Results 61 to 70 of about 29,133 (216)
Binomials transformation formulae for scaled Fibonacci numbers
The aim of the paper is to present the binomial transformation formulae of Fibonacci numbers scaled by complex multipliers. Many of these new and nontrivial relations follow from the fundamental properties of the so-called delta-Fibonacci numbers defined
Hetmaniok Edyta +2 more
doaj +1 more source
On Quaternion-Gaussian Fibonacci Numbers and Their Properties
We study properties of Gaussian Fibonacci numbers. We start with some basic identities. Thereafter, we focus on properties of the quaternions that accept gaussian Fibonacci numbers as coefficients.
Halici Serpil, Cerda-Morales Gamaliel
doaj +1 more source
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 +2 more
wiley +1 more source
Shifted Fibonacci numbers have been examined in the literature in terms of the greatest common divisor, but appropriate definitions and fundamental equations have not been worked on. In this article, we have obtained the Binet formula, which is a fundamental equation used to obtain the necessary element of the shifted Fibonacci number sequence ...
openaire +5 more sources
Register‐Based and Stack‐Based Virtual Machines: Which Perform Better in JIT Compilation Scenarios?
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 +2 more
wiley +1 more source
Modeling the Crustal Magnetic Field of Mars With Physics‐Informed Neural Networks
Abstract Satellites orbiting Mars have measured crustal magnetic fields up to two orders of magnitude stronger than those on Earth. Although Mars currently lacks an active global magnetic field, this magnetization preserves a valuable record of the planet's early dynamo activity and crustal evolution.
T. Delcourt, A. Mittelholz
wiley +1 more source
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
Sums of Fibonacci numbers close to a power of 2 [PDF]
Elchin Hasanalizade
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Fibonacci factoriangular numbers
A recent conjecture is proved asserting that \(2, 5\), and \(34\) are the only Fibonacci numbers that are of the form \(n! + n(n+1)/2\) for some integer \(n\). The main tool to prove it is an upper bound for a non-zero \(p\)-adic linear form in two logarithms of algebraic numbers.
Gómez Ruiz, C. +1 more
openaire +4 more sources
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 +4 more
wiley +1 more source

