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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Exhausting an area with discs
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by P. Erdős and D. J. Newman
Proc. Amer. Math. Soc. 45 (1974), 305-308
DOI: https://doi.org/10.1090/S0002-9939-1974-0355833-1
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Abstract:

The general question is, just how much of a given area may be covered by interior disjoint discs? We simplify matters by choosing the unit square as our given area, and then give estimates (upper and lower) on how much of it may be so covered by $n$ discs.
References
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Bibliographic Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 45 (1974), 305-308
  • MSC: Primary 52A45
  • DOI: https://doi.org/10.1090/S0002-9939-1974-0355833-1
  • MathSciNet review: 0355833