## Constant Function

A Function which does not change as its parameters vary. The Graph of a 1-D constant Function is a straight Line. The Derivative of a constant Function is

 (1)

and the Integral is
 (2)

The Fourier Transform of the constant function is given by
 (3)

where is the Delta Function.

Spanier, J. and Oldham, K. B. The Constant Function .'' Ch. 1 in An Atlas of Functions. Washington, DC: Hemisphere, pp. 11-14, 1987.