Results 261 to 270 of about 62,542 (292)

Remarks on L 1-solutions of dilation equations

aequationes mathematicae, 2006
We give a condition under which the equation $$ f(x) = {\sum\limits_{n = 0}^N {C_{n} f{\left( {\alpha x - \beta _{n} } \right)}} } $$ has no non-trivial L 1-solution. Moreover, we show that the existence of non-trivial L
openaire   +1 more source

Solving integral equations in free space with inverse-designed ultrathin optical metagratings

Nature Nanotechnology, 2023
Andrea Cordaro, Andrea Alu
exaly  

DeepXDE: A Deep Learning Library for Solving Differential Equations

SIAM Review, 2021
Lu Lu, George E Karniadakis
exaly  

Multidimensional Two–Scale Dilation Equations

1992
Wang, Yang, Berger, Marc A.
openaire   +1 more source

An energy approach to the solution of partial differential equations in computational mechanics via machine learning: Concepts, implementation and applications

Computer Methods in Applied Mechanics and Engineering, 2020
Esteban Samaniego, Somdatta Goswami, Timon Rabczuk   +2 more
exaly  

New Creatinine- and Cystatin C–Based Equations to Estimate GFR without Race

New England Journal of Medicine, 2021
Lesley A Inker, Nwamaka D Eneanya, Josef Coresh   +2 more
exaly  

A generalized dilatancy angle equation of granular soil

Journal of Mountain Science, 2022
openaire   +1 more source

Exact Solutions of Einstein Equation and Universe Dilation

This research result is dramatic that, all resolved exact solutions of Einstein Equation prove that the Einstein’s two propositions on called limit light speed 3 are not true. This study gives a critical proof on the quantum speed limit QSL = 4. A key ingredient of this proof is uniruledness with all celestial universes including the Solar system, the ...
openaire   +1 more source

Continuum and Discrete Initial-Boundary Value Problems and Einstein’s Field Equations

Living Reviews in Relativity, 2012
Olivier Sarbach, Manuel Tiglio
exaly  

Two-scale dilation equations and the cascade algorithm

1995
Summary: We study the two-scale dilation equation \(f(x)=\sum^n_{k=0} c_kf(2x-k)\), where the coefficients \(c_k\) are real and \(\sum_k c_{2k}= \sum_k c_{2k+1}=1\). By expressing the dilation equation in matrix product form, we prove a necessary and sufficient condition for the cascade algorithm (introduced by Daubechies and Lagarias) to converge ...
openaire   +1 more source