复算

Ii Base on the compactness of C〓, we study the compactness of product operators of a composition operator with another one's adjoint on weighted Bergman spaces.

第二，在考虑单个复合算子C〓的紧性的基础上，进一步讨论了乘积算子C〓C〓和C〓C〓在加权Bergman空间A〓上的紧性问题。

If F is a space of functions defined on a domain Ω and ψ is a function taking Ωinto itself, then the composition operator C〓 induced by ψ is defined by C〓: f〓fοψ,〓f∈F. It is obvious that C〓 is a linear operator.

设F是定义在区域Ω上的一个函数空间，φ：Ω→Ω是Ω到自身的一个映射，则可通过函数的复合定义一个线性算子C〓：f→foφ，〓f∈F，称为由φ诱导的复合算子。

In this paper we review some recent progress on the nucleation of zeros and the structure of the nodal sets of the complex-valued solutions of Ginzburg-Landau system for superconductivity and of more general partial differential equations with magnetic Schrodinger operator.

本文考察了近年来对超导的Ginzburg-Landau方程复值解的零点的产生与零点集的结构的研究进展，也考察了含有磁Schrodinger算子的更一般的偏微分方程的相关问题。

Keywords: complex partial differential operator;spectrum;wavelet

中文关键词：复偏微分算子；谱；小波

By introducing special stress functions, we find solutions of eighth order homogeneous linear equation set with complex functions method and approach of undetermined coefficients, deduce calculation formulas of bi-material elastic constants for two dissimilar orthotropic composite materials. The expressions of stress intensity factors near finite interface crack tip subjected to symmetric loadings are derived. A engineering application numerical example is given.

通过引入特殊的应力函数，采用复变函数方法和待定系数法求解了八阶齐次线性方程组，推出了两种相异正交异性复合材料板的双材料弹性常数的计算公式，得到了受对称载荷作用的界面裂纹尖端应力强度因子的计算公式，给出了一个工程应用算例。

First of all,by use of the modern differential geometry and the double complex functionmethod,the definitions of dual and self-dual operators as well as ordinarycomplex Ashtekar connections are extended into parametric forms.

首先利用现代微分几何和二重复函数方法将对偶，自对偶算符的定义以及普通复阿西特卡联络推广为参数化形式。

Comparing some coefficients by complex images method with that by analytical formula or numerical quadrature, the computing method of the model is examined to be efficient and accurate.

通过计算考察基于复像方法的有关系数证明了该模型的准确性，并给出了不同入射方向的界面上刚性球体和弹性球壳的散射声场算例，对目标散射幅度的分布以及随角度的变化规律做了分析。

The so-called AT-algebras are inductive limits of finite direct sums of matrices over the extension algeras of circle algebra by K, where K is the C~*— algebra of all compact operators on a separable infinite dimensional Hilbert space.

若V_*与V_*同构，且保持单位元等价类；T与T仿射同胚，且同构映射与同胚映射相容，则存在E与E′的同构导出上述同构和同胚，所谓AT-代数即为圆代数通过κ的本质酉扩张的矩阵代数的有限直和的归纳极限，这里κ为可分的无限维复Hilbert空间上的紧算子全体，不变量中的V*为三变元Abel半群，T为迹态空间，[1]为单位元所在的Murray-von Neumann等价类，r_E为连接映射。

On the convergence of Newton's method in Banach space〓 Let F be an operator mapping from a real or complex Banach space X to another one Y, the Newton iteration 〓(2) is used to find the approximative solution of the equation (1), where the derivative is meant in the Frechet sense.

一、Banach空间中Newton法的收敛性〓设F是由实的或复的Banach空间X到同型空间Y的算子，求解方程(1)的Newton迭代为〓，0，1…，(2)其中的导数指的是在Frechet意义下的。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。