维数

For the Ricci flow on n-dimensional (n ≥ 4) manifolds, if the initial metric possess positive curvature operator and strong pinching conditions, then we can get the similiar results, consult the reference papers , and .

对于维数n≥4的黎曼流形，如果初始的度量的正曲率算子加上足够强的拼挤条件，也能够得到类似的结果，参见[Hu1]，和。

The structure of prime submodules of free modules is depicted and a calculable formula about prime dimensions of free modules is given.

对自由模的素子模是进行了刻画，给出了自由模的素子模的结构为(PF，u1，u2，…，us)，且给出了自由模的素维数的计算公式D=dimA+rankF-1。

As the electrophysiological inhibitory indexes for TLE seizure, they are principal focus in this research.

用反映大脑动态功能的宏观指标—脑电的混沌分析定量指标相关维数，研究比较了频率为O。

The traditional Procrustes analysis method is used to normalize the point sets.

经过迭代运算，对存在几何失真，且维数不同的两点集可得到精确配准。

By this equality,we prove that the amplitude of a compact DG module M over a cohomologically bounded DG algebra A is just the sum of the amplitude of A and the projective dimension of M.

对于一个同调有界的连通DG代数上的紧的DG模，我们由此等式可得其振幅与DO代数的振幅的差恰是它的投射维数。

After studying the applications of image algebraic feature thoroughly, we found that when algebraic feature is used to face recognition, projective transformation is generally used to compress the dimension of extracted image feature, then classifier is designed to recognize.

对图象代数特征应用作了深入研究之后，发现在应用代数特征进行人脸识别研究时，一般用投影变换来压缩提取的图象特征维数，然后设计分类器进行识别。

In Chapter 2, construction, structures and properties of sixteen one-, two-, and three-dimensional coordination polymers self-assembled by 4,4'-bipyridine (4,4'-bpy) and pyrazine with metal salts have been described.

第二章描述了16种含4，4'-联吡啶和吡嗪桥连配体的聚合金属配合物超分子的构筑、结构及性质。通过改变酸度、溶剂体系及各种反离子等条件，分别得到不同层次和维数的、具有各种孔穴或通道结构的聚合配合物。

In order to increase the negative refraction bandwidth and the dimension of metamaterials, based on a quadrate structure, a crossing-net metamaterial structure is proposed, and the frequency properties of its permittivity and permeability are simulated.

为拓宽异向介质结构的带宽和维数，在方形环结构的基础上，提出了一种异向介质的交叉网状结构的设计，并对其介电常数和磁导率的频率特性进行了计算机仿真。

In chapter 6, we study the dimension of a code associated with a difference set and we also study how to construct Ramanujan graph by using difference sets, we obtain:(1) let q≡1 (mod 4) be a prime power, p be a prime such that p｜〓, then the p-rank of the quadratic residue partial difference set in the finite field GF is 〓.

在第六章中，我们研究差集对应的码的维数及用差集构造Ramanuian图，得到了：（1）设q≡1（mod 4）是素数幂，素数p｜〓，则GF中的二次剩余部分差集的p-秩是〓。

In order to solve the problems of the vector quantization error and the excessive computation complexity arising from audio features, this paper proposed a new automatic audio classification method based on PCA and CHMM.

针对DHMM分类器对音频特征进行向量量化引起的误差及特征维数过多导致计算复杂度过大的问题，提出了一种新的基于PCA和CHMM的音频自动分类方法。

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。