氯代苯甲酸异构体的毛细管气相色谱分析

氯代苯甲酸是一种重要的精细化工产品,用途广泛,如用于合成临床治疗精神抑郁症的吗氯贝胺[1]及有机颜料中间体N (3 氨基 4 氯代苯甲酰基) 2 甲基 3 氯代苯胺[2]。但是氯代苯甲酸各异构体的性质差异极大,用途也不尽相同[3,4]。工业产品或多或少都会含有位置异构体,因此测定[5 7]氯代苯甲酸中各异构体含量就显得相当重要。已有报道的分析方法,或对仪器性能要求高,或操作繁琐,或分离效果不甚理想,因而在实际应用中受到一定的限制。考虑到氯代苯甲酸具有强极性、低挥发性等特点,本文采用甲酯化衍生物法对氯代苯甲酸异构体进行了气相色谱分…     

Cartan型李超代数H的导子代数

In this paper,the derivation algebra of Lie superalgebra H of Cartan-type over F are determined by the calculating method in the situations of CharF = p≥ 3 or m ≥ 2 or n≥1.The main result is following:DerFH=adH(H" Fh)⊕<{adDi)pt|i=1,2,…,m,t=1,2,…,ti-1}>.     

A robust kernel-based solver for variable-order time fractional PDEs under 2D/3D irregular domains

This study presents a robust kernel-based collocation method (KBCM) for solving multi-term variable-order time fractional partial differential equations (VOTFPDEs). In the proposed method, Radial basis functions (RBFs) and Muntz polynomials basis (MPB) are implemented to discretize the spatial and temporal derivative terms in the VOTFPDEs, respectively. Due to the properties of the RBFs, the spatial discretization in the proposed method is mathematically simple and truly meshless, which avoids troublesome mesh generation for high-dimensional problems involving irregular geometries. Due to the properties of the MPB, only few temporal discretization is required to achieve the satisfactory accuracy. Numerical efficiency of the proposed method is investigated under several typical examples.     

On an elementary operator with M‐hyponormal operator entries

A Hilbert space operator is M‐hyponormal if there exists a positive real number M such that for all . Let be M‐hyponormal and let denote either the generalized derivation or the elementary operator . We prove that if are M‐hyponormal, then satisfies the generalized Weyl's theorem and satisfies the generalized a‐Weyl's theorem for every f that is analytic on a neighborhood of .     

Derivation algebra and automorphism group of generalized topological N = 2 superconformal algebra

We determine the derivation algebra and the automorphism group of the generalized topological N = 2 superconformal algebra.     

Towers of derivation for Lie rings and some results on complete Lie rings

The well-known tower theorem of groups (resp. Lie algebras) shows that the tower of automorphism groups (resp. derivation algebras) of a finite group (resp. a finite dimensional Lie algebra) with trivial center terminates after finitely many steps. We generalize these results for Lie rings, and present some necessary and sufficient conditions for Lie rings to be complete.     

TOWERS OF DERIVATION FOR LIE RINGS AND SOME RESULTS ON COMPLETE LIE RINGS

The well-known tower theorem of groups （resp. Lie algebras） shows that the tower of automorphism groups （resp. derivation algebras） of a finite group （resp. a finite dimensional Lie algebra） with trivial center terminates after finitely many steps. We generalize these results for Lie rings, and present some necessary and sufficient conditions for Lie rings to be complete.     

一类模李代数的导子代数(英文)

本文通过构造一类模线状李代数,求出了它的导子代数,并且证明这个导子代数是可解但不完备的模李代数.这将有利于研究一般模线状李代数的结构.