Results 51 to 60 of about 11,116 (261)

On Approximation with Spline Generated Framelets [PDF]

Constructive Approximation, 2004
The authors characterize the approximation spaces associated with the best \(n\)-term approximation in \(L_p(\mathbb{R})\) \((1 ...
Gribonval, Rémi, Nielsen, Morten
openaire   +2 more sources

A Lightweight, 3D‐Printable, Low‐Cost, “One‐Click” Dorsal Skin Window for High‐Quality Long‐Term Multimodal Subcutaneous Tumor Imaging

Advanced Healthcare Materials, EarlyView.
An innovative, lightweight 3D‐printed skinfold chamber system is presented for long‐term intravital imaging. This affordable, biocompatible platform simplifies surgical implantation and allows high‐resolution, multimodal visualization of the tumor microenvironment for up to four weeks.
Iván Cortés Domínguez, Xabier Morales Urteaga, Maider Esparza, Lucía Grande, Ainhoa Urbiola, Cristina Ederra, Tomas Muñoz Santoro, Beatrice Pinci, Alvaro Teijeira, Carlos Ortiz de Solórzano   +9 more
wiley   +1 more source

Approximation of splines in Wasserstein spaces

ESAIM: Control, Optimisation and Calculus of Variations
This paper investigates a time discrete variational model for splines in Wasserstein spaces to interpolate probability measures. Cubic splines in Euclidean space are known to minimize the integrated squared acceleration subject to a set of interpolation constraints.
Jorge Justiniano, Martin Rumpf, Matthias Erbar   +2 more
openaire   +2 more sources

EfficientL 2 approximation by splines

Numerische Mathematik, 1979
LetS N k (t) be the linear space ofk-th order splines on [0, 1] having the simple knotst i determined from a fixed functiont by the rulet i=t(i/N). In this paper we introduce sequences of operators {Q N } N ? =1 fromC k [0, 1] toS N k (t) which are computationally simple and which, asN??, give essentially the best possible approximations tof and its ...
Barrow, D.L., Smith, P.W.
openaire   +2 more sources

In Vivo Monitoring of Thrombo‐Inflammatory Biomarkers via Molecularly Imprinted Polymer‐Integrated Hydrogel Microneedles

Advanced Materials, EarlyView.
A wearable electrochemical microneedle patch integrates Prussian Blue redox transduction with molecularly imprinted polymer recognition for reagent‐free sampling and detection of thrombo‐inflammatory biomarkers in dermal interstitial fluid. The platform tracks thrombin and inflammatory cytokines with sensitive in vitro, ex vivo, and in vivo performance,
Mahmoud Ayman Saleh, Peyman GhavamiNejad, Arash Khorrami Jahromi, Sanjana Srikant, Sripadh Guptha Yedire, Fatemeh Keyvani, Roozbeh Siavash Moakhar, Sajad Shiekh, Mackenzie Graham, Joe Quadrilatero, Mahla Poudineh, Sara Mahshid   +11 more
wiley   +1 more source

Phase Diagrams and Piezoelectric Properties of Wurtzite Al1−x−yScxGdyN Heterostructural Alloys

Advanced Science, EarlyView.
This study demonstrates ferroelectricity and piezoelectric properties improvement of quaternary wurtzite Al1−x−yScxGdyN${\rm Al}_{1-x-y}{\rm Sc}_x{\rm Gd}_y{\rm N}$ films, guided by density functional theory calculations. Wurtzite Al1−x−yScxGdyN${\rm Al}_{1-x-y}{\rm Sc}_x{\rm Gd}_y{\rm N}$ films have a high optical bandgap, enhanced piezoelectric ...
Julia L. Martin, Cheng‐Wei Lee, Nate S.P. Bernstein, Thi Nguyen, Ande Bryan, Eli Cooper, John S. Mangum, Sage R. Bauers, Andriy Zakutayev, Keisuke Yazawa, Prashun Gorai, Rebecca W. Smaha   +11 more
wiley   +1 more source

On Convex Approximation by Quadratic Splines

Journal of Approximation Theory, 1996
This note is devoted to giving a short and constructive proof for the existence of a \(C^1\) convex quadratic spline with \(n\) equidistant knots which approximates a convex function \(f\in C[0,1]\) at the order \(\omega_3(f,1/n)\). This improves a result due to \textit{Y. K. Hu} [J. Approximation Theory 74, No.
Ivanov, Kamen G., Popov, Boyan
openaire   +1 more source

Physics‐Constrained Constitutive Learning of Rate‐Limiting Timescales for Efficient Hydrogen‐Based Direct Reduction for Green Steel Making

Advanced Science, EarlyView.
A conversion‐resolved constitutive framework is developed for the hydrogen‐based direct reduction of iron oxide pellets. Effective reaction and transport timescales are inferred directly from measured trajectories and mapped against operating conditions, pellet architecture, and composition. The analysis reveals how late‐stage transport control emerges
Anurag Bajpai, Barak Ratzker, Pasquale Cavaliere, Dierk Raabe   +3 more
wiley   +1 more source

Natural Cubic Spline Approximation of Risk-Neutral Density

International Journal of Financial Studies
The risk-neutral density is a fundamental concept in pricing financial derivatives, risk management, and assessing financial markets’ perceptions over significant political or economic events.
Shuang Zhou, Liyuan Jiang, Keren Li, Fangfang Wang, Jie Yang   +4 more
doaj   +1 more source

Three-monotone spline approximation

Journal of Approximation Theory, 2010
Jackson theorems for functions \(f\) whose third order divided differences are always nonnegative are studied. They are approximated by piecewise polynomial splines with minimal defect, and the error is bounded above in a Jackson-type theorem using the fourth modulus of smoothness of \(f\). Such functions are called three-monotone, and so is the spline
G. A. Dzyubenko, Kirill A. Kopotun, A. V. Prymak   +2 more
openaire   +2 more sources