Algebry barycentryczne i współrzędne barycentryczne

Prelegent(ci)

Anna Zamojska-Dzienio

Afiliacja

Politechnika Warszawska

Język referatu

polski

Termin

24 października 2024 12:15

Pokój

p. 5450

Tytuł w języku angielskim

Barycentric algebras and barycentric coordinates

Seminarium

Seminarium „Algebra”

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Barycentric algebras were introduced in the nineteen-forties for the axiomatization of real convex sets, presented algebraically with binary operations given by weighted means, the weights taken from the (open) unit interval in the real numbers. In this talk, we first examine the algebraic aspects of barycentric algebras. Then, we focus on barycentric coordinates and our approach to study them, based on barycentric algebras. We present some recent results obtained together with A. Romanowska (Warsaw University of Technology) and J. D. H. Smith (Iowa State University).

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