Results 41 to 50 of about 395,880 (199)
On the Adjacent Cycle Derangements
International Scholarly Research Notices, Volume 2012, Issue 1, 2012., 2012 A derangement, that is, a permutation without fixed points, of a finite set is said to be an adjacent cycle when all its cycles are formed by a consecutive set of integers. In this paper we determine enumerative properties of these permutations using analytical and bijective proofs.
Luisa de Francesco Albasini +4 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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Nuova informazione bibliografica, 2016 Qua re amplectens strictius ipsum modum indorum, et attentius studens in eo, ex proprio sensu quedam addens, et quedam etiam ex subtilitatibus Euclidis geometrice artis apponens, summam huius libri, quam intelligibilius potui, in XV capitulis distinctam componere laboravi, fere omnia que inserui, certa probatione ostendens, ut extra, perfecto pro ...
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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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
Hyper-Dual Leonardo Quaternions
Journal of New TheoryIn this paper, hyper-dual Leonardo quaternions are defined and studied. Some basic properties of the hyper-dual Leonardo quaternions, including their relationships with the hyper-dual Fibonacci quaternions and hyper-dual Lucas quaternions, are analyzed ...
Tülay Yağmur
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On approximation methods of Leonardo Fibonacci
Historia Mathematica, 1976 AbstractAs is well known, Leonardo da Pisa gave a very precise approximation for the only irrational root of the equation x3 + 2x2 + 10x = 20. Two hypotheses concerning his method were put forward in the XIX century. With good reason they were criticized by M. Cantor in his Vorlesungen.
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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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Portraits of Leonardo da Vinci [PDF]
, 2011 Using an iterative method, applied to image processing, a portrait of a young man, probably a self-portrait of Leonardo da Vinci, is restored. Merging this portrait with the self-portrait in red chalk, we can have the features of a middle-aged Leonardo ...
Sparavigna, Amelia Carolina
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