Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Pierre BOREL"'
Autor:
Jean-Pierre BOREL
Publikováno v:
Les journées de l'interdisciplinarité.
L’université de Limoges a ouvert en septembre 2021, dans le cadre d’un programme national, une formation, portée par la Faculté des Sciences et Techniques et en collaboration avec le lycée Turgot de Limoges, pour une meilleure formation des f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::99de5f4b37a2c2219f38b846cf2082ad
https://doi.org/10.25965/lji.678
https://doi.org/10.25965/lji.678
Autor:
Jean-Pierre Borel
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol 9, Iss 2 (2007)
Many results are already known, concerning the palindromic factors and the palindomic prefixes of Standard billiard words, i.e., Sturmian words and billiard words in any dimension, starting at the origin. We give new geometrical proofs of these resul
Externí odkaz:
https://doaj.org/article/20359b06ac8548fe853b86f697692f77
Autor:
Jean-Pierre Borel
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol Vol. 9 no. 2 (2007)
Many results are already known, concerning the palindromic factors and the palindomic prefixes of Standard billiard words, i.e., Sturmian words and billiard words in any dimension, starting at the origin. We give new geometrical proofs of these resul
Externí odkaz:
https://doaj.org/article/02aec6148ff347198ac1d6e025ba22df
Autor:
Jean-Pierre Borel
Publikováno v:
RAIRO - Theoretical Informatics and Applications. 51:169-180
We introduce unusual methods for the digitization process of a line. A square pixel of the computer screen is blackened when the line crosses a special part of this pixel, called the active pixel. The shape of this active pixel is discussed, in the f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c100efd64def625eac6c9d1589d5b80c
https://doi.org/10.1051/ita/2017016
https://doi.org/10.1051/ita/2017016
Autor:
Jean-Pierre Borel
Publikováno v:
Lecture Notes in Computer Science ISBN: 9783319663951
WORDS
WORDS
We present various ways of representing a segment in blacking or not some pixels on a computer screen. These methods include well-known classical cases, such as the one proposed by Bresenham, or the concept of Cutting Sequence. Our method relies on t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6d95bc3deb02bfa01d82dacf1434af68
https://doi.org/10.1007/978-3-319-66396-8_17
https://doi.org/10.1007/978-3-319-66396-8_17
Autor:
Jean-Pierre Borel
Publikováno v:
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 325:239-242
Rational and irrational positive numbers can be represented by Christoffel words. The aim of this Note is to propose methods which realize some classical operations on real numbers, using their representation by Christoffel words: linear fractional i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f967d7a9f3678985a42544df80e5c4b0
https://doi.org/10.1016/s0764-4442(97)83947-x
https://doi.org/10.1016/s0764-4442(97)83947-x
Autor:
Jean-Pierre Borel
Publikováno v:
Theoretical Computer Science. 123:61-87
Let D∗N(U) be the star-discrepancy of a sequence U in the unit interval. “Self-similar sequences” U are known for having a good discrepancy, i.e. L(U) := lim sup N D∗N(U)/ln N is finite, under some assumptions. We show in this paper that well
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5a7de3d8e0e152c21c842476fc1bd68c
https://doi.org/10.1016/0304-3975(94)90069-8
https://doi.org/10.1016/0304-3975(94)90069-8
Autor:
Jean-Pierre Borel, François Laubie
Publikováno v:
Journal de Théorie des Nombres de Bordeaux. 5:23-51
© Universite Bordeaux 1, 1993, tous droits reserves. L’acces aux archives de la revue « Journal de Theorie des Nombres de Bordeaux » (http://jtnb.cedram.org/) implique l’accord avec les conditions generales d’utilisation (http://www.numdam.o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c48600586d692ee700bd709c2a6a8eb5
https://doi.org/10.5802/jtnb.77
https://doi.org/10.5802/jtnb.77
Autor:
Jean-Pierre Borel
Publikováno v:
Journal de Théorie des Nombres de Bordeaux. 5:235-261
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4e84bfef390ccc57d5929ace1911d457
https://doi.org/10.5802/jtnb.92
https://doi.org/10.5802/jtnb.92