Results 51 to 60 of about 31,396 (204)
On a problem of Pillai with k-generalized Fibonacci numbers and powers of 2
, 2018 For an integer $ k\geq 2 $, let $ \{F^{(k)}_{n} \}_{n\geq 0}$ be the $ k$--generalized Fibonacci sequence which starts with $ 0, \ldots, 0, 1 $ ($ k $ terms) and each term afterwards is the sum of the $k$ preceding terms.
Ddamulira, M., Gómez, C., Luca, F.
core +1 more source
Block scheduling in practice: An optimal decomposition strategy for nonidentical operating rooms
Decision Sciences, Volume 57, Issue 2, Page 95-116, April 2026.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 +2 more
wiley +1 more source
Non-Fisherian generalized Fibonacci numbers [PDF]
Notes on Number Theory and Discrete MathematicsUsing biology as inspiration, this paper explores a generalization of the Fibonacci sequence that involves gender biased sexual reproduction. The female, male, and total population numbers along with their associated recurrence relations are considered ...
Thor Martinsen
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Spectral properties of two coupled Fibonacci chains
New Journal of Physics, 2023 The Fibonacci chain, i.e. a tight-binding model where couplings and/or on-site potentials can take only two different values distributed according to the Fibonacci word, is a classical example of a one-dimensional quasicrystal.
Anouar Moustaj +4 more
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Analysis of a Nature-Inspired Shape for a Vertical Axis Wind Turbine
Applied Sciences, 2022 Wind energy is gaining special interest worldwide due to the necessity of reducing pollutant emissions and employ renewable resources. Traditionally, horizontal axis wind turbines have been employed but certain situations require vertical axis wind ...
Javier Blanco Damota +5 more
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On a problem of Pillai with Fibonacci numbers and powers of 2
, 2017 In this paper, we find all integers c having at least two representations as a difference between a Fibonacci number and a power of 2.Comment: 11 ...
Ddamulira, Mahadi +2 more
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Hausdorff dimension of double‐base expansions and binary shifts with a hole
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract For two real bases q0,q1>1$q_0, q_1 > 1$, a binary sequence i1i2⋯∈{0,1}∞$i_1 i_2 \cdots \in \lbrace 0,1\rbrace ^\infty$ is the (q0,q1)$(q_0,q_1)$‐expansion of the number πq0,q1(i1i2⋯)=∑k=1∞ikqi1⋯qik.$$\begin{equation*} \pi _{q_0,q_1}(i_1 i_2 \cdots) = \sum _{k=1}^\infty \frac{i_k}{q_{i_1} \cdots q_{i_k}}.
Jian Lu, Wolfgang Steiner, Yuru Zou
wiley +1 more source
Resonant Fibonacci Quantum Well Structures
, 2007 We propose a resonant one-dimensional quasicrystal, namely, a multiple quantum well (MQW) structure satisfying the Fibonacci-chain rule with the golden ratio between the long and short inter-well distances.
A. N. Poddubny +7 more
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Mathematika, Volume 72, Issue 2, April 2026.Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley +1 more source
Some results on one type of graph family with some special number sequences
AKCE International Journal of Graphs and Combinatorics, 2020 In this study, we introduce a new graph family. Then, we calculate eigenvalues of the adjacency and the Laplacian matrix of this graph family. Moreover, we show that the perfect matching number of this graph family equals to special second order ...
Emrullah Kirklar +2 more
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