(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

(phi)n (theta)=(2*pi)^(-1/2) * e^i*n(theta) 0<=theta<=2pi

Show that the set of functions is orthonormal where n is an integer

2. Relevant equations

(phi)n (theta)=(2*pi)^(-1/2) * e^i*n(theta) 0<=theta<=2pi

Definition of orthonormal: functions are orthogonal and of unit length

Definition of orthogonality: integral psi i* psi j dTau=0

3. The attempt at a solution

At first i wasnt sure what it meant by unit length so i integrated the equation from 0 to 2pi

i got (-i*e^i*n*theta)/((root(2pi)) * n)

but i dont know how to evaluate to see if it is equal to 0.

And if by unit length it means normalize, do i need to normalize the equation first then integrate and see if its equal to 0?

thanks for any help in clearing this up.

EDIT: btw how do people show their equations with nice symbols and such?

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# Homework Help: Showing that a set of functions is orthonormal

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