用动力系统的方法自动生成具有模群对称的图形。
Symmetric patterns with the extended modular group are generated by dynamical systems.
从那时开始，人们发现量子群在很多领域都有着深刻的应用，范围遍及理论物理、辛几何、扭结理论与约化代数群的模表示理论等。
Since then they have found numerous and deep applications in areas ranging from theoretical physics, symplectic geometry, knot theory, and modular representations of reductive algebraic groups.
类似于群分次环和群分次模的定义，定义了部分半群分次环和部分半群分次模。
Similar to group graded rings and modules, partial semigroup graded rings and modules are defined.
得出多模波导脉冲畸变主要是模式不同的群延迟造成的。
It results that the pulse deformation is caused by group delay of different modes.
然后，我们将看到微分同胚群作用下的辛商为特殊子流形模空间上的以环面为结构群的丛。
And then we will see that in the framework of diffeomorphism group the symplectic quotient is torus bundle over the moduli space of special submanifold.
本课题基于小波理论设计软件算法，提出了模极值线群方法，抽取心电信号中若干具有临床价值的特征：QRS波群组态及其起点和终点、T波、S-T段。
In this paper, several characteristics of ECG from patients, such as QRS complex and its onset and offset T wave and S-T segment, has been detected using wavelet method.
对一般群分次环建立了弱分次周期根的概念，证明它是一个分次特殊根，给出了它的分次模刻划，讨论了它与自反周期根的关系。
The weakly graded periodic radical concept for general group graded rings is established, the fact that it is a graded special radical is proved and its graded module characterization is presented.
首先，研究了一种新的基于微粒群算法的模糊滑模控制方法。
Firstly, a new fuzzy sliding mode controller method is proposed for a class of nonlinear system based on PSO.
首先，研究了一种新的基于微粒群算法的模糊滑模控制方法。
Firstly, a new fuzzy sliding mode controller method is proposed for a class of nonlinear system based on PSO.
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