Results 291 to 300 of about 3,174,276 (316)
A graph model for scene based image analysis and classification using epipolar geometry
, 2005 Sivabalan Muthukumar
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Japanese Journal of Mathematics, 2021
SummaryStatistical inference is constructed upon a statistical model consisting of a parameterised family of probability distributions, which forms a manifold. It is important to study the geometry of the manifold. It was Professor C. R. Rao who initiated information geometry in his monumental paper published in 1945.
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SummaryStatistical inference is constructed upon a statistical model consisting of a parameterised family of probability distributions, which forms a manifold. It is important to study the geometry of the manifold. It was Professor C. R. Rao who initiated information geometry in his monumental paper published in 1945.
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Journal of Mathematical Sciences, 2002
The authors present a survey of Riemannian geometry that sketches the main developments in that subject through about 1985; no bibliographic references after that date exist. They begin with historical remarks and brief descriptions of the contributions of Lobachevski, Gauss, Riemann, F. Klein, E. Cartan, Ricci and Levi-Civita.
Trofimov, V. V., Fomenko, A. T.
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The authors present a survey of Riemannian geometry that sketches the main developments in that subject through about 1985; no bibliographic references after that date exist. They begin with historical remarks and brief descriptions of the contributions of Lobachevski, Gauss, Riemann, F. Klein, E. Cartan, Ricci and Levi-Civita.
Trofimov, V. V., Fomenko, A. T.
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Algebraic Geometry versus Kähler geometry
Milan Journal of Mathematics, 2010In this nicely written survey article, the author gives a detailed account of her work on Hodge theory of compact Kähler manifolds with a particular emphasis on the case of complex projective varieties. The special features of Hodge theory on algebraic varieties are investigated along two guidelines: the existence of a gap between the topology of ...
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Orthogonal geometry, metric geometry and ordinary geometry
1994In Desarguesian (plane) geometry which takes Hilbert’s axioms of incidence H I, (sharper) axiom of parallels HIV, the axiom of infinity D∞ and Desargues’ axioms D as its basis, one can uniquely determine a Desarguesian number system N, called a geometry-associated Desarguesian number system, as has been exhibited in the previous sections.
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