Pregledni rad

The golden ratio in probablistic and artificial intelligence

Ilija Tanackov ; University of Novi Sad, Faculty of Technical Sciences, Trg Dositeja Obradovica 6, 21000 Novi Sad, Serbia
Jovan Tepić ; University of Novi Sad, Faculty of Technical Sciences, Trg Dositeja Obradovica 6, 21000 Novi Sad, Serbia
Milan Kostelac ; University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, Ivana Lucica 5, 10000 Zagreb, Croatia

Sažetak

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 2lnφ 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.

Ključne riječi

artificial intelligence; golden ratio; Markov processes

Hrčak ID:

75415

URI

https://hrcak.srce.hr/75415

Datum izdavanja:

27.12.2011.

Podaci na drugim jezicima: hrvatski

Posjeta: 6.464 *