Publication Date:
2012-01-01
Description:
Let and be two integers such that ; we denote by the minimum [maximum] number of the nonnegative partial sums of a sum , where are real numbers arbitrarily chosen in such a way that of them are nonnegative and the remaining are negative. We study the following two problems:which are the values ofandfor eachand,?ifis an integer such that, can we findreal numbers,such thatof them are nonnegative and the remainingare negative with,such that the number of the nonnegative sums formed from these numbers is exactly?
Print ISSN:
1110-757X
Electronic ISSN:
1687-0042
Topics:
Mathematics
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