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I am usually more comfortable working with sines and cosines. However, its often cleaner and more efficient to work with exponentials.

Is there a reason other then preference, to use one over the other?

EDIT: Thinking more on this, Exp Fourier series allows the spectra to be expanded into negative frequency. But in the end, isnt this the same information?

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    You seem to already have given two great reasons: it's often cleaner and more efficient to work with exponentials. What else do you want to hear?2012-09-21
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    I wanted to know if there was a mathematical reason to use one form over the other. Something beyond personal preference.2012-09-21
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    Cleanliness and efficiency aren't mathematical reasons?2012-09-21
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    No, cleanliness and efficiency (in this context with no measurable baseline) are subjective in my opinion. One may find something efficient, while another may find it cumbersome.2012-09-24

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