等价变换

Additionally, we propose an algebraic diagonalization method which is equivalent to Bogoliubov-Valatin transformation in a sense.

此外，我们介绍了一种新的对角化方法——代数对角化，它在一定程度上等价于Bogoliubov变换。

The book is structured so that the reader may choose parts of the text to read and still take away a completed picture of some area of differential geometry Beginning at the introductory level with curves in Euclidean space, the sections become more challenging, arriving finally at the advanced topics which form the greatest part of the book:transformation groups, the geometry of differential equations,geometric structures, the equivalence problem the geometry of elliptic operators, G-structures and contact geometry.

这本书是结构，以便读者可以选择部分文本阅读，还带了一个完整的画面，有些地区的微分几何开始入门级和曲线的部分，在欧氏空间变得更有挑战性，终于到达了高级的主题，形成了最大的一部分书：变换团体、几何的微分方程、几何结构、等价问题的几何形状，G-structures椭圆算子和接触几何。

Results The equivalent matrix equation is derived by the matrix transformation method.The parameter iterative algorithm and the sufficient and necessary conditions for the convergence are given.

结果基于矩阵变换方法导出了矩阵方程的等价形式，并构造出参数迭代格式，得到了格式收敛的充要条件。

One of the important questions in quantum information theory is how to judge whether two mixed states are equivalent under LUT.

对于给定的两个混合态，如何判定其在局域幺正变换下的等价性是量子信息理论的重要问题之一。

Based on the equivalent transformation from fuzzy possibility distribution to random probability density distribution, the fuzzy random failure probability calculation can be formulated easily, and a First Order and Second Moment method for fuzzy - random analysis is established.

提出了模糊随机可靠性分析的近似解析和数字模拟综合方法，基于模糊变量的等价随机化变换，可以方便地得到模糊随机失效概率的计算公式，并建立了模糊随机可靠性分析的一次二阶矩法。

We analyse the Lewy theorem and the provement idea of the theorem, and find the equation (7)and (8)are not equivalent under the reversible transformation, this lead to the absurdity in the provement does not come into existence .

分析Lewy定理及定理的证明思想，发现在证明中所述的可逆变换下，方程（7）与（8）并不等价，导致Lewy定理证明中归谬不成立。

First,basing on the equivalence betweenthe AKNS hierarchy and the cKP hierarchy with k=1,we establish a unifiedframe to solve AKNS hierarchy by two types of gauge transformation.

第一，基于AKNS系列与k＝1的约束KP系列的等价性，我们建立一个用两种类型规范变换求解AKNS系列的统一框架。

On the infinite matrix transformations and convergence,first,it presents an equiva-lent form of the famous Antosik-Mikusinski basic matrix theorem.

在无穷矩阵变换与收敛方面，首先指出著名的Antosik-Mikusinski基本矩阵定理的一个等价形式。

Then linear control technique is applied to the linear subsystem of the transformed equivalent systems to design the controller, thus a nonlinear controller of the original chaotic systems is obtained, which is proved to be exponentially stable.

然后利用线性控制方法对变换后的等价系统中的线性子系统进行了控制器设计，由此设计出原混沌系统的非线性控制器，并证明其具有指数稳定性。

Using a method of algebraic transformation such as power series expansion, it is found that, three crop water production functions, the Jensen mold, Rao model and Stewart model, are transformable mutually, and their water sensitive indices are approximately equivalent.

通过幂级数展开等代数变换发现，3种作物水分生产函数Jensen模型、Rao模型和Stewart模型可以近似相互转化，其各自水分敏感指数近似等价。

Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势，并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。