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{{Unreferenced|date=February 2011}}
'''Singularity functions''' are a class of discontinues functions that contain [[Mathematical singularity|singularity]], i.e. they are discontinuous at its singular points. Singularity functions have been heavily studied in the field of mathematics under the alternative names of [[generalized functions]] and [[distribution theory]]. The functions are notated with brackets, as <math>\langle x-a\rangle ^n</math> where ''n'' is an integer. The "<math>\langle \rangle</math>" are often refereed as '''singularity brackets''' . The functions are defined as:
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