Results 71 to 80 of about 670 (184)

Machining Simulation of Recrystallized SiC: Failure Mechanisms, Numerical Influences, Tool Dynamics, and Friction Behavior

Journal of the American Ceramic Society, Volume 109, Issue 6, June 2026.
ABSTRACT This paper presents a comprehensive study on the machining simulation of recrystallized silicon carbide (R‐SiC), with a focus on material failure mechanisms, numerical influences, tool kinematics, and frictional behavior. A representative volume of interest was derived from CT data, and a meshing algorithm for CT‐based structures was ...
Simon Unseld, Stefan Kleiner, Achim Rösiger, Ralf Goller, Dietmar Koch   +4 more
wiley   +1 more source

Formulas Involving Cauchy Polynomials, Bernoulli Polynomials, and Generalized Stirling Numbers of Both Kinds

Axioms
In this paper, we derive novel formulas and identities connecting Cauchy numbers and polynomials with both ordinary and generalized Stirling numbers, binomial coefficients, central factorial numbers, Euler polynomials, r-Whitney numbers, and ...
José L. Cereceda
doaj   +1 more source

On Degenerate Truncated Special Polynomials

Mathematics, 2020
The main aim of this paper is to introduce the degenerate truncated forms of multifarious special polynomials and numbers and is to investigate their various properties and relationships by using the series manipulation method and diverse special proof ...
Ugur Duran, Mehmet Acikgoz
doaj   +1 more source

An Explicit, Compact, and Rotation‐Agnostic Formulation for Equivalent Nodal Loads for Point‐Loaded Beams

International Journal for Numerical Methods in Engineering, Volume 127, Issue 7, 15 April 2026.
ABSTRACT In time‐marching dynamical simulations, treatment of contact forces in deformable bodies represented by finite element meshes requires a compromise between simulation fidelity and computational costs. External forces directly evaluated at the mesh nodes offer better computational performance at the cost of modelling fidelity.
Alexander R. Schock, Mark Reckzin, Robert G. Langlois   +2 more
wiley   +1 more source

Bernoulli and euler polynomials [PDF]

, 2013
Master of Science in Mathematics. Thesis (M.S.)--Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics, 2013. Supervisor: Assoc. Prof. Dr. Sonuç Zorlu Oğurlu.ABSTRACT: This thesis provides an overview of Bernoulli and Euler
Çatma, Güneş
core  

A new family of q-Bernstein polynomials: probabilistic viewpoint

Arab Journal of Basic and Applied Sciences
In this paper, we introduce a new class of polynomials, called probabilistic q-Bernstein polynomials, alongside their generating function. Assuming [Formula: see text] is a random variable satisfying moment conditions, we use the generating function of ...
Ayse Karagenc, Mehmet Acikgoz, Serkan Araci   +2 more
doaj   +1 more source

Explicit relations on the degenerate type 2-unified Apostol–Bernoulli, Euler and Genocchi polynomials and numbers

Notes on Number Theory and Discrete Mathematics, 2023
The main aim of this paper is to introduce and investigate the degenerate type 2-unified Apostol–Bernoulli, Euler and Genocchi polynomials by using monomiality principle and operational methods. We give explicit relations and some identities for the degenerate type 2-unified Apostol–Bernoulli, Euler and Genocchi polynomials.
openaire   +1 more source

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

Identities Arising from a Certain Family of Special Combinatorial Numbers and Polynomials

Mathematics
The results obtained in this paper extend several identities and interpolation formulas previously established for the numbers y9,n(λ;a) to the higher-order case.
Damla Gun, Abdelmejid Bayad, Yilmaz Simsek   +2 more
doaj   +1 more source

Some New Identities of Genocchi Numbers and Polynomials involving Bernoulli and Euler polynomials

, 2012
In this paper, we will deal with some new formulae for two product Genocchi polynomials together with both Euler polynomials and Bernoulli polynomials. We get some applications for Genocchi polynomials. Our applications possess a number of interesting properties to study in Theory of Analytic numbers which we express in the present paper.
Araci, Serkan, Acikgoz, Mehmet, Şen, Erdoğan   +2 more
openaire   +2 more sources