1、

Triangular grid is marked with a triangle of some attribute information collection, usually made by a complex three-dimensional scanner, which obtains the geometric information of the surface of sample points through the topological reconstruction.

三角网格是一个标有一些属性信息的三角形的集合,通常由三维扫描仪获取复杂表面采样点的几何信息,并通过拓扑重建得到。

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2、

Because limit cycle is an important topological feature, and more importantly, its occurrence is often accompanied by creation of bifurcations, detecting it is a indispensable condition of detecting bifurcation, studying chaos and unsteady process in complex time-dependent flow fields.

由于极限环是一个重要的拓扑特征且常伴随分岔的产生而出现,因此,对极限环的检出就成为检测分岔、进而研究复杂流场中混沌现象和不稳定过程的不可缺少的条件。

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3、

Roughly speaking, dynamical systems consist of differential dynamical system, topological dynamical system, infinite dimensional dynamical system, complex dynamical system and ergodic theory etc.

今天的动力系统大致可分为微分动力系统、拓扑动力系统、无穷维动力系统、复动力系统、遍历论等方向。

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4、

Methods: Firstly, a model of complex cell signaling transduction networks was constructed in terms of available cell signaling transduction pathways and the research data of the mechanisms of biochemical action among signaling molecules. Next, its topological structure properties were analyzed at several different levels.

方法:首先根据已知的细胞信号转导途径以及信号转导分子间的生化作用机制的研究结果,构建出复杂细胞信号转导网络模型,进而在此模型的基础上从不同的层次对其拓扑结构属性进行分析。

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