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The Modular Structure of an Ontology: Atomic Decomposition.
2011Extracting 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
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Decomposition of the two-electron-atom eigenvalue problem
Physical Review A, 1995Following 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
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Atomic Decomposition by Means of Atoms in the Variable Exponent Lebesgue Spaces
Tokyo Journal of MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Atomic decomposition for preduals of Sobolev multiplier spaces
Mathematische Nachrichten, 2023Keng Hao Ooi
exaly
A q-Atomic Decomposition of Weighted Tent Spaces on Spaces of Homogeneous Type and Its Application
Journal of Geometric Analysis, 2020Liang Song, Liangchuan Wu
exaly
John–Nirenberg inequality and atomic decomposition for noncommutative martingales
Journal of Functional Analysis, 2012Guixiang Hong
exaly
Atomic decomposition of Hardy spaces and characterization of BMO via Banach function spaces
Analysis Mathematica, 2012Kwok-Pun Ho, Ho Kwok-Pun
exaly

