Results 191 to 200 of about 2,057 (213)

Bifocal diffractive lenses based on the aperiodic Kolakoski sequence. [PDF]

open access: yesSci Rep
Garmendía-Martínez A   +4 more
europepmc   +1 more source

The Fibonacci Numbers: Exposed

Mathematics Magazine, 2003
Among numerical sequences, the Fibonacci numbers Fn have achieved a kind of celebrity status. Indeed, Koshy gushingly refers to them as one of the "two shining stars in the vast array of integer sequences" [16, p. xi]. The second of Koshy's "shining stars" is the Lucas numbers, a close relative of the Fibonacci numbers, about which we will say more ...
Robert Mena, Dan Kalman
openaire   +2 more sources

On the Fibonacci k-numbers

Chaos, Solitons & Fractals, 2007
Q1
Sergio Falcon, Ángel Plaza
openaire   +3 more sources

Fibonacci's Forgotten Number [PDF]

open access: possibleThe College Mathematics Journal, 2008
Ezra (Bud) Brown (ezbrown@math.vt.edu) grew up in New Orleans and has degrees from Rice and LSU. He arrived at Virginia Tech shortly after Hurricane Camille, and has been there ever since, with time out for sabbatical visits to Washington, DC (where he has spent his summers since 1993) and Munich.
Ezra Brown, Cornelius Brunson
openaire   +1 more source

The Ring of Fibonacci (Fibonacci “Numbers” with Matrix Subscript)

1991
Several authors (e.g., see [8]) have considered the Fibonacci numbers F x where the subscript x is an arbitrary real number and showed that these (complex) numbers enjoy most of the properties of the usual Fibonacci numbers F m (m integral). A quite natural extension of the numbers F x leads to the definition of the Fibonacci numbers F z and Lucas ...
Piero Filipponi   +2 more
openaire   +2 more sources

Quotients of Fibonacci Numbers

The American Mathematical Monthly, 2016
AbstractThere have been many articles in the MONTHLY on quotient sets over the years. We take a first step here into the p-adic setting, which we hope will spur further research.
Florian Luca, Stephan Ramon Garcia
openaire   +2 more sources

Applications of Fibonacci numbers

The Mathematical Gazette, 1979
One card up the sleeve of many a teacher of mathematics involves the Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, 34,…, in which each number is the sum of the preceding two. These numbers and the closely related golden ratio (√5 − 1):2 have intriguing geometric and algebraic properties and appear mysteriously in nature ([1], 160-172).
openaire   +2 more sources

Fibonacci numbers and trigonometry

The Mathematical Gazette, 2004
This article started life as an investigation into certain aspects of the Fibonacci numbers, ‘morphed’ seamlessly into the structure of some infinite matrices and finally resolved into a general set of results that link structural aspects of Fibonacci numbers with trigonometric and hyperbolic functions.
openaire   +2 more sources

Home - About - Disclaimer - Privacy