Naslov
The golden ratio in probablistic and artificial intelligence

Autori
Tanckov, Ilija ; Tepić, Jovan ; Kostelac, Milan

Izvornik
Tehnički vjesnik : znanstveno-stručni časopis tehničkih fakulteta Sveučilišta u Osijeku (1330-3651) 18 (2011), 4; 641-647

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, pregledni rad, ostalo

Ključne riječi
artificial intelligence ; golden ratio ; Markov processes

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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Strojarstvo

POVEZANOST RADA