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Geometrochemistry vs Soft Computing of Mendeleev's Brain
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SYSNO ASEP 0352590 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Geometrochemistry vs Soft Computing of Mendeleev's Brain Author(s) Gottvald, Aleš (UPT-D) RID Number of authors 1 Source Title Mendel 2010 - 16th International Conference on Soft Computing. - Brno : Brno University of Technology, 2010 - ISBN 978-80-214-4120-0 Pages s. 558-564 Number of pages 7 s. Action Mendel 2010 - International Conference on Soft Computing /16./ Event date 23.06.2010-25.06.2010 VEvent location Brno Country CZ - Czech Republic Event type WRD Language eng - English Country CZ - Czech Republic Keywords projective geometry ; Law of Mass Action ; Mendeleev periodic table ; brain information processing ; artificial neural networks ; cross-ratio ; incidence structures Subject RIV BD - Theory of Information CEZ AV0Z20650511 - UPT-D (2005-2011) UT WOS 000288144100086 Annotation The role of projective geometry in nature remains somewhat enigmatic for centuries. It is very strange indeed, as the projective geometry is the mother of all geometries with more restrictive symmetry groups, as clearly recognized yet by seminal insights of Felix Klein, Arthur Cayley, Paul Dirac and other eminent scientists. We usually imagine that Euclidean geometry is primary for the geometrization of our (nonrelativistic) spaces, and the Euclidean-Pythagorean metric is natural for measuring the distances in such a space. However, how to measure distances in spaces associated with statistical thermodynamics or quantum mechanics? We show that projective geometry and associated "geometrochemistry" is manifest in nature. In particular, it offers a novel soft-computing rationale for recovering basic structure of Mendeleev's periodic table of chemical elements, and elucidates some mysteries of brain information processing, including a new understanding of Artificial Neural Networks. Workplace Institute of Scientific Instruments Contact Martina Šillerová, sillerova@ISIBrno.Cz, Tel.: 541 514 178 Year of Publishing 2011
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