Results 241 to 250 of about 1,008,318 (283)
Some of the next articles are maybe not open access.
The Geometry of Hyperbolic Curvoids
Publications of the Research Institute for Mathematical Sciences, 2023The main purposes of the present paper are to introduce the notion of a hyperbolic curvoid and to study the geometry of hyperbolic curvoids. A hyperbolic curvoid is defined to be a certain profinite group and may be considered to be “group-theoretic abstraction” of the notion of a hyperbolic curve from the viewpoint of anabelian geometry.
openaire +1 more source
Combinatorica, 1983
The aim of the paper is to make geometers and combinatorialists familiar with old and new connections between the geometry of Lorentz space and combinatorics. Among the topics treated are equiangular lines and their relations to spherical 2-distance sets; spherical and hyperbolic root systems and their relation to graphs whose second largest eigenvalue
Arnold Neumaier, J. J. Seidel
openaire +3 more sources
The aim of the paper is to make geometers and combinatorialists familiar with old and new connections between the geometry of Lorentz space and combinatorics. Among the topics treated are equiangular lines and their relations to spherical 2-distance sets; spherical and hyperbolic root systems and their relation to graphs whose second largest eigenvalue
Arnold Neumaier, J. J. Seidel
openaire +3 more sources
Constructions In Hyperbolic Geometry
Canadian Journal of Mathematics, 1956Introduction. In hyperbolic geometry we have three compasses, namely an ordinary compass for drawing ordinary circles with a given centre and a given radius, a hypercompass for drawing hypercycles with a given axis and a given radius, and a horocompass for drawing horocycles with a given diameter and passing through a given point.
openaire +1 more source
Correction to “Axiomatizations of Hyperbolic Geometry”
Synthese, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Martingales in Hyperbolic Geometry
2014The famous De Moivre-Laplace theorem states the convergence toward a gaussian law of \(\sum\limits_{j=0}^{n-1}Y _{j}/\sqrt{n}\) when the Y i are independent, centered, identically distributed random variables in L 2. This result is usually named Central Limit Theorem (CLT). The convergence still holds in some non independent cases (Markov chains, α- or
openaire +2 more sources
On the Hyperbolic Unitary Geometry
Journal of Algebraic Combinatorics, 2010 Hans Cuypers (Preprint) describes a characterisation of the geometry on singular points and hyperbolic lines of a finite unitary space-the hyperbolic unitary geometry-using information about the planes.
Ralf Gramlich
exaly +2 more sources
, 2009 Exercises, exam questions and solutions for a fourth year hyperbolic geometry course.
openaire +2 more sources
Ptolemy’s Theorem in the Relativistic Model of Analytic Hyperbolic Geometry
Symmetry, 2023Abraham A. Ungar
exaly