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Framework for the natures of negativity in introductory physics [PDF]
Mathematical reasoning skills are a desired outcome of many introductory physics courses, particularly calculus-based physics courses. Novices can struggle to understand the many roles signed numbers play in physics contexts, and recent evidence shows ...
Suzanne White Brahmia +3 more
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Integrable Ito equations with multiple noises [PDF]
The classification of scalar Ito equations with a single noise source which admit a so called standard symmetry and hence are -- by the Kozlov construction -- integrable is by now complete.
Giuseppe Gaeta, Miguel Angel Rodriguez
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Symmetry of the isotropic Ornstein-Uhlenbeck process in a force field [PDF]
We classify simple symmetries for an Ornstein-Uhlenbeck process, describing a particle in an external force field $f(x)$. It turns out that for sufficiently regular (in a sense to be defined) forces there are nontrivial symmetries only if $f(x)$ is at ...
Giuseppe Gaeta
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Teaching students the equations of mathematical physics using educational electronic resources
Problem and goal. Currently, information and telecommunications technologies are widely used in the professional activities of most specialists in various subject areas.
Alexey S. Rusinov
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Experimental Mathematics and Mathematical Physics [PDF]
18 pages, 2 ...
Bailey, David H. +3 more
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The Correlation between Mathematics and Physics Achievement of Senior High School Students
Physics and mathematics are the two most closely related natural rudimentary subjects. In the study of physics, often need to rely on mathematical rigorous reasoning and argumentation and need to use a variety of mathematical methods for investigation ...
Chen Jihe +5 more
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Subfactors and mathematical physics
This paper surveys the long-standing connections and impact between Vaughan Jones’s theory of subfactors and various topics in mathematical physics, namely statistical mechanics, quantum field theory, quantum information, and two-dimensional conformal field theory.
Evans, David E., Kawahigashi, Yasuyuki
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Two nonlinear systems from mathematical physics [PDF]
The dissertation is divided into two chapters. In the first one, we consider the 2-Vortex problem for two point vortices in a complex domain. The Hamiltonian of the system contains the regular part of a hydrodynamic Greens function, the Robin function h
Bullock, Ben +3 more
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The formation of ionospheric physics – confluence of traditions and threads of continuity [PDF]
This paper examines how ionospheric physics emerged as a research speciality in Britain, Germany, and the United States in the first four decades of the 20th century. It argues that the formation of this discipline can be viewed as the confluence of four
A. Anduaga, A. Anduaga
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Expansions for eigenfunction and eigenvalues of large-$n$ Toeplitz matrices [PDF]
This paper constructs methods for finding convergent expansions for eigenvectors and eigenvalues of large-$n$ Toeplitz matrices based on a situation in which the analogous infinite-$n$ matrix would be singular. It builds upon work done by Dai, Geary, and
Leo P. Kadanoff
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