Results 101 to 110 of about 9,659,868 (257)
Rational approximation of golden angles: Accelerated reconstructions for radial MRI
Magnetic Resonance in Medicine, Volume 93, Issue 1, Page 51-66, January 2025.Abstract Purpose To develop a generic radial sampling scheme that combines the advantages of golden ratio sampling with simplicity of equidistant angular patterns. The irrational angle between consecutive spokes in golden ratio‐based sampling schemes enables a flexible retrospective choice of temporal resolution, while preserving good coverage of k ...
Nick Scholand +8 more
wiley +1 more source
Categorification of the Fibonacci numbers using representations of quivers [PDF]
arXiv, 2011 In a previous paper we have presented a partition formula for the even-index Fibonacci numbers using the preprojective representations of the 3-Kronecker quiver and its universal cover, the 3-regular star. Now we deal in a similar way with the odd-index Fibonacci numbers.
arxiv
Fibonacci numbers and Ford circles [PDF]
arXiv, 2020 An amusing connection between Ford circles, Fibonacci numbers, and golden ratio is shown. Namely, certain tangency points of Ford circles are concyclic and involve Fibonacci numbers. They form four circles that cut the x-axis at points related to the golden ratio.
arxiv
Fibonacci Modules and Multiple Fibonacci Sequences [PDF]
arXiv, 2008 Double Fibonacci sequences are introduced and they are related to operations with Fibonacci modules. Generalizations and examples are also discussed.
arxiv
On Doubled and Quadrupled Fibonacci Type Sequences
Annales Mathematicae SilesianaeIn this paper we study a family of doubled and quadrupled Fibonacci type sequences obtained by distance generalization of Fibonacci sequence. In particular we obtain doubled Fibonacci sequence, doubled and quadrupled Padovan sequence and quadrupled ...
Yilmaz Nur Şeyma +3 more
doaj +1 more source
On the spectra of generalized Fibonacci and Fibonacci-like operators [PDF]
Operators and Matrices, Volume 6, Number 1 (2012) 49-62, 2011 We analyze the spectra of generalized Fibonacci and Fibonacci-like operators in Banach space $l^1$. Some of the results have application in population dynamics.
arxiv
On the distance between products of consecutive Fibonacci numbers and powers of Fibonacci numbers
Indagationes Mathematicae, 2013 Abstract Here, we find a lower bound for | F n ⋯ F n + k − 1 − F m l | for positive integers k , l , m and n in terms of max { k , l , m , n } , where F s is the s th Fibonacci number.
Takao Komatsu +2 more
openaire +2 more sources
Total Graph Interpretation of the Numbers of the Fibonacci Type
Journal of Applied Mathematics, 2015 We give a total graph interpretation of the numbers of the Fibonacci type. This graph interpretation relates to an edge colouring by monochromatic paths in graphs. We will show that it works for almost all numbers of the Fibonacci type. Moreover, we give
Urszula Bednarz +2 more
doaj +1 more source
Fibonacci Numbers and Their Applications [PDF]
, 1986 Fibonaccene.- On a Class of Numbers Related to Both the Fibonacci and Pell Numbers.- A Property of Unit Digits of Fibonacci Numbers.- Some Properties of the Distributions of Order k.- Convolutions for Pell Polynomials.- Cyclotomy-Generated Polynomials of Fibonacci Type.- On Generalized Fibonacci Process.- Fibonacci Numbers of Graphs III: Planted Plane ...
Andreas N. Philippou +2 more
openaire +2 more sources
Psychoacoustic Properties of Fibonacci Sequences
Acta Polytechnica, 2008 1202, Fibonacci set up one of the most interesting sequences in number theory. This sequence can be represented by so-called Fibonacci Numbers, and by a binary sequence of zeros and ones.
J. Sokoll, S. Fingerhuth
doaj