Second, the function is extended from rational numbers to real numbers by right continuity.
As explained below, the Airy functions can be extended to the complex plane, giving entire functions.
Originally playing an advisory role, the function of the council was later extended to include both legislative and executive functions.
The function "ƒ" is also naturally extended to hyperreals between 0 and 1.
By analytic continuation, this function can be extended to a meromorphic function on the whole complex plane.
The function can be extended to all of the real line: applying the definition given above shows that the function repeats on each unit interval.
The function can be extended to sequences of actions by the following recursive equations:
Wannier functions have been extended to nearly periodic potentials as well.
These functions can be straightforwardly extended to n variables.
Not all these functions can be extended to continuous functions on M.