Results 41 to 50 of about 9,449 (213)
Generalized background-field method [PDF]
Physical Review D, 1997 The graphical method discussed previously can be used to create new gauges not reachable by the path-integral formalism. By this means a new gauge is designed for more efficient two-loop QCD calculations. It is related to but simpler than the ordinary background-field gauge, in that even the triple-gluon vertices for internal lines contain only four ...
Feng, Y. J., Lam, C. S.
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Some Generalizations of Ramanujan's Sum
, 1980 Ramanujan's well known trigonometrical sum C(m, n) denned bywhere x runs through a reduced residue system (mod n), had been shown to occur in analytic problems concerning modular functions of one variable, by Poincaré [4]. Ramanujan, independently later,
M. V. Subbarao, K. G. Ramanathan
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Fractional Mathieu Equation with Two Fractional Derivatives and Some Applications
Fractal and FractionalThe importance of this research comes from the several applications of the Mathieu equation and its generalizations in many scientific fields. Two models of fractional Mathieu equations are provided using Katugampola fractional derivatives in the sense ...
Ahmed Salem +2 more
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Teleparallel axions and cosmology
European Physical Journal C: Particles and Fields, 2021 We consider the most general teleparallel theory of gravity whose action is a linear combination of the five scalar invariants which are quadratic in the torsion tensor.
Manuel Hohmann, Christian Pfeifer
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Layers of generality and types of generalization in pattern activities [PDF]
, 2010 Pattern generalization is considered one of the prominent routes for in-troducing students to algebra. However, not all generalizations are al-gebraic. In the use of pattern generalization as a route to algebra, we —teachers and educators— thus have to ...
Radford, Luis
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, 2022 This work deals with the powers of elements of finite fields. The proof of the classical criterion of Euler for squares in finite fields of prime order is presented.
Bandžiulis, Kastytis,
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Generalizations in Practice: Investigating Generality and Specificity in Developmental Biology
, 2023 University of Minnesota Ph.D. dissertation. 2023. Major: Philosophy. Advisor: Alan Love. 1 computer file (PDF); xi, 146 pages.Although there is a consensus that pursuits of general knowledge are crucial in almost all fields of science, the majority of ...
Yoshida, Yoshinari
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Non-Abelian generalizations of the Hofstadter model: spin–orbit-coupled butterfly pairs
, 2020 © 2020, The Author(s). The Hofstadter model, well known for its fractal butterfly spectrum, describes two-dimensional electrons under a perpendicular magnetic field, which gives rise to the integer quantum Hall effect. Inspired by the real-space building
Zhen, Bo +4 more
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Visualizing High-Order Symmetric Tensor Field Structure with Differential Operators
Journal of Applied Mathematics, 2011 The challenge of tensor field visualization is to provide simple and comprehensible representations of data which vary both directionally and spatially. We explore the use of differential operators to extract features from tensor fields.
Tim McGraw +3 more
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Relativistic generalizations of gravity-induced localization models
, 2004 Nonunitary versions of Newtonian gravity leading to wavefunction localization admit natural special-relativistic generalizations. They include the first consistent relativistic localization models.
DE FILIPPO, Sergio +2 more
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