(L^2)-Function

Author

Eric W. Weisstein
April 14, 2004

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Calculus/L2-Function.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/L2-Function.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

Plots

<<Graphics`Colors`
<<Utilities`Typesetting`

Show[GraphicsArray[
Plot[x^(-1/#),{x,0,1},PlotStyle->Red,
PlotRange->{0,5},
AxesLabel->TraditionalForm/@{x,x^InlineFraction[-1,#]},DisplayFunction->Identity]&/@{4,2}
],GraphicsSpacing->-.1]

Not (L^2)

Integrate[((((x^(-1/2))))^2),{x,0,1}]