Results 61 to 70 of about 973 (216)
Some properties and extended Binet’s formula for the class of bifurcating Fibonacci sequence
Ratio MathematicaOne of the generalizations of Fibonacci sequence is a -Fibonacci sequence, which is further generalized in several other ways, some by conserving the initial conditions and others by conserving the related recurrence relation.
Daksha Manojbhai Diwan +2 more
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Mersenne-Horadam identities using generating functions
Karpatsʹkì Matematičnì Publìkacìï, 2020 The main object of the present paper is to reveal connections between Mersenne numbers $M_n=2^n-1$ and generalized Fibonacci (i.e., Horadam) numbers $w_n$ defined by a second order linear recurrence $w_n=pw_{n-1}+qw_{n-2}$, $n\geq 2$, with $w_0=a$ and ...
R. Frontczak, T.P. Goy
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On Types of Distance Fibonacci Numbers Generated by Number Decompositions [PDF]
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 numbernwe give a sequence of identities for them. Moreover, we give matrix generators for distance Fibonacci numbers and their direct formulas.
Anetta Szynal-Liana +2 more
openaire +4 more sources
Zarankiewicz bounds from distal regularity lemma
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract Since Kővári, Sós and Turán proved upper bounds for the Zarankiewicz problem in 1954, much work has been undertaken to improve these bounds, and some have done so by restricting to particular classes of graphs. In 2017, Fox, Pach, Sheffer, Suk and Zahl proved better bounds for semialgebraic binary relations, and this work was extended by Do in
Mervyn Tong
wiley +1 more source
Some sums related to the terms of generalized Fibonacci autocorrelation sequences
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2017 In this paper, we give the terms of the generalized Fibonacci autocorrelation sequences defined as and some interesting sums involving terms of these sequences for an odd integer number and nonnegative integers.
Neşe Ömür , Sibel Koparal
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Entanglement in Quantum Systems Based on Directed Graphs
Advanced Quantum Technologies, Volume 9, Issue 1, January 2026.The entanglement properties of quantum states associated with directed graphs are investigated. It is proved that the vertex degree distribution fully determines this entanglement measure, which remains invariant under vertex relabeling, thereby highlighting its topological character.
Lucio De Simone, Roberto Franzosi
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GENERALIZED HYBRID FIBONACCI p - NUMBERS
, 2021 Yüksek Lisans TeziKompleks, hiperbolik ve dual sayıları içeren değişmeli olmayan bir halka olan Hybrid sayılar kümesi Özdemir tarafından tanımlanmıştır. Hybrid sayılar ve özel sayı dizileri ile ilgili günümüze kadar birçok çalışma yapılmıştır.
Alşan, Hüriye
core
A Quadratic Diophantine Equation Involving Generalized Fibonacci Numbers
Mathematics, 2020 The sequence of the k-generalized Fibonacci numbers ( F n ( k ) ) n is defined by the recurrence F n ( k ) = ∑ j = 1 k F n − j ( k ) beginning with the k terms 0 , … , 0 , 1 .
Ana Paula Chaves, Pavel Trojovský
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Encrypt Anything: A Content‐Aware Hierarchical Privacy Protection Method for Image Data
IET Computer Vision, Volume 20, Issue 1, January/December 2026.This paper proposes the Encrypt Anything Model (EAM), a content‐aware hierarchical privacy protection method that integrates the Segment Anything Model (SAM) and Grounding‐DINO to automatically detect and segment privacy entities in images. EAM dynamically adjusts the encryption granularity according to the sensitivity level of privacy and introduces a
Jiawei Han +5 more
wiley +1 more source
Device‐Independent Quantum Key Distribution: Protocols, Quantum Games and Security
IET Quantum Communication, Volume 7, Issue 1, January/December 2026.Device‐independent quantum key distribution (DIQKD) removes the need to trust internal device behaviour by certifying security through Bell‐inequality violations, thereby closing practical loopholes in conventional QKD. This paper systematically reviews DIQKD foundations (Bell tests and security definitions), protocol frameworks (CHSH‐based and ...
Syed M. Arslan +3 more
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