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Space of spaces as a metric space [PDF]
In spacetime physics, we frequently need to consider a set of all spaces (`universes') as a whole. In particular, the concept of `closeness' between spaces is essential. However, there has been no established mathematical theory so far which deals with a
Seriu, Masafumi
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THE MATHEMATICS OF ELEMENTARY PHYSICS [PDF]
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Students' Perceptions of Mathematical Physics E-Module on Multiple Integral Material
Mathematical physics is often considered a very difficult subject to study, one of the reasons that makes this happen is the lack of learning media that supports students. In addition, most of the existing media are in foreign languages, so in this case
Astalini Astalini +3 more
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Using Spreadsheet Modeling in Basic Physics Laboratory Practice for Physics Education Curriculum
Physics is one of a branch of science which uses much of mathematical concept. Usually, the concept of physics is expressed in a mathematical equation; it will make physics easier to be understood.
Ahmad Fauzi +3 more
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“Computational Mathematics and Mathematical Physics”—Editorial I (2021–2023)
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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Physics and Mathematics of Calogero particles [PDF]
We give a review of the mathematical and physical properties of the celebrated family of Calogero-like models and related spin chains.Comment: Version to appear in Special Issue of Journal of Physics A: Mathematical and ...
Abanov A G +23 more
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Understanding student use of differentials in physics integration problems
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
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High-Precision Arithmetic in Mathematical Physics
For many scientific calculations, particularly those involving empirical data, IEEE 32-bit floating-point arithmetic produces results of sufficient accuracy, while for other applications IEEE 64-bit floating-point is more appropriate.
David H. Bailey, Jonathan M. Borwein
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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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Orthogonal Polynomials in Mathematical Physics
This is a review of ($q$-)hypergeometric orthogonal polynomials and their relation to representation theory of quantum groups, to matrix models, to integrable theory, and to knot theory.
Chan, Chuan-Tsung +3 more
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