Results 41 to 50 of about 1,384,853 (279)
A New Hyperbolic Area Formula of a Hyperbolic Triangle and Its Applications
Journal of Mathematics, 2014 We study some characterizations of hyperbolic geometry in the Poincaré disk. We first obtain the hyperbolic area and length formula of Euclidean disk and a circle represented by its Euclidean center and radius.
Hui Bao, Xingdi Chen
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Product set growth in groups and hyperbolic geometry [PDF]
Journal of Topology, 2018 Generalising results of Razborov and Safin, and answering a question of Button, we prove that for every hyperbolic group there exists a constant α>0 such that for every finite subset U that is not contained in a virtually cyclic subgroup |Un|⩾(α|U|)[(n+1)
T. Delzant, M. Steenbock
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An argument for hyperbolic geometry in neural circuits.
Current Opinion in Neurobiology, 2019 This review connects several lines of research to argue that hyperbolic geometry should be broadly applicable to neural circuits as well as other biological circuits.
T. Sharpee
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Hyperbolic geometry and closed bosonic string field theory. Part II. The rules for evaluating the quantum BV master action [PDF]
Journal of High Energy Physics, 2017 The quantum Batalian-Vilkovisky master action for closed string field theory consists of kinetic term and infinite number of interaction terms. The interaction strengths (coupling constants) are given by integrating the off-shell string measure over the ...
Seyed Faroogh Moosavian, Roji Pius
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Hyperbolic geometry of Kuramoto oscillator networks [PDF]
, 2017 Kuramoto oscillator networks have the special property that their trajectories are constrained to lie on the (at most) 3D orbits of the Möbius group acting on the state space TN (the N-fold torus).
Bolun Chen +2 more
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Invariant Surfaces under Hyperbolic Translations in Hyperbolic Space
Journal of Applied Mathematics, 2014 We consider hyperbolic rotation (G0), hyperbolic translation (G1), and horocyclic rotation (G2) groups in H3, which is called Minkowski model of hyperbolic space.
Mahmut Mak, Baki Karlığa
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Hyperbolic geometry and closed bosonic string field theory. Part I. The string vertices via hyperbolic Riemann surfaces [PDF]
Journal of High Energy Physics, 2017 The main geometric ingredient of the closed string field theory are the string vertices, the collections of string diagrams describing the elementary closed string interactions, satisfying the quantum Batalian-Vilkovisky master equation.
Seyed Faroogh Moosavian, Roji Pius
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Hyperbolic Unfoldings of Minimal Hypersurfaces
Analysis and Geometry in Metric Spaces, 2018 We study the intrinsic geometry of area minimizing hypersurfaces from a new point of view by relating this subject to quasiconformal geometry. Namely, for any such hypersurface H we define and construct a so-called S-structure.
Lohkamp Joachim
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Amazônia, 2014 The aim of this research was to study how the historical development of mathematics, with the backdrop of the evolution of geometry, can assist in the continuing education of mathematics’ teachers.
Wanderley Pivatto Brum
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Quantum simulation of hyperbolic space with circuit quantum electrodynamics: From graphs to geometry. [PDF]
Physical review. A, 2019 We show how quantum many-body systems on hyperbolic lattices with nearest-neighbor hopping and local interactions can be mapped onto quantum field theories in continuous negatively curved space.
I. Boettcher +4 more
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