Results 51 to 60 of about 5,932 (309)
On Zeros of a Polynomial in a Finite Grid [PDF]
A 1993 result of Alon and Füredi gives a sharp upper bound on the number of zeros of a multivariate polynomial over an integral domain in a finite grid, in terms of the degree of the polynomial. This result was recently generalized to polynomials over an arbitrary commutative ring, assuming a certain ‘Condition (D)’ on the grid which holds vacuously ...
Anurag Bishnoi +3 more
openaire +2 more sources
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
wiley +1 more source
Investigations in the Geometry of Polynomials [PDF]
Because polynomial functions are completely determined by their roots, every property of a polynomial is affected when these roots change. Our research aims to further our understanding of how the distribution of a polynomial\u27s roots affects specjfic ...
Biegalle, Neil
core +1 more source
A novel workflow for investigating hydride vapor phase epitaxy for GaN bulk crystal growth is proposed. It combines Design of experiments (DoE) with physical simulations of mass transport and crystal growth kinetics, serving as an intermediate step between DoE and experiments.
J. Tomkovič +7 more
wiley +1 more source
Solution of polynomial Lyapunov and Sylvester equations [PDF]
A two-variable polynomial approach to solve the one-variable polynomial Lyapunov and Sylvester equations is proposed. Lifting the problem from the one-variable to the two-variable context gives rise to associated lifted equations which live on finite ...
Peeters, Ralf, Rapisarda, Paolo
core
A Practical Noise2Noise Denoising Pipeline for High‐Throughput Raman Spectroscopy
A lightweight and reproducible denoising pipeline for high‐throughput Raman spectroscopy is introduced, based on a 1D convolutional autoencoder trained with a Noise2Noise strategy. Using only repeated short‐exposure acquisitions, the method suppresses stochastic noise without reference spectra, enabling reliable spectral reconstruction while preserving
David Martin‐Calle +5 more
wiley +1 more source
Location of zeros of polynomials
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chadia Affane-Aji +2 more
openaire +2 more sources
Saddle points in the chaotic analytic function and Ginibre characteristic polynomial [PDF]
Comparison is made between the distribution of saddle points in the chaotic analytic function and in the characteristic polynomials of the Ginibre ensemble.
Dennis, MR +5 more
core +1 more source
In this paper, we establish some mathematical rules for determining the initial and terminal numbers of non-zero terms in any arbitrary polynomial. These rules lead to the definitions of index $s$ and reverse index $\hat{s}$ of a polynomial.
J. Banerjee, A. Banerjee
doaj +1 more source
An annulus for the zeros of polynomials
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Bidkham, E. Shashahani
openaire +1 more source

