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1)  linear transformation
线性变换
1.
On linear transformation and related results of matrix pade type approximation;
关于矩阵Padē—型逼近的一个线性变换及有关结果
2.
Derivation of Lorentz Transformation by Linear Transformation Method;
线性变换理论推导洛仓兹变换
2)  linear transform
线性变换
1.
Some properties of general linear transform;
广义线性变换的若干性质
2.
This paper discusses a method that facilitates the application of 3-D AVO methods in reservoir prediction through Zoeppritz equation linear transform.
通过对Zoeppritz方程作线性变换,可以使三维AVO方法便捷地应用于储层预测。
3.
The concept is introduced of the annihilating polynomial and minimal polynomial of vector with linear transform, their property discussed.
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。
3)  linear transformations
线性变换
1.
Furthermore,we also prove that equations like this must can be transformed into Bernoulli equation through suitable linear transformations.
根据一般二阶多项式自治系统可积的充要条件,对第一类阿贝尔方程给出了目前已知的几类可积方程的积分因子所具有的特征,并给出了当积分因子限制在其中一类特征时方程系数间的关系,然后进一步证明这类方程可经线性变换化成Bernoulli方程。
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" .
分别借助矩阵代数、线性空间、线性变换和λ-矩阵等四套相关理论用五种方法解答"高等代数"课程中的一个典型习题。
3.
This paper describes the matrix structure and geometric properties of planar linear transformations,based on homogeneous coordinates.
线性变换在线性代数教学中占有重要的地位。
4)  linear conversion
线性变换
1.
Using the linear conversion in the complex coordinate system, the distribution of the electric field inside a bias round-pole capacitor is discussed.
利用复数坐标系z平面的分式线性变换,讨论了偏心圆柱形电容器内的电场分布。
2.
It is a practical need applying linear conversion in digitized chart-making.
线性变换应用于数字化仪制图,是一种实际需要。
5)  linear substitution
线性变换
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.
对n维线性空间V上的幂等线性变换的性质进行了讨论,给出了n维线性空间V上的幂等线性变换的几个重要性质。
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.
利用线性空间上的线性变换,给出了复数域上矩阵的一种形式,并给出了这种分解形式的具体求法。
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.
运用未知函数的线性变换,获得三阶变系数线性齐次微分方程化为三阶常系数线性微分方程的一个充要条件。
6)  non-linear transformation
非线性变换
1.
Approximating statistics of stochastic variables after non-linear transformation with high-accuracy;
随机变量非线性变换统计性质的高精度逼近算法
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.
通过编码算法以及在混沌随机序列数字化的基础上引入一种新的非线性变换算法,以抵抗对混沌流密码系统的各种攻击。
补充资料:线性变换
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σka!!!X0505_1kaV的线性变换,平移则不是V的线性变换,若a1,…,anV的基,σaj)=a1ja1+…+anjj=1,2,…,n),则称!!!X0505_2σ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={aVσa)=θ}(式中θ指零向量)称为σ的核Imσ={σa)|!!!X0505_3aV}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〉=〈aσβ)〉。
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