Results 51 to 60 of about 27,032 (189)

On Generalized Fibonacci Numbers

open access: yesCommunications in Advanced Mathematical Sciences, 2020
Fibonacci numbers and their polynomials have been generalized mainly by two ways: by maintaining the recurrence relation and varying the initial conditions, and by varying the recurrence relation and maintaining the initial conditions. In this paper, we
Isaac Owino Okoth, Fidel Oduol
doaj   +1 more source

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

open access: yesDecision 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

On Matrices with Bidimensional Fibonacci Numbers

open access: yesAnnales Mathematicae Silesianae
In this paper, the bidimensional extensions of the Fibonacci numbers are explored, along with a detailed examination of their properties, characteristics, and some identities.
Costa Eudes Antonio   +1 more
doaj   +1 more source

Hausdorff dimension of double‐base expansions and binary shifts with a hole

open access: yesBulletin 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

$p$-regularity of the $p$-adic valuation of the Fibonacci sequence [PDF]

open access: yes, 2015
We show that the $p$-adic valuation of the sequence of Fibonacci numbers is a $p$-regular sequence for every prime $p$. For $p \neq 2, 5$, we determine that the rank of this sequence is $\alpha(p) + 1$, where $\alpha(m)$ is the restricted period length ...
Medina, Luis A., Rowland, Eric
core   +1 more source

Traces of Hecke operators on Drinfeld modular forms for GL2(Fq[T])$\operatorname{GL}_2(\mathbb {F}_q[T])$

open access: yesMathematika, 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

On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives

open access: yesJournal of Applied Mathematics, 2014
We study the relationship of the Chebyshev polynomials, Fibonacci polynomials, and their rth derivatives. We get the formulas for the rth derivatives of Chebyshev polynomials being represented by Chebyshev polynomials and Fibonacci polynomials.
Yang Li
doaj   +1 more source

KAJIAN BARISAN FIBONACCI DAN APLIKASINYA PADA SUKU BARISAN YANG POSITIF [PDF]

open access: yes, 2009
In general, the problems that occur in the fibonacci sequence is to determine the n- tribe ( ) . So to find , so please be at least two tribes, regardless of the number-the number that are in sequence if the number is positive ornegative. \ud , From the
Rofitasari, Rosma
core  

Zarankiewicz bounds from distal regularity lemma

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.
Abstract Since Kővári, Sós and Turán proved upper bounds for the Zarankiewicz problem in 1954, much work has been undertaken to improve these bounds, and some have done so by restricting to particular classes of graphs. In 2017, Fox, Pach, Sheffer, Suk and Zahl proved better bounds for semialgebraic binary relations, and this work was extended by Do in
Mervyn Tong
wiley   +1 more source

The Magnetic Signature of Stress in Rocks

open access: yesGeophysical Research Letters, Volume 53, Issue 3, 16 February 2026.
Abstract Magnetic signatures preserved in rocks have long provided insight into Earth's evolution, revealing processes from plate tectonics to the habitability of Earth. While large impacts are known to impose extreme stresses (>1 GPa) and heat that fundamentally alters magnetic records, lower stresses typical of earthquakes have been considered ...
B. R. Kugabalan   +8 more
wiley   +1 more source

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