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Given a number of pairwise preferences of items, a common task is to rank all the items. Examples include pairwise movie ratings, New Yorker cartoon caption contests, and many other consumer preferences tasks. What these settings have in common is tw
Externí odkaz:
http://arxiv.org/abs/2007.01346
A natural generalization of base B expansions is Zeckendorf's Theorem: every integer can be uniquely written as a sum of non-consecutive Fibonacci numbers $\{F_n\}$, with $F_{n+1} = F_n + F_{n-1}$ and $F_1=1, F_2=2$. If instead we allow the coefficie
Externí odkaz:
http://arxiv.org/abs/1309.5600
Autor:
Demontigny, Philippe, Do, Thao, Kulkarni, Archit, Miller, Steven J., Moon, David, Varma, Umang
Publikováno v:
Journal of Number Theory, Volume 141 (2014), 136--158
A beautiful theorem of Zeckendorf states that every positive integer can be uniquely decomposed as a sum of non-consecutive Fibonacci numbers $\{F_n\}$, where $F_1 = 1$, $F_2 = 2$ and $F_{n+1} = F_n + F_{n-1}$. For general recurrences $\{G_n\}$ with
Externí odkaz:
http://arxiv.org/abs/1309.5599
Autor:
Demontigny, Philippe, Do, Thao, Kulkarni, Archit, Miller, Steven J., Moon, David, Varma, Umang
Publikováno v:
In Journal of Number Theory August 2014 141:136-158
Publikováno v:
The Fibonacci Quarterly; August 2014, Vol. 52 Issue: 3 p247-273, 27p