A balancing strategy |
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Affiliation: | Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania 16802, USA |
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Abstract: | Suppose x1, x2,…, is a sequence of vectors in Rk, 6Xn6⩽1, where 6(x1,…,xk)6 = maxj|xj|. An algorithm is given for choosing a corresponding sequence ε1, ε2,…, of numbers, εn = ±1, so that 6ε1x1+ … +εnxn6 remains small. |
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