Zlatni rez u vjerojatnosti i umjetnoj inteligenciji

Tanackov, Ilija J. and Tepić, Jovan and Kostelac, Milan (2011) Zlatni rez u vjerojatnosti i umjetnoj inteligenciji. = The golden ratio in probablistic and artificial intelligence. Tehnički vjesnik : znanstveno-stručni časopis tehničkih fakulteta Sveučilišta u Osijeku, 18 (4). pp. 641-647. ISSN 1330-3651. Vrsta rada: ["eprint_fieldopt_article_type_article" not defined]. Kvartili JCR: Q4 (2011). Točan broj autora: 3.

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Abstract (Croatian)

Problem linijskog odsječka utemeljenog na omjeru zlatnog reza φ = 1,618033 ima analogiju u vjerojatnosti. Rješenje elementarne eksponencijalne raspodjele, posebice ističe vrijednost 2lnφ. Ova vrijednost također ima ključnu ulogu u odnosu Rikatijevih hiperboličnih funkcija s Fibonačijevim i Lukasovim brojevima u kontinuiranom području. Time se uspostavlja bliska veza između konstanti e i φ. Izvedena su dva nova teorema o konvergenciji konstanti φ i e . Broj e je temelj Markovskih procesa, koji su našli primjenu u teoriji vjerojatnosni i umjetne inteligencije. Omjer konstanti e i φ, kao i mnogi drugi prirodni fenomeni na temelju zlatnog reza, ističu potrebu za proširenjem područja vjerojatnosni i umjetne inteligencije.

Abstract

The problem of the line section based on the golden ratio φ = 1,618033 has the analogy in probability. The solution of the elementary exponential distribution relies on the value 2ln φ in particular. This value also plays a key role to Riccati hyperbolic functions with Fibonacci and Lucas numbers in continuous domain. This establishes a close relationship between the constants e and φ Two new theorems on the convergence between the constants φ and e were derived. The number e is the foundation of Markov processes, which find applications in probabilistic and artificial intelligence theory. The ratio between the constants φ and e, as well as many other natural phenomena based on the golden ratio, highlight the need to expand the field of probabilistic and artificial intelligence.

Item Type: Article (["eprint_fieldopt_article_type_article" not defined])
Keywords (Croatian): Continuous domain; Exponential distributions; Golden ratio; Lucas numbers; Natural phenomena; Hyperbolic functions; Markov processes; Artificial intelligence
Subjects: TECHNICAL SCIENCE
Divisions: 400 Department of IC Engines and Mechanical Handling Equipment > 430 Chair of Track-guided Rail and Levitated Vehicles
Indexed in Web of Science: Yes
Indexed in Current Contents: No
Quartiles: Q4 (2011)
Citations SCOPUS: 2 (02.03.2017.)
Date Deposited: 23 Apr 2015 12:43
Last Modified: 02 Mar 2017 13:09
URI: http://repozitorij.fsb.hr/id/eprint/3745

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