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An isometric representation problem in quantum multimolecular polyhedra and similarity: (2) synisometry

Collective distances in quantum multimolecular polyhedra (QMP), which can be set as a scalar indices associated to the QMP variance vector, enhance the role of the pair density similarity matrix. This paper describes a simplified efficient algorithm to compute triple, quadruple or higher order densi...

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Autor Principal:	Carb?-Dorca Carr?, Ram?n
Formato:	Artículos
Lenguaje:	eng
Publicado:	2017
Materias:	QUANTUM MOLECULAR SIMILARITY QUANTUM MULTIMOLECULAR POLYHEDRA QUANTUM OBJECT SETS DENSITY FUNCTIONS DISCRETE ISOMETRIC AND SYNISOMETRIC REPRESENTATION COLLECTIVE DISTANCES COLLECTIVE SIMILARITY INDICES
Acceso en línea:	http://repositorio.educacionsuperior.gob.ec/handle/28000/4033
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spelling	oai:localhost:28000-40332017-04-13T17:33:53Z An isometric representation problem in quantum multimolecular polyhedra and similarity: (2) synisometry Carb?-Dorca Carr?, Ram?n QUANTUM MOLECULAR SIMILARITY QUANTUM MULTIMOLECULAR POLYHEDRA QUANTUM OBJECT SETS DENSITY FUNCTIONS DISCRETE ISOMETRIC AND SYNISOMETRIC REPRESENTATION COLLECTIVE DISTANCES COLLECTIVE SIMILARITY INDICES Collective distances in quantum multimolecular polyhedra (QMP), which can be set as a scalar indices associated to the QMP variance vector, enhance the role of the pair density similarity matrix. This paper describes a simplified efficient algorithm to compute triple, quadruple or higher order density similarity hypermatrices via an approximate isometry: a synisometric decomposition of the pair similarity matrix. Synisometries pretend to avoid the use of Minkowski metrics in QMP description problems, where the double density similarity matrix possesses negative eigenvalues. The synisometric decomposition of the similarity matrix opens the way to the general use of higher order approximate similarity elements in quantum QSAR and in the construction of scalar condensed vector statistical-like indices, for instance skewness and kurtosis. This might lead the way to describe, without excessive complication and within a real field computational framework, the collective structure of quantum multimolecular polyhedra. http://link.springer.com/article/10.1007%2Fs10910-015-0525-3 2017-04-12T18:53:26Z 2017-04-12T18:53:26Z 2015 article Carb?-Dorca, Ramon. (2015). An isometric representation problem in quantum multimolecular polyhedra and similarity: (2) synisometry. Journal of Mathematical Chemistry. Vol. 53. Pa?ses Bajos. pp. 1876-1884. 1572-8897 http://repositorio.educacionsuperior.gob.ec/handle/28000/4033 eng DOI: 10.1007/s10910-015-0525-3 closedAccess http://creativecommons.org/licenses/by-nc-sa/3.0/ec/ pp. 1876-1884.
institution	SENESCYT
collection	Repositorio SENESCYT
biblioteca	Biblioteca Senescyt
language	eng
format	Artículos
topic	QUANTUM MOLECULAR SIMILARITY QUANTUM MULTIMOLECULAR POLYHEDRA QUANTUM OBJECT SETS DENSITY FUNCTIONS DISCRETE ISOMETRIC AND SYNISOMETRIC REPRESENTATION COLLECTIVE DISTANCES COLLECTIVE SIMILARITY INDICES
spellingShingle	QUANTUM MOLECULAR SIMILARITY QUANTUM MULTIMOLECULAR POLYHEDRA QUANTUM OBJECT SETS DENSITY FUNCTIONS DISCRETE ISOMETRIC AND SYNISOMETRIC REPRESENTATION COLLECTIVE DISTANCES COLLECTIVE SIMILARITY INDICES Carb?-Dorca Carr?, Ram?n An isometric representation problem in quantum multimolecular polyhedra and similarity: (2) synisometry
description	Collective distances in quantum multimolecular polyhedra (QMP), which can be set as a scalar indices associated to the QMP variance vector, enhance the role of the pair density similarity matrix. This paper describes a simplified efficient algorithm to compute triple, quadruple or higher order density similarity hypermatrices via an approximate isometry: a synisometric decomposition of the pair similarity matrix. Synisometries pretend to avoid the use of Minkowski metrics in QMP description problems, where the double density similarity matrix possesses negative eigenvalues. The synisometric decomposition of the similarity matrix opens the way to the general use of higher order approximate similarity elements in quantum QSAR and in the construction of scalar condensed vector statistical-like indices, for instance skewness and kurtosis. This might lead the way to describe, without excessive complication and within a real field computational framework, the collective structure of quantum multimolecular polyhedra.
author	Carb?-Dorca Carr?, Ram?n
author_facet	Carb?-Dorca Carr?, Ram?n
author_sort	Carb?-Dorca Carr?, Ram?n
title	An isometric representation problem in quantum multimolecular polyhedra and similarity: (2) synisometry
title_short	An isometric representation problem in quantum multimolecular polyhedra and similarity: (2) synisometry
title_full	An isometric representation problem in quantum multimolecular polyhedra and similarity: (2) synisometry
title_fullStr	An isometric representation problem in quantum multimolecular polyhedra and similarity: (2) synisometry
title_full_unstemmed	An isometric representation problem in quantum multimolecular polyhedra and similarity: (2) synisometry
title_sort	isometric representation problem in quantum multimolecular polyhedra and similarity: (2) synisometry
publishDate	2017
url	http://repositorio.educacionsuperior.gob.ec/handle/28000/4033
_version_	1634995214002159616
score	11,871979

An isometric representation problem in quantum multimolecular polyhedra and similarity: (2) synisometry

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