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Title: Quantum logics and bivariable functions (English)
Author: Drobná, Eva
Author: Nánásiová, Oĺga
Author: Valášková, Ĺubica
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 46
Issue: 6
Year: 2010
Pages: 982-995
Summary lang: English
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Category: math
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Summary: New approach to characterization of orthomodular lattices by means of special types of bivariable functions $G$ is suggested. Under special marginal conditions a bivariable function $G$ can operate as, for example, infimum measure, supremum measure or symmetric difference measure for two elements of an orthomodular lattice. (English)
Keyword: finite atomistic quantum logic
Keyword: orthomodular lattice
Keyword: conditional state
Keyword: s-map
Keyword: d-map
Keyword: bivariable functions
Keyword: modeling infimum measure
Keyword: supremum measure
Keyword: simultaneous measurements
MSC: 03G10
MSC: 03G12
MSC: 03G25
MSC: 03H05
idZBL: Zbl 1229.03054
idMR: MR2797422
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Date available: 2011-04-12T12:44:47Z
Last updated: 2013-09-22
Stable URL: http://hdl.handle.net/10338.dmlcz/141461
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Reference: [13] Nánásiová, O., Valášková, L’.: Marginality and triangle inequality Internat.J. Theoret. Phys. (2010), accepted. MR 2738079
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