5 papers
Mal'tsev products of varieties, II
Tomasz Penza, Anna B. Romanowska
The Mal'tsev product of two varieties of the same similarity type is not in general a variety, because it can fail to be closed under homomorphic images. In the previous paper we p…
Mal'tsev products of varieties, I
Tomasz Penza, Anna B. Romanowska
We investigate the Mal'tsev product of two varieties and of the same similarity type. Such a product is usually a quasiv…
Finitely generated dyadic convex sets
K. Matczak, A. Mućka, A. B. Romanowska
Dyadic rationals are rationals whose denominator is a power of . We define dyadic -dimensional convex sets as the intersections with -dimensional dyadic space of an -di…
From affine to barycentric coordinates in polytopes
Anna B. Romanowska, Jonathan D. H. Smith, Anna Zamojska-Dzienio
Each point of a simplex is expressed as a unique convex combination of the vertices. The coefficients in the combination are the barycentric coordinates of the point. For each poin…
The inverse problem of convex polygon coordinates
A. B. Romanowska, J. D. H. Smith, A. Zamojska-Dzienio
Each convex combination of extreme points of a compact convex set represents a certain point of the convex set. Barycentric coordinates provide solutions to the inverse problem of…