Results 51 to 60 of about 209 (173)

Closed Form Relations and Higher‐Order Approximations of First and Second Derivatives of the Tangent Operator on SE(3)

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 4, April 2026.
ABSTRACT The Lie group SE3$SE\left(3\right)$ of isometric orientation‐preserving transformation is used for modeling multibody systems, robots, and Cosserat continua. The use of these models in numerical simulation and optimization schemes necessitates the exponential map, its right‐trivialized differential (often referred to as the tangent operator ...
Andreas Müller
wiley   +1 more source

Old and New Identities for Bernoulli Polynomials via Fourier Series

International Journal of Mathematics and Mathematical Sciences, 2012
The Bernoulli polynomials Bk restricted to [0,1) and extended by periodicity have nth sine and cosine Fourier coefficients of the form Ck/nk. In general, the Fourier coefficients of any polynomial restricted to [0,1) are linear combinations of terms of ...
Luis M. Navas, Francisco J. Ruiz, Juan L. Varona   +2 more
doaj   +1 more source

Experimental Design and Predictive Modeling of Hybrid Jute/Kenaf/Glass Fiber Polymer Composites With SiC Nanoparticles for Enhanced Flexural and Hardness Performance

Engineering Reports, Volume 8, Issue 3, March 2026.
Hybrid composites of jute, kenaf, and glass fibers with SiC nanoparticles were optimized using RSM and ANN. Optimal configuration improved flexural strength by 18% and hardness by 32%, demonstrating machine‐learning‐guided design for superior structural performance.
Solairaju Jothi Arunachalam, R. Saravanan, Sathish Thanikodi, G. Vinuja, Feras Alnaimat, A. Anderson, A. Johnson Santhosh   +6 more
wiley   +1 more source

Exploring probabilistic Bernstein polynomials: identities and applications

Applied Mathematics in Science and Engineering
In this paper, we introduce the probabilistic Bernstein polynomials and derive new and interesting correlations among several special functions and special number sequences such as Euler polynomials, Bernoulli polynomials of higher order, Frobenius–Euler
Ayse Karagenc, Mehmet Acikgoz, Serkan Araci   +2 more
doaj   +1 more source

Some identities involving Bernoulli, Euler and degenerate Bernoulli numbers and their applications

Applied Mathematics in Science and Engineering, 2023
The paper has two main objectives. Firstly, it explores the properties of hyperbolic cosine and hyperbolic sine functions by using Volkenborn and the fermionic p-adic integrals, respectively.
Taekyun Kim, Dae San Kim, Hye Kyung Kim
doaj   +1 more source

Novel Formulas for B-Splines, Bernstein Basis Functions, and Special Numbers: Approach to Derivative and Functional Equations of Generating Functions

Mathematics, 2023
The purpose of this article is to give relations among the uniform B-splines, the Bernstein basis functions, and certain families of special numbers and polynomials with the aid of the generating functions method.
Yilmaz Simsek
doaj   +1 more source

Lagrangian Acceleration as a Diagnostic for Wave Breaking in the Nearshore Zone

Journal of Geophysical Research: Oceans, Volume 131, Issue 3, March 2026.
Abstract This study focuses on evaluating the Lagrangian downward acceleration of fluid particles near the wavecrest as a dynamic criterion for identification of wave breaking in shallow water. The use of the downward acceleration as an indicator for wave breaking goes back to the work of Longuet‐Higgins (1963), https://doi.org/10.1017 ...
Rosa Maria Vargas‐Magaña, Henrik Kalisch, Marc Buckley, Maria Bjørnestad, Tessa Gronemann, Karoline Holand, Jochen Horstmann, Michael Streßer, Sébastien Fromenteau   +8 more
wiley   +1 more source

Advances in Delamination Analysis and Damage Prediction: A Comprehensive Review on Polymer Composite Materials

Engineering Reports, Volume 8, Issue 2, February 2026.
This comprehensive study advances delamination analysis in composites through innovative computational methods, experimental validation techniques, and predictive algorithms, collectively enhancing damage progression prediction and structural health monitoring for improved integrity in high‐performance applications.
Dhivya Elumalai, Ananda Babu Arumugam, Yitbarek Gashaw Tadesse, Mesfin Kebede Kassa, Mohit Gupta   +4 more
wiley   +1 more source

A parametric unified Apostol-type Bernoulli, Euler, Genocchi, Fubini polynomials and numbers

Filomat, 2023
In recent years, mathemacians ([1], [3], [5], [22], [23]) introduced and investigated the Fubini Apostol-type numbers and polynomials. They gave some recurrence relations explicit properties and identities for these polynomials. In [12], author considered unified degenerate Apostol-type Bernoulli, Euler, Genocchi and Fubini polynomials and ...
openaire   +1 more source

Design and Development of an Accessible Clip Gauge Extensometer for CMOD Measurement in Fracture Mechanics

Engineering Reports, Volume 8, Issue 2, February 2026.
A low‐cost clip gauge extensometer for crack mouth opening displacement was developed from accessible procedures and materials. Accuracy and repeatability comparable to commercial devices were demonstrated in calibration and fracture tests, enabling reliable measurement in CT specimens for resource‐constrained laboratories.
Isaías Chamorro‐Cruz, Alessandra Gallegos‐Sánchez, Hilario Hernández‐Moreno, Esteban Antunez‐Valencia, Sergio Guillermo Torres‐Cedillo, Gabriella Piccinelli Bocchi, Jorge Iván Reyes‐Guzmán, José Alberto Picaso‐Martínez, Jacinto Cortés‐Pérez   +8 more
wiley   +1 more source