Results 61 to 70 of about 3,522,384 (358)
Negative flows and non-autonomous reductions of the Volterra lattice [PDF]
Open Communications in Nonlinear Mathematical PhysicsWe study reductions of the Volterra lattice corresponding to stationary equations for the additional, noncommutative subalgebra of symmetries. It is shown that, in the case of general position, such a reduction is equivalent to the stationary equation ...
V. E. Adler
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Spinocerebellar ataxias (SCAs) are a group of genetically heterogeneous neurodegenerative diseases causing progressive deterioration and reduced quality of life. Therapeutic advances have been limited by a lack of sensitive anatomic, functional, or diffusion imaging‐based biomarkers.
David J. Arpin +11 more
wiley +1 more source
Soliton equations: admitted solutions and invariances via B\"acklund transformations [PDF]
Open Communications in Nonlinear Mathematical PhysicsA couple of applications of B\"acklund transformations in the study of nonlinear evolution equations is here given. Specifically, we are concerned about third order nonlinear evolution equations.
Sandra Carillo, Cornelia Schiebold
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International Journal of Adaptive Control and Signal Processing, EarlyView.Summary Data‐driven forecasting of ship motions in waves is investigated through feedforward and recurrent neural networks as well as dynamic mode decomposition. The goal is to predict future ship motion variables based on past data collected on the field, using equation‐free approaches.
Matteo Diez +2 more
wiley +1 more source
Mathematical sense-making in quantum mechanics: An initial peek
Physical Review Physics Education Research, 2017 Mathematical sense-making—looking for coherence between the structure of the mathematical formalism and causal or functional relations in the world—is a core component of physics expertise.
Benjamin W. Dreyfus +3 more
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Algebraic curves as a source of separable multi-Hamiltonian systems [PDF]
Open Communications in Nonlinear Mathematical PhysicsIn this paper we systematically consider various ways of generating integrable and separable Hamiltonian systems in canonical and in non-canonical representations from algebraic curves on the plane.
Maciej Blaszak, Krzysztof Marciniak
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“Computational Mathematics and Mathematical Physics”—Editorial I (2021–2023)
Axioms, 2023 Based on the papers published in the Special Issue of the scientific journal Axioms, here we present the Editorial Article “Computational Mathematics and Mathematical Physics”, the main topics of which include both fundamental and applied research in ...
Hovik A. Matevossian +1 more
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Bridging Nature and Technology: A Perspective on Role of Machine Learning in Bioinspired Ceramics
Advanced Engineering Materials, EarlyView.Machine learning (ML) is revolutionizing the development of bioinspired ceramics. This article investigates how ML can be used to design new ceramic materials with exceptional performance, inspired by the structures found in nature. The research highlights how ML can predict material properties, optimize designs, and create advanced models to unlock a ...
Hamidreza Yazdani Sarvestani +2 more
wiley +1 more source
On the Mathematics of Coframe Formalism and Einstein–Cartan Theory—A Brief Review
Universe, 2019 This article is a review of what could be considered the basic mathematics of Einstein−Cartan theory. We discuss the formalism of principal bundles, principal connections, curvature forms, gauge fields, torsion form, and Bianchi identities, and ...
Manuel Tecchiolli
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Some beautiful equations of mathematical physics [PDF]
, 1994 The basic ideas and the important role of gauge principles in modern elementary particle physics are outlined. There are three theoretically consistent gauge principles in quantum field theory: the spin-1 gauge principle of electromagnetism and the ...
Freedman, Daniel Z.
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