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Taylor Polynomials in a High Arithmetic Precision as Universal Approximators

Computation
Function approximation is a fundamental process in a variety of problems in computational mechanics, structural engineering, as well as other domains that require the precise approximation of a phenomenon with an analytic function. This work demonstrates
Nikolaos Bakas
doaj   +1 more source

The Principle of Localization at the Class of Functions Integrable in the Riemann for the Processes of Lagrange - Sturm - Liouville [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020
Let us say that the principle of localization holds at the class of functions $F$ at point $x_0 \in [0, \pi]$ for the Lagrange\,--\,Sturm\,--\,Liouville interpolation process $L_n^{SL}(f,x)$ if $\lim_{n \rightarrow \infty}\left|L_n^{SL}(f, x_0)-L_n^{SL ...
Aleksandr Yurievich Trynin, Ekaterina Dmitrievna Kireeva   +1 more
doaj   +1 more source

Approximation of binomial probability function for a normal probability function

, 2016
Educação Superior::Ciências Exatas e da Terra::MatemáticaThe digital animation presents the approximation of the function of the binomial probability for a function of normal probability, also known as Gaussian distribution.
Rojo, Isabel Martín, Lopez, Miguel Angel de la Fuente, Pujato, Carmen Candioti Lopez, Barrio, Manuel Gertrudix   +3 more
core   +2 more sources

A Deep-Network Piecewise Linear Approximation Formula

IEEE Access, 2021
The mathematical foundation of deep learning is the theorem that any continuous function can be approximated within any specified accuracy by using a neural network with certain non-linear activation functions. However, this theorem does not tell us what
Gengsheng L. Zeng
doaj   +1 more source

Approximation of Convex Functions

Real Analysis Exchange, 2004
It is known [\textit{M. Ghomi}, Proc. Am. Math. Soc. 130, No.~8, 2255--2259 (2002; Zbl 0999.26008)] that every convex function on an open interval \(I\) can be uniformly approximated by convex \(C^\infty\)-functions on every compact subinterval \([a,b]\) of \(I\). Ghomi's approach requires the knowledge of Lebesgue integral and convolutions. The aim of
openaire   +2 more sources

Solid Pseudopapillary Neoplasm of the Pancreas in Children and Adolescents: Expert Recommendations

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Solid pseudopapillary neoplasm of the pancreas (SPN) is a rare low‐grade malignant exocrine pancreatic tumor, mostly discovered during the second decade of life in females, with a very good prognosis, provided microscopically complete surgical excision is achieved.
Sabine Irtan, Michael Abele, Calogero Virgone, Michaela Kuhlen, Ricardo Lopez‐Almarez, Tal Ben‐Ami, Ewa Bien, Maja Cesen, Malgorzata A. Krawczyk, Andrea Ferrari, Gianni Bisogno, Yves Reguerre, Dominik T. Schneider, Louise Galmiche, Jorg Fuchs, Sarah Braungart, Bilgehan Yalcin, Ines B. Brecht, Daniel Orbach   +18 more
wiley   +1 more source

Estimates of the Approximation Error Using Rademacher Complexity: Learning Vector-Valued Functions [PDF]

, 2008
For certain families of multivariable vector-valued functions to be approximated, the accuracy of approximation schemes made up of linear combinations of computational units containing adjustable parameters is investigated.
Gnecco Giorgio, Marcello Sanguineti, Gnecco, Giorgio, Giorgio Gnecco, Gnecco, G, GNECCO, GIORGIO STEFANO, Sanguineti, Marcello, Sanguineti Marcello   +7 more
core   +1 more source

Relaxation oscillations in the Darie wind power plant model

Вестник Самарского университета: Естественнонаучная серия
The article discusses the mathematical model of the Daria small wind power plant. This installation is a type of vertical axis wind turbine named after its inventor, Georges Jean Marie Darrieux.
Alena S. Kirsanova
doaj   +1 more source

Approximation by Extreme Functions

Journal of Approximation Theory, 1999
For a topological space \(T\) and a real normed space \(X\) let \(Y= C(T,X)\), the normed space of all \(X\)-valued bounded continuous functions on \(T\) endowed with the supremum norm. Let \(Y^{-1}=\{f\in Y:f\) does not vanish in any \(t\in T\}\). For \(f\in Y\), let \(\alpha(f)= d(f,Y^{-1})\) and let \(m(f)= \inf \{\|f(t)\|: t\in T\}\).
Jiménez-Vargas, A, Mena-Jurado, J.F, Navarro-Pascual, J.C   +2 more
openaire   +2 more sources

Ovarian Sex Cord Stromal Tumors in Children and Adolescents—The European Standard Clinical Practice Recommendations

Pediatric Blood &Cancer, EarlyView.
ABSTRACT As part of the European Cooperative Study Group for Paediatric Rare Tumours initiative, we developed standard clinical practice guidelines for ovarian sex cord stromal tumors, based on comprehensive national and international cohort analyses, literature review, and a final expert consensus conference.
Dominik T. Schneider, Kris‐Ann Schultz, Nora Schnitzler, Michael Abele, Tal Ben‐Ami, Ewa Bien, Gianni Bisogno, Ines B. Brecht, Maja Cesen, Andrea Ferrari, Michaela Kuhlen, Malgorzata A. Krawczyk, Ricardo Lopez‐Almaraz, Yves Reguerre, Calogero Virgone, Daniel Orbach   +15 more
wiley   +1 more source