Results 211 to 220 of about 3,122,764 (234)
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Biosystems, 1990
Some structures are more suitable for self-organization through the Darwin-Wallace mechanism of variation and selection than others. Such evolutionary adaptability (or evolvability) can itself evolve through variation and selection, either by virtue of being associated with reliability and stability or by hitchhiking along with the advantageous traits ...
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Some structures are more suitable for self-organization through the Darwin-Wallace mechanism of variation and selection than others. Such evolutionary adaptability (or evolvability) can itself evolve through variation and selection, either by virtue of being associated with reliability and stability or by hitchhiking along with the advantageous traits ...
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Complex geometry and real geometry
Science in China Series A: Mathematics, 2005There is a well-known way to generalize the Riemann-Roch operator for Kahler manifold to that for Hermitian manifold. In this paper we show a slightly different way to get a generalized Riemann-Roch operator, which is just the Dirac operator. The difference between the two operators is that the latter one enables the so-called Pythagoras equalities.
Yanlin Yu, Lin Zhu, Xiuhong Feng
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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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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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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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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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2005
Geometry provides a whole range of views on the universe, serving as the inspiration, technical toolkit and ultimate goal for many branches of mathematics and physics. This book introduces the ideas of geometry, and includes a generous supply of simple explanations and examples.
Reid, M., Szendröi, B.
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Geometry provides a whole range of views on the universe, serving as the inspiration, technical toolkit and ultimate goal for many branches of mathematics and physics. This book introduces the ideas of geometry, and includes a generous supply of simple explanations and examples.
Reid, M., Szendröi, B.
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Symplectic geometry: The natural geometry of economics?
Economics Letters, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Journal of the Optical Society of America A, 1997
Shadows provide a strong source of information about the shapes of surfaces. We analyze the local geometric structure of shadow contours on piecewise smooth surfaces. Particular attention is paid to intrinsic shadows on a surface: that is, shadows created on a surface by the surface's own shape and placement relative to a light source. Intrinsic shadow
D C, Knill, P, Mamassian, D, Kersten
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Shadows provide a strong source of information about the shapes of surfaces. We analyze the local geometric structure of shadow contours on piecewise smooth surfaces. Particular attention is paid to intrinsic shadows on a surface: that is, shadows created on a surface by the surface's own shape and placement relative to a light source. Intrinsic shadow
D C, Knill, P, Mamassian, D, Kersten
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On the Geometry of Associativity
Semigroup Forum, 2007In this paper a geometric characterization of residuated semigroups is presented. But the aim is to develop a method for deciding associativity from the three-dimensional graph of an operation. To do this a geometric characterization of associativity is presented in the paper. This provides a deeper understanding of associativity, which turns out to be
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