Results 61 to 70 of about 104,813 (231)

Note on a Fibonacci parity sequence

Cryptography and Communications, 2022
Let ftm = 0111010010001... be the analogue of the Thue-Morse sequence in Fibonacci representation. In this note we show how, using the Walnut theorem-prover, to obtain a measure of its complexity, previously studied by Jamet, Popoli, and Stoll. We strengthen one of their theorems and disprove one of their conjectures.
openaire   +2 more sources

Behind phyllotaxis, within the meristem: a REM‐ARF complex shapes inflorescence in Arabidopsis thaliana

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, Carlotta Ferrario, Veronica Maria Beretta, Sri Amarnadh Gupta Tondepu, Renaud Dumas, Humberto Herrera‐Ubaldo, Stefan de Folter, Martin M. Kater, Veronica Gregis   +8 more
wiley   +1 more source

Generalized Fibonacci Sequences Generated from a $k$--Fibonacci Sequence

Journal of Mathematics Research, 2012
In this paper we will prove that all $k$--Fibonacci sequence contains generalized Fibonacci sequences and we will indicate the form of obtain them.
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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, Ana Rita Pires, Morgan Weiler   +2 more
wiley   +1 more source

You're (Not) My Type‐ Can LLMs Generate Feedback of Specific Types for Introductory Programming Tasks?

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, Hieke Keuning, Natalie Kiesler   +2 more
wiley   +1 more source

Some results on average of Fibonacci and Lucas sequences [PDF]

arXiv, 2020
In this paper, we discuss about some results on average of Fibonacci and Lucas sequences that may be found in the OEIS code A111035.
arxiv  

On Doubled and Quadrupled Fibonacci Type Sequences

Annales Mathematicae Silesianae
In this paper we study a family of doubled and quadrupled Fibonacci type sequences obtained by distance generalization of Fibonacci sequence. In particular we obtain doubled Fibonacci sequence, doubled and quadrupled Padovan sequence and quadrupled ...
Yilmaz Nur Şeyma, Włoch Andrzej, Özkan Engin, Strzałka Dominik   +3 more
doaj   +1 more source

$\mathcal{H}$-Nacci Sequence and Its Role in Virus Mutation

Mathematics
In this research, we proposed a new concept called as the H-Nacci sequence. The H-Nacci sequence (Fibonacci sequences of length h) is a collection of numbers developed from the coefficients of the generalized m-th Fibonacci equation.
Muflih Alhazmi, Rexma Sherine Venchislas, Gerly Thaniel Gnanamuthu, Chellamani Perumal, Shreefa O. Hilali, Mashaer Alsaeedi, Avinash Natarajan, Britto Antony Xavier Gnanaprakasam   +7 more
doaj   +1 more source

Convolutions Induced Discrete Probability Distributions and a New Fibonacci Constant [PDF]

arXiv, 2010
This paper proposes another constant that can be associated with Fibonacci sequence. In this work, we look at the probability distributions generated by the linear convolution of Fibonacci sequence with itself, and the linear convolution of symmetrized Fibonacci sequence with itself.
arxiv  

From Fibonacci Sequence to the Golden Ratio [PDF]

Journal of Mathematics, 2013
We consider the well-known characterization of the Golden ratio as limit of the ratio of consecutive terms of the Fibonacci sequence, and we give an explanation of this property in the framework of the Difference Equations Theory. We show that the Golden ratio coincides with this limit not because it is the root with maximum modulus and multiplicity of
FIORENZA, ALBERTO, VINCENZI G.
openaire   +5 more sources