主向量

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。。。

Result Among the 1st principal components, the positive weight value of chest diameter was greatest and it was the eigenvector with greatest influence on the 1st principal components. Among the 2nd principal components, the character loading value of leaf-lobed width and the positive weight values of angle between leafstalk and its branch and leaf-shape index were greater. Among the 3rd principal components, the positive weight values of leaf number, branch length, branch thickness and developed degree of crown size of 1 year old branches were greater.

结果］在第一主成分中，胸径的权重正值最大，是对第一主成分影响最大的特征向量；在第二主成分中，叶裂宽的特征负荷值较大、叶柄与着生枝夹角和计形指数的权重正值较大；在第三主成分中，一年生枝的叶数、枝长、枝粗和冠幅发达程度的权重正值较大。

By projecting 3D models into 1D smooth principal curves, equally segmentation and sampling along the length of curve are implemented to extract shape feature vectors, then one can retrieve 3D model according to the matching result of shape feature vectors of 1D manifold.

本文将三维网格模型，投影为三维的光顺主曲线；通过对主曲线沿弧长方向的均匀分割采样，提取主曲线的空间位置和姿态等形状特征；最后通过形状描述向量的比较实现了对应的三维模型检索。

First, the reason behind the negative data is analyzed and a nonnegative constraint is imposed on the classic PCA. Then a set of nonnegative linear independence weight vectors of principal components is obtained, by which a low dimensional space is constructed. Finally, a nonlinear optimization technique is used to determine the projection vectors of the high-dimensional multi-spectral data in the constructed space.

首先分析主成分分析法产生非光谱数据的原因，据此对经典主成分分析模型增加非负约束；然后求出一组线性无关的非负主成分权向量，用该组向量构造低维空间；最后用非线性优化技术确定高维数据在该低维空间中的投影值，实现了高维空间与低维空间的相互转换。

While matching, only the principal component directions corresponding to the rows of the same serial numbers in searching area are needed to be extracted for the computation of projection value so as to form the vectors of projection values. The distances between MM-vectors and the vectors formed by projection values are computed, and whether the two kinds of vectors are matchable should be in accordance to those distances.

在匹配时，只需抽取搜索区域中相同序号的列向相应的主元方向作投影运算，从而构成投影值向量，进而计算该向量与预处理中所得的最大最小值构成向量间的距离，从而根据距离的大小判断是否匹配。

II, Polynomial rings on a general field( on contrast of those over a number field): concepts of ring, ideals, field and several special rings as domains, principal ideal domains and unique factorization domains, the unique factorization theory of polynomial rings.

二、一般域上的多项式理论（是数域上多项式理论的推广）：学习环、域和几类特殊结构的环（整环、主理想环，唯一分解环等）的概念，多项式环的唯一分解定理；三、线性代数：讲述一般数域上的向量空间理论（是数域上向量空间理论的继续和推广），模的概念，主理想环上的模的结构及其线性变换的若当标准型等；四、一元多项式的解及域论：学习域扩张及其相关概念，伽罗瓦理论，用伽罗瓦定理判断根式解的存在性。

It is clear that the maximum principal component is mainly made up of the supply frequency component. The subspace II is spanned by the other eigenvectors related to the rest components.

子空间I由信号中的最大主分量和噪声所对应的特征向量张成，子空间II由其他分量的特征向量张成。

This paper expoles an algorithm about dearing surface defects detection by Support Vector Machines and principal component analysis that is the new branch of machine learning, in which the defective area and non-defective area are treated as two different textures and are sampled respectively to be learned, in order to reduce dimension, the image data can be processed by PCA.

提出了一种基于支持支持向量机和主成分分析的轴承表面缺陷检测算法，该算法把轴承中的非缺陷区域和缺陷区域分别看作两种不同的纹理模式，先利用主成分分析法对图像进行降维处理，然后用支持向量机方法对降维后的样本采样学习，然后进行分类判断。

The main contributions are as follows:(1) The decoherence suppression of N level Markovian systems is investigatedby the optimal control in the coherence vector representation. The N level Markoviansystem can be described by the master equation, and possesses a standard bilinear formin the coherence vector representation.

本论文利用密度矩阵相干向量表示研究了退相干效应的抑制和相应的纠缠控制问题，论文主要工作包括：(1)在密度矩阵相干向量表示下，利用最优控制研究N能级Markov系统的退相干抑制问题。N能级Markov系统可以用主方程模型描述，在相干向量表示下具有标准的双线性形式。

Though Nom Anor as a Yuuzhan Vong infiltrator was created for The New Jedi Order series of novels that started with Vector Prime, comic readers first got a brief, shadowy glimpse of the character in Crimson Empire II, where the character's motives and background remain largely a mystery.

虽然作为一个遇战疯族渗透者，农·阿诺是为以《主向量》为首的《新绝地武士团》系列小说创作的，但漫画读者在《血红帝国 II》里就能短暂模糊地瞥见这个角色，但他在那里面的动机和背景基本是一个谜。

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。