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Unformatted text preview: ) and cos( ). Therefore 8 cos(3 t ) cos(5 t ) f ( t ) = 2 + cos( t ) + . 3 5 2. When I was computing the Fourier coecients for sq( t ), I wanted to evaluate cos( n ) for various values of n . I started with n = 0, despite the fact that b 0 does not occur as a Fourier coecient. This was because I knew that these coecient would repeat after a while, so by starting early I would see the repetition quicker. 3. There were some questions about Fourier series for more general functionsby which I guess you meant non-periodic functions. This is possible, but you have to use sin( t ) for all values of , not just values which are multiplies of some fundamental circular frequency. This is the Fourier transform, and it is closely related to the Laplace transform. 4. Some people wanted to hear more about the Gibbs eect: please see the Supple-mentary Notes, 16....
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This note was uploaded on 01/31/2011 for the course MAT 17A taught by Professor Staff during the Winter '08 term at UC Davis.
- Winter '08