone derivatives,aldehydes and urea in the presence of sulfamic acid was employed to synthesize a variety of pyrimid...     

一类4阶Feigenbaum映射的拟极限集

讨论一类4阶Feigenbaum映射的拟极限集及其Hausdorff维数, 并证明对任意t∈(0,log_3^1/2+12), 总存在一类具有简单轨 的4阶非单谷Feigenbaum映射， 它有一个以t为Hausdorff维数的拟极限集.     

单摆测重力加速度的研究

本文分析了单摆测重力加速度的误差主要来源，在测量装置，测量工具和测量方法上进行改进，从而有效地提高了测量精度。     

ON THE OPTIIMAL REACTIONS ASSEMBLAGE OF COMPLEX REACTION SYSTEMS

In this paper, the author analyzes distinguishing features of complex reaction systems and single reversible reaction, and optimizes complex reaction systems starting from set theory.The method of constructing the optimal reactions assemblage and calculating the potential maximum equilibrium yield (PMEY) of objective products is proposed here. This paper points out clearly that the euqilibrium yield of objective products calculated by means of conventional method is the global equilibrium yield (GEY).It is not the thermodynamic constraint, and could be exceeded by observed yield of objective products; only PMEY is the thermodynamic constraint. It gives information on potential and possible optimal yield and thereby improving production. This paper also points out the way in which the real complex reaction system approached the optimal reactions assemblage. The new concept of PMEY and optimal reaction assemblage proposed by this Paper is universally applicable for the important complex reaction systems, such as the pyrolysis of alkane to produce ethylene, steam reforming of methane to produce syngas, production of formaldehyde from methanol, epoxidation of ethylene to produce ethylene oxide, hydrogenation of benzene to produce cyclohexane.     

恒星内部核反应系统中g-T效应产生的振荡

研究了恒星内部核反应系统中与粒子数密度涨落有关的振荡现象，分析了这类振荡的产生条件和特征频率。结果表明，引力及温度梯度(g-T)效应可以在氦核反应扩散模型中产生超临界的密度振荡。     

SWITCHING CONTROL： FROM SIMPLE RULES TO COMPLEX CHAOTIC SYSTEMS

This paper reviews and introduces some simple switching piecewise-linear controllers, which can generate complex chaotic behaviors from simple switching systems.The mechanism of simple switching rules creating complex chaotic behaviors is further investigated.     

一类特殊的有限群

研究了元的阶除1和一个数m外均为质数的有限群,得出了它们的分类定理.     

一维连通复合形的实现

定理1:一维连通无有闭道复形K,在E~2内实现. 定理2:存在一个一维连通复形,有九个一维单形,不能在E~2内实现. 定理3:一维连通复形,有八个一维单形,可在E~2内实现. 定理2,定理3是最好的定理.问题是:n维连通复形(n≥2),相应的定理2定理3是如何表示?     

种内竞争对一年生植物高生长与生物量关系的影响

通过田间试验研究了两种一年生植物燕麦和箭She豌豆在高密度和低密度条件下表现出来的株高（H）与生物量（M）之间的异速生长关系，并用线性回归和非线性回归的方法对所得数据进行了分析，结果表明，植物在低密度条件下，个体间没有明显的竞争作用存在，株高与生物量之间表现为“简单的异速生长”关系，其异速生长表达式为y=a bx的形式；植物在高密度条件下，个体间存在着激烈的种内竞争，株高与生物量之间表现为“非线性的异速生长”关系，其异速生长表达式为y=ax^2 bx c的形式。