QUANTUM MULTIDIMENSIONAL MODELS OF COMPLEX SYSTEMS
Result description
The paper presents a new methodology how to extend the well-known quantum model [2] with (2N - 1) free parameters (moduli and phases) of wave probabilistic functions psi(A(i)) assigned into events A(i), i is an element of {1, 2, ..., N} to N.(N+1)/2 free parameters necessary for full N-dimensional representation of complex system. Our approach generally enables to include additional functions applied on events A(i), i is an element of {1, 2, ..., N}. In the paper, we will demonstrate this mathematical instrument on additional wave probabilistic functions psi(A(k) boolean AND A(m) boolean AND ... boolean AND A(n)) connected with macroscopic events' intersections A(k) boolean AND A(m) boolean AND ... boolean AND A(n) where k, m, ..., n is an element of {1, 2, ...,N}.
Keywords
The result's identifiers
Result code in IS VaVaI
Alternative codes found
RIV/68407700:21730/19:00348855
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
QUANTUM MULTIDIMENSIONAL MODELS OF COMPLEX SYSTEMS
Original language description
The paper presents a new methodology how to extend the well-known quantum model [2] with (2N - 1) free parameters (moduli and phases) of wave probabilistic functions psi(A(i)) assigned into events A(i), i is an element of {1, 2, ..., N} to N.(N+1)/2 free parameters necessary for full N-dimensional representation of complex system. Our approach generally enables to include additional functions applied on events A(i), i is an element of {1, 2, ..., N}. In the paper, we will demonstrate this mathematical instrument on additional wave probabilistic functions psi(A(k) boolean AND A(m) boolean AND ... boolean AND A(n)) connected with macroscopic events' intersections A(k) boolean AND A(m) boolean AND ... boolean AND A(n) where k, m, ..., n is an element of {1, 2, ...,N}.
Czech name
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Czech description
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Classification
Type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Neural Network World
ISSN
1210-0552
e-ISSN
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Volume of the periodical
29
Issue of the periodical within the volume
5
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
9
Pages from-to
363-371
UT code for WoS article
000497700600005
EID of the result in the Scopus database
2-s2.0-85077031410
Result type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
OECD FORD
Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Year of implementation
2019