复合函数

In this paper, we treat the composition operators on several analytic function spaces. The study of analytic composition operators links analytic-function theory and operator theory.

本文主要从事解析函数空间上的复合算子的研究而未涉及可测函数空间上的复合算子。

The fluctuation structures were observed in theexcitation function of all the outgoing channels.Statistics method based on thefluctuation correlation was used to study and analyze the excitation systematically,which demonstrates a series of characters in the dissipative collision 〓 and〓 by which they are different from the compound nuclei in the cross sectionfluctuation,such as strong correlation among outgoing channels,long range energycorrelation and angular correlation.

各个出射道的激发函数中都观测到了涨落结构，运用涨落关联的统计理论方法对激发函数进行了系统地研究和分析，揭示出〓和〓耗散反应截面涨落区别于复合核截面涨落的一系列特征性质，如强烈的出射道关联、长程的能量关联和长程的角度关联。

Models for the electromagnetic interaction between the target and trunks or between the trunks and trunks are developed, and these models are used to derive the coherent fields scattered by the target and fractal forest. Then, the polarization angular correlation function is calculated by using azimuthal angular averaging, and used to detection target buried in forest.

本文用L系统对森林环境进行了理论建模；研究了有限长分层介质圆柱的树干散射模型；分析了倾斜粗糙地面上树干及分形树的电磁散射特性；讨论了环境对确定目标电磁散射特性的影响；研究了环境与隐蔽目标复合电磁散射，用角相关函数、极化角相关函数对隐蔽目标进行了检测。

Initial random imperfections of composite panels are assumed to be Gaussian random fields and simulated numerically from their mean and autocovariance functions. Lindstedt-Poincare's perturbation technique is employed to solve the resulting nonlinear equation in the vibration analysis of imperfect composite panels. Monte Carlo analyses are performed for detailed numerical calculations.

层板之随机性几何缺陷以高斯随机场来描述，并利用其平均值函数及自方差函数来做数值的模拟；以Lindstedt-Poincare微扰方法来处理缺陷复合层板之非线性运动方程式，并使用蒙地卡罗法来做详细的数值分析。

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。

It is necessary to point out that our results not only extend the classical results of composition operators C〓 on Hardy spaces, Bergman space, Dirichlet space and Nevanlinna class, but also expand composition operator C〓 to sequence {C〓} or C〓C〓 and C〓C〓, and expand basic spaces to the vector-valued analytic function spaces, etc.

应该指出的是，本文不仅涵盖了经典Hardy空间、Bergman空间、Dirichlet空间、Nevanlinna类上复合算子C〓的原有结果，而且进一步弄清了不同空间之间的复合算子的性质，同时扩展了单个复合算子C〓至复合算子序列{C〓}及乘积算子C〓C〓与C〓C〓的情况，基本空间扩展至向量值解析函数空间的情形等等。

In this paper, we present a nonmonotone line search model algorithm for the nonsmooth composite minimization problems minhf(x, where each f: Rn→Rn is a locally Lipschitzian function, and h: Rn→R is a continuously differentiable convex function.

1引言考虑下面的复合极小化问题minF=hf(x，(1 。1)二〔丫其中f：R"一R"是局部Lipschitz函数，h：Rn一R是下有界的连续可微的凸函数。对于问题(l 。1)，QIL、袁亚湘和孙文瑜等z1一

Using relativistic multi-configuration Dirac-Fock theory,we calculate the transition data of 3dj-nfj'(n=5,6,7) for the M-shell from an Ni-like Au ion to an As-like Au ion using the GRASP programme with the corepolarization,quantum electrodynamical effect and Breit correction.

根据扩展的相对论多组态Dirac-Fock理论计算得到的Au^47＋～Au^53＋离子的平均离子寿命、能级能量和能级简并度，计算了各离子的电离速率常数、复合速率常数和配分函数，并由此得到了离子间的电离-复合平衡常数。

We obtained two results of composition growth of transcendental entire function and transcendental meromorphic function.

得到了超越整函数与超越亚纯函数的复合增长性的两个结果。

According to a given function, namely, composite trapezoidal formula using composite Simpson formula Romberg quadrature formula and the variable step-size integration quadrature formula results, and compare the accuracy of points.

详细说明：根据给定的函数，分别用复合梯形公式、复合辛普森公式、龙贝格求积公式和变步长的求积公式计算积分结果，并且比较积分的精确度。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。