Results 21 to 30 of about 110,300 (317)
Hyperbolic geometrical optics: Hyperbolic glass
Journal of Mathematical Physics, 2006 We study the geometrical optics generated by a refractive index of the form n(x,y)=1∕y (y>0), where y is the coordinate of the vertical axis in an orthogonal reference frame in R2. We thus obtain what we call “hyperbolic geometrical optics” since the ray trajectories are geodesics in the Poincaré-Lobachevsky half-plane H2. Then we prove that the
De Micheli Enrico +2 more
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Frontiers in Behavioral Neuroscience, 2014 The tendency to make unhealthy choices is hypothesized to be related to an individual's temporal discount rate, the theoretical rate at which they devalue delayed rewards.
Giles eStory +5 more
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Measure-Expansive Homoclinic Classes for C1 Generic Flows
Mathematics, 2020 In this paper, we prove that for a generically C1 vector field X of a compact smooth manifold M, if a homoclinic class H(γ,X) which contains a hyperbolic closed orbit γ is measure expansive for X then H(γ,X) is hyperbolic.
Manseob Lee
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Asymptotic orbital shadowing property for diffeomorphisms
Open Mathematics, 2019 Let M be a closed smooth Riemannian manifold and let f : M → M be a diffeomorphism. We show that if f has the C1 robustly asymptotic orbital shadowing property then it is an Anosov diffeomorphism. Moreover, for a C1 generic diffeomorphism f, if f has the
Lee Manseob
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Сучасні інформаційні системи, 2022 The goal of the work. Development of methods for performing basic arithmetic operations with interval complex numbers, which are presented in hyperbolic form, their modulus and argument. Results.
Svitlana Gadetska +3 more
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Smoothness of holonomies for codimension 1 hyperbolic dynamics [PDF]
, 2002 Hyperbolic invariant sets {Lambda} of C1+{gamma} diffeomorphisms where either the stable or unstable leaves are 1-dimensional are considered in this paper.
A. A. Pinto +5 more
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Quantitative Cross-Cultural Similarities and Differences in Social Discounting for Gains and Losses
Frontiers in Public Health, 2019 Social discounting is when resource allocation decreases as social distance increases. Studies fitting different quantitative models to social discounting data have shown that a q-exponential function based on Tsallis' statistics best fits loss data ...
Sarah E. Stegall +4 more
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The Cosine Hyperbolic and Sine Hyperbolic Rules for Dual Hyperbolic Spherical Trigonometry [PDF]
Mathematical and Computational Applications, 2000 The dual hyperbolic unit sphere \(H_{0}^{2}\) is the set of all dual time-like units vectors in the dual Lorentzian space \(D_{1}^{3}\) with signature (+,+,-). In this paper, we give the cosine hyperbolic and sine hyperbolic-rules for a dual dual hyperbolic spherical triangle \(\tilde{A}\tilde{B}\tilde{C}\) which its sides are great-circle-arcs.
GÜNDOĞAN, HALİT +1 more
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Nanophotonics shines light on hyperbolic metamaterials
Light: Science & Applications, 2022 Hyperbolic metamaterials with a unique hyperbolic dispersion relation allow propagating waves with infinitely large wavevectors and a high density of states. Researchers from Korea and Singapore provide a comprehensive review of hyperbolic metamaterials,
Andreas Aigner +3 more
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Obesity and Hyperbolic Discounting: An Experimental Analysis
Journal of Agricultural and Resource Economics, 2012 Models of rational addiction suggest that obesity is consistent with time-consistent preferences. Behavioral economists maintain that addictions such as alcoholism, smoking and over-eating represent examples of present-bias in decision making that is ...
Timothy J. Richards, Stephen F. Hamilton
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