Results 81 to 90 of about 3,148 (188)
On Fibonacci Functions with Period
Discrete Dynamics in Nature and Society, 2013 A function is said to be a Fibonacci function if for all . In 2012, some properties on the Fibonacci functions were presented. In this paper, for any positive integer , a function is said to be a Fibonacci function with period if for all ; we ...
Banyat Sroysang
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Prefixes of the Fibonacci Word
Theoretical Computer Science, 2023 Mignosi, Restivo, and Salemi (1998) proved that for all $ε> 0$ there exists an integer $N$ such that all prefixes of the Fibonacci word of length $\geq N$ contain a suffix of exponent $α^2-ε$, where $α= (1+\sqrt{5})/2$ is the golden ratio. In this note we show how to prove an explicit version of this theorem with tools from automata theory and logic.
openaire +2 more sources
FIBONACCI TILINGS IN FASHION DESIGN [PDF]
Annals of the University of Oradea: Fascicle of Textiles, Leatherwork, 2016 The Fibonacci sequence is a symbol of beauty and harmony and by this reason geometrical objects in its proportions are used in the design. There are some versions of Fibonacci series tiling, which are constructed with equilateral geometrical figures ...
KAZLACHEVA Zlatina
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Exploring Generalized $2^k$-Fibonacci Sequence: A New Family of the Fibonacci Sequence
Communications in Advanced Mathematical SciencesThe focus of this paper is to study the $2^k$–Fibonacci sequence, which is defined for all integers $2^k$, and its connections with both the Fibonacci and the Fibonacci-Lucas sequences.
Elis Gardel Costa Mesquista +2 more
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On integer sequences in cryptography
Journal of Mathematical CryptologyInteger sequences play a pivotal role in cryptography, acting as foundational elements for numerous cryptographic algorithms. This comprehensive investigation examines integer sequences that have significantly impacted the sector in domains such as key ...
Raso Mario, Venturi Daniele
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The Polytopic-k-Step Fibonacci Sequences in Finite Groups
Discrete Dynamics in Nature and Society, 2011 We study the polytopic-k-step Fibonacci sequences, the polytopic-k-step Fibonacci sequences modulo m, and the polytopic-k-step Fibonacci sequences in finite groups.
Ömür Deveci
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Discussiones Mathematicae - General Algebra and Applications, 2020 In this paper, we define and study the bivariate complex Fibonacci and Lucas polynomials. We introduce a operator in order to derive some new symmetric properties of bivariate complex Fibonacci and bivariate complex Lucas polynomials, and give the ...
Boughaba Souhila +2 more
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DEVELOPMENT OF REDOX REACTION LEARNING MEDIA BASED ON MULTIPLE REPRESENTATIONS
EDUSAINSThe use of Information & Communication Technology (ICT) media is widespread in education, thus necessitating the facilitation of chemistry learning activities that guide students to study redox materials.
Muhammad Hisyam, Anita Fibonacci
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Power Fibonacci sequences in quadratic integer modulo m [PDF]
Notes on Number Theory and Discrete MathematicsThe power Fibonacci sequence in ℤₘ[√δ] is defined as a Fibonacci sequence Fₙ=Fₙ₋₁+Fₙ₋₂ where F₀=1 and F₁=a, such that a∈ℤₘ[√δ] and Fₙ≡aⁿ(mod m), for all n∈ℕ∪{0}. In this paper, we investigated the existence of power Fibonacci sequences in ℤₘ[√δ], and the
Paul Ryan A. Longhas +3 more
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On the arrowhead-Fibonacci numbers
Open Mathematics, 2016 In this paper, we define the arrowhead-Fibonacci numbers by using the arrowhead matrix of the characteristic polynomial of the k-step Fibonacci sequence and then we give some of their properties.
Gültekin Inci, Deveci Ömür
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