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Gives three definitions for Omega definite integral for a real number function and three integrable function classes;Ⅻ.

精确陈述和严格证明了被称之为牛顿－莱布尼茨的公式，并将它改进为欧弥伽公式。

In chapter 1, we introduce the definitions of area integral S_β and invariant g-function on unit sphere, and study their boundedness on BMO and non-isotropic Lipschitz spaces.

共分三章，第一章引进了C~n单位球面上的面积积分和不变g函数，研究它们在BMO空间以及non-isotropic Lipschitz空间上的有界性问题。

All the research on divergence microtheory is the basis for a number of decisions that are made during the design and construction of KCM, including the definitions of primitives, the structure of interlingua, a definition of a parametrizes semantic-syntactic mapping, organization of the dictionary.

在语言泛处理模式的结构设计中，异化现象的分类研究，形式化定义及定性分析为原语定义、中间语言结构定义、词典组织、语义-句法参数映射的定义等许多决策提供了依据。

Because of the international nature of flying, terms used in the "Lexicon" published by the international Civil Aviation Organization are included when they differ from USA definitions .

由于飞行的国际性，国际民航组织出版的《词汇汇编》中的词语与美国的定义不同时在定义后面标注 ICAO，依次与美国定义一起按顺序排列。

In order to understand the basic components of the Interplanetary Superhighway, some basic concepts and definitions from mathematics are helpful and provided here.

为了了解星际高速公路的基本组成部分，一些基本概念和数学是有帮助的定义，并提供在这里。

Director allows you to define multiple classes in a single movie script member and intersperse class definitions with procedural functions that you would have normally defined in a separate script.

Director允许在一个电影脚本成员中定义多个类，或把你需要定义的函数放在不同的脚本的类中定义。

Abstractive Intuitiveness - either the modeler has to understand better definitions of rules, relationships and processes of components or has to be flexible enough to have these added on the fly.

抽象的直观性-无论是建模者必须了解规则，关系和过程的组成部分，或有更好的定义必须有足够的灵活性，这对飞说。

At first, this paper surveys nonlinear control and the applications of neural networks in control respectively. Then it studies definitions, mathematical descriptions and conditions of invertibility for nonlinear systems, which are used to analyze the feasibility of inverse system control method. Conclusions about the feasibility of inverse control and the realizability of αth-order inverse systems in engineering are achieved. Furthermore, this paper discusses the feasibility, structure and identification of neural network αth-order inverse system for general single-input single-output continuous or discrete nonlinear systems and various composite control methods based on the αth-order inverse. At last, as a part work of an actual project, this paper focuses on the design of neural network αth-order inverse control method for thyristor controlled series compensation in power systems and its effect in improving the stability of power systems.

本文首先分别概述非线性系统的控制与人工神经网络在控制中的应用；然后研究非线性系统各种可逆性的定义、数学描述及可逆性条件，并用于分析逆系统控制方法的可行性，得出有关逆系统控制方法可行性的结论，阐明一般情况下α阶逆系统才工程可实现；接着本文针对一般单输入单输出连续、离散非线性系统，研究神经网络α阶逆系统的可行性、结构与辨识以及基于神经网络α阶逆系统的各种复合控制方法，并给出应用例子；最后本文结合实际项目，针对采用可控串补的电力系统，设计神经网络α阶逆系统控制方法，研究其对提高电力系统稳定性的作用。

For no one can reasonably hold that fallible doctrinal teaching is irreformable or deny the right of later generations to question the correctness of earlier fallible definitions and call for their revision or correction, or even for their total abandonment.

因为没有人可以合理地认为，犯错误的理论教学是irreformable或拒绝的权利，后人质疑的正确性较早前犯错误的定义，并要求其修改或更正，或什至为他们彻底放弃。

Then we obtained the data of the lower limb motion of the volunteer in gait by motion capture system. Analyzing the results, we found that the relative positions of the landmarks which were used to construct JCS did not change much during the movement. That means the method on definitions of JCS in this article was reasonable at a certain range.

通过利用运动捕捉系统对自愿者步态过程中的下肢运动轨迹进行采集，分析构建坐标系的特征点在运动过程中空间相对位置的不变性，说明了文章提出的下肢关节坐标系定义方法在一定范围内是合理的。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。