Results 141 to 150 of about 140,035 (276)

Managing Spectral Intensity Variations With In‐Line Fiber‐Optic High‐Volume Noncontact Raman Probes: A Strategy Exploration

open access: yesJournal of Raman Spectroscopy, EarlyView.
Robust quantification in noncontact Raman sensing requires dedicated correction of working distance dependent background effects, while laser power variations are readily stabilized using internal reference signals. Chemically relevant Raman intensity can be preserved for bulk composition measurements, under variable laser power and working distance ...
Tiril Aurora Lintvedt   +3 more
wiley   +1 more source

Finite Biorthogonal Polynomials Suggested by the Finite Orthogonal Polynomials Mnp,qx$$ {M}_n^{\left(p,q\right)}(x) $$

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Constructing a biorthogonal structure from scratch, that is, defining a biorthogonal pair is quite tough. Because here the orthogonality must be established between two different sets. There are four known univariate biorthogonal polynomial sets, suggested by Laguerre, Jacobi, Hermite and Szegő‐Hermite polynomials, in the literature.
Esra Güldoğan Lekesiz
wiley   +1 more source

On orthogonal polynomials [PDF]

open access: yesProceedings of the American Mathematical Society, 1961
openaire   +2 more sources

Exploring Asymptotic Normality in Multinomial Models

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Among the methods for analyzing categorical outcomes, the multinomial model offers a robust framework for examining the dependence between a multi‐category response variable and a set of explanatory variables. Its flexibility, versatility, and broad applicability across diverse fields make it a valuable tool, as it does not impose strict ...
Célia Nunes   +3 more
wiley   +1 more source

Shape Derivatives of the Eigenvalues of the de Rham Complex for Lipschitz Deformations and Variable Coefficients: Part II

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti   +2 more
wiley   +1 more source

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