Název: Geometrochemistry vs Soft Computing of Mendeleev's Brain
Autoři: Gottvald, Aleš
Typ dokumentu: Příspěvky z konference
Konference/Akce: Mendel 2010 - International Conference on Soft Computing /16./, Brno (CZ), 2010-06-23 / 2010-06-25
Rok: 2010
Jazyk: eng
Abstrakt: 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.
Klíčová slova: artificial neural networks; brain information processing; cross-ratio; incidence structures; Law of Mass Action; Mendeleev periodic table; projective geometry
Číslo projektu: CEZ:AV0Z20650511 (CEP)
Zdrojový dokument: Mendel 2010 - 16th International Conference on Soft Computing, ISBN 978-80-214-4120-0

Instituce: Ústav přístrojové techniky AV ČR (web)
Informace o dostupnosti dokumentu: Dokument je dostupný v příslušném ústavu Akademie věd ČR.
Původní záznam: http://hdl.handle.net/11104/0192068

Trvalý odkaz NUŠL: http://www.nusl.cz/ntk/nusl-42243


Záznam je zařazen do těchto sbírek:
Věda a výzkum > AV ČR > Ústav přístrojové techniky
Konferenční materiály > Příspěvky z konference