Results 61 to 70 of about 394,323 (159)
Fibonacci Numbers which are Products of two Pell Numbers [PDF]
The Fibonacci Quarterly, 2016, 2017 In this paper, we find all Fibonacci numbers which are products of two Pell numbers and all Pell numbers which are products of two Fibonacci numbers.
arxiv
On the Enumeration and Asymptotic Analysis of Fibonacci Compositions [PDF]
arXiv, 2021 We study Fibonacci compositions, which are compositions of natural numbers that only use Fibonacci numbers, in two different contexts. We first prove inequalities comparing the number of Fibonacci compositions to regular compositions where summands have a maximum possible value.
arxiv
Journal of Microscopy, Volume 297, Issue 2, Page 215-226, February 2025.Abstract Metallic nanoparticle dimers have been used to enhance the excitation rate of single‐quantum emitters. The interparticle distance (d) of the dimers has a crucial influence on the signal enhancement. Therefore, precise control of d is desired for optimal performance. However, statistical analysis of d has been often restricted to a small number
Jannik Guckel +5 more
wiley +1 more source
On the Frobenius Number of Fibonacci Numerical Semigroups [PDF]
arXiv, 2006 In this paper we compute the Frobenius number of certain {\em Fibonacci numerical semigroups}, that is, numerical semigroups generated by a set of Fibonacci numbers, in terms of Fibonacci numbers.
arxiv
Connectivity of Markoff mod‐p graphs and maximal divisors
Proceedings of the London Mathematical Society, Volume 130, Issue 2, February 2025.Abstract Markoff mod‐p$p$ graphs are conjectured to be connected for all primes p$p$. In this paper, we use results of Chen and Bourgain, Gamburd, and Sarnak to confirm the conjecture for all p>3.45·10392$p > 3.45\cdot 10^{392}$. We also provide a method that quickly verifies connectivity for many primes below this bound.
Jillian Eddy +4 more
wiley +1 more source
Clinical Pharmacology in Drug Development, Volume 14, Issue 1, Page 79-86, January 2025.Abstract Hydroxysafflor yellow A (HSYA), an active ingredient extracted from Carthami flos, shows potential for treating ischemic stroke. This phase 1 study assessed the safety, tolerability, and pharmacokinetic (PK) properties of HSYA in healthy Chinese volunteers who received intravenous infusions of pure HSYA powder.
Xiuli Zhao +4 more
wiley +1 more source
Fibonacci Numbers, Golden Section and Applications [PDF]
arXiv, 2013 In this thesis we examined mathematical properties of Fibonacci numbers and applications of this numbers in the nature,geometry and economy.We obtained Golden section and proved some mathematical identities using Golden section. Infinity of the prime numbers proved by using properties of Fibonacci numbers.
arxiv
On Types of Distance Fibonacci Numbers Generated by Number Decompositions
Journal of Applied Mathematics, 2014 We introduce new types of distance Fibonacci numbers which are closely related with number decompositions. Using special decompositions of the number n we give a sequence of identities for them.
Anetta Szynal-Liana +2 more
doaj +1 more source
Categorification of the Fibonacci numbers using representations of quivers [PDF]
arXiv, 2011 In a previous paper we have presented a partition formula for the even-index Fibonacci numbers using the preprojective representations of the 3-Kronecker quiver and its universal cover, the 3-regular star. Now we deal in a similar way with the odd-index Fibonacci numbers.
arxiv
Fibonacci numbers and Ford circles [PDF]
arXiv, 2020 An amusing connection between Ford circles, Fibonacci numbers, and golden ratio is shown. Namely, certain tangency points of Ford circles are concyclic and involve Fibonacci numbers. They form four circles that cut the x-axis at points related to the golden ratio.
arxiv