Results 31 to 40 of about 3,791 (167)

Some properties and extended Binet’s formula for the class of bifurcating Fibonacci sequence

Ratio Mathematica
One of the generalizations of Fibonacci sequence is a -Fibonacci sequence, which is further generalized in several other ways, some by conserving the initial conditions and others by conserving the related recurrence relation.
Daksha Manojbhai Diwan, Devbhadra V Shah, Vandana R Patel   +2 more
doaj   +1 more source

On Generalized Fibonacci Numbers

Communications 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

Improving Maximum Tolerated Dose Selection in Model‐Assisted Designs for Phase I Trials Through Bayesian Dose–Response Model

Pharmaceutical Statistics, Volume 24, Issue 6, November/December 2025.
ABSTRACT Model‐assisted designs have garnered significant attention in recent years due to their high accuracy in identifying the maximum tolerated dose (MTD) and their operational simplicity. To identify the MTD, they employ estimated dose limiting toxicity (DLT) probabilities via isotonic regression with pool‐adjacent violators algorithm (PAVA) after
Rentaro Wakayama, Tomotaka Momozaki, Shuji Ando   +2 more
wiley   +1 more source

Register‐Based and Stack‐Based Virtual Machines: Which Perform Better in JIT Compilation Scenarios?

Software: Practice and Experience, Volume 55, Issue 11, Page 1896-1910, November 2025.
ABSTRACT Background Just‐In‐Time (JIT) compilation plays a critical role in optimizing the performance of modern virtual machines (VMs). While the architecture of VMs–register‐based or stack‐based–has long been a subject of debate, empirical analysis focusing on JIT compilation performance is relatively sparse. Objective In this study, we aim to answer
Bohuslav Šimek, Dalibor Fiala, Martin Dostal   +2 more
wiley   +1 more source

Micromagnetic Simulations of Chemical Remanent Magnetization Acquisition in Single‐Vortex Magnetite Particles

Geophysical Research Letters, Volume 52, Issue 20, 28 October 2025.
Abstract Magnetic minerals can preserve remanent magnetization to provide ancient magnetic field records. Although thermoremanent magnetization (TRM) is well understood, chemical remanent magnetization (CRM) from chemical processes is also prevalent in nature and can complicate TRM records by introducing additional remanence signals.
Shichu Chen, Liao Chang, Wyn Williams
wiley   +1 more source

An adaptive block‐wise prediction error‐based (AdaBPE) reversible data hiding in encrypted images for medical image transmission

CAAI Transactions on Intelligence Technology, Volume 10, Issue 5, Page 1269-1290, October 2025.
Abstract Life expectancy has improved with new‐age technologies and advancements in the healthcare sector. Though artificial intelligence (AI) and the Internet of Things (IoT) are revolutionising smart healthcare systems, security of the healthcare data is always a concern.
Shaiju Panchikkil, Vazhora Malayil Manikandan, Partha Pratim Roy, Shuihua Wang, Yudong Zhang   +4 more
wiley   +1 more source

On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives

Journal 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

Developing an Accounting Virtual Assistant Through Supervised Fine‐Tuning (SFT) of a Small Language Model (SLM)

Intelligent Systems in Accounting, Finance and Management, Volume 32, Issue 3, September 2025.
ABSTRACT The development of an in‐house accounting bot—an artificial intelligence (AI) assistant capable of generating internally structured bookkeeping double‐entry posting schemes—is explored in this paper. The processes of curating a suitable dataset, selecting, and fine‐tuning a seven‐billion‐parameter language model, categorized as a small ...
Mario Zupan
wiley   +1 more source

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, Naime Şeyda Türkoğlu   +1 more
doaj   +1 more source

Fundamental Solutions and Green's Functions for Certain Elliptic Differential Operators From a Pseudodifferential Algebra

Mathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 12654-12674, September 2025.
ABSTRACT We have studied possible applications of a particular pseudodifferential algebra in singular analysis for the construction of fundamental solutions and Green's functions of a certain class of elliptic partial differential operators. The pseudodifferential algebra considered in the present work, comprises degenerate partial differential ...
Heinz‐Jürgen Flad, Gohar Flad‐Harutyunyan   +1 more
wiley   +1 more source