14 citations · 44 across the 14 of their papers we have counts for
4 papers · 1 filter
Flexible involutive meadows
Bruno Dinis, Emanuele Bottazzi
We investigate a notion of inverse for neutrices inspired by Van den Berg and Koudjeti's decomposition of a neutrix as the product of a real number and an idempotent neutrix. We en…
Infinitesimals via Cauchy sequences: Refining the classical equivalence
Emanuele Bottazzi, Mikhail G. Katz
A refinement of the classic equivalence relation among Cauchy sequences yields a useful infinitesimal-enriched number system. Such an approach can be seen as formalizing Cauchy's s…
Integration with filters
Emanuele Bottazzi, Monroe Eskew
We introduce a notion of integration defined from filters over families of finite sets. This procedure corresponds to determining the average value of functions whose range lies in…
Some applications of numerosities in measure theory
Vieri Benci, Emanuele Bottazzi, Mauro Di Nasso
We present some applications of the notion of numerosity to measure theory, including the construction of a non-Archimedean model for the probability of infinite sequences of coin…