Results 41 to 50 of about 2,039,102 (353)

Open-closed homotopy algebra in mathematical physics [PDF]

open access: yes, 2005
In this paper we discuss various aspects of open-closed homotopy algebras (OCHAs) presented in our previous paper, inspired by Zwiebach's open-closed string field theory, but that first paper concentrated on the mathematical aspects.
Boardman J. M.   +16 more
core   +2 more sources

Understanding student use of differentials in physics integration problems

open access: yesPhysical Review Special Topics. Physics Education Research, 2013
This study focuses on students’ use of the mathematical concept of differentials in physics problem solving. For instance, in electrostatics, students need to set up an integral to find the electric field due to a charged bar, an activity that involves ...
Dehui Hu, N. Sanjay Rebello
doaj   +1 more source

On the Mathematics of Coframe Formalism and Einstein–Cartan Theory—A Brief Review

open access: yesUniverse, 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
doaj   +1 more source

On analysis in differential algebras and modules [PDF]

open access: yes, 2018
A short introduction to the mathematical methods and technics of differential algebras and modules adapted to the problems of mathematical and theoretical physics is presented.
arxiv   +1 more source

Beyond digital twins: the role of foundation models in enhancing the interpretability of multiomics modalities in precision medicine

open access: yesFEBS Open Bio, EarlyView.
This review highlights how foundation models enhance predictive healthcare by integrating advanced digital twin modeling with multiomics and biomedical data. This approach supports disease management, risk assessment, and personalized medicine, with the goal of optimizing health outcomes through adaptive, interpretable digital simulations, accessible ...
Sakhaa Alsaedi   +2 more
wiley   +1 more source

Negative flows and non-autonomous reductions of the Volterra lattice [PDF]

open access: yesOpen Communications in Nonlinear Mathematical Physics
We 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
doaj   +1 more source

An approach for coherent periodogram averaging of tilt‐series data for improved contrast transfer function estimation

open access: yesFEBS Open Bio, EarlyView.
The contrast transfer function (CTF) is an imaging aberration that is a major resolution‐limiting factor in cryo‐electron microscopy (cryo‐EM). Precise CTF estimation is key to overcoming this limitation, but is particularly challenging in cryo‐electron tomography (cryo‐ET) data. Here, we present an approach for using geometric information to assist in
Sagar Khavnekar, William Wan
wiley   +1 more source

Soliton equations: admitted solutions and invariances via B\"acklund transformations [PDF]

open access: yesOpen Communications in Nonlinear Mathematical Physics
A 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
doaj   +1 more source

Algebraic curves as a source of separable multi-Hamiltonian systems [PDF]

open access: yesOpen Communications in Nonlinear Mathematical Physics
In 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
doaj   +1 more source

Wavelets in mathematical physics: q-oscillators

open access: yes, 2003
We construct representations of a q-oscillator algebra by operators on Fock space on positive matrices. They emerge from a multiresolution scaling construction used in wavelet analysis.
Anna Paolucci   +14 more
core   +1 more source

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