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Soft Computing
Article . 2001 . Peer-reviewed
License: Springer TDM
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Almost everywhere convergence in MV-algebras with product

Authors: Beloslav Riecan;

Almost everywhere convergence in MV-algebras with product

Abstract

This is a short technical paper in which the author generalizes some limit constructions in probability (almost everywhere convergence of random functions). The classical probability space is generalized to a probability MV-algebra \((M,m)\), where \(M\) is a \(\sigma\)-complete MV-algebra with product and \(m\) is a faithful state, and a classical random function is generalized to an \(n\)-dimensional observable (a map of the Borel subsets of \(R^n\) into \(M\) which partially preserves the structure of random events). Misprints (e.g. a missing parenthesis) are rather numerous but they can be easily corrected.

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Keywords

MV-algebras, MV-algebra with product, Applications of functional analysis in quantum physics, Fuzzy real analysis, Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects), limit constructions, observable, Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence, almost everywhere convergence

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
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