1)  linear transformation

1.
On linear transformation and related results of matrix pade type approximation;

2.
Derivation of Lorentz Transformation by Linear Transformation Method;

2)  linear transform

1.
Some properties of general linear transform;

2.
This paper discusses a method that facilitates the application of 3-D AVO methods in reservoir prediction through Zoeppritz equation linear transform.

3.
The concept is introduced of the annihilating polynomial and minimal polynomial of vector with linear transform, their property discussed.

3)  linear transformations

1.
Furthermore,we also prove that equations like this must can be transformed into Bernoulli equation through suitable linear transformations.

2.
Respectively based on the theory of matrix algebras, linear spaces, linear transformations and λ-matrices, we give five methods to solve typical exercise in "Linear Algebra" .

3.
This paper describes the matrix structure and geometric properties of planar linear transformations,based on homogeneous coordinates.

4)  linear conversion

1.
Using the linear conversion in the complex coordinate system, the distribution of the electric field inside a bias round-pole capacitor is discussed.

2.
It is a practical need applying linear conversion in digitized chart-making.

5)  linear substitution

1.
Carried on the discussion to the nature of idempotent linear substitution in the N uygur linear space,given several important nature of idempotent linear substitution in N uygur linear space.

2.
Using the linear space in linear substitution, has given on the complex field the matrix one form, and gave this kind of decomposition form to ask the law specifically.

3.
In this paper, using the linear substitution of unknown function, obtains a nec-essary and sufficient condition for three order linear homogeneous differential equation with variable coefficients to be three order linear differential equation with constant coefficients.

6)  non-linear transformation

1.
Approximating statistics of stochastic variables after non-linear transformation with high-accuracy;

2.
Through encoding algorithm and on the basis of the numeralization of chaos random sequence,a new non-linear transformation algorithm is introduced in order to resist various attacks of the chaotic stream cipher system.

 线性变换linear transformation   线性代数研究的一个对象，向量空间到自身的保运算的映射。例如，对任意线性空间V，位似σk：aka是V的线性变换，平移则不是V的线性变换，若a1，…，an是V的基，σ（aj）＝a1ja1＋…＋anj（j＝1，2，…，n），则称为σ关于基｛a：｝的矩阵。对线性变换的讨论可藉助矩阵实现。σ关于不同基的矩阵是相似的。Kerσ＝｛a∈V｜σ（a）＝θ｝（式中θ指零向量）称为σ的核，Imσ＝｛σ（a）｜a∈V｝称为σ的象，是刻画σ的两个重要概念。   对于欧几里得空间，若σ关于标准正交基的矩阵是正交（对称）矩阵，则称σ为正交（对称）变换。正交变换具有保内积、保长、保角等性质，对称变换具有性质：〈σ(a)，β〉＝〈a，σ（β）〉。