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2013 unit vectors in the plane
Authors:Imre Bárány  Boris D Ginzburg  Victor S Grinberg
Institution:1. Rényi Institute of Mathematics, Hungarian Academy of Sciences, PO Box 127, 1364 Budapest, Hungary;2. Department of Mathematics, University College London, Gower Street, London WC1E 6BT, England, United Kingdom;3. 1695 Betty Ct, Santa Clara, CA 95051, USA;4. 5628 Hempstead Rd, Apt 102, Pittsburgh, PA 15217, USA
Abstract:Given a norm in the plane and 2013 unit vectors in this norm, there is a signed sum of these vectors whose norm is at most one.
Keywords:Unit vectors  Norms  Signed sum
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