Results 191 to 200 of about 120,740 (217)

4D sensor perception in relativistic image processing. [PDF]

Sci Rep
Müller S, Kranzlmüller D.
europepmc   +1 more source

Variation in high-amplitude events across the human lifespan. [PDF]

Netw Neurosci
Jo Y, Tanner J, Seguin C, Faskowitz J, Betzel RF.   +4 more
europepmc   +1 more source

Landmark vector cells in the absence of visual input. [PDF]

iScience
Puliyadi V, Jayakumar RP, Johnson JL, Tran TT, Deshmukh SS, Knierim JJ.   +5 more
europepmc   +1 more source

Analysis and Comparison of Natural Shear and Induced Tensile Fractures for Caprock Leakage Assessment. [PDF]

Transp Porous Media
Achuo Dze S, Phillips T, Najafi-Silab R, Perez S, Bultreys T, Novak V, Schlepütz CM, Cnudde V, Doster F, Singh K, Bisdom K, Busch A.   +11 more
europepmc   +1 more source

Non-euclidean geometry: The Gauss formula and an interpretation of partial differential equations

Journal of Mathematical Sciences, 1996
A number of problems related to a new geometrical approach to the interpretation of differential equations, which is based on regarding them as relations that are generated in some way by special coordinate nets on smooth two-dimensional manifolds with prescribed Gaussian curvature, are discussed.
Poznyak, E. G., Popov, A. G.
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Nonlinear partial differential equations on noncommutative Euclidean spaces

Journal of evolution equations (Printed ed.), 2023
Noncommutative Euclidean spaces—otherwise known as Moyal spaces or quantum Euclidean spaces—are a standard example of a non-compact noncommutative geometry.
Edward McDonald
semanticscholar   +1 more source

Geometry-Preserving Lie Group Integrators for Differential Equations on the Manifold of Symmetric Positive Definite Matrices

International Conference on Geometric Science of Information, 2022
In many applications, one encounters signals that lie on manifolds rather than a Euclidean space. In particular, covariance matrices are examples of ubiquitous mathematical objects that have a non Euclidean structure. The application of Euclidean methods
Lucas Drumetz, Alexandre Reiffers-Masson, Naoufal El Bekri, F. Vermet   +3 more
semanticscholar   +1 more source

Applying of the surface theory of non-Euclidean spaces to the solution of the Monge-Ampere equation of elliptic type

Uzbek Mathematical Journal
Solutions of many geometry problems in the whole are related to solutions of differential equations. A.D. Alexandrov’s problem of recovering a surface from a given extrinsic curvature function leads to the solution of the Dirichlet problem for the Monge ...
A. Artykbaev, G.N. Kholmurodova
semanticscholar   +1 more source

An Extrapolation Theorem in Non-Euclidean Geometries and its Application to Partial Differential Equations

Journal of Elliptic and Parabolic Equations, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Geometric Neural Operators (GNPs) for Data-Driven Deep Learning of Non-Euclidean Operators

arXiv.org
We introduce Geometric Neural Operators (GNPs) for accounting for geometric contributions in data-driven deep learning of operators. We show how GNPs can be used (i) to estimate geometric properties, such as the metric and curvatures, (ii) to approximate
Blaine Quackenbush, P. Atzberger
semanticscholar   +1 more source