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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
core +2 more sources
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
Mathematical Elements of Density Functional Theory [PDF]
We review some of the basic mathematical results about density functional theory.
arxiv +1 more source
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
doaj +1 more source
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
semanticscholar +1 more source
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
doaj +1 more source
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
doaj +1 more source
p-Adic mathematical physics: the first 30 years [PDF]
p-Adic mathematical physics is a branch of modern mathematical physics based on the application of p-adic mathematical methods in modeling physical and related phenomena. It emerged in 1987 as a result of efforts to find a non-Archimedean approach to the
B. Dragovich+5 more
semanticscholar +1 more source
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
doaj +1 more source