A Minimum Problem for Finite Sets of Real Numbers with Nonnegative Sum
Let 𝑛 and 𝑟 be two integers such that 0<𝑟≤𝑛; we denote by 𝛾(𝑛,𝑟)[𝜂(𝑛,𝑟)] the minimum [maximum] number of the nonnegative partial sums of a sum ∑𝑛1=1𝑎𝑖≥0, where 𝑎1,…,𝑎𝑛 are 𝑛 real numbers arbitrarily chosen in such a way that 𝑟 of them are nonnegative and the remaining 𝑛−𝑟 are negative. We study t...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/847958 |
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