查询词典 theorem of implicit functions

On the other hand , illuminated by close relation between harmonic maps and sumanifold theory, we have also researched in-depth about some relative problems in submanifolds theory which include: the estimate of heat kernel and eigenvalue and it geometric application of submanifolds with or without boundary; many kinds of pinching problem of submanifolds which include the rigidity theorem, topological sphere theorem, differential sphere theorem and topological finite theorem.

另外，鉴于调和映照与子流形之间的密切关系，我们还要深入研究子流形几何中与之相关的一些问题，主要包括：带边与不带边子流形的热核与特征值估计及其几何应用；子流形的刚性定理、拓扑球定理、微分球面定理、拓扑有限性定理等各类Pinching问题。

The positive periodic solution of functional differential equation with infinite delay is deeply concentrated these years, some scholars study this subject by means of Lyapunov theorem, Schauder fixed point theorem, and cone extending and compression theorem (from thesis -[5]), and they obtain the existence theorem of positive periodic solution.

近年来，无穷时滞泛函微分方程的周期解问题受到广泛关注，一些学者应用Lyapunov泛函方法，Schauder不动点方法，以及非线性泛函分析中的锥拉伸锥压缩方法(见[1]-[5])，研究了无穷时滞泛函微分方程的周期解的存在性问题。

And guided by Schur theorem, many of the Schur theorem inference arises, formed a complete theoretical system Schur theorem. Schur theorem and put many of its reasoning applied to the unitary matrix and the similarity matrix eigenvalue of proof onto.

在Schur定理的指导下，许多关于Schur定理的推论便产生了，并且形成了一个完整的Schur定理理论体系，把Schur定理和它的许多推论推广到了酉矩阵的相似和矩阵的特征值的证明上来。

By using theories of almost type functions,the theorem about relation of asymptotically periodic functions and asymptotically periodic sequences ,as well as the equipollence of vector-valued asymptotically periodic functions and almost periodic functions on R+ are obtained.

利用概周期型函数的理论，得出了渐近周期函数和渐近周期序列二者的关系定理，以及R+上的向量值渐近周期函数与概周期函数的等价关系。研究了渐近强周期函数空间、渐近周期序列空间的可分性质

Secondly,we firstly study the properties of functions with values in a uni-versal Clifford algebra 〓,and we obtain the following very important basictheorems in universal Clifford analysis:Cauchy's integral formula,Cauchy's inte-gral theorem,the mean value theorem,the three versions of the maximum mod-ulus theorem,the Taylor's expansion,the Laurent's expansion and the residuetheorem etc..All of these results generalized the classical results.

第二，本文所讨论的各种函数性质以及所得的结果都在泛Clifford代数〓上所做的工作，它一方面包含了从前在泛Clifford代数〓上所做的工作，所得到的结果更广泛、更漂亮、更自然，另一方面，本文也是迄今为止第一次建立起来了在泛Clifford分析中与经典函数论相对照处基础地位的LR正则函数在特异边界上的Cauchy积分公式、Cauchy积分定理、平均值定理、极大模原理的三种表达形式、Taylor展式、Laurent展式留数定理等深刻的结果。

In fourth chapter of this paper,we mainly investigate the properties of a subclass S_p~* of starlike functions of orderα,including its coefficient estimate,distortion theorem,closure theorem and extreme points theorem.

在第四章中，我们主要研究了α次星形函数一类子族S_p~*的性质，包括系数估计，偏差定理，闭包定理，极值点定理。

The process of our study links some of the most basic questions about C〓 with beautiful classical results from analyticfunction theory. For instance, it is essential Littlewood subordination theorem that assures that composition operators act boundedly on many analytic function spaces. And there are close connections between the compactness of C〓 and the existence of angular derivatives of ψ at points of 〓D. It involves the classical Julia-Careatheodory theorem, Denjoy-Wolff theorem and Nevanlinna counting functions and so on. It makes many old theorems in analytic-function theory getting some new meanings, and bestows upon functional analysis an interesting class of linear operators. This thesis consists of six chapters as follows: Chapter 1 is a preparatory in nature.

从而建立了C〓的算子性质与解析函数论中许多漂亮的经典结果之间的联系，如许多解析函数空间上复合算子的有界性本质上往往是著名的Littlewood从属原理，复合算子的紧性与其诱导映射在边界〓D上的角导数之间有着紧密的联系等等，这样自然而然地涉及到经典函数论中的Julia-Caratheodory定理，Denjoy-Wolff定理及Nevanlinna计数函数等等一些结果，并以此赋予函数论中许多古老问题以新意，同时也为泛函分析提供了一类十分具体的线性算子。

Theorem, Implicit Function Theorem and its Applications.

分函数，可积分函数，反函数，隐函数定理及其应用，向量微积分基本定理

By using implicit function theorem, Taylor's formula and mean theorem, the form of the non-affine nonlinear systems is transformed into the form of affine nonlinear systems.

利用隐函数定理和泰勒公式及中值定理，将非仿射非线性系统转变为仿射型非线性系统。

Afterwards, this article deals with the making and functions of heroic rhetorical fantasy based on some language materials; the absolute authority rhetorical fantasy created by recessive heroic discouse; the ideal model rhetorical fantasy created by dominant heroic discouse, possessing the functions of paradigm, instruction and dedication; the shaping allegory of rhetorical fantasy created by hero's absolutory discouse; the shaping allegory rhetorical fantasy created by future-hero's absolutory, possessing the functions of proving and punishing; the value identification rhetorical fantasy created by sub-hero's confiding discouse, possessing the functions of assisting, exposing evil and carrying forward good; the background metaphor rhetorical fantasy created by pan-hero's praising discouse, possessing the functions of receiving kindness and worship; the opposite symbolic rhetorical fantasy created anti-hero's foolish discouse.

接着，结合语料对"英雄"修辞幻象的生成与功能进行梳理：隐性英雄的语录式话语生成"绝对权威"的修辞幻象，并具有全面控制的功能；显性英雄的号召式话语生成"理想样板"的修辞幻象，并具有楷范功能、教谕功能和献身功能；准英雄的忏悔式话语生成"成长寓言"的修辞幻象，并具有迷误功能、证明功能和惩戒功能；亚英雄的倾诉式话语生成"价值认同"的修辞幻象，并具有协助功能、显恶功能和扬善功能；泛英雄的颂扬式话语生成"背景隐喻"的修辞幻象，并具有受恩功能和崇拜功能；反英雄的愚狂式话语生成"对立符码"的修辞幻象，并具有反衬功能。

The studies on the developing of new media are very important to the increasing of the area density of HDD and to the implementation of hybrid recoding technology.

光磁混合记录方法，是一种可以突破超顺磁极限的限制，并进一步提高硬盘记录密度和读写速率的一种新型超高密度信息存储方式。

In io, mTOR inhibition promotes T cell anergy under conditions that would normally induce priming.

体内研究中，在正常可激发免疫反应的条件下，抑制mTOR可促使T细胞无能。