Monomial

Author

Eric W. Weisstein
April 6, 2004

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Algebra/Monomial.nb.

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

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

Orthogonality of Monimials on Unit Circle

FullSimplify[Exp[I (θ k+(2π-θ)l)],(k|l)∈Integers]

i1=Integrate[Exp[I (k-l)θ],{θ,0,2π}]

Simplify[i1,(k|l)∈Integers]

Limit[i1,l->k]

i2=Integrate[Exp[I (θ k+(2π-θ)l)],{θ,0,2π}]

Simplify[i1-i2,(k|l)∈Integers]