Results 81 to 90 of about 4,797,118 (337)

The uniformly continuous theorem of fractal interpolation surface function and its proof

AIMS Mathematics
In order to research uniform continuity of fractal interpolation surface function on a closed rectangular area, the accumulation principle was applied to prove uniform continuity of fractal interpolation surface function on a closed rectangular area ...
Xuezai Pan, Minggang Wang
doaj   +1 more source

A Fast Segmentation and Efficient Slice Reconstruction Technique for Head CT Images

Journal of Intelligent Systems, 2019
The three-dimensional (3D) reconstruction of medical images usually requires hundreds of two-dimensional (2D) scan images. Segmentation, an obligatory part in reconstruction, needs to be performed for all the slices consuming enormous storage space and ...
Thasneem A.A. Haseena, Sathik M. Mohamed, Mehaboobathunnisa R.   +2 more
doaj   +1 more source

Space-Time Interpolants [PDF]

, 2018
Reachability analysis is difficult for hybrid automata with affine differential equations, because the reach set needs to be approximated. Promising abstraction techniques usually employ interval methods or template polyhedra. Interval methods account for dense time and guarantee soundness, and there are interval-based tools that overapproximate affine
Goran Frehse, Thomas A. Henzinger, Mirco Giacobbe   +2 more
openaire   +2 more sources

Interpolation Hilbert Spaces Between Sobolev Spaces [PDF]

Results in Mathematics, 2014
We explicitly describe all Hilbert function spaces that are interpolation spaces with respect to a given couple of Sobolev inner product spaces considered over $\mathbb{R}^{n}$ or a half-space in $\mathbb{R}^{n}$ or a bounded Euclidean domain with Lipschitz boundary.
Aleksandr A. Murach, Aleksandr A. Murach, Vladimir Mikhailets, Vladimir Mikhailets   +3 more
openaire   +4 more sources

BCS1L‐Associated Disease: 5′‐UTR Variant Shifts the Phenotype Towards Axonal Neuropathy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objectives To investigate the consequences of a pathogenic missense variant (c.838C>T; p.L280F) and a 5′‐UTR regulatory variant (c.‐122G>T) in BCS1L on disease pathogenesis and to understand how regulatory variants influence disease severity and clinical presentation.
Rotem Orbach, Nunziata Maio, Russell J. Butterfield, A. Reghan Foley, Sarah Silverstein, Yan Li, Katherine Chao, Tanya J. Lehky, Abigail Potticary, Tracey A. Rouault, Sandra Donkervoort, Carsten G. Bönnemann   +11 more
wiley   +1 more source

Finite element quasi-interpolation and best approximation [PDF]

, 2015
This paper introduces a quasi-interpolation operator for scalar- and vector-valued finite element spaces constructed on affine, shape-regular meshes with some continuity across mesh interfaces.This operator gives optimal estimates of the best ...
A. Ern, J. Guermond
semanticscholar   +1 more source

James constant for interpolation spaces

Journal of Mathematical Analysis and Applications, 2011
AbstractEstimates for the James constant for various norms in real interpolation spaces for finite families of Banach spaces are given. As a corollary it is shown that if a family contains at least one space which is uniformly nonsquare, then the interpolation space is uniformly nonsquare.
Anna Betiuk-Pilarska, Stanisław Prus, Supaluk Phothi   +2 more
openaire   +2 more sources

Data‐driven forecasting of ship motions in waves using machine learning and dynamic mode decomposition

International Journal of Adaptive Control and Signal Processing, EarlyView.
Summary Data‐driven forecasting of ship motions in waves is investigated through feedforward and recurrent neural networks as well as dynamic mode decomposition. The goal is to predict future ship motion variables based on past data collected on the field, using equation‐free approaches.
Matteo Diez, Mauro Gaggero, Andrea Serani   +2 more
wiley   +1 more source

Recombination of stable sampling sets and stable interpolation sets in functional quasinormed spaces

Boletim da Sociedade Paranaense de Matemática
This contribution is aimed in obtaining new results in combining stable sampling sets (respectively, stable interpolation sets) of a given quasinormed space in order to obtain other new ones. We apply these results to Paley-Wiener spaces and.
José Alfonso López Nicolás
doaj   +1 more source

Applications of Nachbin's Theorem concerning Dense Subalgebras of Differentiable Functions

Trends in Computational and Applied Mathematics, 2018
In this paper, we give some applications of  Nachbin's Theorem  to approximation and interpolation in the the space of all k times continuously differentiable real functions on  any open subset of the  Euclidean space.
Marcia Sayuri Kashimoto
doaj   +1 more source