on the same set Common choices for the domain are intervals of real numbers, bounded or unbounded, the set of positive integers, the set of complex numbers and tuples of real/complex numbers. With the domain written explicitly or understood implicitly, one writes

:which is read as is of if there exists a positive real number such that
:

If (i.e. is also never zero) throughout the domain an equivalent definition is that the ratio is ''bounded'',

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