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An Ordering of Convex Topological Relations
2012Topological relativity is a concept of interest in geographic information theory. One way of assessing the importance of topology in spatial reasoning is to analyze commonplace terms from natural language relative to conceptual neighborhood graphs, the alignment structures of choice for topological relations.
Matthew P. Dube, Max J. Egenhofer
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Topologically ordered competitive sampling
Neural Networks, 1994Abstract An important problem in nonparametric modeling is the selection of samples from an independent and identically distributed observation (IID) process such that the resulting sample ensemble forms a prototypical model of the observation process.
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First-order topological axioms
Journal of Symbolic Logic, 1981AbstractWe exhibit a finite list of first-order axioms which may be used to define topological spaces. For most separation axioms we discover a first-order equivalent statement.
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Higher‐Order Topological States in Thermal Diffusion
Advanced Materials, 2023Haotian Wu, Zhixia Xu, Baile Zhang
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Higher-Order Topological Corner State Tunneling in Twisted Bilayer Graphene
Carbon, 2021Moon Jip Park, Youngkuk Kim, Sungbin Lee
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Multi-dimensional wave steering with higher-order topological phononic crystal
Science Bulletin, 2021Changqing Xu, Ze-Guo Chen, Guancong
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