commutator

/ˈkɑːmjəteɪtər/
noun
  1. A device in an electric motor or generator that reverses the direction of electric current to keep the motor spinning in one direction.
    • The commutator in the motor helps it run smoothly.
    • Engineers replaced the worn commutator to fix the generator.
    • A simple DC motor uses a commutator to change the current flow.
  2. In mathematics, an expression that measures how much two operations fail to commute (e.g., AB - BA for matrices).
    • In quantum mechanics, the commutator of position and momentum is important.
    • The commutator of two matrices is zero if they commute.
    • The professor calculated the commutator of the group elements.
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