A vector-sum theorem in two-dimensional space |
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| Authors: | I. Bárány V. S. Grinberg |
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| Affiliation: | (1) MTA Matematikai Kutató Intézet, Reáltanoda u. 13-15, P.O.Box 127, H-1364 Budapest, Hungary;(2) ul. Danilevskogo 10, kv. 93, Harkov 58, USSR |
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| Abstract: | Given a finite setX of vectors from the unit ball of the max norm in the twodimensional space whose sum is zero, it is always possible to writeX = {x1,  , xn} in such a way that the first coordinates of each partial sum lie in [–1, 1] and the second coordinates lie in [–C, C] whereC is a universal constant. |
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| Keywords: | Primary 52A40 Secondary 05A05 |
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