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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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Some Multifaceted Aspects of Mathematical Physics, Our Common Denominator with Elliott Lieb †
Mathematical physics has many facets, of which we shall briefly give a (very partial) description, centered around those of main interest for Elliott and us (Moshe Flato and I), and around the seminal scientific and personal interactions that developed ...
Daniel Sternheimer
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Multi-term time-fractional partial differential equations (PDEs) have become a hot topic in the field of mathematical physics and are used to improve the modeling accuracy in the description of anomalous diffusion processes compared to the single-term ...
Jun-Feng Li+6 more
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Mathematical languages shape our understanding of time in physics [PDF]
Physics is formulated in terms of timeless, axiomatic mathematics. A formulation on the basis of intuitionist mathematics, built on time-evolving processes, would offer a perspective that is closer to our experience of physical reality.
N. Gisin
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Vieta–Lucas polynomials for solving a fractional-order mathematical physics model
In this article, a fractional-order mathematical physics model, advection–dispersion equation (FADE), will be solved numerically through a new approximative technique. Shifted Vieta–Lucas orthogonal polynomials will be considered as the main base for the
P. Agarwal, A. A. El-Sayed
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The world of mathematics is often considered abstract, with its symbols, concepts, and topics appearing unrelated to physical objects. However, it is important to recognize that the development of mathematics is fundamentally influenced by a basic fact: mathematicians and computers are physical objects subject to the laws of physics.
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Homogenization: In mathematics or physics?
Homogenization appeared more than 100 years ago. It is an approach to study the macro-behavior of a medium by its micro-properties. In mathematics, homogenization theory considers the limitations of the sequences of the problems and its solutions when a parameter tends to zero.
Xu, S, Yue, X, Zhang, C
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Reciprocal Transformations in Relativistic Gasdynamics. Lie Group Connections [PDF]
Reciprocal transformations associated with admitted conservation laws were originally used to derive invariance properties in non-relativistic gasdynamics and applied to obtain reduction to tractable canonical forms.
Sergey V. Meleshko, Colin Rogers
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Exact wave solutions to the simplified modified Camassa-Holm equation in mathematical physics
In this article, we consider the exact solutions to the simplified modified Camassa-Holm (SMCH) equation which has many potential applications in mathematical physics and engineering sciences.
Md. Nurul Islam+2 more
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