Results 51 to 60 of about 10,730 (186)
Applications of some special numbers obtained from a difference equation of degree three
, 2017 In this paper we present applications of some special numbers obtained from a difference equation of degree three, especially in the Coding Theory. As a particular case, we obtain the generalized Pell-Fibonacci-Lucas numbers, which were extended to the ...
Flaut, Cristina, Savin, Diana
core +1 more source
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 Generalized Apostol-Type Frobenius–Euler–Fibonacci Polynomials
MathematicsIn this paper, by using the Golden Calculus, we introduce the generalized Apostol-type Frobenius–Euler–Fibonacci polynomials and numbers; additionally, we obtain various fundamental identities and properties associated with these polynomials and numbers,
Maryam Salem Alatawi +3 more
doaj +1 more source
Some properties of k-generalized Fibonacci numbers
Mathematica Montisnigri, 2021 In the present paper, we propose some properties of the new family 𝑘-generalized Fibonacci numbers which related to generalized Fibonacci numbers. Moreover, we give some identities involving binomial coefficients for 𝑘-generalized Fibonacci numbers.
Nazmiye Yılmaz +2 more
openaire +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
wiley +1 more source
Novel Expressions for Certain Generalized Leonardo Polynomials and Their Associated Numbers
AxiomsThis article introduces new polynomials that extend the standard Leonardo numbers, generalizing Fibonacci and Lucas polynomials. A new power form representation is developed for these polynomials, which is crucial for deriving further formulas.
Waleed Mohamed Abd-Elhameed +3 more
doaj +1 more source
A Combinatorial Approach to $r$-Fibonacci Numbers [PDF]
, 2012 In this paper we explore generalized “$r$-Fibonacci Numbers” using a combinatorial “tiling” interpretation. This approach allows us to provide simple, intuitive proofs to several identities involving $r$-Fibonacci Numbers presented by F.T.
Heberle, Curtis
core +2 more sources
Restricted Permutations, Fibonacci Numbers, and k-generalized Fibonacci Numbers
, 2005 In 1985 Simion and Schmidt showed that the number of permutations in Sn which avoid 132, 213, and 123 is equal to the Fibonacci number Fn+1. We use generating function and bijective techniques to give other sets of pattern-avoiding permutations which can be enumerated in terms of Fibonacci or k-generalized Fibonacci numbers.
Egge, Eric C., Mansour, Toufik
openaire +1 more source
Dual Proximal Groups Concisely Representing Complex Hosoya Triangles
Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.This paper introduces dual proximal groups (DPGs) that provide concise representation of complex Hosoya triangles (CHTs). An application is given in terms of the DPG representation of collections of Hosoya‐Hilbert circular triangles on modulated motion waveforms in sequences of video frames. MSC2020 Classification: 11B39,54E05,57S25.
Kübra Gül +3 more
wiley +1 more source
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
doaj +1 more source