查询词典 absolutely continuous function

Theorem Let be continuous on a bounded closed region in the -plane.(1) If is given by and , where are continuous functions of on, then

定理 设在xy平面上的有界闭区域 D 上连续，(1)若区域由和所给出，其中是上的连续函数，则。

In chapter 5, local derivations and local automorphisms of nest subalgebras in von Neumann algebras and local higher cohomology -local 2-cocycles are studied. It is proved that every weakly continuous local derivation, respectively, every weakly local automorphism, of nest subalgebra of a factor von Neumann algebra is a derivation, respectively, an automorphism. Every norm continuous local derivation, respectively, every norm local automorphism, of the nest subalgebra associated to a countable nest in a factor von Neumann algebra is a derivation, respectively, an automorphism. Moreover, it is answered Larson's question. Finally, it is shown that every local 2-cocycle of any von Neumann algebra is a 2-cocycle.

第五章研究von Neumann代数中套子代数的局部导子和局部同构以及von Neumann代数的高维局部映射—局部2-上循环，证明了因子von Neumann代数中套子代数的每一个局部强连续导子和局部强连续同构分别是导子和同构；可数套所对应的套子代数的每一个有界局部导子和有界局部同构分别是导子和同构；同时，部分回答了Larson所提的问题；最后，得到von Neumann代数的每一个局部2-上循环是2-上循环。

The experiment results indicate that V-system is an effective tool used to reconstruct complicated geometric information with both continuous and discontinuous signals. This is the essential difference among V-system, the classical complete orthogonal system with continuous functions and Walsh and Haar system which include intense discontinuous functions.

利用三角域上V-系统进行三维复杂几何模型的重构实验，实验结果表明，V-系统对复杂的、连续间断并存的几何信息重构特别有效，这与经典的连续正交函数系及强间断的Walsh及Haar函数系有本质的不同。

After 10 years of continuous development, the company understands that, and constantly updated, continuous progress is rapid development in a changing world, to maintain the success of one of the most important factor, which is my company in the printing field of constant pursuit of improvement, in order to maintain highly competitive, providing customers with more reasons for quality service and support.

经过10年的不断发展，公司理解到，不断更新，不断进步才是在变化快速发展的世界里，保持成功的最重要的因素之一，这也是我公司在印刷领域里不断追求改进，以保持高竞争力，为客户提供更优质服务和支持的原因。

According to the need of continuous LD parameter analyzer,a new continuous LD driver control system is developed.

针对连续半导体激光器特性参数测试的需要，研制了一种新型的连续LD驱动控制系统。

ABSTRACT The main content of this dissertation is focused on formal Verification of Hybrid Systems with complex continuous dynamics. The research pivot is to solve the difficulties of Discrete model Approximation of Complex Continuous dynamics .

本文所有论述均围绕着解决具有复杂连续动态混合系统的形式验证这个主题而展开，以解决验证中复杂连续动态的离散近似所存在的困难为研究重点。

The book is divided into 14 chapters, including Introduction, continuous control system theory, process and discrete sampling, Z transform, sampled-data systems, discrete approximation of continuous system the equivalent, based on mathematical transform the classical design method, based on state space pole placement design methodology, multi-variable system of quadratic optimal control, quantitative effects, the choice of sampling period, the digital control system modeling, digital control system for a variety of design methods, variables quadratic optimal control systems, sampling cycle of selection, non-linear control of the problem, as well as digital control system, a typical application - Disk drive servo control design.

全书共分14章，内容包括概论、连续控制系统理论、采样过程和离散化、Z变换、采样数据系统、连续系统的近似离散等效、基于数学变换的经典设计方法、基于状态空间的极点配置设计方法、多变量系统的二次型最优控制、量化效应、采样周期的选择、数字控制系统的建模问题、数字控制系统的各种设计方法、变量系统的二次型最优控制、采样周期的选择、非线性控制的有关问题，以及数字控制系统的一个典型应用——磁盘驱动器的伺服控制设计等。

D Shannon entropy theory of continuous random variables to obtain theory of continuous game with entropy.

并研究了带熵连续博弈的Neumann-Shannon博弈解集的凸性结构和拓扑结构。

With the continuous expansion of business scale, Shenzhen Airlines, Zhengzhou branch will be more rigorous and pragmatic attitude, and constantly build a more harmonious labor relations, labor and employment to avoid the risk of long-term enterprise development and foster a good social image and continuous efforts.

伴随企业规模的不断扩大，深航郑州分公司将以更加严谨务实的态度，不断构建起更加和谐的劳动关系，规避劳动用工风险，为企业的长久发展和树立良好的社会形象而不断努力。

We firstly look back thebirth of SD method,and then present the SD scheme presented by Johnson et.al.forlinear problem to explain the basic idea and implementation:At step 1,we change the testfunctionwhere(1,β)t is the streamline or character direction decidedby hyperbolic operator of the continuous problem,therefore the SD method belongs tothe Petrov-Galerkin method;At step 2,we adopt time-space finite element space,whoseelement is only continuous in space variables x but discontinuous in time variable t.

首先回顾了SD方法的产生过程，然后以线性问题为模型，描述了SD方法的基本思想和具体实现：第一步，将标准有限元方法的检验函数ν改成其中(1，β)t是连续问题的双曲算子部分所确定的流线方向。换言之，SD方法是一种Peterov-Galerkin有限元方法；第二步，采用时空有限元空间，其元素关于空间变量x是连续的，但关于时间变量t仅分段连续。

Many will continue to choose to live in duality and in conflict.

许多人将继续选择活在二元对立性和冲突中。

I find that students of the University of Physical Education all wear sportswear at first sight.

我发现：体育大学的学生乍一看，都是穿运动衣，大家都一样