The approximation of almost time- and band-limited functions by their expansion in some orthogonal polynomials bases [PDF]
Journal of Approximation Theory, 2015 The aim of this paper is to investigate the quality of approximation of almost time- and almost band-limited functions by its expansion in two classical orthogonal polynomials bases: the Hermite basis and the ultraspherical polynomials bases (which ...
Philippe Jaming, A. Karoui, S. Spektor
semanticscholar +1 more source
Approximation orders of formal Laurent series by β-expansions
Finite Fields and Their Applications, 2008 Let \(\mathbb F\) be a finite field of \(q\) elements. Let \(\mathbb F((X^{-1}))\) be the field of formal Laurent series \[ \left\{\sum_{n=n_0}^\infty a_n X^{-n}\mid a_n\in\mathbb F, n_0\in\mathbb Z\right\}. \] Let \(\beta\in\mathbb F((X^{-1}))\) with \(\|\beta\|>1\). The \(\beta\)-expansion of \(x\in\mathbb F((X^{-1}))\), \(\|x\|
openaire +1 more source
Uniqueness, Born Approximation, and Numerical Methods for Diffuse Optical Tomography
Journal of Applied Mathematics, 2013 Diffuse optical tomogrpahy (DOT) is to find optical coefficients of tissue using near infrared light. DOT as an inverse problem is described and the studies about unique determination of optical coefficients are summarized. If a priori information of the
Kiwoon Kwon
doaj +1 more source
Interaction of protons with nuclei in the Born approximation (II) [PDF]
Ядерна фізика та енергетикаIn the framework of the Born approximation, comparison of the previously used approaches, in which analytical expressions for the scattering amplitudes of particles by nuclei were obtained using the expansion of the potential into the series up to the ...
Yu. A. Berezhnoy +2 more
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On the Expediency and Possibilities of Approximating a Pure Delay Link
Информатика и автоматизация, 2022 When solving problems of controlling an object with delay, it is often necessary to approximate a pure delay link with a minimum phase link in order to ensure the possibility of using analytical methods for regulator design.
Vadim Zhmud +5 more
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The Role of “Adult‐Onset” Cancer Predisposition Genes in Pediatric Cancer: A Comprehensive Review
Pediatric Blood &Cancer, EarlyView.ABSTRACT Current literature estimates that 10% of pediatric cancers are caused by pathogenic or likely pathogenic (P/LP) germline variants in cancer predisposition genes (CPGs). Variants in CPGs thought to increase cancer risk exclusively during adulthood are referred to as “adult‐onset” CPGs (aoCPGs).
Maria Rozo +5 more
wiley +1 more source
Propagation conditions of an eccentric crack in a semi-circular disk loaded in I+II mixed mode [PDF]
MATEC Web of Conferences, 2020 Multi-parameter fracture mechanics concept is applied to investigate crack propagation conditions during a three-point bending (3PB) test performed on an asymmetrical semi-circular disk under I+II mixedmode loading.
Malíková Lucie +2 more
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Mean-square Approximation of Iterated Ito and Stratonovich Stochastic Integrals: Method of Generalized Multiple Fourier Series. Application to Numerical Integration of Ito Sdes and Semilinear Spdes (third Edition) [PDF]
Differential Equations and Control Processes, 2017 This is the third edition of the monograph (first edition 2020, second edition 2021) devoted to the problem of mean-square approximation of iterated Ito and Stratonovich stochastic integrals with respect to components of the multidimensional Wiener ...
D. Kuznetsov
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Re‐Irradiation in Pediatric Diffuse Midline Glioma: A Multi‐Institutional Retrospective Study
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Children with recurrent diffuse midline gliomas (DMGs) have limited therapeutic options at recurrence. Re‐irradiation (RT2) may be used at progression, but with uncertainty about the benefit. Methods We conducted a multi‐institutional retrospective study of children aged < 18 with DMG treated at three centers (Toronto, Canada ...
Ajay Thomas Alex +13 more
wiley +1 more source
Decay analysis of bivariate Chebyshev coefficients for functions with limited regularity
Results in Applied MathematicsThe Chebyshev polynomial approximation is a useful tool to approximate smooth and non-smooth functions. In fact, for a sufficiently smooth function, the partial sum of Chebyshev series expansion provides optimal polynomial approximation.
Akansha
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