Quantum similarity and QSPR in Euclidean-, and Minkowskian-Banach spaces
DOI10.1007/S10910-023-01454-YOpenAlexW4317952014MaRDI QIDQ2696371
Publication date: 11 April 2023
Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10910-023-01454-y
classical QSPRdimension condensationEuclidian- and Minkowskian-Banach spacesmetric or signature vectorMinkowskian isometric vectorsMinkowskian similarity matricesquantum QSPR algorithmvector space generation via the unit shell
Foundations, quantum information and its processing, quantum axioms, and philosophy (81Pxx) Chemistry (92Exx) Applications of quantum theory to specific physical systems (81Vxx)
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Cites Work
- Time vectors and particle swarms defined as polyhedra in spherically enfolded spaces
- Shells, point cloud huts, generalized scalar products, cosines and similarity tensor representations in vector semispaces
- Least squares estimation of unknown molecular properties and quantum QSPR fundamental equation
- An isometric representation problem in quantum multimolecular polyhedra and similarity
- An isometric representation problem in quantum multimolecular polyhedra and similarity: II: Synisometry
- Diagonal coefficient representation of density functions and quantum similarity measures
- Molecular quantum similarity measures in Minkowski metric vector semispaces
- Quantum similarity and discrete representation of molecular sets
- Nonlinear terms \& variational approach in quantum QSPR
- Fuzzy hypercubes and their time-like evolution
- Generalized scalar products in Minkowski metric spaces
- Definition of norm coherent generalized scalar products and quantum similarity
- On the extension of quantum similarity to atomic nuclei: Nuclear quantum similarity
- Tagged sets, convex sets and quantum similarity measures
- On quantum molecular similarity measures (QMSM) and indices (QMSI)
- Quantum molecular similarity measures (QMSM) as a natural way leading towards a theoretical foundation of quantitative structure-properties relationships (QSPR)
- Shell partition and metric semispaces: Minkowski norms, root scalar products, distances and cosines of arbitrary order
- Infinite-dimensional time vectors as background building blocks of a space-time frame structure
- A mathematical discussion on density and shape functions, vector semispaces and related questions
- About the concept of chemical space: a \textit{concerned} reflection on some trends of modern scientific thought within theoretical chemical lore
- Collective Euclidian distances and quantum similarity
- EMP as a similarity measure: a geometric point of view
- Shadows' hypercube, vector spaces, and non-linear optimization of QSPR procedures
- Determination of unknown molecular properties in molecular spaces
- Extended Minkowski spaces, zero norms, and Minkowski hypersurfaces
- Quantum polyhedra, definitions, statistics and the construction of a collective quantum similarity index
- Cantor-like transfinite sequences and Gödel-like incompleteness revealed by means of Mersenne transfinite dimensional Boolean hypercube concatenation
- Universal transformation and non-linear connection between experimental and calculated property vectors in QSPR
- Boolean hypercubes as time representation holders
- Quantum QSAR and the eigensystems of stochastic quantum similarity matrices
- Inward matrix product algebra and calculus as tools to construct space--time frames of arbitrary dimensions
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