不变性

The watermark is embedded in the Complex Wavelet Domain of Relative Coordinates Line.

该方法利用了Dual Tree复数小波变换的优点，比如近似的平移、旋转不变性，完美重构等，将水印嵌入相对坐标线的复数小波域中。

Based on the explicit formulation of matrices on the given linear manifold, the general expression of the solutions to this least squares problem is obtained by using the method of the singular value decomposition and the unitarily invariant of the Frobenius norm.

在推导出所给线性流形中任意矩阵的显式表达的基础上，利用奇异值分解和Frobenius范数的酉不变性得到了该最小二乘问题通解的一般表达式。

Based on Monte Carlo simulation of neutron penumbral imaging, the linear space invariance is researched.

在Monte Carlo方法模拟中子半影成像的基础上，对视场内点的空间线性不变性进行了研究。

Duality invariants theories are the core of functional analysis space theories, especially the core of locally convex space theories.

对偶不变性理论是泛函分析空间理论特别是局部凸空间理论的核心内容。

Therefore,the Lorentz Transformation is invalid and Einstein's special relativity theory,which is based on the Lorentz Transformation,is questionable.

另一方面，立足于普适的同时性的经典伽利略变换却能赋予电磁场方程和电磁波方程以不变性。

According to the unchangeness of linear mapping transformation of classification divergence,the feature information of geo-spatial data is extracted by K-L transformation.

根据类别分离度在线性映射变换下的不变性，用K－L变换进行地学空间数据的特征提取。

In chapter 4, the factorization and cascade decomposition for first order singular systems have been discussed, the if and only if conditions have been obtained, the invariaty of minimality under factoiization and cascade decomposition has been proved.

第四章，讨论了一阶奇异系统的因子分解和级联分解，给出了其具有上述分解的充要条件，证明了极小性在分解下的不变性；对具有一阶奇异系统实现的有理函数矩阵，给出了判定其为正实函数的充要条件，推广了著名的正实引理。

Meanwhile, it is also compared with statistical classifier and invariant moments recognition method.

比较结果说明：这种图象目标识别方法不仅具有旋转、平移及比例的不变性，而且还有好的容错性和Robust特性。

Local difference transform is invariant against any monotonic transformation of the gray scale.

局部差分变换具有灰度线性不变性，可消除光照变化对纹理分析的影响。

In the present paper,we investigate solvable radicals and Hopkins nilpotent radicals for Lie triple systems and prove that both radicals are invariant under actions of deriva- tions.

本文讨论李三系的可解根基和Hopking幂零的某些性质及导子作用下的不变性，讨论了李三系次理想的某些性质，证明了李三系为幂零的当且仅当每个子系都是次理想。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。