Editing Even and odd functions (section)

===Series===
* The [[Maclaurin series]] of an even function includes only even powers.
* The Maclaurin series of an odd function includes only odd powers.
* The [[Fourier series]] of a [[periodic function|periodic]] even function includes only [[trigonometric function|cosine]] terms.
* The Fourier series of a periodic odd function includes only [[trigonometric function|sine]] terms.
*The [[Fourier transform]] of a purely real-valued even function is real and even. (see {{slink|Fourier_analysis|Symmetry_properties}})
*The Fourier transform of a purely real-valued odd function is imaginary and odd. (see {{slink|Fourier_analysis|Symmetry_properties}})