Constant Function

Author

Eric W. Weisstein
January 14, 2006

This notebook downloaded from http://mathworld.wolfram.com/notebooks/SpecialFunctions/ConstantFunction.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/ConstantFunction.html.

©2006 Wolfram Research, Inc. except for portions noted otherwise

Plots

<<Utilities`Plot`

Real Axis

Plot[1,{x,-1,1},Ticks->{Automatic,None},PlotStyle->{Red},AxesLabel->TraditionalForm/@{x,c}]

ComplexPlot3D[1,{z,-5,5},ComplexPlotLabel->HoldForm[1]]

ComplexContourPlot[1,{z,-5,5},ComplexPlotLabel->HoldForm[1]]

Derivative

D[c,x]

Integral

Integrate[c,x]

Fourier Transform

v4.2

Integrate[Exp[-2π I k x],{x,-∞,∞}]

Integrate[Exp[-2π I k x],{x,-∞,∞},GenerateConditions->False]

FourierTransform[1,k,x,FourierParameters->{0,2π}]

v5.0

Integrate[Exp[-2π I k x],{x,-∞,∞}]

Integrate[Exp[-2π I k x],{x,-∞,∞},GenerateConditions->False]

FourierTransform[1,k,x,FourierParameters->{0,2π}]