Results 81 to 90 of about 976 (217)
On the alternating sums of reciprocal generalized Fibonacci numbers [PDF]
, 2022 In this paper, we consider finite alternating sums derived from the generalized Fibonacci numbers Sigma(mn)(k=n)(-1)(k)/U-k, Sigma(mn)(k=n)(-1)(k)/U-2k and Sigma(mn)(k=n)(-1)(k)/U2k-1, where m and n are positive integers with m >= 2, n >= 2. Applying the
Kuzuoglu, Gokhan +1 more
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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
doaj +1 more source
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
wiley +1 more source
Sums Related to the Generalized Fibonacci and the Generalized k-Fibonacci Numbers [PDF]
, 2022 This study consists of three parts, in the first part the basic concepts related to the subjects are mentioned, in the second part some results related to Generalized Fibonacci numbers are discussed, in the third part some identities and results ...
Teke, Mustafa
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
Some properties of Fibonacci numbers, Fibonacci octonions, and generalized Fibonacci-Lucas octonions [PDF]
Advances in Difference Equations, 2015 In this paper we determine some properties of Fibonacci octonions. Also, we introduce the generalized Fibonacci-Lucas octonions and we investigate some properties of these elements.
openaire +3 more sources
Design of Iterative MDS Matrices Based on MISTY Structure
IET Information Security, Volume 2026, Issue 1, 2026.The security of symmetric‐key ciphers critically depends on the diffusion efficiency of their linear components. Iterative maximum distance separable (MDS) matrices, as fundamental elements of diffusion layer, play a pivotal role in constructing secure cryptographic systems.
Guoqiang Liu +5 more
wiley +1 more source
Closed forms for 10 families of finite sums of fractional generalized Fibonacci products [PDF]
, 2018 © 2018 The Fibonacci Association. All rights reserved. In this paper, we present closed forms for 10 families of finite sums where the denominator of the summand is a product of generalized Fibonacci numbers.
Melham, RS
core
A curious property of series involving terms of generalized sequences
International Journal of Mathematics and Mathematical Sciences, 2000 Here we are concerned with series involving generalized Fibonacci numbers Un (p,q) and generalized Lucas numbers Vn (p,q). The aim of this paper is to find triples (p,q,r) for which the series Un (p,q)/rn and Vn (p,q)/rn (for r running from 0 to ...
Odoardo Brugia, Piero Filipponi
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