Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Alain Faisant"'
Publikováno v:
Mathematica Bohemica, Vol 141, Iss 4, Pp 483-494 (2016)
Let $\sum\limits_{n=1}^\infty a_n$ be a convergent series of positive real numbers. L. Olivier proved that if the sequence $(a_n)$ is non-increasing, then $\lim\limits_{n \to\infty} n a_n = 0$. In the present paper: (a) We formulate and prove a neces
Externí odkaz:
https://doaj.org/article/2df7e7362ad54653b0105790a3955eb8
This book is an introduction to graph theory, presenting most of its elementary and classical notions through an original and rigorous approach, including detailed proofs of most of the results. It covers all aspects of graph theory from an algebraic
In this article we build a linear representation starting from a multigraph; this allows us to give an algebraic view of the multi-graph we are studying. We show that two isomorphic multi-graphs give equivalent representations ; conversely two equiva
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::104a07833a385e47b5efc67bedec3839
https://doi.org/10.21203/rs.3.rs-2213289/v1
https://doi.org/10.21203/rs.3.rs-2213289/v1
Publikováno v:
Real Analysis Exchange. 47
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6e47c88bccd89c183c27b3ab8689f75f
https://doi.org/10.14321/realanalexch.47.2.1620100117
https://doi.org/10.14321/realanalexch.47.2.1620100117
{The first version of this text was written and submitted to a journal on April, 12, 2018. This second version was submitted on April, 9, 2019.} We investigate the existence of subsets $A$ and $B$ of $\mathbb{N}:=\{0,1,2,\dots\}$ such that the sumset
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d253e5c560afc28c445257903cf0d0d7
https://hal.archives-ouvertes.fr/hal-02084758/file/FGPS2.pdf
https://hal.archives-ouvertes.fr/hal-02084758/file/FGPS2.pdf
Publikováno v:
Strain. 49:167-174
We present a new full-field strain measurement method based on diffusing-wave spectroscopy. Our technique makes it possible to measure strains in the vicinity of the surface of highly light-scattering materials. Its main feature is an extreme sensiti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ffb4e4a8e4eea5747b5de4df1cd36db1
https://doi.org/10.1111/str.12024
https://doi.org/10.1111/str.12024
Publikováno v:
Computers & Mathematics with Applications. 62:2472-2479
Constructing regular graphs with a given girth, a given degree and the fewest possible vertices is hard. This problem is called the cage graph problem and has some links with the error code theory. G-graphs can be used in many applications: symmetric
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f56bc9afa86a4467bbee57647db4c8f4
https://doi.org/10.1016/j.camwa.2011.07.033
https://doi.org/10.1016/j.camwa.2011.07.033
Publikováno v:
Journal of Mathematical Analysis and Applications. 306(2):432-439
We introduce a generalization of the notion of sequence of finite variation, using asymptotic density of sets of positive integers. Some approximation results about approaching any sequence by sequences of finite statistical variation are given.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b89accb5bb9311fe4309cc66ce7446ce
Autor:
Alain Faisant
Publikováno v:
p-Adic Numbers, Ultrametric Analysis and Applications
p-Adic Numbers, Ultrametric Analysis and Applications, MAIK Nauka/Interperiodica, 2014
p-Adic Numbers, Ultrametric Analysis and Applications, MAIK Nauka/Interperiodica, 2014
The aim of this text is to calculate the p-adic valuation vp(fn) where p is a prime number, and (fn)n≥0 the Fibonacci sequence: f0 = 0, f1 = 1, fn+1 = fn + fn−1, n ≥ 1. We obtain this information “in one go” using the p-adic numbers; this e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a5832d2e8890baada03271510d496ce8
https://hal.archives-ouvertes.fr/hal-02084791
https://hal.archives-ouvertes.fr/hal-02084791