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Isolated and dynamical horizons and their applications [PDF]
Over the past three decades, black holes have played an important role in quantum gravity, mathematical physics, numerical relativity and gravitational wave phenomenology.
A Ashtekar+165 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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Mathematical Tutorials in Introductory Physics [PDF]
Students in introductory calculus-based physics not only have difficulty understanding the fundamental physical concepts, they often have difficulty relating those concepts to the mathematics they have learned in math courses.
Redish, Edward F.+2 more
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Combinatorial Conversion and Moment Bisimulation for Stochastic Rewriting Systems [PDF]
We develop a novel method to analyze the dynamics of stochastic rewriting systems evolving over finitary adhesive, extensive categories. Our formalism is based on the so-called rule algebra framework and exhibits an intimate relationship between the ...
Nicolas Behr+2 more
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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
semanticscholar +1 more source
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
semanticscholar +1 more source
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
semanticscholar +1 more source
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.
openaire +2 more sources
Which Number System Is “Best” for Describing Empirical Reality?
Eugene Wigner’s much-discussed notion of the “unreasonable effectiveness of mathematics” as applied to describing the physics of empirical reality is simultaneously both trivial and profound. After all, the relevant mathematics was (in the first instance)
Matt Visser
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