On an invariant related to a linear inequality

Details On an invariant related to a linear inequality On an invariant related to a linear inequality

2001-04-13

arxiv.org/abs/math/0104149v1

Arch. Math. (Basel) 79 (2003), 463-471

Mathematics

Rings and Algebras

9 pages

Scientific paper

Let A be an m-dimensional vector with positive real entries. Let A_{i,j} be the vector obtained from A on deleting the entries A_i and A_j. We investigate some invariant and near invariants related to the solutions E (m-2 dimensional vectors with entries either +1 or -1) of the linear inequality |A_i-A_j| < < A_i+A_j, where <,> denotes the usual inner product. One of our methods relates, by the use of Rademacher functions, integrals involving trigonometric quantities to these quantities.

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