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Let X be a Banach space and ψ an analytic self-map of D. We characterize the weak compactness of the composition operator C〓 on the vectorvalued Nevanlinna classes N and N〓.

给出了向量值解析函数空间N与N〓上的复合算子C〓的弱紧性的刻画，这里X是一个Banach空间。

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。

Iii By using the well-known properties of the dela vallee-poussin summability kernels and the pass principle of weakly compact operator, we study the weak compactness of C〓 on vector-valued analytic function spaces H〓, B〓, N and N〓, establish some connections between the weak compactness of composition operators and the structure properties of Banach spaces. These generalize and unify the corresponding results in the scalar-valued setting and enrich the content of the study of composition operator in another way.

第三，利用著名的de la Vallee-poussin可和核及有关算子的弱紧性的传递原理给出了向量值解析函数空间H〓、B〓、N及N〓上的复合算子的弱紧性的刻画，建立了复合算子的弱紧性与Banach空间的结构性质之间的联系，统一和推广了对应的数量值解析函数空间上的复合算子的弱紧性，这从另一种途径极大地丰富了复合算子的研究内容。

Based on the researches mentioned above, choosing 18 typical indices, which on behalf of the natural-human pressure (6), ecological states (8), and responses of the human and society (4), using analytic hierarchy process, the author established an estimate system of regional ecological security, worked out a half quantitative compound index number of regional ecological security in Lazi County.

在以上研究的基础上，选取代表自然和人文压力(6个)、生态系统状态(8)和人文社会响应(4个)的共18个典型指标，利用层次分析法建立区域生态安全状况评价体系，半定量计算出拉孜县区域生态安全综合指数。

This paper proposed the Analytic Hierarchy Process to analyze the factors which affect computer-assisted English teaching and learning.

本文针对影响计算机辅助英语教学的诸多因素，利用层次分析法来分析它们的特点及其作用，从而得出了影响计算机辅助英语教学效果的最主要因素是学生的学习方式和教师的教学方法的结论，并且建立了回归模型。

One is the positivism led by Comte and Mach and the analytic philosophy derived from Vienna school .

本文通过对反形而上学的历史考察，分析了其产生原因，揭示出这种思想之局限性。

Both Jackson and Chalmers, like Levine, rely on conceivability arguments to cast doubt on the hypothesis that there could be analytic definitions, in physical terms, of the expressions we use to describe our phenomenal experience.

和Levine类似，Jackson 和 Chalmers依赖于可设想论证，质疑了假说：我们用来描述现象体验的表达是能够在物理术语中分析定义的。

Its analytic solution is obtained by multiple conformal transformation s including elliptical functions,and the pressure and streamline distributions and the well flow rate are presented for the flow field.

将油藏工程中水平井网渗流作为复杂源汇边界矩形区域的流动，通过椭圆函数等多重保角变换求得其解析解，并得到渗流场的压力分布、流线分布及井产量。

Through the process of learning different kinds of theorems, solving various geometry problems involving using those theorems, as well as combining the usage of plane geometry methods with analytic geometry, especially with conic section, we gained our own unique understanding and strong interest of plane geometry.

通过对平面几何各种定理的了解、证明，结合高中数学联赛具体题目中各种定理、推论的应用，以及平面几何与解析结合在圆锥曲线问题中的实际结合，我们对平面几何有了自己独特的见解和浓厚的兴趣。

On the basis of systematic analysis and review of the current researches, an forest restoration evaluation indicator system on scale of forest type had been developed, in which seven indexes were selected including the species richness, stand volume, species diversity, conspicuousness, coverage, degree of closeness and height of forest communities. The index weight value were calculated by the analytic hierarchy process.

在系统分析和整合了现有研究成果的基础上，初步构建了包括物种丰富度、林分蓄积量、物种多样性、显著度、盖度、郁闭度及群落高度7个指标的林型尺度森林植被恢复评价指标体系，采用层次分析法计算出指标权重。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷