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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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Some of the next articles are maybe not open access.
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
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Differential geometry and statistics: Some mathematical aspects
1987The body of the paper consists of four sections. Throughout, M will denote a d-dimensional manifold and \(\tilde M\) will be a copy of M. In section 2 we consider a certain type of function g on \(M\times \tilde M\) which in a canonical way induces various geometrical structures on M, including a Riemannian metric and a one-parameter family of affine ...
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Ordinary and Stochastic Differential Geometry as a Tool for Mathematical Physics
1996Introduction. I. Elements of Coordinate-Free Differential Geometry. II. Introduction to Stochastic Analysis in Rn III. Stochastic Differential Equations on Manifolds. IV. Langevin's Equation in Geometric Form. V. Nelson's Stochastic Mechanics. VI. The Lagrangian Approach to Hydrodynamics.
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Connection between non-metric differential geometry and mathematical theory of imperfections
International Journal of Engineering Science, 1991zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Differential Geometry, Differential Equations, and Mathematical Physics
2021openaire +1 more source
Differential Geometry and Mathematical Physics
2013Gerd Rudolph, Matthias Schmidt
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2021
Based on similar studies using the FCI and CCI, this project aims to explore how effectively undergraduate courses prepare students for study in higher level mathematics courses. To investigate this, we choose to study the preparedness of Level III differential geometry students by developing and implementing a concept inventory that measures the ...
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Based on similar studies using the FCI and CCI, this project aims to explore how effectively undergraduate courses prepare students for study in higher level mathematics courses. To investigate this, we choose to study the preparedness of Level III differential geometry students by developing and implementing a concept inventory that measures the ...
openaire +1 more source

