The golden ratio in probablistic and artificial intelligence (CROSBI ID 280596)
Prilog u časopisu | pregledni rad (stručni)
Podaci o odgovornosti
Tanckov, Ilija ; Tepić, Jovan ; Kostelac, Milan
engleski
The golden ratio in probablistic and artificial intelligence
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.
artificial intelligence ; golden ratio ; Markov processes
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Podaci o izdanju
18 (4)
2011.
641-647
objavljeno
1330-3651
1848-6339
Povezanost rada
Matematika, Strojarstvo