Results 11 to 20 of about 693,136 (285)

Hamming distance from irreducible polynomials over $\mathbb {F}_2$ [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2007
We study the Hamming distance from polynomials to classes of polynomials that share certain properties of irreducible polynomials. The results give insight into whether or not irreducible polynomials can be effectively modeled by these more general ...
Gilbert Lee   +2 more
doaj   +1 more source

A Non-NP-Complete Algorithm for a Quasi-Fixed Polynomial Problem

open access: yesAbstract and Applied Analysis, 2013
Let be a real-valued polynomial function of the form , with degree of in An irreducible real-valued polynomial function and a nonnegative integer are given to find a polynomial function satisfying the following expression: for some constant .
Yi-Chou Chen, Hang-Chin Lai
doaj   +1 more source

Meromorphic function sharing a small function with a linear differential polynomial [PDF]

open access: yesMathematica Bohemica, 2016
The problem of uniqueness of an entire or a meromorphic function when it shares a value or a small function with its derivative became popular among the researchers after the work of Rubel and Yang (1977).
Indrajit Lahiri, Amit Sarkar
doaj   +1 more source

Polynomial-degree-robust $\protect H({\protect \bf curl})$-stability of discrete minimization in a tetrahedron

open access: yesComptes Rendus. Mathématique, 2021
We prove that the minimizer in the Nédélec polynomial space of some degree $p\ge 0$ of a discrete minimization problem performs as well as the continuous minimizer in $H({\bf curl})$, up to a constant that is independent of the polynomial degree $p$. The
Chaumont-Frelet, Théophile   +2 more
doaj   +1 more source

Polynomiality for Bin Packing with a Constant Number of Item Types

open access: yes, 2020
We consider the bin packing problem with d different item sizes s_i and item multiplicities a_i, where all numbers are given in binary encoding. This problem formulation is also known as the 1-dimensional cutting stock problem. In this work, we provide
Goemans, Michel X., Rothvoss, Thomas
core   +1 more source

Zeros of Fekete polynomials [PDF]

open access: yes, 1999
The authors study the distribution of zeros of the Fekete polynomial f_p(t) (defined for p prime) as p -> infinity. They show that asymptotically a constant fraction of the zeros lie on the unit circle, and they investigate the constant of ...
Conrey, J. Brian   +3 more
core   +3 more sources

Problems on multivariate reliability polynomial

open access: yesAtti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2017
The original results include: (i) homogenization of a reliability polynomial; (ii) compact hypersurfaces attached to homogeneous polynomials; (iii) an affine diffeomorphism that preserves a reliability polynomial; (iv) duality of networks via a ...
Constantin Udriste   +2 more
doaj   +1 more source

On the generalized Davenport constant and the Noether number [PDF]

open access: yes, 2013
Known results on the generalized Davenport constant related to zero-sum sequences over a finite abelian group are extended to the generalized Noether number related to the rings of polynomial invariants of an arbitrary finite group.
A Geroldinger   +19 more
core   +1 more source

Unconditional constants and polynomial inequalities

open access: yesJournal of Approximation Theory, 2009
If \(P\) is a polynomial with real coefficients, \(|P|\) denotes the polynomial obtained from \(P\) replacing its coefficients by their absolute values. Inequalities between the norm of \(|P|\) and the norm of \(P\) on a convex subset are studied for some specific spaces of polynomials.
Grecu, Bogdan, Munoz, G., Seoane, J.
openaire   +4 more sources

An Elementary Approach to Polynomial Optimization on Polynomial Meshes

open access: yesJournal of Mathematical and Fundamental Sciences, 2018
A polynomial mesh on a multivariate compact set or manifold is a sequence of finite norming sets for polynomials whose norming constant is independent of degree.
Marco Vianello
doaj   +1 more source

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