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math.MG2025
On computable classes of equidistant sets: multivariate equidistant functions
Ábris Nagy, Márk Oláh, Myroslav Stoika +1
An equidistant set in the Euclidean space consists of points having equal distances to both members of a given pair of sets, called focal sets. Having no effective formulas to comp…
math.MG2013
Generalized conic functions of hv-convex planar sets: continuity properties and relations to X-rays
Csaba Vincze, Ábris Nagy
In the paper we investigate the continuity properties of the mapping which sends any non-empty compact connected hv-convex planar set to the associated generalized conic fu…