 Just as the Dirac impulse can be realized in the weak limit as a sequence of various kinds of constant norm bump functions of ever increasing amplitude and narrowing support, its derivative can by definition be realized as the weak limit of the negative derivatives of said functions, which are now antisymmetric about the eventual distribution's point of singular support.Throughout, "n" is a fixed positive integer, "U" is a fixed non-empty open subset of Euclidean space formula_26, and formula_27.In the following, real-valued distributions on an open subset "U" will be formally defined.