查询词典 equicontinuity

It introduces normal families, including equicontinuity, Arzela's theorem, Montel's and Marty's theorems, Zalcman's lemma; univalent functions, including Koebe's and de Branges' theorems; quasiconformal mappings, including conformal length, extremal length, geometric, analytic and metric definitions, quasiconformal extension, distortion theorem, quasicircle; iteration of rational functions, including fixed points, the Fatou and Julia sets, periodic points, Siegel disks, the Hausdorff measure and dimension, etc.

具体为：正规族，包括等度连续性、Arzela定理、Montel和Marty正规定则、Zalcman引理；单叶函数，包括Koebe定理和de Branges定理；拟共形映照，包括共形模、极值长度、几何、分析和距离定义、拟共形延拓、偏差定理，拟圆周等；有理函数的迭代，包括不动点、Fatou集和Julia集、周期点、Siegel盘、Hausdorff测度和维数，等等。在教学内容上充分体现综合性、前沿性。

Continuity,uniform continuity,uniform convergence and equicontinuity are very important qualities of functions or sequence of function s.

连续、一致连续、一致收敛和等度连续是函数或函数列非常重要的性质。

At the beginning of this paper we are devoted to studying the equicontinuity on the set of periodic points. Later we are researching on the property of the invariant set and measures dimension of the self-similiar IFS.

本文前面一部分主要着眼于连续映射在其周期点集上的等度连续性的研究，后面一部分主要涉及到相似迭代函数系统不变集性质和测度的维数的研究。

Here we main concern about the equicontinuity of a Graph( i . e., one ? dimensional connected compact branched manifold).

本文主要研究图（即一维紧致连通的分支流形）上的连续自映射的等度连续性。

In this paper we mainly discuss the late extending styles of basic principles such as equicontinuity principle ,uniform boundedness principle ,Banach-Steinhaus theorem and ect., and describe the new characters of these new results in Banach space.

本文主要讨论等度连续原理、一致有界原理及Banach-Steinhaus定理等基本原理的最新推广形式，刻划这些新结果在Banach空间上的新特征。

In chapter two, by studying the properties of self-maps on trees, we obtain five necessary and sufficient conditions for the product self-maps on trees which have the property of equicontinuity on their sets of periodic points, i.e.

第二章通过对树上连续自映射性质的研究，给出了树上乘积自映射在其周期点集上等度连续的五个充要条件，即定理2.3.1，定理2.3.2，定理2.3.3和定理2.3.4。

Consisting of 3 Chapters, the Paper mainly includes the following contents: Chapter 1 of Introduct on presents the significance of extending uniform boundedness principle and elso reviews one hundred years development of uniform boundedness principle iind the work done by people in this aspect; Chapter 2 mainly introduce some preparatory knowledge including definitions of dissecting operators, absorbing operators, equicontinuity and some relative examples; In Chapter 3, We discuss the new researching results of equicontinuity principle,uniform boundedness principle and Banach-Steinhaus type theorem .

本文共分三章，主要内容如下：在第一章绪论中说明了推广一致有界原理的意义；回顾了已知一致有界原理一百多年来的发展及人们在此方面所做的工作。在第二章中主要介绍了一些预备知识，其中包括：解剖算子、吸收算子、等度连续的定义并举了一些相关的例子。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。