Results 41 to 50 of about 16,304 (189)

Aperiodic Quantum Random Walks

, 2004
We generalize the quantum random walk protocol for a particle in a one-dimensional chain, by using several types of biased quantum coins, arranged in aperiodic sequences, in a manner that leads to a rich variety of possible wave function evolutions ...
J. Kempe, J. X. Zhong, P. Milman, P. Ribeiro, R. Mosseri   +4 more
core   +2 more sources

Pole‐To‐Pole 3D Radial Trajectory Designs Improve Image Quality and Quantitative Parametric Mapping in the Brain and Heart

Magnetic Resonance in Medicine, Volume 95, Issue 5, Page 2627-2643, May 2026.
ABSTRACT Purpose To design 3D radial spiral phyllotaxis trajectories aimed at removing phase inconsistencies, improving image quality, and enhancing parametric mapping accuracy by acquiring nearly opposing spokes starting from both hemispheres in 3D radial k‐space. Methods Two 3D radial trajectories, pole‐to‐pole and continuous spiral phyllotaxis, were
Eva S. Peper, Grzegorz Bauman, Matteo Tagliabue, Berk C. Açikgöz, Nils M. J. Plähn, Adèle L. C. Mackowiak, Yasaman Safarkhanlo, Joseph G. Woods, Davide Piccini, Li Feng, Christopher W. Roy, Oliver Bieri, Jessica A. M. Bastiaansen   +12 more
wiley   +1 more source

Copper ratio obtained by generalizing the Fibonacci sequence

AIP Advances
In this study, we define a new generalization of the Fibonacci sequence that gives the copper ratio, and we will call it the copper Fibonacci sequence. In addition, inspired by the copper Fibonacci definition, we also define copper Lucas sequences, and ...
Engin Özkan, Hakan Akkuş
doaj   +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, Alex Kuiper, Robert H. Lee   +2 more
wiley   +1 more source

Elliptic Solutions of Dynamical Lucas Sequences

Entropy, 2021
We study two types of dynamical extensions of Lucas sequences and give elliptic solutions for them. The first type concerns a level-dependent (or discrete time-dependent) version involving commuting variables. We show that a nice solution for this system
Michael J. Schlosser, Meesue Yoo
doaj   +1 more source

Generalized Fibonacci – Like Sequence Associated with Fibonacci and Lucas Sequences [PDF]

Turkish Journal of Analysis and Number Theory, 2016
The Fibonacci sequence, Lucas numbers and their generalization have many interesting properties and applications to almost every field. Fibonacci sequence is defined by the recurrence formula Fn=Fn-1+Fn-2, , and F0=0, F1=1, where Fn is a nth number of sequence.
Yogesh Kumar Gupta, Mamta Singh, Omprakash Sikhwal   +2 more
openaire   +1 more source

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

Transformations of Pythagorean triples generated by generalized Fibonacci numbers [PDF]

Notes on Number Theory and Discrete Mathematics
We present matrices that transform Pythagorean triples arising from generalized Fibonacci sequences into other such triples. We also show that entries in the powers of such matrices can be expressed in terms of generalized Fibonacci sequences.
Jathan Austin
doaj   +1 more source

Trees and Meta-Fibonacci Sequences [PDF]

The Electronic Journal of Combinatorics, 2009
For $k>1$ and nonnegative integer parameters $a_p, b_p$, $p = 1..k$, we analyze the solutions to the meta-Fibonacci recursion $C(n)=\sum_{p=1}^k C(n-a_p-C(n-b_p))$, where the parameters $a_p, b_p$, $p = 1..k$ satisfy a specific constraint. For $k=2$ we present compelling empirical evidence that solutions exist only for two particular families of ...
Isgur, Abraham, Reiss, David, Tanny, Stephen   +2 more
openaire   +2 more sources

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

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