A function is complex   analytic if it has this property at every point in the complex plane, and any function with this property is also continuous.
A local surface is a mapping from an open subset of the Cartesian plane to Rn that has this property, and all topological manifolds on three dimensions or fewer have this property. Functions that have this property only on a set of Lebesgue measure zero include one named for Blancmange. A function is complex   analytic if it has this property at every point in the complex plane, and any function with this property is also continuous. For ten points, identifythis property held by a function f at a point x if the limit as h goes to zero of
A local surface is a mapping from an open subset of the Cartesian plane to Rn that has this property, and all topological manifolds on three dimensions or fewer have this property.
differentiability [accept word forms]