Results 21 to 30 of about 51,212 (178)
The complex-type cyclic-Fibonacci sequence and its applications [PDF]
Journal of Mahani Mathematical Research, 2023 In the present paper, we aim to generalize the notion of complex-type Fibonacci sequences to complex-type cyclic Fibonacci sequences. Firstly, we define the complex-type cyclic-Fibonacci sequence and then we give miscellaneous properties of this ...
Ömür Deveci +2 more
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Anomalous thermal conductivity and local temperature distribution on harmonic Fibonacci chains [PDF]
, 2002 The harmonic Fibonacci chain, which is one of a quasiperiodic chain constructed with a recursion relation, has a singular continuous frequency-spectrum and critical eigenstates. The validity of the Fourier law is examined for the harmonic Fibonacci chain
Bonetto F +10 more
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Counting Maximal Distance-Independent Sets in Grid Graphs
Discussiones Mathematicae Graph Theory, 2013 Previous work on counting maximal independent sets for paths and certain 2-dimensional grids is extended in two directions: 3-dimensional grid graphs are included and, for some/any ℓ ∈ N, maximal distance-ℓ independent (or simply: maximal ℓ-independent ...
Euler Reinhardt +2 more
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Fibonacci Topological Superconductor [PDF]
Physical Review Letters, 2018 We introduce a model of interacting Majorana fermions that describes a superconducting phase with a topological order characterized by the Fibonacci topological field theory. Our theory, which is based on a $SO(7)_1/(G_2)_1$ coset factorization, leads to a solvable one dimensional model that is extended to two dimensions using a network construction ...
Hu, Yichen, Kane, C. L.
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The phyllotaxis of the aortic valve
Monaldi Archives for Chest Disease, 2019 Biological systems ubiquitously and inevitably exhibit stochasticity in traits from the molecular level to the multicellular and morphological level.
Marco Moscarelli, Ruggero De Paulis
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Novel Fibonacci and non-Fibonacci structure in the sunflower: results of a citizen science experiment [PDF]
Royal Society Open Science, 2016 This citizen science study evaluates the occurrence of Fibonacci structure in the spirals of sunflower (Helianthus annuus) seedheads. This phenomenon has competing biomathematical explanations, and our core premise is that observation of both Fibonacci ...
Jonathan Swinton, Erinma Ochu,
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Editorial: A note on Papal Mathematics [PDF]
Notes on Number Theory and Discrete MathematicsMany recent media claims that Pope Leo XIV, Robert F. Prevost, born in the USA and elected in 2025 in succession to Pope Francis, is the first mathematician to become the Pope of the Catholic Church are questionable. That honour probably belongs to Pope
Anthony G. Shannon
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Applied Mathematics Letters, 1988 The Fibonacci sequence \(\{F_ n\}\) is defined as follows: \(F_ 0=0\), \(F_ 1=1\), \(F_ k=F_{k-1}+F_{k-2}\) for \(k\geq 2\). A well-known theorem, due to Zeckendorf, states that every natural number has a unique representation as a sum of distinct Fibonacci numbers, if we stipulate that \(F_ 0\) and \(F_ 1\) are not used in the representation and that ...
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Bi-Periodic (p,q)-Fibonacci and Bi-Periodic (p,q)-Lucas Sequences
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2023 In this paper, we define bi-periodic (p,q)-Fibonacci and bi-periodic (p,q)-Lucas sequences, which generalize Fibonacci type, Lucas type, bi-periodic Fibonacci type and bi-periodic Lucas type sequences, using recurrence relations of (p,q)-Fibonacci and (p,
Yasemin Taşyurdu +1 more
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