Results 91 to 100 of about 9,659,868 (257)
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
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Fibonacci and Telephone Numbers in Extremal Trees
Discussiones Mathematicae Graph Theory, 2018 In this paper we shall show applications of the Fibonacci numbers in edge-coloured trees. In particular we determine the successive extremal graphs in the class of trees with respect to the number of (A, 2B)-edge colourings.
Bednarz Urszula, Włoch Iwona
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Fibonacci numbers and orthogonal polynomials
Arab Journal of Mathematical Sciences, 2011 A note dated June 2007 has been added with some historical comments.
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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
A note on Fibonacci matrices of even degree
International Journal of Mathematics and Mathematical Sciences, 2001 This paper presents a construction of m-by-m irreducible Fibonacci matrices for any even m. The proposed technique relies on matrix representations of algebraic number fields which are an extension of the golden section field.
Michele Elia
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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
Families of Integral Cographs within a Triangular Array
Special Matrices, 2020 The determinant Hosoya triangle, is a triangular array where the entries are the determinants of two-by-two Fibonacci matrices. The determinant Hosoya triangle mod 2 gives rise to three infinite families of graphs, that are formed by complete product ...
Ching Hsin-Yun +2 more
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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
Zeckendorf representation of multiplicative inverses modulo a Fibonacci number [PDF]
, 2022 Gessica Alecci, Nadir Murru, Carlo Sanna
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Applicable Analysis and Discrete Mathematics, 2009 The scope of the paper is the definition and discussion of the polynomial generalizations of the Fibonacci numbers called here ?-Fibonacci numbers. Many special identities and interesting relations for these new numbers are presented. Also, different connections between ?-Fibonacci numbers and Fibonacci and Lucas numbers are proven in this paper.
Roman Wituła, Damian Słota
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