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Sulle partizioni di un insieme finito su cui opera un semigruppo di trasformazioni

Romano Scozzafava — 1973

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Partitions of a finite set, which are induced by a transformation semigroup acting on it, are studied via the concepts of "orbitoid" (introduced in previous papers) and those of generating and non-absorbing subsets. These partitions give rise to corresponding ones for an arbitrary (finite) semigroup, through the Cayley representation.

Null events and stochastical independence

Giulianella ColletiRomano Scozzafava — 1998

Kybernetika

In this paper we point out the lack of the classical definitions of stochastical independence (particularly with respect to events of 0 and 1 probability) and then we propose a definition that agrees with all the classical ones when the probabilities of the relevant events are both different from 0 and 1, but that is able to focus the actual stochastical independence also in these extreme cases. Therefore this definition avoids inconsistencies such as the possibility that an event A can be at the...

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