维数

After that, using the method of group action we get the formula for computing of dimensions of cohomology of holomorphic vector bundles with trivial pull-back on non-primary Hopf manifold, of which the fundamental group is Abelian 〓.

我们利用群作用的方法，给出了具有Abel基本群〓的非主Hopf流形上具有平凡拉回的全纯向量丛的上同调维数的计算公式。

Lagrange Interpolation; Osculatory Interpolation; Dimension Of Interpolation; Algebraic Curve And Surface; Bezout's theorem

Lagrange插值；切触插值；插值空间维数；代数曲线曲面； Bezout定理

These complexes are structurally identified by single-crystal X-ray diffraction to show a variety of metal nuclearity from mononuclear to tetranuclear and dimensionality from 1-D to 3-D.

单晶结构分析表明这些化合物具有多种金属核数（从1到4）以及多种结构维数。

First, face image is decomposed by two dimension wavelet transform. Then the low frequency subband is convolved with Gabor filters and downsampled by a factor. After that, the kernel principal component analysis is used to reduce the dimension of Gabor features. Finally, minimum distance classifier is used to classify.

首先对人脸进行二维小波分解，通过Gabor滤波器对人脸低频子图滤波，并对Gabor特征进行降采样，然后采用核主分量分析的方法进一步降低Gabor特征的维数，最后采用最小距离分类器进行识别。

The objects of study in this paper are some dissipativeSchrodinger equations,including a third order nonlinear Schrodinger equation with fiberloss term which derives from the propagation of optical soliton in a monomode fiber,theweakly damped Schrodinger equation in dimension three,the nonautonomous Ginzburg-Laudau equation and so on.

本学位论文的研究对象是一些耗散型的非线性〓方程，包括描述单模光纤中光孤立子传播的三阶〓方程，三维弱阻尼〓方程和非自治Ginzburg-Landau方程等，研究内容涉及这些方程的整体解的存在唯一性，整体吸引子的存在性，吸引子的正则性，吸引子的维数估计，吸引子的流形逼近，周期解和全局周期吸引子的存在等等。

It is ∑ is the same n-dimensional state space at all t ∈ T .

这里假设这里∑表示，对于 t ∈ T 系统的维数都是 n 维。

Sometraditional means and techniques prove useless,because of high dimension of the ob-ject and lack of intuition in Holder norm.The paper attempts to find a new way tosolve the problem.

由于研究对象的维数高，又是在不具备直观意义的〓范数下进行，故以往研究这类问题的一些传统手段和方法都显得无能为力。

In this article, the author systematically summarizes current research and tendency of fuzzy rough set theory.

模糊粗糙集理论是解决数据集维数问题的有效工具，但基于模糊粗糙集的降维算法还不多。

In the low dimension of system ,the equations needed in present algorithm is less than those in normal methods such as QR, SVD etc.

该方法避免了一般算法的频繁的重正交过程；且在维数不高的情况下，所需求解的方程数也较一般方法更少。

We once believed that such things as the growth patterns of tree branches, and the networks of tree roots, the contours of mountain chains, and the directional meanderings of rivers and streams were random, because that was the simplest of explanations.

……我们曾经认为树枝的生长模式、树根的分布网络、山脊的外形轮廓，以及河流的蜿蜒曲折都是随意产生的，因为这是最简单的解释。但随着分形几何（分形几何学fractal geometry，空间具有不一定是整数的维，而存在一个分数维数。

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。