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Non-Negative Digit Sets in Positional Number Systems

✍ Scribed by Odlyzko, A. M.


Book ID
115529993
Publisher
Oxford University Press
Year
1978
Tongue
English
Weight
912 KB
Volume
s3-37
Category
Article
ISSN
0024-6115

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A Method to Count the Positive 3-Subsets
✍ Giuseppe Marino; Giampiero Chiaselotti πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 99 KB

Let a 1 , . . . , a n be n real numbers with non-negative sum. We show that if n β‰₯ 12 there exist at least n-1 2 subsets of {a 1 , . . . , a n } with three elements which have non-negative sum.