Results 41 to 50 of about 405,126 (272)

Polynomial interpolation problem for skew polynomials [PDF]

open access: yesApplicable Analysis and Discrete Mathematics, 2007
Let R = K[x;δ] be a skew polynomial ring over a division ring K. We introduce the notion of derivatives of skew polynomial at scalars. An analogous definition of derivatives of commutative polynomials from K[x] as a function of K[x] → K[x] is not possible in a non-commutative case.
openaire   +3 more sources

Matrix Transformations and Disk of Convergence in Interpolation Processes

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2008
Let 𝐴𝜌 denote the set of functions analytic in |𝑧|
Chikkanna R. Selvaraj, Suguna Selvaraj
doaj   +1 more source

Remarks on interpolation in certain linear spaces (IV)

open access: yesJournal of Numerical Analysis and Approximation Theory, 2007
In the papers [5], [6], [7] we shall study a way of extending the model of interpolating the real functions, with simple nodes, to the case of the functions defined between linear spaces, especially between linear normed spaces.
Adrian Diaconu
doaj   +2 more sources

Interpolation by Harmonic Polynomials

open access: yesJournal of the Society for Industrial and Applied Mathematics, 1962
Abstract : Let Hn(u; z) denote the harmonic polynomial of degree at most n found by interpolation in 2n +1 points to a function u given on the boundary C of a region D of the complex z-plane. It is proved that (a) for any bounded D there always exist interpolation points on C so that Hn can be uniquely determined for each n, and (b) for a wide class of
openaire   +3 more sources

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

Workflow for Design of Experiments‐Based Modeling of Species Transport and Growth Kinetics in GaN Hydride Vapor Phase Epitaxy

open access: yesAdvanced Engineering Materials, EarlyView.
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

Comparison of interpolation methods based on Geographic Information System (GIS) in the spatial distribution of seawater intrusion

open access: yesJurnal Natural, 2020
The study of monitoring seawater intrusion and groundwater quality in a coastal area needs to be done regularly to prevent the clean water crisis problems in the future.
MAULINA TANJUNG   +2 more
doaj   +1 more source

A Practical Noise2Noise Denoising Pipeline for High‐Throughput Raman Spectroscopy

open access: yesAdvanced Engineering Materials, EarlyView.
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

The subspace Nevanlinna interpolation problem and the most powerful unfalsified model [PDF]

open access: yes, 1997
A generalization of the tangential Nevanlinna interpolation problem will be studied from a behavioral point of view. Necessary and sufficient conditions for its solvability and a characterization of art its solutions are derived.
Willems, JC   +3 more
core   +1 more source

An Implementation of Image Secret Sharing Scheme Based on Matrix Operations

open access: yesMathematics, 2022
The image secret sharing scheme shares a secret image as multiple shadows. The secret image can be recovered from shadow images that meet a threshold number.
Zihan Ren, Peng Li, Xin Wang
doaj   +1 more source

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