Continuity mistake: In the Shuttle, Q's hair is arranged in bangs on his forehead. A split second later in Ten Forward, his hair is up and back from his forehead in the familiar style.
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Suggested correction: Q's powers has shown in the past that he can change his looks in an instance, as well as his location and anyone else he chooses. This is precisely what happens here.
Continuity mistake: When the security man gets tossed by the Borg, as he lands and rolls next to the far wall, his phaser falls out of the holster, and lands next to his shin. A second later, it's about two feet away from his leg.
