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A Theorem on Exhaustible Sets Connected with Developments of Positive Real Numbers

โœ Scribed by Henry Blumberg

Book ID
123919903
Publisher
John Hopkins University Press
Year
1919
Tongue
English
Weight
506 KB
Volume
20
Category
Article
ISSN
0003-486X

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