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math.LO2012★ 10 cited
Hyperintegers and Nonstandard Techniques in Combinatorics of Numbers
Lorenzo Luperi Baglini
In literature, many important combinatorial properties of subsets of N have been studied both with nonstandard techniques and from the point of view of N. In this thesis we mix the…
math.AP2012★ 4 cited
A model problem for ultrafunctions
Vieri Benci, Lorenzo Luperi Baglini
The purpose of this paper is to show that Non-Archimedean Mathematics (NAM), namely mathematics which uses infinite and infinitesimal numbers, is useful to model some Physical prob…