Constant Function
A function 
which does
not change as its parameters vary. The function graph
of a one-dimensional 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
=int_(-infty)^inftye^(-2piikx)dx=delta(k),](./?mortyurl=https%3A%2F%2Fweb.archive.org%2Fweb%2F20160304210357im_%2Fhttp%3A%2F%2Fmathworld.wolfram.com%2Fimages%2Fequations%2FConstantFunction%2FNumberedEquation3.gif) |
(3)
|
where 
is the delta
function.
SEE ALSO: Constant Map, Identity Function, Piecewise Constant Function,
Fourier Transform--1, Zero
Function
REFERENCES:
Referenced on Wolfram|Alpha: Constant Function
CITE THIS AS:
Spanier, J. and Oldham, K. B. "The Constant Function 
." Ch. 1
in An
Atlas of Functions. Washington, DC: Hemisphere, pp. 11-14, 1987.
Weisstein, Eric W. "Constant Function." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/ConstantFunction.html
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plot 2 from x = -2
to 2