Results 31 to 40 of about 90,571 (200)

Special helices on equiform differential geometry of timelike curves in E_1^4

Cumhuriyet Science Journal, 2021
In this paper, we introduce the moving Frenet frame along the timelike curve in E_1^4 and then Frenet formulas with the equiform parameter in the equiform geometry of the Minkowski space-time.
Fatma Bulut
doaj  

Approximate solutions for set optimization with an order cone that has nonempty quasirelative interiors

Journal of Inequalities and Applications, 2022
In a real normed linear space, when the quasirelative interior is not empty, a class of order relation is introduced with Minkowski difference. Two classes of nonlinear functions are introduced, and their properties are discussed.
Pengxu Zhao, Yihong Xu, Bin Huang
doaj   +1 more source

On Minkowski’s singular function [PDF]

Proceedings of the American Mathematical Society, 1987
The function f on the closed unit interval I to be considered here was introduced by Minkowski. It maps the algebraic irrationalities of degree at most 2 continuously to the rationals in I. If z = a/b and z' = c/d are (reduced) fractions, then we write z * z' for the mediant (a + c)/(b + d) and z z' for the arithmetic mean. Let Q denote the (dense) set
openaire   +1 more source

Electrodynamics in noninertial frames

European Physical Journal C: Particles and Fields, 2021
The electromagnetic theory is considered in the framework of the generally covariant approach, that is applied to the analysis of electromagnetism in noninertial coordinate and frame systems.
Yuri N. Obukhov
doaj   +1 more source

Running coupling and fermion mass in strong coupling QED [PDF]

, 2004
Simple toy model is used in order to exhibit the technique of extracting the non-perturbative information about Green's functions in Minkowski space.
?auli V, Alkofer R Detmold W Fischer C S Maris P, Baker M, Ball J S, Bashir A, Bicudo P, Bloch J C R, Bloch J C R, Bogoliubov N N, Celmaster W, Collins J C, Curtis D C, Fischer C S Alkofer R, Hawes F T, Hawes F T, Hawes F T, Itzykson C, King S F, Kizilersu A, Kondo K, Kondo K, Landau L D, Maris P Roberts C D, Munczek H J, Vladimír auli   +24 more
core   +2 more sources

The Derivative of Minkowski's ?(x) Function

Journal of Mathematical Analysis and Applications, 2001
The Minkowski function \(?(x): [0,1]\to [0,1]\) is strictly increasing, continuous, and maps the rational numbers onto the dyadic rationals. \textit{R. Salem} has proved in 1943 [Trans. Am. Math. Soc. 53, 427--439 (1943; Zbl 0060.13709)] that if \(x\in[0,1]\) has a continued fraction expansion with unbounded partial quotients and if \(?'(x)\) exists ...
Paradı́s, J., Viader, P., Bibiloni, L.
openaire   +2 more sources

Minkowski functional description of microwave background Gaussianity [PDF]

New Astronomy, 1998
A Gaussian distribution of cosmic microwave background temperature fluctuations is a generic prediction of inflation. Upcoming high-resolution maps of the microwave background will allow detailed tests of Gaussianity down to small angular scales, providing a crucial test of inflation. We propose Minkowski functionals as a calculational tool for testing
Winitzki, Serge, Kosowsky, Arthur
openaire   +2 more sources

A holographic reduction of Minkowski space-time [PDF]

, 2003
Minkowski space can be sliced, outside the lightcone, in terms of Euclidean Anti-de Sitter and Lorentzian de Sitter slices. In this paper we investigate what happens when we apply holography to each slice separately. This yields a dual description living
't Hooft, Ashtekar, Balasubramanian, Balasubramanian, Beig, Beig, Bertola, Bertola, Bjorken, Bondi, Bousso, Bousso, Bros, Bros, Bros, Brown, Brown, de Haro, Fefferman, Gel'fand, Giddings, Gradshteyn, Gubser, Hawking, Henningson, Henningson, Imbimbo, Jan de Boer, Maldacena, Oberhettinger, Polchinski, Sergey N. Solodukhin, Skenderis, Solodukhin, Sommers, Spradlin, Strominger, Susskind, Witten, Witten   +39 more
core   +4 more sources

dS-AdS structures in the non-commutative Minkowski spaces

, 2004
We consider a family of non-commutative 4d Minkowski spaces with the signature (1,3) and two types of spaces with the signature (2,2). The Minkowski spaces are defined by the common reflection equation and differ in anti-involutions.
A. Jevicki, G. Gasper, J. A. Azcarraga de, J. A. Azcarraga de, J. Lukierski, L. L. Vaksman, M. A. Olshanetsky, M. A. Ol’shanetsky, M. R. Douglas, P. P. Kulish, P. P. Kulish, S. Kharchev, V. K. Dobrev, V.-B. K. Rogov   +13 more
core   +1 more source

Rationality of conformally invariant local correlation functions on compactified Minkowski space [PDF]

, 2000
Rationality of the Wightman functions is proven to follow from energy positivity, locality and a natural condition of global conformal invariance (GCI) in any number D of space-time dimensions.
Nikolov, Nikolay M., Todorov, Ivan T.
core   +4 more sources