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'''Fourier''' series express a piecewise continous, periodic function as a linear combination of [[orthogonal]] [[sine]] and [[cosine]] functions.
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'''Fourier series''' express a piecewise, continuous, periodic function as a linear combination of [[orthogonal]] [[sine]] and [[cosine]] functions.
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The Fourier series of a function ''f(t)'' is of the form:
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The Fourier [[series (mathematics)|series]] of a function ''f(t)'' is of the form:
 
:<math> f(t) = \frac{1}{2} a_0 + \sum_{n=1}^{\infty}[a_n \cos(\omega_n t) + b_n \sin(\omega_n t)] </math>
 
:<math> f(t) = \frac{1}{2} a_0 + \sum_{n=1}^{\infty}[a_n \cos(\omega_n t) + b_n \sin(\omega_n t)] </math>
 
where, ''n'' is an integer and
 
where, ''n'' is an integer and
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