Zobrazeno 1 - 10
of 75
pro vyhledávání: '"Puljiz, Mate"'
The Riviera model is a combinatorial model for a settlement along a coastline, introduced recently by the authors. Of most interest are the so-called jammed states, where no more houses can be built without violating the condition that every house ne
Externí odkaz:
http://arxiv.org/abs/2401.01225
In this article, we study the dynamic variant and the equilibrium variant of the model of Rydberg atoms on a square ladder. In the dynamic case, we obtain the jamming limit for all values of $b \ge 1$, where $b$ represents the so-called blockade rang
Externí odkaz:
http://arxiv.org/abs/2312.02747
Effective out-of-distribution (OOD) detection is crucial for reliable machine learning models, yet most current methods are limited in practical use due to requirements like access to training data or intervention in training. We present a novel meth
Externí odkaz:
http://arxiv.org/abs/2310.02832
In this article, we determine the complexity function (configurational entropy) of jammed configurations of Rydberg atoms on a one-dimensional lattice. Our method consists of providing asymptotics for the number of jammed configurations determined by
Externí odkaz:
http://arxiv.org/abs/2302.08791
We consider a one-dimensional variant of a recently introduced settlement planning problem in which houses can be built on finite portions of the rectangular integer lattice subject to certain requirements on the amount of insolation they receive. In
Externí odkaz:
http://arxiv.org/abs/2210.12411
Publikováno v:
In Discrete Applied Mathematics 30 October 2024 356:269-292
Recently, a combinatorial settlement planning model was introduced. The idea underlying the model is that the houses are randomly being built on a rectangular tract of land according to the specified rule until the maximal configuration is reached, t
Externí odkaz:
http://arxiv.org/abs/2107.09417
In this article, we consider a combinatorial settlement model on a rectangular grid where at least one side (east, south or west) of each house must be exposed to sunlight without obstructions. We are interested in maximal configurations, where no ad
Externí odkaz:
http://arxiv.org/abs/2107.07555
Publikováno v:
Applied Mathematics and Computation 410 (2021)
We derive a version of Lagrange's mean value theorem for quantum calculus. We disprove a version of Ostrowski inequality for quantum calculus appearing in the literature. We derive a correct statement and prove that our new inequality is sharp. We al
Externí odkaz:
http://arxiv.org/abs/2011.02960
Publikováno v:
AIMS Math. 6(2) (2021) 1880-1888
We disprove and correct some recently obtained results regarding Montgomery identity for quantum integral operator and Ostrowski type inequalities involving convex functions.
Comment: 5 pages
Comment: 5 pages
Externí odkaz:
http://arxiv.org/abs/2011.01266