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pro vyhledávání: '"Durmić, Irfan"'
Autor:
Durmić, Irfan, Miller, Steven J.
Nature and our world have a bias! Roughly $30\%$ of the time the number $1$ occurs as the leading digit in many datasets base $10$. This phenomenon is known as Benford's law and it arrises in diverse fields such as the stock market, optimizing comput
Externí odkaz:
http://arxiv.org/abs/2308.07404
We make progress on a conjecture made by [DM], which states that the $d$-dimensional frames of $m$-dimensional boxes resulting from a fragmentation process satisfy Benford's law for all $1 \leq d \leq m$. We provide a sufficient condition for Benford
Externí odkaz:
http://arxiv.org/abs/2304.08335
Autor:
Cui, Hao, Cui, Xiaoyu, Davis, Sophia C., Durmić, Irfan, Hu, Qingcheng, Liu, Lisa, Miller, Steven J., Ren, Fengping, Reina, Alicia Smith, Sosis, Eliel
There is a growing literature on sums of reciprocals of polynomial functions of recurrence relations with constant coefficients and fixed depth, such as Fibonacci and Tribonacci numbers, products of such numbers, and balancing numbers (numbers $n$ su
Externí odkaz:
http://arxiv.org/abs/2212.02639
We consider the notion of classical parking functions by introducing randomness and a new parking protocol, as inspired by the work presented in the paper ``Parking Functions: Choose your own adventure,'' (arXiv:2001.04817) by Carlson, Christensen, H
Externí odkaz:
http://arxiv.org/abs/2211.00536
Publikováno v:
The PUMP Journal of Undergraduate Research (2022), Volume 5, 89-104
The generalized gamma distribution shows up in many problems related to engineering, hydrology as well as survival analysis. Earlier work has been done that estimated the deviation of the exponential and the Weibull distribution from Benford's Law. W
Externí odkaz:
http://arxiv.org/abs/2201.10514
Autor:
Baily, Benjamin, Dell, Justine, Durmić, Irfan, Fleischmann, Henry, Jackson, Faye, Mijares, Isaac, Miller, Steven J., Pesikoff, Ethan, Reifenberg, Luke, Reina, Alicia Smith, Yang, Yingzi
Every positive integer may be written uniquely as a base-$\beta$ decomposition--that is a legal sum of powers of $\beta$--where $\beta$ is the dominating root of a non-increasing positive linear recurrence sequence. Guided by earlier work on a two-pl
Externí odkaz:
http://arxiv.org/abs/2109.00117
Akademický článek
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Autor:
Baily, Benjamin, Dell, Justine, Durmić, Irfan, Fleischmann, Henry L., Jackson, Faye, Mijares, Isaac, Miller, Steven J., Pesikoff, Ethan, Reifenberg, Luke, Reina, Alicia Smith, Yang, Yingzi
Publikováno v:
The Fibonacci Quarterly; December 2022, Vol. 60 Issue: 5 p18-38, 21p
