主向量

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。

For large scientific and engineering problem, an array processor might relieve the main processor of the time-consuming chore of array manipulation.

对一些庞大的科学和工程问题，一个阵列处理器可以把主处理器从耗费时间的向量处理的杂务中解脱出来

Furthermore, residual interference is analyzed. In Chapter Six, Principal Component, Cross-Spectral Metric, Auxiliary-VectorFiltering and Multistage Wiener Filtering are applied to study low-rank blind space-timemultiuser detection with the generalized canonical representation in multipath channels.

第六章基于最小方差盲空时多用户检测的广义正则形式，利用主成分方法、互谱度量方法、辅助向量滤波和多级维纳滤波，研究了多径条件下的低秩盲空时多用户检测。

Principal analysis ; factor analysis ; characteristic value ; characteristic Vector ; specific gravity ; rate of loading

主成分分析；因子分析；特征值；特征向量；比重；负荷率

Chapter 2 introduces some propaedeutics of classic differential geometry, which include the first basic form, the second basic form, normal curvature, main curvature, mean curvature, Gauss curvature, unit normal vector, main vector, etc.

第二章介绍一系列的预备知识，主要是关于古典微分几何中第一，第二基本形式的定义，法曲率，主曲率，平均曲率，Gauss曲率，单位法向量，主方向等的定义。

Principal curvatures and principal directions are obtained by computing in closed form the eigenvalues and eigenvectors of certain 3×3 symmetric matrices defined by integral formulas, and closely related to the matrix representation of the tensor of curvature.

通过计算3×3对称矩阵的特征值和特征向量可以得出主曲率和主方向，而该对称矩阵是由积分公式定义并且与曲率张量的矩阵表达密切相关。

We propose a unified method to approximate important geometric attributes, including normal vector, gauss curvature, mean curvature, principal curvatures and principal directions on point sampled surface. Based on MLS projection our method is robust to noise and stable to the sampling density.

曲面的微分性质包括法向量和切平面、高斯曲率、平均曲率、主曲率和主方向，在计算机图形学、机器视觉和计算机辅助设计等领域发挥了重要的作用，比如曲面绘制、内外测试、曲面重建、曲面简化、去除曲面噪声和模型分割等。

By the analyses of different person and the same person with different expression and gesture, the number of principal component vector is determined properly under the attention to divisibility and workload.

首先对不同人以及同一个人的人脸图像进行主成分变换，然后根据得到的人脸图像类内及类间距离数值的变化结果，在充分考虑到其可分性和计算工作量的前提下，选择适当的主成分变换向量的个数并进行人脸图像的特征提取。

The characteristic vector of the real symmetric matrix should be found out, which is orthogonalized and normalized to a standard orthogonal base and is used as row vector to construct the transformation matrix P, so the P~(-1)AP can be made into diagonal matrix.

实对称矩阵A经相似变换P-1AP可化为对角矩阵，在x =Py 下，不一定能化A的二次型为标准型；应寻求对称矩阵A的特征向量，将其正交化并单位化作为标准正交基，作为列向量构造变换矩阵P，可使P-1AP=Λ为对角阵，在x =Py 下，要将二次型化为标准型，且二次项系数即为对角阵Λ主对角线上元素。

This method reshapes the SAR images matrix into vectors, and analyzes the matrix which is composed of the two vectors with PCA process, getting a conclusion that the minor component image is the change portion.

该算法将SAR图像转化为列向量，对两个图像向量组成的矩阵进行主分量分解，其图像的变化部分则表征为矩阵的次分量成分。

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。