标题： 关于与线性不等式相关的不变量 显示英文标题

标题： On an invariant related to a linear inequality

摘要： 设A是一个具有正实数元素的m维向量。 设A_{i,j}是从A中删除元素A_i和A_j得到的向量。 我们研究与线性不等式|A_i-A_j| < <E,A_{i,J}> < A_i+A_j相关的某些不变量和近似不变量，其中<E,>表示通常的内积。 我们的方法之一是利用Rademacher函数，将涉及三角函数量的积分与这些量联系起来。 显示英文摘要

摘要： 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| < <E,A_{i,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.