Editing Singular function (section)

==When referring to functions with a singularity==

When discussing [[mathematical analysis]] in general, or more specifically [[real analysis]] or [[complex analysis]] or [[differential equation]]s, it is common for a function which contains a [[mathematical singularity]] to be referred to as a 'singular function'. This is especially true when referring to functions which diverge to infinity at a point or on a boundary. For example, one might say, "''1/x'' becomes singular at the origin, so ''1/x'' is a singular function."

Advanced techniques for working with functions that contain singularities have been developed in the subject called [[Distribution (mathematics)|distributional]] or [[generalized function]] analysis. A [[weak derivative]] is defined that allows singular functions to be used in [[partial differential equation]]s, etc.