Shell partition and metric semispaces: Minkowski norms, root scalar products, distances and cosines of arbitrary order

DOI10.1023/A:1021250527289zbMath1027.81512OpenAlexW190872891WikidataQ62511391 ScholiaQ62511391MaRDI QIDQ1861889

Publication date: 10 March 2003

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021250527289

zbMATH Keywords

density functions Boolean tagged sets tagged sets vector semispaces unit shell Minkowski norms homothetic structures inward matrix products matrix nullity matrix signature root cosine root distances rootscalar products semispace shells vector space generation

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Molecular physics (81V55) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (22)

Generalized scalar products in Minkowski metric spaces ⋮ Definition of norm coherent generalized scalar products and quantum similarity ⋮ Time vectors and particle swarms defined as polyhedra in spherically enfolded spaces ⋮ Vector spaces defined over the unit interval ⋮ 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 ⋮ An isometric representation problem in quantum multimolecular polyhedra and similarity ⋮ An isometric representation problem in quantum multimolecular polyhedra and similarity: II: Synisometry ⋮ A theorem on the Gram matrix of a polyhedron ⋮ Natural vector spaces (inward power and Minkowski norm of a natural vector, natural Boolean hypercubes) and a Fermat's last theorem conjecture ⋮ Logical Kronecker delta deconstruction of the absolute value function and the treatment of absolute deviations ⋮ Diagonal coefficient representation of density functions and quantum similarity measures ⋮ Molecular quantum similarity measures in Minkowski metric vector semispaces ⋮ Centroid origin shift of quantum object sets and molecular point clouds description and element comparisons ⋮ A discussion on the Einstein-Podolski-Rosen (EPR) effect* in a unique wavefunction quantum mechanical framework ⋮ Descriptors and probability distributions in MO theory: weighted Mulliken matrices and molecular quantum similarity measures ⋮ Variational principle, Hohenberg-Kohn theorem, and density function origin shifts ⋮ Shadows' hypercube, vector spaces, and non-linear optimization of QSPR procedures

This page was built for publication: Shell partition and metric semispaces: Minkowski norms, root scalar products, distances and cosines of arbitrary order