Results 171 to 180 of about 9,149 (217)

Ordinary and Stochastic Differential Geometry as a Tool for Mathematical Physics

1996
Introduction. 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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Mathematics of Spacetime: A Guided Tour Through The Underlying Differential Topology and Differential Geometry

Background in General Relativity (e.g. black holes, wormholes, or spacetime models in general) is needed to comprehend more recent efforts around understanding quantum phenomena like entanglement (e.g. >>It from qubit<< as well as >>ER = EPR<<).
Barzen, Johanna, Leymann, Frank
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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.
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Differential geometry and statistics: Some mathematical aspects

1987
The 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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Cognitive Structures of Differential Geometry and Their Implications on Undergraduate Mathematics Curriculum

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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Differential Geometry, Differential Equations, and Mathematical Physics

2021
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Differential Geometry and Mathematical Physics

2013
Gerd Rudolph, Matthias Schmidt
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Differential Geometry and Mathematical Physics

2017
Gerd Rudolph, Matthias Schmidt
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Frontiers in Differential Geometry, Partial Differential Equations and Mathematical Physics

2013
Molin Ge, Jiaxing Hong, Tatsien Li, Weiping Zhang   +3 more
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Mathematical models for cognitive systems using differential geometry and reinforcement learning

Journal of Interdisciplinary Mathematics
This 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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