查询词典 ordered linear space

Automorphism group of a linear code is obtained with the help of the general linear group constructed by all invertible matrices, and it is illustrated by matrices generalized inverses.

给出了通过求解可逆矩阵构成的一般线性群，获得线性码的自同构群的方法，并利用矩阵广义逆理论，对线性码的自同构群进行进一步刻划。

Automorphism group of a linear code is obtained with the help of the general linear group constructed by all invertible matrices,and it is illustrated by matrices generalized inverses.

文 [1 ]给出了判断一个置换矩阵是否属于自同构群的充分必要条件，文 [4]在此基础上利用矩阵广义逆理论对自同构群进行研究得出了一些有用的结论。

The bridge loses balance and sensitive parts have a output signal,which will transform to related current signal after differential magnifying and conversion between current and voltage. Linear 4~20mADC standard signal is formed by compensation of magnifying and non-linear rectified ring circuit ,and second temperature compensation.

输出的电信号，经过差分放大，电压电流转换，变换成相应的电流信号，通过放大和非线性矫正环路的补偿，以及精密的二次温度补偿，产生与输入压力输成线性关系的4~20mADC 二次制标准信号。

The main theory results includes:(1) Using the properties of Hilbert transform, perfectly reconstruction and new type of lifting scheme, a new type of dual-tree binary coefficients complex wavelet with linear phase is achieved.(2) For linear systems that can be diagonalized by GFT and DST-II matrices, an efficient MGM method is proposed, convergence is proved.(3) We discuss the algebraic structure when Toeplitz matrix is transformed by multi-band wavelet,show that Toeplitz matrix is composed of generating function is transformed to a band and sparse matrix when wavelet applied to this matrix, based on the above results, an efficient solution of Toeplitz equations is obtained, and the computational complex is O,where N is the order of matrix.

理论成果主要包括：(1)对于对偶树二进制系数复数小波，利用Hilbert变换对性质、完全重构条件并结合新的提升格式构造研究了含参系数多进制小波构造方法，作为特例得到具有线性相位的对偶树二进制系数复数小波构造方法；(2)对于广义离散傅立叶变换与正弦变换对角化系统，提出了高效、快速的多重网格算法，理论上证明了算法的收敛性；(3)研究了Toeplitz矩阵在多进制小波变换下的代数结构，验证了多项式生成函数构成的Toeplitz系统在小波变换下的稀疏带宽性质，从而建立基于小波变换求解Toeplitz系统的快速求解方法，运算量级控制在O，其中N为系统的阶。

It was evidenced that the rolling-pass of the Mannesmann rolls is non-linear and the non-linear barrel-shaped rolls are unfavourable for further increasing the production capacity with high effeciency and improving the tube quality.

为了发展我国钢管制造技术，我们从1975年起研究折线轧辊下的变形区，给出它的曲面方程式和子午线方程式，证明了变形区是非线性的。

It describes the basic steps to make special project films with the non-linear editing system and issues to be noted as well as the trend in development of non-linear editing technique.

介绍了运用非线性编辑系统制作水电站工程专题片的基本步骤和需要注意的问题，以及非线性编辑技术的发展趋势。

In chapter 3, the linear approximate method of Bessel function for measuring nanometer vibration is studied. The error of linear approximate is analyzed and the theoretical measurement range of this method is given.

在此基础上，首次提出了一种双光路DSPI振动测量系统，利用退敏感光路使贝塞尔函数线性近似法的测量范围扩大了24倍，由近50nm增至1150nm。

The boundary element simulation method for the interaction of oblique linear waves with long prismatic floating ocean structures with arbitrary cross section is investigated by using the second kind modified Bessel function. The singular integral method in a constant or linear element and the open boundary treatment are proposed.

采用第二类变形Bessel函数对斜向线性入射波与任意截面形状的长棱柱型浮式海洋结构物的相互作用问题进行了边界元法模拟，给出了常数元和线性元的奇异积分处理方法以及开边界的处理方式。

When we make use of linear cryptanalysis method, finding the best linear approximation of the encrypting algorithm is very important.

在线性密码分析方法中，寻找加密算法的最佳线性逼近是很关键的一步。

For the linear model with aggregated data, this paper proposed one kinds of the relative efficiency of Peter-Karsten estimator compare to the best linear unbiased estimator.

对于聚集数据的线性模型，本文给出了Peter-Karsten估计相对于最佳线性无偏估计的一个相对效率，得到了相对效率的下界，讨论了该相对效率与广义相关系数的关系。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。