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Generalized finite sequence of fuzzy topographic topological mapping

机译:模糊拓扑拓扑映射的广义有限序列

摘要

Fuzzy Topographic Topological Mapping (FTTM) was developed to solve the neuromagnetic inverse problem. FTTM consisted of four topological spaces and connected by three homeomorphisms. FTTM 1 and FTTM 2 were developed to present 3-D view of an unbounded single current source and bounded multicurrent sources, respectively. FTTM 1 and FTTM 2 were homeomorphic and this homeomorphism will generate another 14 FTTM. We conjectured if there exist n elements of FTTM, then the numbers of new elements are n4-n. Approach: In this study, the conjecture was proven by viewing FTTMs as sequence and using its geometrical features. Results: In the process, several definitions were developed, geometrical and algebraic properties of FTTM were discovered
机译:开发了模糊拓扑拓扑映射(FTTM)来解决神经磁逆问题。 FTTM由四个拓扑空间组成,并通过三个同胚同构相连。开发了FTTM 1和FTTM 2来分别呈现无界单电流源和有界多电流源的3-D视图。 FTTM 1和FTTM 2是同胚的,这种同胚将生成另外14个FTTM。我们推测如果存在FTTM的n个元素,则新元素的数量为n4-n。方法:在这项研究中,通过将FTTM视为序列并使用其几何特征证明了这一猜想。结果:在此过程中,开发了几种定义,发现了FTTM的几何和代数性质

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