Even and odd functions: Difference between revisions

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Odd functions: If the ___domain contains only positive numbers, the function is not odd
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For example, the [[hyperbolic cosine]] and the [[hyperbolic sine]] may be regarded as the even and odd parts of the exponential function, as the first one is an even function, the second one is odd, and
:<math>e^x=\underbrace{\cosh (x)}_{f_\text{eeveneven}(x)} + \underbrace{\sinh (x)}_{f_\text{odd}(x)}</math>.
 
==Further algebraic properties==