由(1S)-cis-菊酸合成(1R)-cis-二溴菊酸

拟除虫菊脂是在研究天然除虫菊脂化学的基础上发展起来的一类高效低毒,广谱杀虫剂。其中,溴氰菊脂是活性较高,光稳定性较好的一种菊脂类杀虫剂, 它是具有(IRcis.αs) 构型的单一光学异构体。 生产溴氰菊脂的关键中间体是IR-cis-)二溴菊脂。本文报道利用化学剪切法将(is)-cis-菊脂转化为(IR-cis-)二溴菊脂的新方法。     

钙铝层状双氢氧化物的改性及表征

采用离子交换法,将铝酸三钙(C3A)投加至十二烷基硫酸钠(sodium dodecyl sulfate,SDS)溶液中,通过调节pH值和反应温度,制备出插入SDS阴离子的钙铝层状双氢氧化物(CaAl-SDS-layered double hydroxide,CaAl-SDS-LDH)。通过X射线衍射、红外光谱、透投射电镜及热重-差热分析等手段对样品分析表征。结果表明,在SDS浓度为0.2mol·L-1,pH值11,合成温度25℃为最佳合成工艺条件,所得CaAl-SDS-LDH层间距为2.79nm,SDS阴离子在层间以双分子层的形式垂直于层板形成交错有序的排布;CaAl-SDS-LDH中有机物质量分数为40%。经SDS改性后的CaAl-SDS-LDH具有层状结构,晶粒尺寸较小,粒径分布集中,晶粒有序度较高。     

On conjugate product of complex polynomials

Some concepts, such as divisibility, coprimeness, in the framework of ordinary polynomial product are extended to the framework of conjugate product. Euclidean algorithm for obtaining greatest common divisors in the framework of conjugate product is also established. Some criteria for coprimeness are established.     

反式硫代环磷酰基硫脲的合成及性质研究

采用反式２－异硫氰式－４－基基－５，５－二甲基－２－硫代－１，３，２－二氧磷杂环己烷与不同胺的加成反应合成了１３个的反式环状硫代磷酰基硫脲衍生物，生物活性初步测试表明，部分化合物具有杀菌及植物生长调节活性，本文首次报道了２－氯－苯基－５，５－二甲基－２－硫代－１，３，２－二氧磷杂环己烷与硫氰酸钾反应的立体化学。     

On equivalence and explicit solutions of a class of matrix equations

It is shown in this paper that three types of matrix equations AX−XF=BY,AX−EXF=BY and which have wide applications in control systems theory, are equivalent to the matrix equation with their coefficient matrices satisfying some relations. Based on right coprime factorization to , explicit solutions to the equation are proposed and thus explicit solutions to the former three types of matrix equations can be immediately established. With the special structure of the proposed solutions, necessary conditions to the nonsingularity of matrix X are also obtained. The proposed solutions give an ultimate and unified formula for the explicit solutions to these four types of linear matrix equations.     

1,3-二芳氧基-2-丙胺的定向合成及其生物活性研究

用１,３－二芳氧基－２－丙醇酯化、胺化的方法合成了１８个１,３－二芳氧基－２－丙胺化合物,并进行了生物活性测定,结果表明部分化合物有一定的除草、杀菌和植生物调节活性。     

The complete solution to the Sylvester-polynomial-conjugate matrix equations

In this paper we propose two new operators for complex polynomial matrices. One is the conjugate product and the other is the Sylvester-conjugate sum. Then some important properties for these operators are proved. Based on these derived results, we propose a unified approach to solving a general class of Sylvester-polynomial-conjugate matrix equations, which include the Yakubovich-conjugate matrix equation as a special case. The complete solution of the Sylvester-polynomial-conjugate matrix equation is obtained in terms of the Sylvester-conjugate sum, and such a proposed solution can provide all the degrees of freedom with an arbitrarily chosen parameter matrix.     

Weighted least squares solutions to general coupled Sylvester matrix equations

This paper is concerned with weighted least squares solutions to general coupled Sylvester matrix equations. Gradient based iterative algorithms are proposed to solve this problem. This type of iterative algorithm includes a wide class of iterative algorithms, and two special cases of them are studied in detail in this paper. Necessary and sufficient conditions guaranteeing the convergence of the proposed algorithms are presented. Sufficient conditions that are easy to compute are also given. The optimal step sizes such that the convergence rates of the algorithms, which are properly defined in this paper, are maximized and established. Several special cases of the weighted least squares problem, such as a least squares solution to the coupled Sylvester matrix equations problem, solutions to the general coupled Sylvester matrix equations problem, and a weighted least squares solution to the linear matrix equation problem are simultaneously solved. Several numerical examples are given to illustrate the effectiveness of the proposed algorithms.     

On solutions of matrix equations and

With the help of the Kronecker map, a complete, general and explicit solution to the Yakubovich matrix equation V−AVF=BW, with F in an arbitrary form, is proposed. The solution is neatly expressed by the controllability matrix of the matrix pair (A,B), a symmetric operator matrix and an observability matrix. Some equivalent forms of this solution are also presented. Based on these results, explicit solutions to the so-called Kalman–Yakubovich equation and Stein equation are also established. In addition, based on the proposed solution of the Yakubovich matrix equation, a complete, general and explicit solution to the so-called Yakubovich-conjugate matrix is also established by means of real representation. Several equivalent forms are also provided. One of these solutions is neatly expressed by two controllability matrices, two observability matrices and a symmetric operator matrix.