Results 231 to 240 of about 1,384,853 (279)
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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
Neumaier, A., Seidel, J.J.
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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
Neumaier, A., Seidel, J.J.
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Foundations of Hyperbolic Manifolds, 1994 Generalized Hyperbolic Geometries
2020In geometric function theory, invariance properties of metrics are important. In our work below, two notions of invariance are most important; invariance with respect to the group of Mobius transformations and invariance with respect to the group of similarity transformations.
Parisa Hariri +2 more
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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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1992
Although it arose from purely theoretical considerations of the underlying axioms of geometry, the work of Einstein and Dirac has demonstrated that hyperbolic geometry is a fundamental aspect of modern physics. In this book, the rich geometry of the hyperbolic plane is studied in detail, leading to the focal point of the book, Poincare's polygon ...
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Although it arose from purely theoretical considerations of the underlying axioms of geometry, the work of Einstein and Dirac has demonstrated that hyperbolic geometry is a fundamental aspect of modern physics. In this book, the rich geometry of the hyperbolic plane is studied in detail, leading to the focal point of the book, Poincare's polygon ...
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Elementary Hyperbolic Geometry
2018As a subset of the complex plane, the unit disk \(\mathbb {D}\) inherits the standard Euclidean metric $$\displaystyle d(z,w) :=|z-w|. $$
Stephan Ramon Garcia +2 more
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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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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
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