向量的

This paper researches linear maps preserving orthogonality,obtains the linear maps preserving othrogonality,it is either a rank -declining or rank -keeping map or a map with nilpotent element in its codomain.

利用分块成向量的方法证明了MnMn(F为域F上所有n×n矩阵构成的乘法半群上的n×n拟正交矩阵组至多含有n个矩阵，利用方程组的解的理论证明了Mn中与给定矩阵A构成两两拟正交矩阵组的矩阵个数不超过n-Rank+1，从而得到Mn上保持拟正交性的线性映射φ要么是降秩的或者保秩的映射，要么φ的值域中含有幂零元。

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。

Although the infinite Toeplitz matrix can not be dealt with the methods for finite matrix, it is found that its spectral is continuous by a series of pertinent elementary transformations for infinite matrices.

虽然这类矩阵不可以用有限阶矩阵的方法处理，但通过一系列相伴的初等变换，发现它们的特征值是连续变化的，获得特征向量的递推公式，从而得到这些算子的谱的连续性的一个直观证明。

Two kinds of different methods, fuzzy synthetic decision and fuzzy pattern recognition, used in fault diagnosis of turbine generator sets are briefly introduced in this Paper at first.

首先提出了模糊综合评判和模糊模式识别是两种本质上不同的诊断思想，介绍了两种方法的计算过程，重点说明了在征兆向量的构成上以及计算结果的意义方面的不同之处。

In AC drive control system, in order to obtain the high dynamic response of an induction machine, the magnetizing and torque components of stator current must be decoupled suitably respective to the rotor flux vector .

以感应电机为核心的交流拖动系统为了获得电机的高动态特性，对应于转子磁链向量的定子电流的两个分量励磁分量和转矩分量必须进行合适的解耦合。

The application of BP nerval network to failure diagnosis of hydraulic systems in construction machinery is studied. Through collection of the system data, derivation of eigenvectors and structure of classifiers, a learning algorithm is established on the basis of network training. Tests show that satisfactory results can be obtained by the nerval network.

将BP神经网络理论应用于工程机械液压系统故障诊断中进行研究，通过系统数据的采集、特征向量的提取和分类器的构造，在对网络进行训练的基础上，建立了学习算法，通过试验可以看出神经网络能给出的满意结果。

Following from the results of sensitivity analysis of standard eigenvalue problems,the differentiability of semisimple multiple eigenvalues of nonsymmetric generalized eigenvalue problems is proved,and the derivatives of semisimple multiple eigenvalues and the series expansions of the corresponding eigenvectors are obtained.

以标准特征值问题灵敏度分析的有关结论为基础，证明了单参数非对称广义特征值问题半单重特征值的可微性，给出了特征值导数的表达式和特征向量的级数展开式。以所得结论为基础，定义了广义特征值问题半单重特征值的灵敏度，给出了确定矩阵对中敏感元素的方法

After analysis and study on email, by disperseing and charactering email, my paper use vector to express email. And then bring forward a determination tree classifying model base on information entropy. At last I do a series of experiment and testing.

本文通过对电子邮件的分析和研究，提出对邮件结构字段信息和邮件正文信息加以离散和特征化处理，用向量的方式表示电子邮件；接着针对向量化的邮件表示，建立了一种基于信息熵的决策树邮件分类识别模型；论文最后通过编程对该模型作了一系列的实验和测试。

In contrast to conventional optimization algorithms whose iterates are computed and analyzed deterministically, randomized methods rely on stochastic processes and random number/vector generation as part of the algorithm and/or its analysis.

传统的最优化算法中迭代的计算和分析是确定的，与之相比，随机方法依靠随机过程和随机数字/向量的生成作为算法和算法分析的一部分。

But, such a vectorization will bring three potential problems at least:① Some implicit structural or contextual information may be corrupted;②the higher the dimension of input pattern, the more space are needed for storing weight vector;③When the dimension of pattern is very high and the sample size is small, linear classifier tends to be overstrained.

但如此至少会带来3个不足：①原有矩阵模式的空间或结构信息可能会遭到破坏；②由于权向量的维数等于输入模式的维数，当输入模式维数很大时，权值的存储空间相应地会很大；③对于大维数的模式，当样本数不多时，利用线性分类器易导致过拟合。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。