%0 Journal Article %T Average-Case Perturbations and Smooth Condition Numbers %A Diego Armentano %J Mathematics %D 2008 %I arXiv %X We define a new condition number adapted to directionally uniform perturbations. The definitions and theorems can be applied to a large class of problems. We show the relation with the classical condition number, and study some interesting examples. %U http://arxiv.org/abs/0812.2260v2