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Continuity is a film term that suggests that a series of shots should be physically continuous, as if the camera simply changed angles in the course of a single event. For instance, if in one shot a beer glass is empty, it should not be full in the next shot. Live coverage of a sporting event would be an example of footage that is very continuous. Since the live operators are cutting from one live feed to another, the physical action of the shots matches very closely. Many people regard inconsistencies in continuity as mistakes, and often the editor is blamed. In film, however, continuity is very nearly last on a film editor's list of important things to maintain.
Technically, continuity is the responsibility of the script supervisor and film director, who are together responsible for preserving continuity and preventing errors from take to take and shot to shot. The script supervisor, who sits next to the director during shooting, keeps the physical continuity of the edit in mind as shots are set up. He is the editor's watchman. If shots are taken out of sequence, as is often the case, he will be alert to make sure that that beer glass is in the appropriate state. The editor utilizes the script supervisor's notes during post-production to log and keep track of the vast amounts of footage and takes that a director might shoot.