查询词典 kernel of linear mapping

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。

In the fifth chapter, we propose the conditional generalized ridge-type estimator of regression coefficient in restricted linear regression model, and prove that it is superior to the restricted best linear unbiased estimator in terms of mean squares error and mean squares error matrix, we also give the choice of parameters matrix K.

第五章给出了约束线性回归模型中回归系数的条件广义岭估计，讨论了它的优良性，证明了它在均方误差及均方误差矩阵下都优于约束最小二乘估计，并给出了参数矩阵K的选择。

The algorithm combines bilinear and linear terms of I/O bilinear system, and constitutes an ARIMA model analogous to linear system.

针对一类输入-输出双线性系统，提出了一种双线性系统的广义预测控制算法。

The first part of this thesis is basic on the generalized Hamming weights of linear codes over rings and arranged as follows: In section one, we first introduced the definition of generalized Hamming weights and weight hierarchy over binary field GF (2) and its extension to nonlinear codes over GF (2) and linear codes over rings.

本文的第一部分就是围绕环上线性码的广义Hamming重量这个课题展开的，主要内容如下：第一节，首先介绍了GF(2)上线性码的广义Hamming重量和重量分级的概念，以及这些概念是如何被推广至非线性码及环上的线性码上的。

By transforming the interlace series type linear differential equation with coefficient containing binomial coefficients and arrangement number into the linear differential equation of successive integral,the theory and method for solving this kind of equation are determined.

通过把系数含有二项式系数与排列数的交错级数型线性微分方程化为可逐次积分的线性微分方程，找出了求这类方程通解的方法与理论，把所得定理给出了严格的证明，并通过实例介绍了它的应用。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。