Results 31 to 40 of about 395,880 (199)

On Skew Circulant Type Matrices Involving Any Continuous Fibonacci Numbers

Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
Circulant and skew circulant matrices have become an important tool in networks engineering. In this paper, we consider skew circulant type matrices with any continuous Fibonacci numbers. We discuss the invertibility of the skew circulant type matrices and present explicit determinants and inverse matrices of them by constructing the transformation ...
Zhaolin Jiang, Jinjiang Yao, Fuliang Lu, Zidong Wang   +3 more
wiley   +1 more source

Some Properties of the Generalized Leonardo Numbers

Journal of New Theory
In this study, various properties of the generalized Leonardo numbers, which are one of the generalizations of Leonardo numbers, have been investigated. Additionally, some identities among the generalized Leonardo numbers have been obtained. Furthermore,
Yasemin Alp
doaj   +1 more source

SOBRE A DIVULGAÇÃO DO SISTEMA INDO-ARÁBICO NA EUROPA NO SÉCULO XIII

Boletim Cearense de Educação e História da Matemática, 2020
Nesta comunicação apresentamos alguns pontos que nos permite de forma preliminar investigar sobre a divulgação dos algarismos indo-arábicos na Europa no século XIII, afinal, estes se constituem ao longo da história humana como um sistema universal. Com a
José dos Santos Guimarães Filho, João Cláudio Brandemberg   +1 more
doaj   +1 more source

The Golden Ratio of Gait Harmony: Repetitive Proportions of Repetitive Gait Phases

BioMed Research International, Volume 2013, Issue 1, 2013., 2013
In nature, many physical and biological systems have structures showing harmonic properties. Some of them were found related to the irrational number ϕ known as the golden ratio that has important symmetric and harmonic properties. In this study, the spatiotemporal gait parameters of 25 healthy subjects were analyzed using a stereophotogrammetric ...
Marco Iosa, Augusto Fusco, Fabio Marchetti, Giovanni Morone, Carlo Caltagirone, Stefano Paolucci, Antonella Peppe, Hitoshi Mochizuki   +7 more
wiley   +1 more source

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

Predictor‐Corrector Primal‐Dual Interior Point Method for Solving Economic Dispatch Problems: A Postoptimization Analysis

Mathematical Problems in Engineering, Volume 2012, Issue 1, 2012., 2012
This paper proposes a predictor‐corrector primal‐dual interior point method which introduces line search procedures (IPLS) in both the predictor and corrector steps. The Fibonacci search technique is used in the predictor step, while an Armijo line search is used in the corrector step.
Antonio Roberto Balbo, Márcio Augusto da Silva Souza, Edméa Cássia Baptista, Leonardo Nepomuceno, Jianming Shi   +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

Revisited Leonardo Fibonacci law of Golden Mean as surface-centric approach for form sustainable in design [PDF]

2012 IEEE Symposium on Business, Engineering and Industrial Applications, 2012
The Golden Proportion is also known as the Golden Mean, Phi, or Divine Proportion, this law was made famous by Leonardo Fibonacci around 1200 A.D. He noticed that there was an absolute ratio that appears often throughout nature, a sort of design that is universally efficient in living things and pleasing to the human eye.
Abu Ali, Wan Zaiyana Mohd, Siti Salwa Isa, Siti Suriawati Isa   +3 more
openaire   +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