On an invariant related to a linear inequality
Copyright policy )On an invariant related to a linear inequality
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.
9 pages
- University of Amsterdam Netherlands
- Ben-Gurion University of the Negev Israel
Rademacher function, 15A39 (Primary), 11B99 (Secondary), Rings and Algebras (math.RA), Linear inequalities of matrices, Special sequences and polynomials, FOS: Mathematics, trigonometric integral, linear inequality, Mathematics - Rings and Algebras
Rademacher function, 15A39 (Primary), 11B99 (Secondary), Rings and Algebras (math.RA), Linear inequalities of matrices, Special sequences and polynomials, FOS: Mathematics, trigonometric integral, linear inequality, Mathematics - Rings and Algebras
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!