Constant Function
ConstantFunction
ConstantFunctionReIm
A constant function is function f(x)=c whose value 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 c is
| [画像: d/(dx)c=0, ] |
(1)
|
and the integral is
| [画像: intcdx=cx. ] |
(2)
|
The Fourier transform of the constant function f(x)=1 is given by
=int_(-infty)^inftye^(-2piikx)dx=delta(k),](/index.cgi/contrast/https://mathworld.wolfram.com/images/equations/ConstantFunction/NumberedEquation3.svg){kind=link}
where delta(k) is the delta function.
See also
Constant Map, Identity Function, Linear Function, Piecewise Constant Function, Fourier Transform--1, Zero FunctionExplore with Wolfram|Alpha
WolframAlpha
References
Spanier, J. and Oldham, K. B. "The Constant Function c." Ch. 1 in An Atlas of Functions. Washington, DC: Hemisphere, pp. 11-14, 1987.Referenced on Wolfram|Alpha
Constant FunctionCite this as:
Weisstein, Eric W. "Constant Function." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ConstantFunction.html