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A Method to Count the Positive 3-Subsets in a Set of Real Numbers with Non-Negative Sum

✍ Scribed by Giuseppe Marino; Giampiero Chiaselotti

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 99 KB
Volume: 23
Category: Article
ISSN: 0195-6698
DOI: 10.1006/eujc.2002.0587

No coin nor oath required. For personal study only.

✦ Synopsis

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

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