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Em3rgent0rdr (talk | contribs) →Even–odd decomposition: I also hear "component" used instead of "part". |
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==Even–odd decomposition==
If a real function has a ___domain that is self-symmetric with respect to the origin, it may be uniquely decomposed as the sum of an even and an odd function, which are called respectively the '''even part''' (or the '''even component''') and the '''odd part''' (or the '''odd component''') of the function, and are defined by
<math display
and
<math display=block>f_\text{odd}(x) = \frac {f(x)-f(-x)}{2}.</math>
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