Results 1 to 10 of about 1,987 (220)
Analytic embedding of pseudo-Helmholtz geometry [PDF]
, 2021 For modern geometry, the study of maximal mobility geometries is of great importance. Some of these geometries are well studied (Euclidean, pseudo-Euclidean, symplectic, spherical, Lobachevsky, etc.), and others are poorly understood (Helmholtz, pseudo ...
Kyrov, Vladimir A.
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The Hyperbolic Ptolemy’s Theorem in the Poincaré Ball Model of Analytic Hyperbolic Geometry
, 2023 Ptolemy’s theorem in Euclidean geometry, named after the Greek astronomer and mathematician Claudius Ptolemy, is well known. We translate Ptolemy’s theorem from analytic Euclidean geometry into the Poincaré ball model of analytic ...
Abraham A. Ungar
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Menelaus's theorem for hyperbolic quadrilaterals in the Einstein relativistic velocity model of hyperbolic geometry [PDF]
, 2010 Hyperbolic Geometry appeared in the first half of the 19th century as an attempt to understand Euclid's axiomatic basis of Geometry.
Barbu, Catalin
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Ptolemy’s Theorem in the Relativistic Model of Analytic Hyperbolic Geometry
, 2023 Ptolemy’s Theorem in Euclidean geometry, named after the Greek astronomer and mathematician Ptolemy, is well-known. By means of the relativistic model of hyperbolic geometry, we translate Ptolemy’s Theorem from Euclidean geometry into the ...
Abraham A. Ungar
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Euclidean algorithm and polynomial equations after Labatie [PDF]
, 2013 We recall Labatie's effective method of solving polynomial equations with two unknowns by using the Euclidean ...
Płoski, Arkadiusz +1 more
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Designing digital technologies and learning activities for different geometries
, 2009 This chapter focuses on digital technologies and geometry education, a combination of topics that provides a suitable avenue for analysing closely the issues and challenges involved in designing and utilizing digital technologies for learning mathematics.
Ian Stevenson +5 more
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The analytical method for embedding multidimensional pseudo-Euclidean geometries
Sibirskie Elektronnye Matematicheskie Izvestiya, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
The geometry of visual experience [PDF]
, 2007 In this thesis I examine what the geometry of visual experience is. This is a question which to some has had an a priori answer, and to some its relevance to philosophy has been considered questionable.
Meadows, Phillip
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Cohomology of D-complex manifolds
, 2012 In order to look for a well-behaved counterpart to Dolbeault cohomology in D-complex geometry, we study the de Rham cohomology of an almost D-complex manifold and its subgroups made up of the classes admitting invariant, respectively anti-invariant ...
Daniele Angella +4 more
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Insertion and deletion tolerance of point processes [PDF]
, 2013 We develop a theory of insertion and deletion tolerance for point processes. A process is insertion-tolerant if adding a suitably chosen random point results in a point process that is absolutely continuous in law with respect to the original process ...
Holroyd, Alexander E. +3 more
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