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Japanese journal of mathematics, 2021
Information geometry has emerged from the study of the invariant structure in families of probability distributions. This invariance uniquely determines a second-order symmetric tensor g and third-order symmetric tensor T in a manifold of probability ...
S. Amari
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Information geometry has emerged from the study of the invariant structure in families of probability distributions. This invariance uniquely determines a second-order symmetric tensor g and third-order symmetric tensor T in a manifold of probability ...
S. Amari
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Differential Geometry and Mathematical Physics [PDF]
The chapter will illustrate how concepts in differential geometry arise\ud naturally in different areas of mathematical physics. We will describe\ud manifolds, fibre bundles, (co)tangent bundles, metrics and symplectic\ud structures, and their applications to Lagrangian mechanics, field theory\ud and Hamiltonian systems, including various examples ...
Hone, Andrew N.W., Krusch, Steffen
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Differential Geometry and Mathematical Physics
John K. Beem, K. L. Duggal
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Graduate Studies in Mathematics, 2019
These are the notes accompanying the lectures on Spin Geometry, a PG course taught in Edinburgh in the Spring of 2010. The only requirement is a working familiarity with basic differential geometry and basic representation theory; although scholia on the
jr H. Blaine Lawson, M. Michelsohn
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These are the notes accompanying the lectures on Spin Geometry, a PG course taught in Edinburgh in the Spring of 2010. The only requirement is a working familiarity with basic differential geometry and basic representation theory; although scholia on the
jr H. Blaine Lawson, M. Michelsohn
semanticscholar +1 more source
Aspects of Complex Analysis, Differential Geometry, Mathematical Physics and Applications
Kouei Sekigawa, Stancho Dimiev
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A course in the modern mathematical physics: groups, Hilbert space and differential geometry
Peter Szekeres
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Elementary Differential Geometry
, 2010The link between the physical world and its visualization is geometry. This easy-to-read, generously illustrated textbook presents an elementary introduction to differential geometry with emphasis on geometric results.
Christian Bär
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Neural Networks, 2011
When an observer moves towards a square-wave grating display, a non-rigid distortion of the pattern occurs in which the stripes bulge and expand perpendicularly to their orientation; these effects reverse when the observer moves away. Such distortions present a new problem beyond the classical aperture problem faced by visual motion detectors, one we ...
Yazdanbakhsh, Arash, GORI, Simone
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When an observer moves towards a square-wave grating display, a non-rigid distortion of the pattern occurs in which the stripes bulge and expand perpendicularly to their orientation; these effects reverse when the observer moves away. Such distortions present a new problem beyond the classical aperture problem faced by visual motion detectors, one we ...
Yazdanbakhsh, Arash, GORI, Simone
openaire +4 more sources