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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.
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Correction to “Axiomatizations of Hyperbolic Geometry”
Synthese, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
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Ptolemy’s Theorem in the Relativistic Model of Analytic Hyperbolic Geometry
Symmetry, 2023Abraham A Ungar
exaly
The Hyperbolic Ptolemy’s Theorem in the Poincaré Ball Model of Analytic Hyperbolic Geometry
Symmetry, 2023Abraham A Ungar
exaly
Information geometry of hyperbolic-valued Boltzmann machines
Neurocomputing, 2021Masaki Kobayashi
exaly