Results 31 to 40 of about 3,794 (184)

Minkowski Functionals in Cosmology

Proceedings of the International School of Physics “Enrico Fermi”, 1995
Minkowski functionals provide a novel tool to characterize the large-scale galaxy distribution in the Universe. Here we give a brief tutorial on the basic features of these morphological measures and indicate their practical application for simulation data and galaxy redshift catalogues as examples.
Schmalzing J., Kerscher M., Buchert T.
openaire   +2 more sources

Orthogonal polynomials for Minkowski’s question mark function [PDF]

Journal of Computational and Applied Mathematics, 2015
Hermann Minkowski introduced a function in 1904 which maps quadratic irrational numbers to rational numbers and this function is now known as Minkowski's question mark function since Minkowski used the notation $?(x)$. This function is a distribution function on $[0,1]$ which defines a singular continuous measure with support $[0,1]$.
Zoé Dresse, Walter Van Assche
openaire   +3 more sources

Quantum Theory of Massless Particles in Stationary Axially Symmetric Spacetimes

Entropy, 2021
Quantum equations for massless particles of any spin are considered in stationary uncharged axially symmetric spacetimes. It is demonstrated that up to a normalization function, the angular wave function does not depend on the metric and practically is ...
Amnon Moalem, Alexander Gersten
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

An integer basis for celestial amplitudes

Journal of High Energy Physics, 2023
We present a discrete basis of solutions of the massless Klein-Gordon equation in 3 + 1 Minkowski space which transform as 𝔰𝔩(2, ℂ) Lorentz/conformal primaries and descendants, and whose elements all have integer conformal dimension.
Jordan Cotler, Noah Miller, Andrew Strominger   +2 more
doaj   +1 more source

Waveguide Photoactuators: Materials, Fabrication, and Applications

Advanced Robotics Research, EarlyView.
Waveguide photoactuators convert guided light into mechanical motion. Their tethered‐flexible design enables minimally invasive surgery and confined‐space robotics. This review aims to guide materials selection, device design, and system integration, accelerating the transition of waveguide photoactuators from laboratory prototypes to versatile ...
Minjie Xi, Hemin Pan, Yang Zong, Yongfeng Mei, Jizhai Cui   +4 more
wiley   +1 more source

A Linear Generalization of the Nearly Gorenstein Property, With Applications to Veronese Subalgebras

Mathematische Nachrichten, EarlyView.
ABSTRACT We study the nearly Gorenstein property for Veronese subalgebras of (semi‐)standard graded algebras. We introduce a condition (♮)$(\natural)$ for Cohen–Macaulay semi‐standard graded rings, motivated by the study of Ehrhart rings. We show that if a semi‐standard graded algebra R$ R$ satisfies (♮)$(\natural)$, then its Veronese subalgebras R(k)$
Sora Miyashita
wiley   +1 more source

Loop corrections in Minkowski spacetime away from equilibrium. Part II. Finite-time results

Journal of High Energy Physics, 2023
Loop corrections to finite-time correlation functions in quantum field theories away from equilibrium can be calculated using the in-in path integral approach.
Spasen Chaykov, Nishant Agarwal, Sina Bahrami, R. Holman   +3 more
doaj   +1 more source

Amenability Constants for Unconditional Sums of Banach Algebras

Mathematische Nachrichten, EarlyView.
ABSTRACT We study Johnson amenability for unconditional direct sums of Banach algebras. Given a family (Ai)i∈I$(A_i)_{i\in I}$ of Banach algebras and a Banach sequence lattice E$E$ on I$I$, the E$E$‐sum ⨁i∈IAiE${\bigl (\bigoplus _{i\in I} A_i\bigr)}_{\!E}$ carries a natural Banach algebra structure via coordinatewise multiplication.
Tomasz Kania, Jerzy Ka̧kol
wiley   +1 more source

Corrections to “A Hybrid Minkowski-Log-Cosh Loss Function for Robust LSTM-Based Time Series Forecasting”

IEEE Access
Presents corrections to the paper, (A Hybrid Minkowski-Log-Cosh Loss Function for Robust LSTM-Based Time Series Forecasting).
Kouyakou-Abalo Simsoba, Ngesa Oscar, Thomas Mageto   +2 more
doaj   +1 more source