onto
Pronunciation:
/ˈɒn.tuː//ˈɑn.tu/adjective
Definitions
(of a function) Assuming each of the values in its codomain; having its range equal to its codomain.
Example: Considered as a function on the real numbers, the exponential function is not onto.
preposition
Definitions
Upon; on top of.
Example: My cat just jumped onto the keyboard.
Aware of.
Example: The thought-police were onto my plans of world domination.
Being an onto function with a codomain of (see below).
Example: The exponential function maps the set of real numbers onto the set of positive real numbers.