Counting Sets of Integers, Nokof Which Sum to Another

✍ Scribed by Neil J. Calkin; Angela C. Taylor

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 254 KB
Volume: 57
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.1996.0051

No coin nor oath required. For personal study only.

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✍ Giuseppe Marino; Giampiero Chiaselotti 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 99 KB

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.