Fibonacci numbers and Lucas numbers
, 2016 Neste trabalho, exploramos os números de Fibonacci e de Lucas. A maioria dos resultados históricos sobre esses números são apresentados e provados. Ao longo do texto, um grande número de identidades a respeito dos números de Fibonacci e de Lucas são ...
Silva, Bruno Astrolino e
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Tridiagonal matrices representations of generalized bivariate complex polynomials
Journal of Innovative Applied Mathematics and Computational SciencesThis paper introduces a closed-form expression for generalized bivariate complex polynomials using a tridiagonal determinant in symbolic form. Subsequences with even and odd indices are also represented as tridiagonal determinants.
K. L. Verma
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Lucas and Fibonacci numbers: properties and connections
, 2023 O propósito deste trabalho é estudar as sequências de Fibonacci e de Lucas, explorando suas co-relações e semelhanças no contexto da Teoria dos Números. Para isso, utilizaremos como principal ferramenta o desenvolvimento teórico, através de demonstrações
Oliveira, Josué de Carvalho [UNESP]
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KmerKeys: a web resource for searching indexed genome assemblies and variants. [PDF]
Nucleic Acids Res, 2022 Pavlichin DS +5 more
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A Digital Image Confidentiality Scheme Based on Pseudo-Quantum Chaos and Lucas Sequence. [PDF]
Entropy (Basel), 2020 Butt KK, Li G, Masood F, Khan S.
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On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences. [PDF]
Ramanujan J, 2021 Ddamulira M, Luca F.
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On the periods of bi-periodic Fibonacci and bi-periodic Lucas sequences
, 2017 Bu tez çalışmasında k-Lucas dizisi için Pisano periyodu ve bu periyot ile ilgili özellikler verilmiştir. Ayrıca k-Fibonacci ile k-Lucas dizilerinin 2^n moduna göre periyotları incelenmiştir.
Kızılırmak, Gül Özkan
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A comprehensive taxonomy on multimedia video forgery detection techniques: challenges and novel trends. [PDF]
Multimed Tools Appl, 2023 El-Shafai W +3 more
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Bi-periyodik Fibonacci ve bi-periyodik Lucas dizilerinin periyotları üzerine
, 2017 Bu tez çalışmasında k-Lucas dizisi için Pisano periyodu ve bu periyot ile ilgili özellikler verilmiştir. Ayrıca k-Fibonacci ile k-Lucas dizilerinin 2^n moduna göre periyotları incelenmiştir.
GÜL ÖZKAN KIZILIRMAK
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The Fibonacci and Lucas Sequences as Structural Codes of DNA
This white paper presents a visionary model linking the Fibonacci and Lucas sequences to the architecture of DNA, codons, amino acids, and chromosomes. Through recursive structures, digital root triplets, and dimensional resonance points, the study reveals deep numerical patterns embedded in biological systems.
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