Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Timothy Ferdinands"'
Autor:
John Ferdinands, Timothy Ferdinands
Publikováno v:
Open Mathematics, Vol 17, Iss 1, Pp 1468-1475 (2019)
The set of subsums of the series $\begin{array}{} \sum_{n=1}^{\infty} \end{array}$ xn is known to be one of three types: a finite union of intervals, homeomorphic to the Cantor set, or of the type known as a Cantorval. Bartoszewicz, Filipczak and Szy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d3e158310a6d14d437251b840db30ecf
https://doaj.org/article/61b427e05da54468a8783499f893d77f
https://doaj.org/article/61b427e05da54468a8783499f893d77f
Autor:
Annette Pilkington, Timothy Ferdinands
Publikováno v:
Rocky Mountain J. Math. 48, no. 3 (2018), 819-829
In this paper, we look at properties of roots which can be written as sums of roots in crystallographic root systems. We derive properties of the poset associated to such a sum consisting of the subsums which are themselves roots.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::28ea31e618ce7bfe23b38ad9d5261156
https://projecteuclid.org/euclid.rmjm/1533230826
https://projecteuclid.org/euclid.rmjm/1533230826
Publikováno v:
Quaestiones Mathematicae. 33:341-346
In this paper we present elegant and elementary proofs of identities that involve sums of the type in the title using Zeilberger's algorithm and the Wilf-Zeilberger proof style.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7750f09d6da1539ba4b1589b3c611301
https://doi.org/10.2989/16073606.2010.507325
https://doi.org/10.2989/16073606.2010.507325
Publikováno v:
Involve 2, no. 1 (2009), 79-88
Consider the space of vertical parabolas in the plane interpreted generally to include nonvertical lines. It is proved that an injective map from a closed region bounded by one such parabola into the plane that maps vertical parabolas to other vertic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6309d7e930498c10d75524f15b6d823c
https://doi.org/10.2140/involve.2009.2.79
https://doi.org/10.2140/involve.2009.2.79