Molecular quantum similarity measures in Minkowski metric vector semispaces
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Publication:552001
DOI10.1007/S10910-008-9442-ZzbMath1217.81165OpenAlexW1971199983WikidataQ62511222 ScholiaQ62511222MaRDI QIDQ552001
Publication date: 21 July 2011
Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10910-008-9442-z
Minkowski metricshape functionsquantum similarity measuresvector semispacesgeneral weighted Minkowski metricunit shell
Related Items (13)
Generalized scalar products in Minkowski metric spaces ⋮ Time vectors and particle swarms defined as polyhedra in spherically enfolded spaces ⋮ Quantum similarity matrices column set as holograms of DF molecular point clouds ⋮ Shells, point cloud huts, generalized scalar products, cosines and similarity tensor representations in vector semispaces ⋮ Scaled Euclidean distances: a general dissimilarity index with a suitably defined geometrical foundation ⋮ Quantum similarity and QSPR in Euclidean-, and Minkowskian-Banach spaces ⋮ Quantum similarity and discrete representation of molecular sets ⋮ Quantum similarity, volume functions and generalized Carbó indices ⋮ Extended Minkowski spaces, zero norms, and Minkowski hypersurfaces ⋮ Natural vector spaces (inward power and Minkowski norm of a natural vector, natural Boolean hypercubes) and a Fermat's last theorem conjecture ⋮ Quantum polyhedra, definitions, statistics and the construction of a collective quantum similarity index ⋮ Logical Kronecker delta deconstruction of the absolute value function and the treatment of absolute deviations ⋮ Mathematical aspects of the LCAO MO first order density function. IV: A discussion on the connection of Taylor series expansion of electronic density (TSED) function with the holographic electron density theorem (HEDT) and the Hohenberg-Kohn theorem (HKT)
Cites Work
- On the statistical interpretation of density functions: Atomic shell approximation, convex sets, discrete quantum chemical molecular representations, diagonal vector spaces and related problems
- On quantum molecular similarity measures (QMSM) and indices (QMSI)
- Shell partition and metric semispaces: Minkowski norms, root scalar products, distances and cosines of arbitrary order
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