Results 81 to 90 of about 12,986 (183)

THE GENERALIZED BINET FORMULA, REPRESENTATION AND SUMS OF THE GENERALIZED ORDER-$k$ PELL NUMBERS

open access: yesTaiwanese Journal of Mathematics, 2006
In this paper we give a new generalization of the Pell numbers in matrix representation. Also we extend the matrix representation and we show that the sums of the generalized order-k Pell numbers could be derived directly using this representation. Further we present some identities, the generalized Binet formula and combinatorial representation of the
Kiliç, Emrah, Taşci, Dursun
openaire   +4 more sources

Tools for relatedness: “Fetishes” in Burkina Faso and the work of enacted metaphors

open access: yesAmerican Anthropologist, Volume 127, Issue 2, Page 233-243, June 2025.
Abstract In West Africa, certain objects can act in the world and interact with people as subjects. Labeled “fetishes” by Europeans, these material things have generated centuries of debates on the nature of their agency. In this article, I rely on participant fieldwork as a student in a group of initiated donso hunters in Burkina Faso, which involved ...
Lorenzo Ferrarini
wiley   +1 more source

On One-Zero numbers: a new Horadam-type sequence

open access: yesIntermaths
Neste artigo, apresentamos uma nova sequência do tipo Horadam, que chamamos de sequência Um-Zero. Estudamos a equação de recorrência e mostramos a fórmula de Binet. O objetivo deste estudo é examinar as propriedades da sequência mencionada acima.
Eudes Antonio Costa   +2 more
doaj   +3 more sources

Os números híbridos de k-Mersenne e k-Oresme

open access: yesCQD Revista Eletrônica Paulista de Matemática, 2021
Baseada nas sequências de k-Mersenne e k-Oresme, este artigo traz um estudo referente aos números híbridos de k-Mersenne e k-Oresme. Desse modo, tem-se uma investigação em torno da fórmula de Binet e das funções geradoras para esses números.
Milena Carolina dos Santos Mangueira   +3 more
doaj  

A Historical Analysis of The Padovan Sequence

open access: yesInternational Journal of Trends in Mathematics Education Research, 2020
In the present text, we present some possibilities to formalize the mathematical content and a historical context, referring to a numerical sequence of linear and recurrent form, known as Sequence of Padovan or Cordonnier.
Renata Passos Machado Vieira   +2 more
doaj   +1 more source

Noncommutative determinants, Cauchy-Binet formulae, and Capelli-type identities. I. Generalizations of the Capelli and Turnbull identities

open access: yes, 2009
We prove, by simple manipulation of commutators, two noncommutative generalizations of the Cauchy-Binet formula for the determinant of a product. As special cases we obtain elementary proofs of the Capelli identity from classical invariant theory and of ...
Caracciolo, Sergio   +2 more
core   +1 more source

Binet – Type Formula For The Sequence of Tetranacci Numbers by Alternate Methods

open access: yesMathematical Journal of Interdisciplinary Sciences, 2019
The sequence {Tn} of Tetranacci numbers is defined by recurrence relation Tn= Tn-1 + Tn-2 + Tn-3 + Tn-4; n≥4 with initial condition T0=T1=T2=0 and T3=1. In this Paper, we obtain the explicit formulla-Binet-type formula for Tn by two different methods. We use the concept of Eigen decomposition as well as of generating functions to obtain the result.
null Gautam S. Hathiwala   +1 more
openaire   +2 more sources

Piecewise Certificates of Positivity for matrix polynomials

open access: yes, 2010
We show that any symmetric positive definite homogeneous matrix polynomial $M\in\R[x_1,...,x_n]^{m\times m}$ admits a piecewise semi-certificate, i.e. a collection of identites $M(x)=\sum_jf_{i,j}(x)U_{i,j}(x)^TU_{i,j}(x)$ where $U_{i,j}(x)$ is a matrix ...
Quarez, Ronan
core   +2 more sources

Bio-Inspired Network for Diagnosing Liver Steatosis in Ultrasound Images. [PDF]

open access: yesBioengineering (Basel), 2023
Yao Y, Zhang Z, Peng B, Tang J.
europepmc   +1 more source

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