For ten points, identify this function equal to zero everywhere but the origin, at which it is equal to infinity.
The Shah distribution consists of the sum of equally spaced horizontal transformations of this function, which is also known as its namesake's comb . The Sokhotski-Plemelj theorem relates this function to the Cauchy principle value of the reciprocal function. This function can be expressed as the derivative of the Heaviside step function. This function is the limit of a sequence of strongly peaked functions, and Kronecker names a discrete analog of this function. The integral of this function over an interval is zero unless that interval contains the origin, in which case it is one. For ten points, identify this function equal to zero everywhere but the origin, at which it is equal to infinity. 
The Shah distribution consists of the sum of equally spaced horizontal transformations of this function, which is also known as its namesake's comb .
Dirac delta function [prompt on delta function] 