On the local density formula and the Gross-Keating invariant with an Appendix 'The local density of a binary quadratic form' by T. Ikeda and H. Katsurada
Sign Up to like & getrecommendations! Published in 2020 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-020-02457-0
Abstract: Ikeda and Katsurada have developed the theory of the Gross–Keating invariant of a quadratic form in their recent papers Ikeda and Katsurada (Am J Math 140:1521–1565, 2018, Explicit formula of the Siegel series of a… read more here.
Keywords: density; quadratic form; local density; formula ... See more keywords
A background refinement method based on local density for hyperspectral anomaly detection
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DOI: 10.1007/s11771-018-3719-6
Abstract: For anomaly detection, anomalies existing in the background will affect the detection performance. Accordingly, a background refinement method based on the local density is proposed to remove the anomalies from the background. In this work,… read more here.
Keywords: local density; anomaly detection; background; method ... See more keywords
Generalized Shannon’s entropy as generator of local density functionals
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DOI: 10.1016/j.cplett.2017.03.037
Abstract: Abstract In this letter, we present a relationship among Shannon’s generalized entropy and kinetic energy, exchange energy, and Coulomb energy density functionals, also we showed that the electron density gradient of Fisher’s entropy may be… read more here.
Keywords: local density; energy; entropy; generalized shannon ... See more keywords
Deep-Learning-Enhanced Diffusion Imaging Assay for Resolving Local-Density Effects on Membrane Receptors.
Sign Up to like & getrecommendations! Published in 2023 at "Analytical chemistry"
DOI: 10.1021/acs.analchem.2c04326
Abstract: G-protein-coupled receptor (GPCR) density at the cell surface is thought to regulate receptor function. Spatially resolved measurements of local-density effects on GPCRs are needed but technically limited by density heterogeneity and mobility of membrane receptors.… read more here.
Keywords: membrane receptors; diffusion; density; local density ... See more keywords
Analysis of the Limits of the Local Density of Photonic States near Nanostructures
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DOI: 10.1021/acsphotonics.8b00225
Abstract: Nanostructures with sizes smaller than or comparable to visible light strongly modify the decay rate of dipole emitters placed in their vicinity. Such modification is usually characterized using the local density of photonic states (LDOS),… read more here.
Keywords: local density; sum rule; density photonic; analysis limits ... See more keywords
Tomographic imaging of the photonic environment of plasmonic nanoparticles
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DOI: 10.1038/s41467-017-00051-3
Abstract: The photonic local density of states (LDOS) governs the enhancement of light–matter interaction at the nanoscale, but despite its importance for nanophotonics and plasmonics experimental local density of states imaging remains extremely challenging. Here we… read more here.
Keywords: local density; density states; microscopy; photonic environment ... See more keywords
Clustering by fast search and merge of local density peaks for gene expression microarray data
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DOI: 10.1038/srep45602
Abstract: Clustering is an unsupervised approach to classify elements based on their similarity, and it is used to find the intrinsic patterns of data. There are enormous applications of clustering in bioinformatics, pattern recognition, and astronomy.… read more here.
Keywords: local density; expression microarray; gene expression; density ... See more keywords
Determination of the local density of polydisperse nanoparticle assemblies.
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DOI: 10.1039/c7sm01640a
Abstract: Quantitative characterization of the average structure of dense nanoparticle assemblies and aggregates is a common problem in nanoscience. Small-angle scattering is a suitable technique, but it is usually limited to not too big assemblies due… read more here.
Keywords: local density; density polydisperse; nanoparticle assemblies; nanoparticle ... See more keywords
Local density changes and carbonate rotation enable Ba incorporation in amorphous calcium carbonate.
Sign Up to like & getrecommendations! Published in 2023 at "Chemical communications"
DOI: 10.1039/d3cc00959a
Abstract: Incorporation of a Ba impurity in amorphous calcium carbonate (ACC) is shown with ab initio molecular dynamics simulations to have a long-range effect on its atomic-level structure and to be energetically favoured relative to incorporation… read more here.
Keywords: amorphous calcium; incorporation; calcium carbonate; local density ... See more keywords
The validity of the local density approximation for smooth short range interaction potentials
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DOI: 10.1063/5.0012228
Abstract: In the full quantum theory, the energy of a many-body quantum system with a given one-body density is described by the Levy-Lieb functional. It is exact, but very complicated to compute. For practical computations, it… read more here.
Keywords: density approximation; local density; density; short range ... See more keywords
CLoNe: Automated clustering based on local density neighborhoods for application to biomolecular structural ensembles.
Sign Up to like & getrecommendations! Published in 2020 at "Bioinformatics"
DOI: 10.1093/bioinformatics/btaa742
Abstract: MOTIVATION Proteins are intrinsically dynamic entities. Flexibility sampling methods, such as molecular dynamics or those arising from integrative modeling strategies are now commonplace and enable the study of molecular conformational landscapes in many contexts. Resulting… read more here.
Keywords: local density; analysis; structural ensembles; ensembles clone ... See more keywords