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pro vyhledávání: '"Lucero, Jorge C."'
Autor:
Lucero, Jorge C.
This paper presents a simple mathematical model for the growth of the Christian population in the Roman Empire during the first to fourth centuries. The model has a subexponential growth rate of order $e^{o(t)}$, where $o$ denotes the "little-o" asym
Externí odkaz:
http://arxiv.org/abs/2111.08833
Autor:
Lucero, Jorge C.
Publikováno v:
Biophysical Reviews and Letters 17, 33-41, 2022
The subset selection problem of linear algebra is applied to identify independent patterns of COVID-19 evolution within Brazil. The data consist of a set of mortality curves in states of Brazil. A subset of the most independent curves is selected by
Externí odkaz:
http://arxiv.org/abs/2103.08794
Autor:
Lucero, Jorge C., Staworko, Sławek
Publikováno v:
Information Processing Letters 179, 106283, 2023
An F-system is a computational model that performs a folding operation on words of a given language, following directions coded on words of another given language. This paper considers the case in which both given languages are regular, and it shows
Externí odkaz:
http://arxiv.org/abs/2007.15705
Autor:
Lucero, Jorge C.
Publikováno v:
Natural Computing 20, 321-327, 2019
Geometric folding processes are ubiquitous in natural systems ranging from protein biochemistry to patterns of insect wings and leaves. In a previous study, a folding operation between strings of formal languages was introduced as a model of such pro
Externí odkaz:
http://arxiv.org/abs/1910.08518
Autor:
Lucero, Jorge C.
Publikováno v:
Forum Geometricorum 19 (2019) 45-52
This article analyses geometric constructions by origami when up to $n$ simultaneous folds may be done at each step. It shows that any arbitrary angle can be $m$-sected if the largest prime factor of $m$ is $p\le n+2$. Also, the regular $m$-gon can b
Externí odkaz:
http://arxiv.org/abs/1902.01649
Autor:
Lucero, Jorge C.
Publikováno v:
Crux Mathematicorum 44 (2018) 207-213
The regular hendecagon is the polygon with the smallest number of sides that cannot be constructed by single-fold operations of origami on a square sheet of paper. This article shows its construction by using an operation that requires two simultaneo
Externí odkaz:
http://arxiv.org/abs/1807.09557
Autor:
Lucero, Jorge C.
Publikováno v:
R. J. Lang, M. Bolitho and Z. You, editors. Origami7 - Proceedings from the 7th International Meeting on Origami in Science, Mathematics and Education, Volume 2: Mathematics (Tarquin, St Albans, UK), pp. 331-346, 2018
This paper considers an extension of origami geometry to the case of "folding" a three dimensional (3D) space along a plane. First, all possible incidence constraints between given points, lines and planes are analyzed by using the geometry of reflec
Externí odkaz:
http://arxiv.org/abs/1803.06224
Autor:
Lucero, Jorge C.
Publikováno v:
International Journal of Geometry 7 (2018) 61-68
This article shows how to find the solution of an arbitrary quintic equation by performing two simultaneous folds on a sheet of paper. The folds achieve specific incidences between a set of points and lines that are determined by the coefficients of
Externí odkaz:
http://arxiv.org/abs/1801.07460
Autor:
Lucero, Jorge C.
Publikováno v:
Forum Geometricorum 17 (2017) 207-221
This article reviews the so-called "axioms" of origami (paper folding), which are elementary single-fold operations to achieve incidences between points and lines in a sheet of paper. The geometry of reflections is applied, and exhaustive analysis of
Externí odkaz:
http://arxiv.org/abs/1610.09923
Publikováno v:
In Journal of Voice September 2023 37(5):804-804