Results 81 to 90 of about 94,460 (146)

Artificial Intelligence for Multiscale Modeling in Solid‐State Physics and Chemistry: A Comprehensive Review

Advanced Intelligent Systems, Volume 8, Issue 5, May 2026.
This review explores the transformative impact of artificial intelligence on multiscale modeling in materials research. It highlights advancements such as machine learning force fields and graph neural networks, which enhance predictive capabilities while reducing computational costs in various applications.
Artem Maevskiy, Vitalii Kapitan, Andrey Ustyuzhanin   +2 more
wiley   +1 more source

Galois Field Instructions in the Sandblaster 2.0 Architectrue

International Journal of Digital Multimedia Broadcasting, 2009
This paper presents a novel approach to implementing multiplication of Galois Fields with 2N. Elements of GF(2N) can be represented as polynomials of degree less than N over GF(2).
Mayan Moudgill, Andrei Iancu, Daniel Iancu   +2 more
doaj   +1 more source

Transformations on Irreducible Binary Polynomials

, 2010
Using the natural action of GL2(F2) S3 over F2[X], one can define different classes of polynomials strongly analogous to selfreciprocal irreducible polynomials. We give transformations to construct polynomials of each kind of invariance and we deal with the question of explicit infinite sequences of invariant irreducible polynomials in F2[X].
Jean-Francis Michon, Philippe Ravache
openaire   +1 more source

Countable Basis for Free Electromagnetic Fields

Annalen der Physik, Volume 538, Issue 5, May 2026.
ABSTRACT Polychromatic electromagnetic fields are expanded as integrals over monochromatic fields, such as plane waves, multipolar fields, or Bessel beams. However, monochromatic fields do not belong to the Hilbert space of free Maxwell fields, since their norms diverge.
Ivan Fernandez‐Corbaton
wiley   +1 more source

Estimation of Change Points for Non‐Linear (Auto‐)Regressive Processes Using Neural Network Functions

Journal of Time Series Analysis, Volume 47, Issue 3, Page 539-556, May 2026.
ABSTRACT In this paper, we propose a new test for the detection of a change in a non‐linear (auto‐)regressive time series as well as a corresponding estimator for the unknown time point of the change. To this end, we consider an at‐most‐one‐change model and approximate the unknown (auto‐)regression function by a neural network with one hidden layer. It
Claudia Kirch, Stefanie Schwaar
wiley   +1 more source

Irreducibility of a Polynomial Shifted by a Power of Another Polynomial

Journal of Mathematics, 2020
In this note, we show that, for any f∈ℤx and any prime number p, there exists g∈ℤx for which the polynomial fx−gxp is irreducible over ℚ. For composite p≥2, this assertion is not true in general.
Artūras Dubickas
doaj   +1 more source

Wild conductor exponents of curves

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We give an explicit formula for wild conductor exponents of plane curves over Qp$\mathbb {Q}_p$ in terms of standard invariants of explicit extensions of Qp$\mathbb {Q}_p$, generalising a formula for hyperelliptic curves. To do so, we prove a general result relating the wild conductor exponent of a simply branched cover of the projective line ...
Harry Spencer
wiley   +1 more source

Polymatroidal tilings and the Chow class of linked projective spaces

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract Linked projective spaces are quiver Grassmannians of constant dimension one of certain quiver representations, called linked nets, over certain quivers, called Zn$\mathbb {Z}^n$‐quivers. They were recently introduced as a tool for describing schematic limits of families of divisors.
Felipe de Leon, Eduardo Esteves
wiley   +1 more source

On monogenity of certain pure number fields of degrees $2^r\cdot3^k\cdot7^s$ [PDF]

Mathematica Bohemica
Let $K = \mathbb{Q} (\alpha) $ be a pure number field generated by a complex root $\alpha$ of a monic irreducible polynomial $ F(x) = x^{2^r\cdot3^k\cdot7^s} -m \in\bb{Z}[x]$, where $r$, $k$, $s$ are three positive natural integers.
Hamid Ben Yakkou, Jalal Didi
doaj   +1 more source

The fundamental group of the complement of a generic fiber‐type curve

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract In this paper, we describe and characterize the fundamental group of the complement of generic fiber‐type curves, that is, unions of (the closure of) finitely many generic fibers of a component‐free pencil F=[f:g]:CP2⤍CP1$F=[f:g]:\mathbb {C}\mathbb {P}^2\dashrightarrow \mathbb {C}\mathbb {P}^1$.
José I. Cogolludo‐Agustín, Eva Elduque   +1 more
wiley   +1 more source