# Toronto Math Forum

## APM346-2012 => APM346 Math => Misc Math => Topic started by: Aida Razi on November 11, 2012, 10:33:08 PM

Title: Last Year HW:5.4.12
Post by: Aida Razi on November 11, 2012, 10:33:08 PM
I am just wondering in this question when P.T. wrote Parseval's equality, it shouldn't contain "integral |sin(nÏ€x/l)|^2"; Right?
Title: Re: Last Year HW:5.4.12
Post by: Victor Ivrii on November 12, 2012, 04:58:43 AM
http://weyl.math.toronto.edu:8888/APM346-2011F-wiki/index.php/Home_Assignment_8#5.4.12 (http://weyl.math.toronto.edu:8888/APM346-2011F-wiki/index.php/Home_Assignment_8#5.4.12).

I am just wondering in this question when P.T. wrote Parseval's equality, it shouldn't contain "integral |sin(nÏ€x/l)|^2"; Right?

Yes, except $\int_0^l |sin(nÏ€x/l)|^2\,dx =l/2$, so you don't need this integral. Ditto for 5.4.13, 5.4.15.

And who is P.T.?
Title: Re: Last Year HW:5.4.12
Post by: Aida Razi on November 12, 2012, 11:57:41 AM
http://weyl.math.toronto.edu:8888/APM346-2011F-wiki/index.php/Home_Assignment_8#5.4.12 (http://weyl.math.toronto.edu:8888/APM346-2011F-wiki/index.php/Home_Assignment_8#5.4.12).

I am just wondering in this question when P.T. wrote Parseval's equality, it shouldn't contain "integral |sin(nÏ€x/l)|^2"; Right?

Yes, except $\int_0^l |sin(nÏ€x/l)|^2\,dx =l/2$, so you don't need this integral. Ditto for 5.4.13, 5.4.15.

And who is P.T.?

"Paul Tan" Last year student.
Title: Re: Last Year HW:5.4.12
Post by: Victor Ivrii on November 12, 2012, 01:59:45 PM

Yes, except $\int_0^l |sin(nÏ€x/l)|^2\,dx =l/2$, so you don't need this integral. Ditto for 5.4.13, 5.4.15.

And who is P.T.?

"Paul Tan" Last year student.
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