查询词典 radon nikodym theorem

Theorem 2.3.3 Let R be a reduced left morphic ring, then R is a right PS-ring.

定理2.3.3：设R是约化的左morphic环，则R是右PS-环。

We also provide the ergodic convergence theorems for semitopological nonexpansive type mappings in the reflexive Banach in Chapter 3. By this theorem we can get the main results in [13]14[15][16], and we should notice that their methods do not extend beyond Lipschitzian mappings.

本文第三章在自反的Banach空间中给出了一般拓扑半群上渐近非扩张型半群的遍历收敛定理与其殆轨道情形的等价性，从而利用本章中的定理可以直接推得文[13][14][15][16]中的主要结果。

Especially, by use of the new point, the concept of atom is defined from which the essential implications of atom and nonseparation are brought in, and Stone theorem of finite Boolean algebra is extended to alleged atomic algebra.

特别本文用新的观点给出了&原子&的定义，这个定义给出了&原子&的&不可再分&的本来含义，并且将有限布尔代数的Stone定理推广到所谓原子代数中去。

The composition theorem based on the nonsymmetrical interfaces was proved, in terms of which any two components interacting by harmonic interfaces could be combined into a single component.

第二，系统地建立了构件与接口、接口与接口的关系理论，明确了接口&和谐&交互的条件及构件&提供&接口的含义。

Formulas are derived to compute hydrodynamic pressures or hydrodynamic perssure influence matrices on dams using series development and linear superposition theorem with nonvertical upstream face、the compressibitily of water、the effect of absorption of the reservoir bottom ect. being taken into account.

利用级数展开和线性叠加原理，推导了坝迎水面倾斜、库水具有可压缩性、库底具有吸收性等多种情形下，重力坝迎水面上动水压力和动水压力影响系数矩阵的计算公式。

As an examplc, in the Chebyshev coordinates, we use the Backlund theorem to give a Backlund transformation and a permutability formula between the generalized sine-Laplace equation and the generalized sinh-Laplace equation.

作为一个例子，利用几何的Backlund定理我们给出了广义的sine-Laplace方程和广义的sinh-Laplace方程之间的Backlund变换及其置换公式。

Some problems related to sentence vectorization are investigated, several fundamental definitions as well as one judgement theorem are given, and the postpositional processing on attribute vectors of sentence cells is discussed.

研究了语句矢量化的有关问题，给出了若干基本定义和一个判定定理，讨论了句元属性矢量的后置处理。

The main results are as follows:(1) In Chapter 2, the proof of the main theorem on quadratically related m-geometric sequences in [5] is simplified and consummated; A family of GMW-geometric sequences derived from GMW sequences are constructed, and their correlation functions and linear complexities are given.

本文也正是从扩频码序列的相关性能和安全性的角度来构造和研究了几类扩频码序列集合，得到以下的结论：（1）第二章首先简化并且完善了文献[5]中关于二次相关m-几何序列的主要定理；其次，在GMW序列的基础上构造了GMW-几何序列，计算了GMW-几何序列的相关函数；最后给出了GMW-几何序列的线性复杂度。

Also the reciprocal theorem is invoked and analytical expressions of the Frechet derivatives are derived on the basis of NMM, and resultingly in each iteration the forward modeling is needed to be invoked only once.

为提高速度，采用前述的INMM方法，同时运用互易定理，并导出了基于NMM的Frechet导数解析表达式，这样，每次迭代只需一次正演。

In order to select optimal grid and good computation efficiency to recover the entire signal, aiming at the Ricker wavelet commonly used in forward modeling, we analyzed the alias and signal restoration problem in finite-difference method based on spatial sampling theorem and seismic wave traveling regulation in media with different velocity, to derive quantitative relationship among the modeling grid size, minimum velocity of model layer, and recovered main frequency of wavelet.

为了选择最佳的网格尺寸以及以最小的计算量完整地恢复出信号，针对地震波场正演模拟中经常使用的Ricker子波，根据空间采样定理和地震波在不同速度介质中的传播规律，分析了有限差分算法中的假频和信号恢复问题，推导出模拟网格尺寸、模型地层的最小速度和能够恢复的子波主频之间的近似定量关系，并用数值算例验证了这一关系。

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