Results 41 to 50 of about 5,138 (192)
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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A Clifford algebra associated to generalized Fibonacci quaternions
, 2014 In this paper we find a Clifford algebra associated to generalized Fibonacci quaternions. In this way, we provide a nice algorithm to obtain a division quaternion algebra starting from a quaternion non-division algebra and vice ...
Flaut, Cristina
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The Hausdorff Dimension of the Penrose Universe
Physics Research International, Volume 2011, Issue 1, 2011., 2011 Penrose fractal tiling is one of the simplest generic examples for a noncommutative space. In the present work, we determine the Hausdorff dimension corresponding to a four‐dimensional analogue of the so‐calledPenrose Universe and show how it could be used in resolving various fundamental problems in high energy physics and cosmology.
L. Marek-Crnjac, Leonardo Golubovic
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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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Generating matrix of the bi-periodic Lucas numbers
, 2016 In this paper, firstly, we introduce the Q_{l}-Generating matrix for the bi-periodic Lucas numbers. Then, by taking into account this matrix representation, we obtain some properties for the bi-periodic Fibonacci and Lucas ...
Coskun, Arzu, Taskara, Necati
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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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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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One-dimensional disordered photonic structures with two or more materials
, 2018 Here we would like to discuss the light transmission modulation by periodic and disordered one dimensional (1D) photonic structures. In particular, we will present some theoretical and experimental findings highlighting the peculiar optical properties of:
Bellingeri, Michele +11 more
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