New objects characterizing the structure of complex linear transformations are introduced.
本文引入表征复线性变换结构的新对象。
Linear transformations and linear operators, eigenvector expansion, matrices as representations of linear operators.
线性转换及线性运算子，特征值扩展，以矩阵表示线性运算子。
The subjects to be covered include groups, vector Spaces, linear transformations, symmetry groups, bilinear forms, and linear groups.
涵盖的主题包括群、向量空间、线性转换、对称群、双线性结构、线性群等。
This paper describes the matrix structure and geometric properties of planar linear transformations, based on homogeneous coordinates.
介绍了线性变换作用向量的化零多项式与最小多项式的概念，并讨论了它们的性质。
These transformations can linearize the data so that simple linear regression can be used to model the data.
这些转换可以使数据线性化，这样就可以使用简单线性回归来为数据建模。
When and how to use power, logorithmic, and other transformations to linearize the data so that simple linear regression can be used to model the data
何时以及如何使用幂、对数和其它转换来对数据进行线性化，以便用简单线性回归来对该数据建模
The nonlinear system as linear system in form is composed of multiplicative control and additive control items in bilinear system using coordinate transformations.
使用坐标变换，将双线性系统中的倍增控制项和叠加控制项重新组合成与线性系统有相同形式的非线性系统。
Two non—linear evolution equations are derived from the surfaces of negative constant Curvature, and equivalent transformations among solutions of these equations are given.
从负常曲率曲面导出了两个非线性演化方程，并给出了这些方程的解之间的等价变换。
By elementary rank transformations of matrix, a method has been obtained to solve linear diophantine equation with some variables. The method overcomes the deficiency of traditional method.
利用矩阵的初等列变换，给出了求解多元线性不定方程的一种方法，该方法改进了传统方法计算量大、步骤多的缺点。
Through suitable transformations, the solution of the simultaneous pole assignment problem is resort to the solution of a number of linear equations.
通过适当的变换，将同时极点配置问题归结为一系列线性方程组的求解问题。
The experimental results show that the linear expressing based approach for optimizing locality using non-singular loop transformations presented in this paper is effective.
实验结果表明了该文所提出的基于线性表出的非奇异循环变换局部性优化方法是有效的。
It is proved that only the transformations on linear operators' complementary subspace can be used to simplify high order normal form based on conventional normal form (CNF).
在传统规范形基础上，证明了只有线性算子值域补空间上的近恒同变换才能化简高阶规范形。
For infinite matrices of linear and some nonlinear mappings between topological vector spares which have not any restriction, we establish a new result of infinite matrix transformations.
讨论了抽象对偶系统中的向量值无穷矩阵变换，在一个所涉拓扑线性空间没有任何限制的情况下，得到了无穷矩阵变换理论的一个新结果。
The paper presents a new locality optimization approach using non-singular loop transformations to optimize programs' locality, namely linear expressing based loop transformations.
该文提出了一种新的利用非奇异循环变换来优化程序局部性的局部性优化方法，即基于线性表出的循环变换。
The transformations on semi-linear spaces, the matrices defined on quasi-domains and the relationship between them are investigated.
定义了拟域上的矩阵，并用以描述半线性空间之间的变换。
The transformations on semi-linear spaces, the matrices defined on quasi-domains and the relationship between them are investigated.
定义了拟域上的矩阵，并用以描述半线性空间之间的变换。
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