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Connection between non-metric differential geometry and mathematical theory of imperfections
International Journal of Engineering Science, 1991 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuriy Povstenko
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Differential Geometry, Differential Equations, and Mathematical Physics
, 2021 Maria Ulan, Eivind Schneider
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Differential Geometry: Geometry in Mathematical Physics and Related Topics
, 1993 Robert Greene, ShingâTung Yau
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Perspectives of Complex Analysis, Differential Geometry and Mathematical Physics
, 2001 openaire +2 more sources
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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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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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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 ...
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Differential Geometry and Mathematical Physics
2017Gerd Rudolph, Matthias Schmidt
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Mathematical models for cognitive systems using differential geometry and reinforcement learning
Journal of Interdisciplinary MathematicsThis work presents a novel creative approach to describe cognitive systems by combining differential geometry with reinforcement learning. We propose a mathematical approach primarily based on geometric properties of facts manifolds to improve cognitive models studying functionality.
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