Results 51 to 60 of about 81,722 (194)

Wave Propagation in Non‐Uniform Media by Linear Expansion of the Refraction Law

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.
ABSTRACT The propagation of mechanical waves in an unbounded, non‐uniform medium can be described by using curvilinear coordinates centered at the source position. The Frenet coordinate system, with origin on a point riding a wave, is used as a basis for the curvilinear coordinates.
Alessandro Bassetti, Oskar Bschorr
wiley   +1 more source

Variable selection via thresholding

open access: yesScandinavian Journal of Statistics, Volume 53, Issue 1, Page 207-237, March 2026.
Abstract Variable selection comprises an important step in many modern statistical inference procedures. In the regression setting, when estimators cannot shrink irrelevant signals to zero, covariates without relationships to the response often manifest small but nonzero regression coefficients.
Ka Long Keith Ho, Hien Duy Nguyen
wiley   +1 more source

A Matrix Approach by Convolved Fermat Polynomials for Solving the Fractional Burgers’ Equation

open access: yes
This article employs certain polynomials that generalize standard Fermat polynomials, called convolved Fermat polynomials, to numerically solve the fractional Burgers’ equation.
Naher Mohammed A. Alsafri   +4 more
core   +1 more source

On the Fermat-type equation $x^3 + y^3 = z^p$ [PDF]

open access: yesCommentarii Mathematici Helvetici, 2016
We prove that the Fermat-type equation x^3 + y^3 = z^p has no solutions (a,b,c) satisfying abc \neq 0
openaire   +2 more sources

Numerical solution of the two-dimensional Helmholtz equation with variable coefficients by the radial integration boundary integral and integro-differential equation methods [PDF]

open access: yes, 2012
This is the author's accepted manuscript. The final published article is available from the link below. Copyright @ 2012 Taylor & Francis.This paper presents new formulations of the boundary–domain integral equation (BDIE) and the boundary–domain integro-
Al-Jawary, MA, Wrobel, LC
core   +1 more source

On The Number Of Solutions To The Generalized Fermat Equation

open access: yes, 2007
. We discuss the maximum number of distinct non-trivial solutions that a generalized Fermat equation Ax n + By n = Cz n might possibly have. The abc- conjecture implies that it can never have more than two solutions once n ? n 0 (independent of A;
Andrew Granville
core  

Parametric solutions to the generalized Fermat equation

open access: yes, 1999
In this paper we examine parametric solutions to the generalized Fermat equation, xp+yq=zr. Simple criteria are given for the existence of solutions over an algebraically closed field and all such solutions are described.
Esmonde, Jody.
core  

On Darmon's program for the generalized Fermat equation, I

open access: yes
In 2000, Darmon described a program to study the generalized Fermat equation using modularity of abelian varieties of $\mathrm{GL}_2$-type over totally real fields. The original approach was based on hard open conjectures, which have made it difficult to
Freitas, N.   +9 more
core   +1 more source

Generalized Fermat equations: A miscellany

open access: yes, 2015
This paper is devoted to the generalized Fermat equation xp + yq = zr, where p, q and r are integers, and x, y and z are nonzero coprime integers. We begin by surveying the exponent triples (p, q, r), including a number of infinite families, for which ...
Dahmen, S.R.; id_orcid   +4 more
core   +1 more source

Non-uniqueness and prescribed energy for the continuity equation [PDF]

open access: yes, 2015
In this note, we provide new non-uniqueness examples for the continuity equation by constructing infinitely many weak solutions with prescribed ...
Gusev, Nikolay   +3 more
core   +1 more source

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