Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Zuzana Masáková"'
Autor:
Zuzana Masáková, Jan Mazáč
Publikováno v:
Acta Polytechnica, Vol 57, Iss 6, Pp 430-445 (2017)
Among the commonly used mathematical models of quasicrystals are Delone sets constructed using a cut-and-project scheme, the so-called cut-and-project sets. A cut-and-project scheme (L,π1, π2) is given by a lattice L in Rs and projections π1, π2
Externí odkaz:
https://doaj.org/article/3c3484eb3d2647b7a4fa05f3354d48f7
Publikováno v:
Acta Polytechnica, Vol 56, Iss 6, Pp 462-471 (2016)
We focus on a generalization of the three gap theorem well known in the framework of exchange of two intervals. For the case of three intervals, our main result provides an analogue of this result implying that there are at most 5 gaps. To derive thi
Externí odkaz:
https://doaj.org/article/d0464954876241ec9f1f5e8c163d331f
Autor:
Zuzana Masáková, Edita Pelantová
Publikováno v:
Acta Polytechnica, Vol 53, Iss 5 (2013)
We focus on the exchange T of two intervals with an irrational slope α. For a general subinterval I of the domain of T, the first return time to I takes three values. We describe the structure of the set of return itineraries to I. In particular, we
Externí odkaz:
https://doaj.org/article/cd084816a2e14e27be19aebd5d8a2b4b
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol Vol. 13 no. 3, Iss Graph Theory (2011)
Graph Theory
Externí odkaz:
https://doaj.org/article/9634ebf58ce44de798de67dae2e732da
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol 9, Iss 2 (2007)
We study properties of β-numeration systems, where β > 1 is the real root of the polynomial x 3 - mx 2 - x - 1, m ∈ ℕ, m ≥ 1. We consider arithmetic operations on the set of β-integers, i.e., on the set of numbers whose greedy expansion in b
Externí odkaz:
https://doaj.org/article/e4f6b2a8145f41b8be4bf47a396a7c84
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol 9, Iss 2 (2007)
A Parry number is a real number β >1 such that the Rényi β-expansion of 1 is finite or infinite eventually periodic. If this expansion is finite, β is said to be a simple Parry number. Remind that any Pisot number is a Parry number. In a previous
Externí odkaz:
https://doaj.org/article/c1f8c2aae205406e832c8410aa04e41b
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol 9, Iss 2 (2007)
We study the properties of the function R (m) (n) defined as the number of representations of an integer n as a sum of distinct m-Bonacci numbers F (m) k, given by F i (m) =2 i-1, for i∈ { 1, 2, …, m}, F k+m (m) =F k+m-1 (m) +F k+m-2 (m) + ⋯ +
Externí odkaz:
https://doaj.org/article/22dd75c437bc4efe9c443c4385886d90
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 5, p 075 (2009)
We investigate the use of quasicrystals in image sampling. Quasicrystals produce space-filling, non-periodic point sets that are uniformly discrete and relatively dense, thereby ensuring the sample sites are evenly spread out throughout the sampled i
Externí odkaz:
https://doaj.org/article/2e7dbafc84b044db85ff67dc3f079132
Publikováno v:
Journal of Number Theory. 249:470-499
The first aim of this article is to give information about the algebraic properties of alternate bases $\boldsymbol{\beta}=(\beta_0,\dots,\beta_{p-1})$ determining sofic systems. We show that a necessary condition is that the product $\delta=\prod_{i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a94015edf4f93c514706a845d671b54
https://doi.org/10.1016/j.jnt.2023.02.012
https://doi.org/10.1016/j.jnt.2023.02.012
Publikováno v:
Developments in Language Theory ISBN: 9783031332630
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::199cb1cce35d46e71a8eb72344d6f9f9
https://doi.org/10.1007/978-3-031-33264-7_16
https://doi.org/10.1007/978-3-031-33264-7_16
