Anis Ben Ghorbal, Vitonofrio Crismale, Yun Gang Lu (2007)
Bollettino dell'Unione Matematica Italiana
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We give a construction of the creation, annihilation and number processes on the Boolean Fock space by means of a quantum central limit theorem starting from creation, annihilation and number processes with discrete time.
Costas A. Drossos, George Markakis (1994)
Mathematica Slovaca
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Petr Savický (1987)
Commentationes Mathematicae Universitatis Carolinae
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I.S. Molchanov, D. Stoyan (1994)
Metrika
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Mihai Popa (2009)
Colloquium Mathematicae
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The paper presents several combinatorial properties of the boolean cumulants. A consequence is a new proof of the multiplicative property of the boolean cumulant series that can be easily adapted to the case of boolean independence with amalgamation over an algebra.
Josef Tkadlec (1994)
Mathematica Bohemica
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Sergiu Rudeanu (1998)
Mathware and Soft Computing
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An abstract form of modus ponens in a Boolean algebra was suggested in [1]. In this paper we use the general theory of Boolean equations (see e.g. [2]) to obtain a further generalization. For a similar research on Boolean deduction theorems see [3].
D. Banković (1987)
Matematički Vesnik
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Banković, Dragić (1998)
Novi Sad Journal of Mathematics
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