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The Modular Structure of an Ontology: Atomic Decomposition.

2011
Extracting a subset of a given ontology that captures all the ontology's knowledge about a specified set of terms is a well-understood task. This task can be based, for instance, on locality-based modules. However, a single module does not allow us to understand neither topicality, connectedness, structure, or superfluous parts of an ontology, nor ...
Chiara Del Vescovo   +3 more
openaire   +2 more sources

Decomposition of the two-electron-atom eigenvalue problem

Physical Review A, 1995
Following Bhatia and Temkin [Rev. Mod. Phys. 36, 1050 (1964)] we decompose the Hamiltonian of a two-electron atom (or ion) with a fixed nucleus in terms of Euler angles, and thereby reduce the energy-eigenvalue problem to a set of coupled equations involving only three lengths, the distance of the electrons from each other and the distances from the ...
, Pont, , Shakeshaft
openaire   +2 more sources

Atomic Decomposition by Means of Atoms in the Variable Exponent Lebesgue Spaces

Tokyo Journal of Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

The atomic decomposition

1989
Jan-Olov Strömberg, Alberto Torchinsky
openaire   +1 more source

Atomic decompositions and Hardy’s inequality on weak Hardy-Morrey spaces

Science China Mathematics, 2017
Kwok-Pun Ho, Ho Kwok-Pun
exaly  

Atomic decompositions for tensor products and polynomial spaces

Journal of Mathematical Analysis and Applications, 2008
Daniel Carando, Silvia Lassalle
exaly  

Atomic decompositions of weighted Hardy-Morrey spaces

Hokkaido Mathematical Journal, 2013
Kwok-Pun Ho
exaly  

Optimum Rate-Distortion Dictionary Selection for Compression of Atomic Decompositions of Electric Disturbance Signals

IEEE Signal Processing Letters, 2007
Eduardo A B da Silva   +2 more
exaly  

Atomic decompositions of weighted Hardy spaces with variable exponents

Tohoku Mathematical Journal, 2017
Kwok-Pun Ho
exaly  

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