Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Mika Mattila"'
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2013 (2013)
We give a set of axioms to establish a perpendicularity relation in an Abelian group and then study the existence of perpendicularities in (ℤn,+) and (ℚ+,·) and in certain other groups. Our approach provides a justification for the use of the sy
Externí odkaz:
https://doaj.org/article/94939b47b36a47c2bfd0722a0b22f9ec
In 1876 H. J. S. Smith defined an LCM matrix as follows: let S = {x_1, x_2, ..., x_n} be a set of positive integers. The LCM matrix [S] is the n $\times$ n matrix with lcm(x_i , x_j) as its ij entry. During the last 30 years singularity of LCM matric
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d138fa7299b4cb91313eb5d4af560c8
This study investigates Finnish, Norwegian, and Swedish first-year engineering students’ task performance in mathematics and examines how it relates to their motivational values and beliefs about the nature of mathematics. In a set of seven mathema
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fa63a71ecc2c8bfabd2f3a4482dfd93a
https://hdl.handle.net/10037/19944
https://hdl.handle.net/10037/19944
Publikováno v:
JP Journal of Algebra, Number Theory and Applications. 40:495-500
Let be the corresponding circulant matrix, and denote the spectral norm. We prove that if the matrix (entrywise), i.e., iffor allwhere the latter index is modulo n, then We apply this result to th ...
Publikováno v:
Linear and Multilinear Algebra. 67:2471-2487
The Bourque–Ligh conjecture states that if S={x1,x2,…,xn} is a gcd-closed set of positive integers with distinct elements, then the LCM matrix [S]=[lcm(xi,xj)] is invertible. It is known th...
Autor:
Mika Mattila, Pentti Haukkanen
Publikováno v:
Contributions to Statistics ISBN: 9783030175184
In the theory of Fourier transform some functions are said to be positive definite based on the positive definiteness property of a certain class of matrices associated with these functions. In the present article we consider how to define a similar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::42680b0fc13438066b6bdd566029c9b0
https://trepo.tuni.fi/handle/10024/117105
https://trepo.tuni.fi/handle/10024/117105
Publikováno v:
Journal of Combinatorial Theory, Series A. 135:181-200
The invertibility of LCM matrices and their Hadamard powers have been studied a lot over the years by many authors. Bourque and Ligh conjectured in 1992 that the LCM matrix $[S]=[[x_i, x_j]]$ on any GCD closed set $S=\{x_1, x_2, \ldots, x_n\}$ is inv
Publikováno v:
Special Matrices, Vol 6, Iss 1, Pp 23-36 (2018)
Consider the recursion g0 = a, g1 = b, gn = gn−1 + gn−2, n = 2, 3, . . . . We compute the Frobenius norm of the r-circulant matrix corresponding to g0, . . . , gn−1. We also give three lower bounds (with equality conditions) for the spectral no
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4035eebe7afefdbcd4e221c7ea0ab877
http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-67428
http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-67428
Let S = { x 1 , x 2 , … , x n } be a finite set of distinct positive integers. Throughout this article we assume that the set S is GCD closed. The LCM matrix [ S ] of the set S is defined to be the n × n matrix with lcm ( x i , x j ) as its ij ele
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3bcb51a7868ed0382d87a3e8834db300
Publikováno v:
Acta Universitatis Sapientiae: Mathematica, Vol 9, Iss 1, Pp 235-247 (2017)
We define perpendicularity in an Abelian group G as a binary relation satisfying certain five axioms. Such a relation is maximal if it is not a subrelation of any other perpendicularity in G. A motivation for the study is that the poset (𝒫, ⊆) o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b4255ed62dbb20cf21cc9881f16c27c2
http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-65085
http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-65085