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The Singularities of the Distance Function Near Convex Boundary Points

✍ Scribed by Paolo Albano

Publisher
SP Birkhäuser Verlag Basel
Year
2009
Tongue
English
Weight
443 KB
Volume
16
Category
Article
ISSN
1021-9722

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📜 SIMILAR VOLUMES

Asymptotic Distribution of the Distance
Asymptotic Distribution of the Distance Function to the Farey Points
✍ Pavel Kargaev; Anatoly Zhigljavsky 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 337 KB

Let x be a real number in [0, 1], F n be the Farey sequence of order n and \ n (x) be the distance between x and F n . Assuming that n Ä we derive the asymptotic distributions of the functions n 2 \ n (x) and n\ n (x$Ân), 0 x$ n. We also establish the asymptotics for 1 0 \ $ n (x) dx, for all real $