维数

The results show that the estimated correlation dimension can be taken as the characteristic parameter to define what state the motion of the system is in,and further the results can be used for trend monitoring in different failure situations of the system.

理论分析和计算结果表明，所估计的相关维数在不同状态下有着显著的差别，可以对碰摩转子系统不同的状态进行分类，对碰摩转子运动特性的研究提供了一种新的方法。

Inner worlds are sometimes known respectively as the Spiritual World, the Collective Unconscious, the Inner Planes, and so see in the interaction of the outer and inner dimensions as the basis for paranormal phenomena things that go bump in the night, ESP, clairaudience, clairvoyance, magickal exercises.

内心世界有时候被分开的认为是精神世界，无意识的集合，内心的界面等等我们把内外交感的维数？

On the basis of the fractal theory, general form and calculation method of the fractal characteristic are given, that is the calculation model of non-close fractal curve length and closed area, and box counting dimension algorithm.

基于分形理论，给出了分形特征的一般形式及其计算方法———非闭合分形曲线长度与围成面积的估算模型和盒维数的算法。

In the first chapter,we discuss the problem of (Z_2)~k-actions with fixed point set of constant codimension.

在第一章中，我们对具有常余维数不动点集的(Z_2)~k作用进行了研究。

The injective rings play an important role in the study of rings and categories of modules . First , we introduce the notion of ann-injective rings and CT-injective modules .Second,we make an inquiry into a series of their properties.Third,we give the definition of homological dimension of CT-injective modules.At last,we give the definition of FGT rings which is the extension of cogenerator rings.

本文对环与模范畴中一重要的模类—内射模进行了延拓，引入了ann -自内射环以及CT -内射模的概念，探讨了它们一系列的性质，并定义了CT -内射模的同调维数，最后对余生成子环进行推广得到了FGT -环，讨论了它与CT -内射环的关系以及它的一些性质。

The first 10 chapters study cohomolgy of open set in Euclidean space,treat smooth manifolds and their cohomology and end with integration on manifolds.

全书分四章：范畴与函子及其在模论中的应用；特殊模与相应的维数；环模复形的同调理论；谱序列。

The contents include the computing of dimensions of cohomology of line bundles on non-primary Hopf manifolds and their applications to the existence problem of holomorphic structure or filtrable holomorphic structure on a continuous vector bundles; the structure and the computing of dimensions of cohomology of holomorphic vector bundles with trivial pull-back.

在这篇博士学位论文中，我们研究了非主Hopf流形上全纯向量丛，主要包括：非主Hopf流形上全纯线丛的上同调维数的计算，以及它们对连续向量丛上全纯。。。

Using an aggregation matrix with full column rank to map the on-line optimization variable sequence into a new one, the number of on-line optimization variables is cut down without reducing the control horizon. A sufficient condition is presented to check whether the control variable sequence can be aggregated.

通过一个列满秩的集结矩阵将维数较小的控制变量序列映射成在线优化变量序列，在不缩短控制时域的情况下，降低了在线优化变量的个数。

Ngai and Wang [9] introduced the notion of finite type and described a scheme for computation of the Hausdorff, Box dimension when the finite type occurs, which, however, forces the ratios to be exponentially commensurable.

Ngai和Wang[9]提出了有限型的定义并给出了当迭代函数系统是有限型时计算系统吸引子Hausdorff，Box维数的方法，但有限型的定义要求相似变换的压缩比必须满足对数值可公度。

Symmetry group is a connected compact Lie group, the system has also a fine cascade decomposition.

该章正是从这一角度出发，通过参数确定了线性控制系统的对称代数，而且构造出的对称代数其维数是最大的。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。