Results 81 to 90 of about 9,659,868 (257)
Cubic binomial Fibonacci sums [PDF]
Electronic Journal of Mathematics, 2021 Kunle Adegoke +2 more
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A note on closed-form representation of Fibonacci numbers using Fibonacci trees [PDF]
arXiv, 2013 In this paper, we give a new representation of the Fibonacci numbers. This is achieved using Fibonacci trees. With the help of this representation, the nth Fibonacci number can be calculated without having any knowledge about the previous Fibonacci numbers.
arxiv
Generalized Fibonacci Numbers and Blackwell's Renewal Theorem [PDF]
, 2010 We investigate a connection between generalized Fibonacci numbers and renewal theory for stochastic processes. Using Blackwell's renewal theorem we find an approximation to the generalized Fibonacci numbers. With the help of error estimates in the renewal theorem we figure out an explicit representation.
arxiv +1 more source
Restricted Permutations, Fibonacci Numbers, and k-generalized Fibonacci Numbers
, 2002 A permutation $ \in S_n$ is said to {\it avoid} a permutation $ \in S_k$ whenever $ $ contains no subsequence with all of the same pairwise comparisons as $ $. For any set $R$ of permutations, we write $S_n(R)$ to denote the set of permutations in $S_n$ which avoid every permutation in $R$. In 1985 Simion and Schmidt showed that $|S_n(132, 213, 123)
Egge, Eric S., Mansour, Toufik
openaire +2 more sources
The Plant Journal, Volume 121, Issue 5, March 2025.Significance Statement We showed that REM34 and REM35, cooperating with ARF7 and ARF19, regulate phyllotaxis establishment in Arabidopsis by the transcriptional control of a common set of genes and by influencing the cell cycle. This fundamental research study adds knowledge on the complex programs that drive inflorescence development, such as cell ...
Francesca Caselli +8 more
wiley +1 more source
A classification of infinite staircases for Hirzebruch surfaces
Journal of Topology, Volume 18, Issue 1, March 2025.Abstract The ellipsoid embedding function of a symplectic manifold gives the smallest amount by which the symplectic form must be scaled in order for a standard ellipsoid of the given eccentricity to embed symplectically into the manifold. It was first computed for the standard four‐ball (or equivalently, the complex projective plane) by McDuff and ...
Nicki Magill +2 more
wiley +1 more source
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 Computer Assisted Learning, Volume 41, Issue 1, February 2025.ABSTRACT Background Feedback as one of the most influential factors for learning has been subject to a great body of research. It plays a key role in the development of educational technology systems and is traditionally rooted in deterministic feedback defined by experts and their experience.
Dominic Lohr +2 more
wiley +1 more source
Another type of generalized fibonacci series
Semina: Ciências Exatas e Tecnológicas, 2004 The Fibonacci sequence, with many applications and occurrences in nature and arts is discussed in the present work. It is considered a generalization of the Fibonacci series by the introduction of a real coefficient in the recurrence relation.
Júlio Pureza, Gil Bazanini
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