Results 11 to 20 of about 5,204 (224)

A two-dimensional Minkowski ?(x) function

Journal of Number Theory, 2004
A function from a triangle to itself is defined that has both interesting number theoretic and analytic properties. This function is shown to be a natural generalization of the classical Minkowski ?(x) function.
Garrity, Thomas, Beaver, Olga R.
core   +3 more sources

Minkowski terminal cost functions for MPC

Automatica, 2012
This technical communique delivers a systematic procedure for obtaining a suitable terminal cost function for model predictive control based on Minkowski cost functions.
Lazar, M Mircea, Rakovic, S.V., Rakovic, SV, Lazar, M.   +3 more
core   +2 more sources

The derivative of the Minkowski function [PDF]

Izvestiya: Mathematics, 2021
Abstract We prove new results on the derivative of the Minkowski question mark function.
Gayfulin, D. R., Kan, I. D.
  +9 more sources

Minkowski function in packing problems

, 2010
Рассмотрена задача упаковки, которая состоит в наиболее рациональном размещении группы заданных предметов. Поскольку при моделировании размещения грузов, раскрое материала и подобных процессов возникает вопрос о непересечении предметов, предложен новый ...
Якунина, И.Л., Остапенко, В.В.   +1 more
core   +5 more sources

QuantImPy: Minkowski functionals and functions with Python

SoftwareX, 2021
The Minkowski functionals and functions are a family of morphological measures and can be used to describe both the morphology (shape) and topology (connectedness) of a system. This paper presents the QuantImPy Python package which can compute both the Minkowski functionals and functions.
Arnout M. P. Boelens, Hamdi A. Tchelepi
openaire   +2 more sources

Intent Arabic text categorisation based on different machine learning and term frequency

IET Networks, EarlyView., 2022
Abstract The complexity of Internet network configurations has made managing networks a complicated undertaking. Intent‐Based Networking (IBN) is a potential solution to this issue. In contrast to conventional networks, where a concrete description of the settings typically conveys a network administrator's goal kept on each device, an administrator's ...
Mohammad Fadhil Mahdi, Mahmoud Shuker Mahmoud   +1 more
wiley   +1 more source

Minkowski valuations on convex functions [PDF]

Calculus of Variations and Partial Differential Equations, 2017
A classification of SL$(n)$ contravariant Minkowski valuations on convex functions and a characterization of the projection body operator are established. The associated LYZ measure is characterized. In addition, a new SL$(n)$ covariant Minkowski valuation on convex functions is defined and characterized.
Andrea Colesanti, Monika Ludwig, Fabian Mussnig   +2 more
openaire   +4 more sources

A New Light on Minkowski's ?(x) Function [PDF]

Journal of Number Theory, 1998
The function \(?(x)\) was introduced by H. Minkowski via Farey fractions. Later R. Salem proved, that if \(x=[0;a_1,a_2,\dots]\) is the expansion of \(x\) as a regular continued fraction, then \[ ?(x)= 2^{1-a_1}- 2^{1-a_1-a_2}+ 2^{1-a_1- a_2-a_3} -\dots.
Pelegrí Viader, Jaume Paradís, Lluís Bibiloni   +2 more
openaire   +3 more sources

Minkowski box from Yangian bootstrap

Journal of High Energy Physics, 2021
We extend the recently developed Yangian bootstrap for Feynman integrals to Minkowski space, focusing on the case of the one-loop box integral. The space of Yangian invariants is spanned by the Bloch-Wigner function and its discontinuities.
Luke Corcoran, Florian Loebbert, Julian Miczajka, Matthias Staudacher   +3 more
doaj   +1 more source

Deforming a Convex Hypersurface by Anisotropic Curvature Flows

Advanced Nonlinear Studies, 2021
In this paper, we consider a fully nonlinear curvature flow of a convex hypersurface in the Euclidean 𝑛-space. This flow involves 𝑘-th elementary symmetric function for principal curvature radii and a function of support function.
Ju HongJie, Li BoYa, Liu YanNan
doaj   +1 more source