Results 71 to 80 of about 302 (175)

On Period of the Sequence of Fibonacci Polynomials Modulo

Discrete Dynamics in Nature and Society, 2013
It is shown that the sequence obtained by reducing modulo coefficient and exponent of each Fibonacci polynomials term is periodic. Also if is prime, then sequences of Fibonacci polynomial are compared with Wall numbers of Fibonacci sequences according ...
İnci Gültekin, Yasemin Taşyurdu
doaj   +1 more source

Split Quaternionic Representations of Horadam Sequences and Their Binet, Generating Function, and Cassini‐Type Identities

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study establishes a novel algebraic connection between Horadam numbers and the split quaternion algebra. To this end, two fundamental constructs are introduced: the Fibonacci Sq,r‐split quaternions and the Horadam sq,r‐split quaternions, which generalize Horadam numbers within the framework of split quaternions.
İskender Öztürk, Hasan Çakır, Smritijit Sen   +2 more
wiley   +1 more source

Design and Experimental Characterization of a Tendon‐Driven Anthropomorphic Finger With Adaptive Compliance

Journal of Robotics, Volume 2026, Issue 1, 2026.
The primary objective of a soft robotic finger is to reproduce the functional versatility of the human hand by incorporating intrinsic flexibility. By mimicking the human finger’s morphology, structural organization, and kinematic behavior, the system enables anthropomorphic motion that provides enhanced adaptability and dexterity.
Blanka Bakos, Andrea Deaconescu, Tudor Deaconescu, Smritijit Sen   +3 more
wiley   +1 more source

(Random) Trees of Intermediate Volume Growth

Random Structures &Algorithms, Volume 67, Issue 4, December 2025.
ABSTRACT For every function g:ℝ≥0→ℝ≥0$$ g:{\mathbb{R}}_{\ge 0}\to {\mathbb{R}}_{\ge 0} $$ that grows at least linearly and at most exponentially, if it is sufficiently well‐behaved, we can construct a tree T$$ T $$ of uniform volume growth g$$ g $$, or more precisely, C1·g(r/4)≤|BG(v,r)|≤C2·g(4r),for allr≥0andv∈V(T),$$ {C}_1\cdotp g\left(r/4\right)\le \
George Kontogeorgiou, Martin Winter
wiley   +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

Generalized Fibonacci Polynomials and Their Properties

Symmetry
This study presents a unified framework for the simultaneous analysis of generalized Fibonacci numbers and their associated polynomial extensions, both of which play a significant role in combinatorial analysis and discrete mathematics. The generalized Fibonacci polynomials have been extended to four new families of polynomials, each defined through ...
Sibel Koparal, Nese Ömür, Sezer Boz, Khidir Shaib Mohamed, Waseem Ahmad Khan, Alawia Adam   +5 more
openaire   +2 more sources

Binomials transformation formulae for scaled Fibonacci numbers

Open Mathematics, 2017
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, Piątek Bożena, Wituła Roman   +2 more
doaj   +1 more source

Melham's sums for some Lucas polynomial sequences [PDF]

Notes on Number Theory and Discrete Mathematics
A Lucas polynomial sequence is a pair of generalized polynomial sequences that satisfy the Lucas recurrence relation. Special cases include Fibonacci polynomials, Lucas polynomials, and Balancing polynomials.
Chan-Liang Chung, Chunmei Zhong
doaj   +1 more source

AI in Neurology: Everything, Everywhere, All at Once Part 1: Principles and Practice

Annals of Neurology, Volume 98, Issue 2, Page 211-230, August 2025.
Artificial intelligence (AI) is rapidly transforming healthcare, yet it often remains opaque to clinicians, scientists, and patients alike. This review, part 1 of a 3‐part series, provides neurologists and neuroscientists with a foundational understanding of AI's key concepts, terminology, and applications.
Matthew Rizzo, Jeffrey D. Dawson
wiley   +1 more source

High‐resolution X‐ray scanning with a diffuse Huffman‐patterned probe to reduce radiation damage

Journal of Synchrotron Radiation, Volume 32, Issue 3, Page 700-717, May 2025.
This paper introduces high‐resolution imaging using diffuse probes, which allow for lower energy deposition per unit area per unit time, by encoding Huffman‐like patterns onto them, enabling a tighter impulse response. The approach, demonstrated in X‐ray imaging, involves using specially fabricated masks to shape the probe and recover sharp object ...
Alaleh Aminzadeh, Andrew M. Kingston, Lindon Roberts, David M. Paganin, Timothy C. Petersen, Imants D. Svalbe   +5 more
wiley   +1 more source