In mathematics, the commutator gives an indication of the extent to which a certain binary operation fails to be commutative. There are different definitions...

A commutator is a rotary electrical switch in certain types of electric motors and electrical generators that periodically reverses the current direction...

algebra, the commutator subgroup or derived subgroup of a group is the subgroup generated by all the commutators of the group. The commutator subgroup is...

the technical problems of continuous rotation with the invention of the commutator, he called his early devices "electromagnetic self-rotors". Although they...

dynamo is an electrical generator that creates direct current using a commutator. Dynamos were the first electrical generators capable of delivering power...

speed and torque of the motor. It is an improvement on the mechanical commutator (brushes) used in many conventional electric motors. The construction...

In mathematical physics, the ternary commutator is an additional ternary operation on a triple system defined by [ a , b , c ] = a b c − a c b − b a c...

the commutator subspace of a two-sided ideal of bounded linear operators on a separable Hilbert space is the linear subspace spanned by commutators of...

mathematics, the commutator collecting process is a method for writing an element of a group as a product of generators and their higher commutators arranged...

interior product defined above and it is clear whether [·,·] denotes the commutator or the Lie bracket of vector fields. Various generalizations of the Lie...