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Creators/Authors contains: "Akopyan, Arseniy"

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  1. ; (, Studia Scientiarum Mathematicarum Hungarica)
    In this note we introduce a pseudometric on closed convex planar curves based on distances between normal lines and show its basic properties. Then we use this pseudometric to give a shorter proof of the theorem by Pinchasi that the sum of perimeters of 𝑘 convex planar bodies with disjoint interiors contained in a convex body of perimeter 𝑝 and diameter 𝑑 is not greater than 𝑝 + 2(𝑘 − 1)𝑑. 
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    Free, publicly-accessible full text available November 21, 2025
  2. ; ; (, European Journal of Mathematics)
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