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What is Half Range Fourier Series Explained about?

(1) Fourier expansions can be derived for even and odd functions, yielding cosine and sine half-range expansions. (2) If a function f(x) is defined over half a range [0,L], there are two possible extensions to the full range [-L,L] - an even extension yielding a cosine series, and an odd extension yielding a sine series. (3) The integrals of even functions over their full range are twice the integral over half the range, while the integrals of odd functions are zero. Any function can be written as the

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