Results 31 to 40 of about 26,336 (246)

Some properties and extended Binet’s formula for the class of bifurcating Fibonacci sequence

Ratio Mathematica
One of the generalizations of Fibonacci sequence is a -Fibonacci sequence, which is further generalized in several other ways, some by conserving the initial conditions and others by conserving the related recurrence relation.
Daksha Manojbhai Diwan, Devbhadra V Shah, Vandana R Patel   +2 more
doaj   +1 more source

On (k,p)-Fibonacci numbers and matrices [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, some relations between the powers of any matrices X satisfying the equation Xᵏ-pXᵏ⁻¹-(p-1)X-I=0 and (k,p)-Fibonacci numbers are established with ...
Sinan Karakaya, Halim Özdemir, Tuğba Demirkol   +2 more
doaj   +1 more source

LINEARLIZATION OF GENERALIZED FIBONACCI SEQUENCES [PDF]

Korean Journal of Mathematics, 2014
Summary: In this paper, we give linearization of generalized Fibonacci sequences \(\{g_n\}\) and \(\{q_n\}\), respectively, defined by Gupta et al. and Edson et al. and use this result to give the matrix form of the \(n\)-th power of a companion matrix of \(\{g_n\}\) and \(\{q_n\}\). Then we re-prove the Cassini's identity for \(\{g_n\}\) and \(\{q_n\}\
Jang, Young Ho, Jun, Sang Pyo
openaire   +2 more sources

Solidification performance of new trapezoidal longitudinal fins in latent heat thermal energy storage

Case Studies in Thermal Engineering, 2021
In order to improve the solidification performance of latent heat thermal energy storage system, a new trapezoidal longitudinal outer fin distributed by Fibonacci sequence is proposed due to the low thermal conductivity of phase change material. Firstly,
Xinyu Huang, Shouguang Yao
doaj   +1 more source

Pole‐To‐Pole 3D Radial Trajectory Designs Improve Image Quality and Quantitative Parametric Mapping in the Brain and Heart

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To design 3D radial spiral phyllotaxis trajectories aimed at removing phase inconsistencies, improving image quality, and enhancing parametric mapping accuracy by acquiring nearly opposing spokes starting from both hemispheres in 3D radial k‐space. Methods Two 3D radial trajectories, pole‐to‐pole and continuous spiral phyllotaxis, were
Eva S. Peper, Grzegorz Bauman, Matteo Tagliabue, Berk C. Açikgöz, Nils M. J. Plähn, Adèle L. C. Mackowiak, Yasaman Safarkhanlo, Joseph G. Woods, Davide Piccini, Li Feng, Christopher W. Roy, Oliver Bieri, Jessica A. M. Bastiaansen   +12 more
wiley   +1 more source

Factorizations of the Fibonacci Infinite Word [PDF]

, 2015
The aim of this note is to survey the factorizations of the Fibonacci infinite word that make use of the Fibonacci words and other related words, and to show that all these factorizations can be easily derived in sequence starting from elementary ...
Fici, Gabriele
core   +1 more source

Fourier analyses of commensurability oscillations in Fibonacci lateral superlattices

, 2008
Magnetotransport measurements have been performed on Fibonacci lateral superlattices (FLSLs) -- two-dimensional electron gases subjected to a weak potential modulation arranged in the Fibonacci sequence, LSLLSLS..., with L/S=tau (the golden ratio ...
A. Endo, A. Endo, A. Endo, A. Endo, A. S. Posamentier, Akira Endo, B. Milton, C. W. J. Beenakker, J. M. Cowley, M. R. Shroeder, R. A. Dunlap, S. Aubry, Yasuhiro Iye   +12 more
core   +1 more source

Binomial transform of the bivariate Fibonacci quaternion polynomials and its properties [PDF]

Notes on Number Theory and Discrete Mathematics
The primary aim of this work is to deal with binomial transforms of bivariate Fibonacci quaternion polynomial sequence. The binomial sequence of the bivariate Fibonacci quaternion polynomial is found, and then results are obtained for the recurrence ...
Faruk Kaplan, Arzu Özkoç Öztürk
doaj   +1 more source

Block scheduling in practice: An optimal decomposition strategy for nonidentical operating rooms

Decision Sciences, EarlyView.
Abstract We develop and implement a Master Surgery Schedule for a real‐life hospital, assigning operating room (OR) time to surgical specialties over a multi‐week horizon. Through action research, we identify a critical operational challenge: the issue of split blocks. Split blocks allow two specialties to share an OR on the same day—one in the morning,
Vincent J. J. van Ham, Alex Kuiper, Robert H. Lee   +2 more
wiley   +1 more source

From Fibonacci to the mathematics of cows and quantum circuitry [PDF]

, 2014
The Fibonacci sequence is a famously well-known integer sequence from the thirteenth century which has transcended its original motivation. It possesses many interested and varied applications within architecture, engineering and science. Less well known
Wilmott, CM
core