查询词典 radon nikodym theorem

We would simply require them to recognize, appreciate, and memorize the great pieces of language of the past - literary equivalents of the Pythagorean Theorem and the Law of Cosines.

我们仅仅需要他们认识、欣赏、记住历史上伟大的语言篇章——就好比是数学中毕达哥拉斯定理和余弦定理。

We give all of these properties by means of theorems, and also give detail proofs. In the most important theorem, we give the relation between singularity and jumps and sharp cusps neighborhood. and the threshold detection of jumps and sharp cusps, and the relation between threshold and scales, where we partly resolve an open problem put forward by some researcher.

在最关键的定理中，给出了奇异性与突变点和尖点的领域的关系，以及突变点和尖点的阀值检测法，以及阀值和尺度的关系，这部分的解决了以前研究者提出的一个公开问题，同时研究了逼近程度和逼近理论，这在已有的基础上又向前进了一步。

The paradox in this article just means that the conclusion drawn from certain theorem of deontic logic does not accord with people's direct or common sense or habitual understanding, not means what we generally called, which would lead to contradictions in logical system.

文中所说的&悖论&，只是指由道义逻辑中的某个定理推出的结论，与人们在直观上或常识上或习惯上的理解是不相符的，也不是通常说的那种会导致逻辑系统产生矛盾的悖论。

Daubechies'wavelet frame theorem is extended from one dimension to n dimensions. According to this framework, an example of n-dimensional radial wavelet is given. Differing from tensor product multidimensional wavelet, the radial wavelet is inseparable, locally supported and infinitely differentiable. The family, obtained by dilations and translations from this radial wavelet, constitutes a special type of radial wavelet frame in L〓.

Daubechies的框架定理推广到了n维情形，同时，也按照这一理论框架，给出了高维二进径向小波的具体例子，具有下列性质：ψ是无穷次连续可微的；ψ是局部支撑的，支集为‖x‖≤1；ψ含有分式因子，因此对&奇异点&更为敏感；ψ是不可分的，不同于张量积形式的高维小波；ψ是各向同性的。

The following exciting results are revealed: 1 When considering the influence of some nonlinear elements such as hard-limit of exciters, the effects of some devices such as Power System Stabilizer and Static Var Compensator which can introduce positive damping in power system, the reasonability of system parameter values in simulation, the SNB surface and HB surface on the boundary of SSSR will turn close to each other and even coalesce together; 2 Under some conditions, coupling between slow exciters and shunt capacitors will bring negative damping in power system dynamics, which increases the possibility of oscillatory instability. So the power system with mass shunt compensators is easily subjected to the oscillatory instability. In recent years, chaotic phenomena of power system have been reported many times. Some simulation studies even found chaos existing inside the power system SSSR. In this dissertation, chaotic phenomena in power systems are thoroughly studied in order to make clear the relation of chaos and SSSR. The following results are derived: 1 Based on Li-Yorke Theorem and their definition on the chaos, the existence of chaos in power system is verified; 2 Three possible routes of causing chaos in power system are found and deeply investigated. They are route of cascading period doubling, route of directly initial energizing and route of torus bifurcation (or quasi-periodicity). The latter two routes are investigated for the first time in power system stability studies; 3 When the stability conditions of chaos are broken, it is found they can lead to voltage collapse, angle divergence, or voltage collapse with angle divergence simultaneously.

针对在电力系统小扰动稳定区域内可能存在混沌吸引域的有关报道，本文深入研究了电力系统混沌现象的出现途径和与系统失稳模式之间的关系：1利用Li-Yorke定理和Li-Yorke的混沌定义，从理论上证明了电力系统混沌现象的存在性；2发现了电力系统中导致混沌出现的三种可能途径：倍周期分岔导致混沌、初始能量直接激发混沌和经由环面分岔导致混沌，并对后两种新发现的途径进行了较为细致的研究；3发现了混沌极限环破裂导致电压崩溃、角度失稳以及电压崩溃和角度失稳同时出现的现象，其中混沌极限环破裂导致系统角度失稳和电压崩溃及角度失稳同时出现的现象均属首次报道；4证明由微分-代数方程描述的系统模型，其小扰动稳定域的边界只包含HB、SNB和SIB三种分岔界面，在SSSR的内部和边界上，均不可能存在会导致混沌的点，从而将混沌现象排除在小扰动稳定域的研究之外，简化了后者的研究工作。

FERM principle.key theorem.bounds on rate ofuniform convergence.

模糊风险泛函，FERM原则，关键定理，一致收敛速度的界

A woman views a mixed media installation,"Rain theorem", by Russian artist Alexei Kallima on show on June 4, 2009 at the Russian pavilion of the Art Biennale in Venice.

一个女人的观点混合媒体装置，&雨定理&，由俄罗斯艺术家阿列克谢Kallima上显示在2009年6月4日在俄罗斯馆艺术双年展在威尼斯。

Depend on 3color theorem take the lamp shell used in yellow.

色。根据三色定理将灯壳用为黄色，夜间开灯时灯光成为黄绿色，这样使喜欢黄色的害虫大量扑灯，而使喜欢绿色的草蛉、瓢虫等益虫少扑灯，大大提高了害虫诱杀率，降低了益害比。

Based on the analysis of the pitch error measure theorem for screw,the dynamic measure system of pitch error for lead screw constituted by single-chip microcomputer is discussed.

在分析丝杠螺距误差测量基本原理的基础上，简述了由单片微机组成的滚珠丝杠螺距误差动态测试系统，并开发了计算机辅助自动分析测控软件。

The relationship between orthogonal linear transformation and theorem of projection is demonstrated in the angle of mathematics analysis meanwhile validating its correctness through analyzing typical applications of transformation.

本文从数学分析的角度推证了正交变换与投影定理的内在联系，通过信号分析中典型正交变换的应用进行了验证，从而揭示了正交变换的内在本质。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48