Results 21 to 30 of about 2,039,102 (353)
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 Elements of Density Functional Theory [PDF]
We review some of the basic mathematical results about density functional theory.
arxiv +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
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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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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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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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Higher Topos Theory in Physics [PDF]
A brief exposition of the point of higher topos theory in (mathematical) physics, commissioned for the Encyclopedia of Mathematical Physics 2nd ed.
arxiv +1 more source
Point and counterpoint between Mathematical Physics and Physical Mathematics
In recent years there has been a resurgence of interest in problems dating back for over half a century. In particular we refer to the questions of the consistency of quantisation and nonlinear canonical transformations and the quantisation of higher-order field theories.
P. G. L. LEACH, NUCCI, Maria Clara
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