Počet záznamů: 1
Projective Geometry and the Law of Mass Action
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SYSNO ASEP 0335097 Druh ASEP C - Konferenční příspěvek (mezinárodní konf.) Zařazení RIV D - Článek ve sborníku Název Projective Geometry and the Law of Mass Action Tvůrce(i) Gottvald, Aleš (UPT-D) RID Celkový počet autorů 1 Zdroj.dok. Mendel 2009 - 15th International Conference on Soft Computing. - Brno : Brno University of Technology, 2009 - ISBN 978-80-214-3884-2 Rozsah stran s. 259-268 Poč.str. 10 s. Akce Mendel 2009 - International Conference on Soft Computing /15./ Datum konání 24.06.2009-26.06.2009 Místo konání Brno Země CZ - Česká republika Typ akce WRD Jazyk dok. eng - angličtina Země vyd. CZ - Česká republika Klíč. slova projective geometry ; chemical equilibrium ; law of mass action ; cross-ratio ; incidence structure ; Ceva's theorem ; Menelaus' theorem ; Routh's theorem ; Camot's theorem ; cyclic products ; Riccati's equation Vědní obor RIV BA - Obecná matematika CEZ AV0Z20650511 - UPT-D (2005-2011) UT WOS 000273029500039 Anotace A new law of nature asserts that chemical equilibria and chemical kinetics are governed by fundamental principles of projective geometry. The equilibrium constans of chemical reactions are the invariants of projective geometry in disguise. Chemical reactions may geometrically be represented by incidence structures, which are preserved under projective transformations. Theorems of Ceva, Menelaus, and Carnot for triangles and n-gons represent the chemical equilibria, while Routh's theorem represents non-equilibria. Intrinsically projective Riccati's differential equation, being also generic to many other equations of mathematical physics, governs parametric dependence of the equilibrium constants. The theory offers tangible geometrizations and generalizations to the Law of Mass Action, including a new projective-geometric approach to soft computing of very complex problems. Pracoviště Ústav přístrojové techniky Kontakt Martina Šillerová, sillerova@ISIBrno.Cz, Tel.: 541 514 178 Rok sběru 2010
Počet záznamů: 1