Results 121 to 130 of about 162,917 (276)

Interpolation methods for spatial distribution of groundwater mapping electrical conductivity

open access: yesScientific Reports
This study was carried out to develop a conceptual framework for determining the best interpolation method which mainly is employed to calculate the variability maps of electrical conductivity (EC) in neighboring regions.
Saeed Salehi   +4 more
doaj   +1 more source

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

Polynomial interpolation in R3

open access: yesComputers & Mathematics with Applications, 2004
A linear subspace \({G\subset C(R_n)}\) is called \(k\)-interpolating if for every choice of distinct points \({u_1,u_2,\dots,u_k\in R_n}\) and for any choice of scalars \({a_1,a_2,\dots,a_k\in R}\), there exists \({g\in G}\) such that \({g(u_j)=a_j}\), for \({j=1,2,\dots,k}\). The main result of the article is the example of a 12-dimensional subspace \
openaire   +2 more sources

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

open access: yesAdvanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Interpolação das curvas de nível no programa Surfer 8.0 através de imagens do Google Earth | Interpolation of level curves in the Surfer 8.0 program through Google Earth images

open access: yesRevista Geama, 2016
RESUMO: O relevo é representado por diversas formas, dentre elas as curvas de nível (CN). Para obtenção das CN é necessário a interpolação dos pontos cotados.
José Machado
doaj  

Prediction of Life Expectancy in Indonesia by Implementing Website-Based Lagrange Polynomial Interpolation

open access: yesInternational Journal of Applied Sciences and Smart Technologies
Life Expectancy (AHH) is a measurement of the average human lifespan accepted and used to assess the quality of health and welfare of a country's population.
Syamsul Maarip   +5 more
doaj   +1 more source

RAMS: Residual‐Based Adversarial‐Gradient Moving Sample Method for Scientific Machine Learning in Solving Partial Differential Equations

open access: yesAdvanced Intelligent Discovery, EarlyView.
We propose a residual‐based adversarial‐gradient moving sample (RAMS) method for scientific machine learning that treats samples as trainable variables and updates them to maximize the physics residual, thereby effectively concentrating samples in inadequately learned regions.
Weihang Ouyang   +4 more
wiley   +1 more source

Quantum algorithm for multivariate polynomial interpolation. [PDF]

open access: yesProc Math Phys Eng Sci, 2018
Chen J, Childs AM, Hung SH.
europepmc   +1 more source

Explaining the Origin of Negative Poisson's Ratio in Amorphous Networks With Machine Learning

open access: yesAdvanced Intelligent Discovery, EarlyView.
This review summarizes how machine learning (ML) breaks the “vicious cycle” in designing auxetic amorphous networks. By transitioning from traditional “black‐box” optimization to an interpretable “AI‐Physics” closed‐loop paradigm, ML is shown to not only discover highly optimized structures—such as all‐convex polygon networks—but also unveil hidden ...
Shengyu Lu, Xiangying Shen
wiley   +1 more source

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