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Definition of "onto" in English

preposition

  1. Arriving upon or on top of (speaking of a physical or metaphorical movement).

    • My cat just jumped onto the keyboard.
    • A new drug has just come onto the market.
  2. (informal) Aware of.

    • The thought-police were onto my plans of world domination.
  3. (mathematics) Being an onto function with a codomain of (see below).

    • The exponential function maps the set of real numbers onto the set of positive real numbers.

adjective

  1. (mathematics, of a function) Attaining each of the values in its codomain; having its image equal to its codomain.

    • Considered as a function on the real numbers, the exponential function is not onto, as it never takes on values less than or equal to zero.