Results 51 to 60 of about 26,336 (246)
Automating Algorithm Experiments With ALGator: From Problem Modeling to Reproducible Results
ABSTRACT Background Theoretical algorithm analysis provides fundamental insights into algorithm complexity but relies on simplified and often outdated computational models. Experimental algorithmics complements this approach by evaluating the empirical performance of algorithm implementations on real data and modern computing platforms.
Tomaž Dobravec
wiley +1 more source
On a problem of Pillai with k-generalized Fibonacci numbers and powers of 2
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
Fibonacci Ideal Convergence on Intuitionistic Fuzzy Normed Linear Spaces
The main goal of this article is to present the notion of Fibonacci I-convergence of sequences on intuitionistic fuzzy normed linear space. To accomplish this goal, we mainly investigate some fundamental properties of the newly introduced notion.
Ömer Kişi, Pradip Debnath
doaj +1 more source
Trees and Meta-Fibonacci Sequences [PDF]
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 +2 more
openaire +2 more sources
Dual Proximal Groups Concisely Representing Complex Hosoya Triangles
This paper introduces dual proximal groups (DPGs) that provide concise representation of complex Hosoya triangles (CHTs). An application is given in terms of the DPG representation of collections of Hosoya‐Hilbert circular triangles on modulated motion waveforms in sequences of video frames. MSC2020 Classification: 11B39,54E05,57S25.
Kübra Gül +3 more
wiley +1 more source
The Fibonacci and Lucas sequences are well-known examples of second order recurrence sequences, which belong to particular class of recursive sequences. In this article, Fibonacci-Like sequence is introduced and defined by 1 2 0 1 2 for 2 with 2 , 1. n n n H H H n H H The Binet’s formula and generating function of Fibonacci-Like sequence ...
Shikha Bhatnagar +2 more
openaire +2 more sources
A Pincherle‐Type Convergence Theorem for Generalized Continued Fractions in Banach Algebras
This contribution is dedicated to the interdependence of higher order linear difference equations and generalized continued fractions in Banach algebras. It turns out that the computation of certain subdominant solutions of a higher order linear difference equation can be done more efficiently by considering its adjoint equation.
Hendrik Baumann +2 more
wiley +1 more source
Nature‐Inspired Design Strategies for Efficient Atmospheric Water Harvesting
This review presents advances in bioinspired atmospheric water harvesting systems, emphasizing how structural motifs such as wettability gradients, directional transport, and hierarchical porosity have been translated into engineered fog‐collection and vapor‐sorption strategies for enhanced water uptake, accelerated transport, and energy‐efficient ...
Yunchan Lee, Shouhong Fan, Shu Yang
wiley +1 more source
Fibonacci signals with timing jitter
The power spectral density of a signal comprised of a sequence of Dirac $ \delta $-functions at successive times determined by a Fibonacci sequence is the temporal analog of the well known structure factor for a Fibonacci chain.
D. S. Citrin
doaj +1 more source
On the reciprocal products of generalized Fibonacci sequences [PDF]
Tingting Du, Zhengang Wu
openalex +1 more source

