Results 41 to 50 of about 264,882 (186)

Sistematização da Aritmética Comercial europeia no século XIII

Revista Prática Docente
A Europa no século XIII passa por mudanças em suas atividades comerciais, essas mudanças levam a necessidade de cálculos mais otimizados e eficientes. Neste momento entra em cena um livro chamado Liber Abaci escrito por Leonardo Fibonacci (1180 – 1250 ...
José dos Santos Guimarães Filho, João Cláudio Brandemberg   +1 more
doaj   +1 more source

Split Quaternionic Representations of Horadam Sequences and Their Binet, Generating Function, and Cassini‐Type Identities

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study establishes a novel algebraic connection between Horadam numbers and the split quaternion algebra. To this end, two fundamental constructs are introduced: the Fibonacci Sq,r‐split quaternions and the Horadam sq,r‐split quaternions, which generalize Horadam numbers within the framework of split quaternions.
İskender Öztürk, Hasan Çakır, Smritijit Sen   +2 more
wiley   +1 more source

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, Norma Zagaglia Salvi, S. Locke, Y. Manoussakis, X. Yong   +4 more
wiley   +1 more source

Fibonacci’s Computation Methods vs Modern Algorithms

Reti Medievali Rivista, 2013
In this paper we discuss some computational procedures given by Leonardo Pisano Fibonacci in his famous Liber Abaci book, and we propose their translation into a modern language for computers (C ++).
Ernesto Burattini
doaj   +1 more source

Indian cosmogonies and cosmologies [PDF]

Filozofija i Društvo, 2011
Various ideas on how the universe appeared and develops, were in Indian tradition related to mythic, religious, or philosophical ideas and contexts, and developed during some 3.000 years - from the time of Vedas, to Puranas. Conserning its appeareance,
Pajin Dušan
doaj   +1 more source

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

Periods of Leonardo Sequences and Bivariate Gaussian Leonardo Polynomials

Düzce Üniversitesi Bilim ve Teknoloji Dergisi
In 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
doaj   +1 more source

Leonardo Fibonacci

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 ...
openaire   +2 more sources

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
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, Giovanni Toso, Gerard Caille, Cyril Mangenot, Ioan E. Lager, Stefano Selleri   +5 more
wiley   +1 more source