نتایج جستجو برای: analytic hyperbolic geometry

تعداد نتایج: 235424  

Journal: :Annales de la faculté des sciences de Toulouse Mathématiques 2018

Journal: :Advances in Theoretical and Mathematical Physics 2016

Journal: :Advances in Mathematics 2022

Motivated by problems of hyperbolic stochastic geometry we introduce and study the class beta-star polytopes. A polytope is defined as convex hull an inhomogeneous Poisson processes on complement unit ball in Rd with density proportional to (‖x‖2−1)−β, where ‖x‖>1 β>d/2. Explicit formulas for various geometric combinatorial functionals associated polytopes are provided, including expected numbe...

2010
Abraham A. Ungar

Some gyrocommutative gyrogroups, also known as Bruck loops or K-loops, admit scalar multiplication, turning themselves into gyrovector spaces. The latter, in turn, form the setting for hyperbolic geometry just as vector spaces form the setting for Euclidean geometry. In classical mechanics the centroid of a triangle in velocity space is the velocity of the center of momentum of three massive ob...

Journal: :European Journal of Combinatorics 2007

Journal: :Proceedings of the American Mathematical Society 1966

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