Results 41 to 50 of about 4,911 (197)
A New Generalization of Leonardo Sequences: Biperiodic Leonardo Sequence
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this study, we define a new type of number sequence called biperiodic Leonardo sequence by the recurrence relation Lena,b=aLen−1+Len−2+1 (for even n) and Lena,b=bLen−1+Len−2+1 (for odd n) with the initial conditions Le0a,b=Le1a,b=1. We obtained the characteristic function, generating function, and Binet’s formula for this sequence and propose a ...
Hasan Gökbaş, Mohammad W. Alomari
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Sunflower Array Antenna with Adjustable Density Taper
International Journal of Antennas and Propagation, Volume 2009, Issue 1, 2009., 2009 A deterministic procedure to design a nonperiodic planar array radiating a rotationally symmetric pencil beam pattern with an adjustable sidelobe level is proposed. The elements positions are derived by modifying the peculiar locations of the sunflower seeds in such a way that the corresponding spatial density fits a Taylor amplitude tapering law which
Maria Carolina Viganó +5 more
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Periods of Leonardo Sequences and Bivariate Gaussian Leonardo Polynomials
Düzce Üniversitesi Bilim ve Teknoloji DergisiIn this study, we investigate the periodic characteristics of Leonardo, Leonardo-Lucas, and Gaussian Leonardo sequences, presenting our findings through lemmas and theorems.
Selime Beyza Özçevik, Abdullah Dertli
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A New Class of Leonardo Hybrid Numbers and Some Remarks on Leonardo Quaternions over Finite Fields
Mathematics, 2023 In this paper, we present a new class of Leonardo hybrid numbers that incorporate quantum integers into their components. This advancement presents a broader generalization of the q-Leonardo hybrid numbers.
Elif Tan, Diana Savin, Semih Yılmaz
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The Abbaco Tradition (1300-1500): its role in the development of European algebra [PDF]
, 2008 Abbaco algebra is a coherent tradition of algebraic problem solving mostly based in the merchant cities of fourteenth and fifteenth-century Italy. This period is roughly situated between two important works dealing with algebra: the Liber Abbaci by ...
Heeffer, Albrecht
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5D Hyperchaotic Image Encryption Scheme Based on Fibonacci Q‐Matrix
Complexity, Volume 2024, Issue 1, 2024.This article proposed an image encryption scheme along a novel five‐dimensional hyperchaotic system and a Fibonacci Q‐matrix (FQ‐matrix) for gray images. This designed algorithm follows two key stages: the confusion stage and the diffusion stage. In the confusion step and diffusion step, the placement of the plain image pixels is replaced by a 5D ...
Geeta Biban +4 more
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Embeddings into Hyper Petersen Networks: Yet Another Hypercube‐Like Interconnection Topology
VLSI Design, Volume 2, Issue 4, Page 335-351, 1995., 1995 A new hypercube‐like topology, called the hyper Petersen (HP) network, is proposed and analyzed, which is constructed from the well‐known cartesian product of the binary hypercube and the Petersen graph of ten nodes. This topology is an attractive candidate for multiprocessor interconnection having such desirable properties as regularity, high symmetry
Sajal K. Das +2 more
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A Tutte polynomial inequality for lattice path matroids
, 2016 Let $M$ be a matroid without loops or coloops and let $T(M;x,y)$ be its Tutte polynomial. In 1999 Merino and Welsh conjectured that $$\max(T(M;2,0), T(M;0,2))\geq T(M;1,1)$$ holds for graphic matroids.
Alfonsín, Jorge Luis Ramírez +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.Some boundedness and convergence properties of generalized Fibonacci’s‐type recurrences and their associated iterated recurrence ratios between pairs of consecutive terms are discussed under a wide number of initial conditions. Also, a more general, so‐called (k, q) Fibonacci’s recurrence and the associated Fibonacci’s ratio recurrences are ...
Manuel De la Sen, V. Ravichandran
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Art and Science: Where Numerology and Mathematics Touch the Lung
Canadian Respiratory Journal, Volume 1, Issue 4, Page 241-247, 1994., 1994 Mathematical analysis in the physical seiences has a long history that reveals not only a rich harvest of fundamental insights but also leads to a wonderment at the in trinsically formal beauty in nature. Rigorous analysis or form and function in the biological sciences has been a more recent innovation.
S Marsh Tenney
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