noun

• (uncountable, mathematics) A characteristic property of a continuous function.
  "The definition of a continuous function assumes that the function is already defined for x = a. If this is not the case, however, it is sometimes possible to assign such a value to the function for x = a that the condition of continuity shall be satisfied."
• (narratology) A narrative device in episodic fiction where previous and/or future events in a series of stories are accounted for in present stories.
  "In “Treehouse Of Horror” episodes, the rules aren’t just different—they don’t even exist. If writers want Homer to kill Flanders or for a segment to end with a marriage between a woman and a giant ape, they can do so without worrying about continuity or consistency or fans griping that the gang is behaving out of character."
• (uncountable, film) Consistency between multiple shots depicting the same scene but possibly filmed on different occasions.
• (uncountable, radio, television) The announcements and messages inserted by the broadcaster between programmes.