Results 41 to 50 of about 1,596 (244)

Painleve Equations and Orthogonal Polynomials [PDF]

open access: yes, 2016
In this thesis we classify all of the special function solutions to Painleve equations and all their associated equations produced using their Hamiltonian structures.
Smith, James
core  

The μ-polynomials of graph associahedra. [PDF]

open access: yes, 2022
We study two polynomials associated to a graph G that are of interest in the recent literature. The first one is the h-polynomial of the graph-associahedron of G defined by Carr and Devadoss.
Ávila Ramírez, Nicolás
core  

Generalized Tribonacci Polynomials

open access: yes, 2023
In this paper, we investigate the generalized Tribonacci polynomials and we deal with, in detail, two special cases which we call them (r,s,t)-Tribonacci and (r,s,t)-Tribonacci-Lucas polynomials.
Yüksel Soykan
core   +1 more source

Investigation of Laser Ablation and Brush Pre‐Treatments for AlCu Cold Roll Bonding in Oxygen‐Free Conditions

open access: yesAdvanced Engineering Materials, EarlyView.
It is shown that laser ablation pretreatment under oxygen‐free conditions enables copper–aluminium bonding at significantly lower deformation degrees and improved properties compared to mechanical brushing. Laser ablation further increases interface contact area and induces favourable residual stress states and microstructural compatibility ...
Khemais Barienti   +11 more
wiley   +1 more source

Several Determinantal Expressions of Generalized Tribonacci Polynomials and Sequences

open access: yes, 2020
In the paper, the authors present several explicit formulas for the $(p,q,r)$-Tribonacci polynomials and generalized Tribonacci sequences in terms of the Hessenberg determinants and, consequently, derive several explicit formulas for the Tribonacci ...
Wei Shih Du, Can Kizilates, Feng Qi
core   +1 more source

Surface Tension Measurement of Ti‐6Al‐4V by Falling Droplet Method in Oxygen‐Free Atmosphere

open access: yesAdvanced Engineering Materials, EarlyView.
In this article, the temperature‐dependent surface tension of free falling, oscillating Ti‐6Al‐4V droplets is investigated in both argon and monosilane doped, oxygen‐free atmosphere. Droplet temperature and oscillation are captured with one single high‐speed camera, and the surface tension is calculated with Rayleigh's formula.
Johannes May   +9 more
wiley   +1 more source

n-Kernel orthogonal polynomials on the Dirichlet, Dirichlet-Multinomial, Poisson-Dirichlet and Ewens sampling distributions, and positive-definite sequences [PDF]

open access: yes, 2010
We consider a multivariate version of the so-called Lancaster problem of characterizing canonical correlation coe±cients of symmetric bivariate distributions with identical marginals and orthogonal polynomial expansions.
Spanò, Dario, Griffiths, Robert C.
core  

Goncarov Polynomials, Partition Lattices and Parking Sequences [PDF]

open access: yes, 2020
Classical Goncarov polynomials arose in numerical analysis as a basis for the solutions of the Goncarov interpolation problem. These polynomials provide a natural algebraic tool in the enumerative theory of parking functions.
Adeniran, Ayomikun Chukwuemeka
core  

-Sequences Based on Complete Permutation Polynomials [PDF]

open access: yes, 2023
The cross-correlation between two maximum length sequences (m-sequences) of the same period has been studied since the end of 1960s. One open conjecture by Helleseth states that the cross- correlation between any two p-ary m-sequences takes on the value −
Feng, Keqin   +7 more
core   +1 more source

Symbolic Regression and Multi‐Objective Optimization of the Flory–Huggins Interaction Parameter for Hydrogels

open access: yesAdvanced Engineering Materials, EarlyView.
We develop a data‐driven method to derive the mathematical expressions of the Flory–Huggins interaction parameter χ for the swelling behavior of temperature–responsive hydrogels. Starting from initial assumptions of χ, our workflow combines Bayesian optimization, Flory–Rehner theory, and symbolic regression to generate candidate χ expressions.
Yawen Wang   +2 more
wiley   +1 more source

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