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On the Dual Hyperbolic Numbers and the Complex Hyperbolic Numbers
Journal of Computer Science & Computational Mathematics, 2018Şahin, Serdal +2 more
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Hyperbolic Flows and Linking Numbers for Closed Orbits
Journal of the London Mathematical Society, 1986We consider a similar setting to that of Franks and consider how the linking numbers are related to the least periods of the closed orbits. In particular, we show that the ''chaotic'' behaviour of an axiom A flow means that although the appropriate linking numbers may vary erratically for individual closed orbits of progressively longer lengths we can ...
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A Generalized Face Number for Regular Hyperbolic Honeycombs
Geometriae Dedicata, 2000A generalized face number, typically taking negative rational values for a regular hyperbolic honeycomb, is constructed in three different ways -- via differential geometry, combinatorics, and divergent series.
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Hyperbolic metamaterials: fusing artificial structures to natural 2D materials
ELight, 2022Dasol Lee, Sunae So, Guangwei Hu
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Three Dimensional Homogeneous Hyperbolic Ricci Solitons
Journal of Nonlinear Mathematical Physics, 2022Hamed Faraji +2 more
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Hyperbolic Deep Neural Networks: A Survey
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2022Wei Peng, Henglin Shi, Guoying Zhao
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Automorphic Bloch theorems for hyperbolic lattices
Proceedings of the National Academy of Sciences of the United States of America, 2022Joseph Maciejko +2 more
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