查询词典 contraction theory

Using integral equation theory and"contraction mapping"theorem, we prove that this model has a unique solution.

接着用压缩映象原理证明了此模型解的存在唯一性，这为讨论经济系统的稳定性奠定了数学基础，又通过对定常的投资方程渐近稳定性的研究和非定常投资方程Liapunov稳定性研究，我们分别讨论了积累率、劳动力和科技进步对经济增长的作用，进而指出只有依靠科技进步才能实现经济的持续增长，才能真正提高人民的生活水平。

Topics covered include: nonlinear ordinary differential equations; planar autonomous systems; fundamental theory: Picard iteration, contraction mapping theorem, and Bellman-Gronwall lemma; stability of equilibria by Lyapunov's first and second methods; feedback linearization; and application to nonlinear circuits and control systems.

课程的主题包括：非线性常微分方程组；二维自治系统；与课程相关的基本理论，如比卡迭代法，压缩映射定理，Bellman-Gronwall引理，平衡点稳定性分析的李雅普诺夫第一种方法和第二种方法，反馈的线性化；以及非线性电路和控制系统的实际应用。

As a direct consequence of the interdigitating filament model of the myofibril and the corresponding theory of muscular contraction put forward by H.

在肌小节长度超过8微米以后，三磷酸腺苷仍能引起肌原紆維的縮短，而且在肌小节拉长后出現的結构变化也是可逆的。

In chapter one,the backgrounds and current situation of operator theory in Banach space are introduced and the preliminaries of Banach space are given.In chapter two,we study the existence and uniqueness of fixed point for decreasing strict-set-contraction operator in product space.Under the weak continuous condition,we obtain the existence and uniqueness of fixed point for decreasing operator and we give an application of these results; In chapter three,we get several positive fixed point theorems of decreasing operator and the existence and uniqueness theorems of positive fixed point for operator C=A+B,C=D-A in real Banach space where the order is decided by a normal cone; In chapter four,we obtained some existence and uniqueness theorems of fixed point for some mixed monotone operators in semi-ordered Banach space.

在第一章中，主要介绍了半序Banach空间非线性算子的研究历史背景、现状以及半序Banach空间中的预备知识；在第二章中，我们利用半序方法研究了Banach乘积空间中严格集压缩减算子不动点存在唯一性问题，在弱连续的条件下，得到了不动点的存在唯一性和迭代收敛性，同时，给出了它们的一些应用；在第三章中，我们建立了拟弱连续减算子的正不动点定理，并证明了算子C=A+B，C=D-A的正不动点存在唯一性定理；在第四章中，我们得到了半序Banach空间中混合单调算子的不动点存在性及唯一性定理。

In Chapter 7, we prove the resolvent operator of compound KDV equation is computable via the operator method, contraction mapping principle and TTE theory.

第五章应用Backlund变换得到了变系数组合KdV-Burgers方程的N-类孤子解；第六章应用F展开法及其扩展形式得到了变系数组合KdV方程和(n+1)维Sine-Gordon方程的孤立波解；第七章运用算子方法、压缩映象原理和TTE理论，证明了组合KdV方程的解算子是可计算的；最后对全文进行了总结，并对未来的研究方向作了展望。

In theory, this may be in part because Non-Exercise Activity Thermogenesis is generally a much greater component of total energy expenditure than exercise, or because any type of brief, yet frequent muscular contraction throughout the day may be necessary to short-circuit unhealthy molecular signals causing metabolic diseases.

从理论上来说，这样的结果部分是由于非运动型活动的产热作用比锻炼占据了更多比例的能量消耗，或者是由于长时间短暂、频繁的肌肉收缩造成短途的不健康的分子通路，后者是代谢综合征中的必经途径。

It discusses theory of relativity featuring the characteristics of time and space, the principles of equivalence and general covariance in general relativity, gravitational field equations, the principle of relativity, time dilation, contraction of length, and gravitational waves in gravitational field.

对相对论中的时间和空间特性进行了探讨，分析了广义相对论中的等效原理和广义协变原理，讨论了爱因斯坦引力场方程，研究了相对性原理、引力场中的时间膨胀、长度收缩和引力波。

By using Lyapunov theory, the σ adjusting law of the contraction and expansion factor is given, and it has been proven that the closed-loop is uniformly ultimately bounded.

基于Lyapunov理论，给出了伸缩因子的σ调整律，并证明了闭环系统一致最终有界。

This article is about adoption of Watson's caring theory for a 38-year-old primigravida, who presented with early uterine contraction and was hospitalized for tocolysis. Clinical data was collected and assessed by interview, observation and body assessment during October 17th and November 15th, 2006. We found the client worried about the fetal health owing to premature labor and felt frustrated about limitations and demands of learning and accomadating herself to high-risk labor, resulting in anxiety, constipation and health-seeking behaviors.

本文在分享运用Watson关怀理论於一位高龄初孕妇因子宫早期收缩住院安胎之护理经验，笔者於民国95年10月17日至11月15日护理期间以会谈、观察及身体评估收集资料，发现个案担忧早发性分娩对胎儿健康造成威胁，及为适应及学习高危险妊娠的限制及需要，引发个案有焦虑、便秘、健康寻求行为的问题。

The mechanism of FPCL contraction proves the theory of "traction".

FPCL收缩的机理支持了有关伤口收缩机理的&牵拉&理论。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。