Application of Cyclopentadiene and its Derivatives in Natural Product Synthesis

Approaches toward the synthesis of iridoids and 9-isocyanopupukeanane starting from cy-clopentadiene are discussed.     

EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS FOR SEMILINEAR ELLIPTIC SYSTEMS INVOLVING m CRITICAL HARDY-SOBOLEV EXPONENTS AND m SIGN-CHANGING WEIGHT FUNCTION

In this article, we consider a class of degenerate quasilinear elliptic problems with weights and nonlinearity involving the critical Hardy-Sobolev exponent and one sign- changing function. The existence and multiplicity results of positive solutions are obtained by variational methods.     

关于一类复合幂级数展开式的收敛性定理

本文研究了一类复合型幂级数展开式,证明了一个收敛性定理并举例说明其应用.在注记中指出了可进一步研究的问题.     

环氧树脂在固化过程中的红外吸收光谱

本文研究了当利用酸酐类为固化剂时,环氧树脂的固化条件与分子结构的关系,从而导出适当的固化条件。同时在固化过程中,对于分子交联的可能方式也作了讨论。     

空间羣算符的矩阵元

本文首先通过对波失星直接乘积的分析指出,如果 ^*K″∈^*K?^*K′,则波矢峯G_k″可以有下面四种情况:A)G_k同G_k′,是G_k″的子峯,B)G_k=G_k′=G_k″,C)G_k″=G_s, D)G_s是G_k″的子峯。根据上述四种情况,分别考虑积分A=μ″^i″(k″)|f_μⁱ(k)|f_μ′^i′(k′)>的简约。并且证明,对所有四种情况,积分A的值均可由短阵U的矩阵元统一地表达出来。矩阵U是使可约表示Г′简约的转换矩阵,对四种情况,可约表示Г′分别是:A)(Г_kⁱ?Г_k′^i′)^(?),B)Гⁱ?Г_k′^i′,C)Г_k^i(s)?Г_k′^i′(s),D)(Г_k^i(s)?Г_k′^i′(s))^(?)。最后,利用准投影算符的方法,对矩阵U进行了计算,导出空间峯Wigner-Eckart定理的表式。     

K—K共振态

最近实验指出,在π^-+p→K+K+n以及K^-+p→K+K+A反应中,存在K-K的共振态,共振能量为1.02BeV。不少人对K-K共振态进行了分析,但并没得出一致的结论。本文从场论观点出发,在链式近似下,研究了有关K-K共振的一些问题,计算结果表明,在1.02BeV附近可能存在两个共振态,而1.02BeV的K-K共振对应T=0,J^PG++态较为合理。     

DRESOR法求解超短脉冲在一维非均匀介质中的瞬态辐射传输

本文中DRESOR法(Distributions of Ratios of Energy Scattered Or Reflected)应用于求解一维非均匀介质内的瞬态辐射传输问题.结果表明,反射热流的双峰分布现象能够体现介质内部的非均匀分布特征,并且能够通过分析其特点推断非均匀介质的中间界面位置.通过DRSESOR法计算得到的高方向分辨率的辐射强度体现了其在决定非均匀介质表面位置的独特优势.最后,对双峰分布现象的存在条件进行了探讨.     

Catalytic activity correlation of Ni(Ⅱ),Co(Ⅱ) and Pd(Ⅱ) complexes to metal atom net charge

The metal atom net charge correlation(MANCC) method was developed in prediction of catalyst activity of asymmetric late-transition metal complexes,2-quinoxalinyl-6-iminopyridine Ni(Ⅱ),2-imino-1,10-phenanthroline Co(Ⅱ) and 2-methoxycarbonyl-6-iminopyridine Pd(Ⅱ) complexes,from the net charge of the metal atom for ethylene polymerization.Dreiding force field was modified according to the X-ray diffraction data.We found that the asymmetric structure of the complexes resulted in a charge differ-ence between two...     

关于解析函数的一个易想象的不等式及其应用

本文关于解析函数给出了一个可作几何理解的不等式,由此易得出一个有关解析函数零点的命题,而代数学基本定理成为它的直接推论．     

一对超标准互反关系及应用

The method of non-standard analysis(NSA) is used to construct a pair of hyperstandard reciprocal formulas involving certain non-standard difference operators with realnumber orders.Our main result consists of some extensions of earlier results appearing previously [5].An essential meaning of the paper is to indicate the fact that only the basic idea of NSA is applicable to the construction of a unified pattern that may have certain applications to both the analysis and the number theory.