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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...

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

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...

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

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...

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

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...

used to denote the commutator. In group theory, the commutator [g,h] is commonly defined as g−1h−1gh. In ring theory, the commutator [a,b] is defined as...

field coils are connected in series with the rotor windings through a commutator. It is often referred to as an AC series motor. The universal motor is...

L_{x},\;\;\left[L_{z},L_{x}\right]=i\hbar L_{y},} where [ , ] denotes the commutator [ X , Y ] ≡ X Y − Y X . {\displaystyle [X,Y]\equiv XY-YX.} This can be...

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

bracket of vector fields, also known as the Jacobi–Lie bracket or the commutator of vector fields, is an operator that assigns to any two vector fields...

current paths. The ends of the wire winding are connected to a commutator. The commutator allows each armature coil to be energized in turn and connects...

A plugboard or control panel (the term used depends on the application area) is an array of jacks or sockets (often called hubs) into which patch cords...

alternators. Dynamos generate pulsing direct current through the use of a commutator. Alternators generate alternating current. Mechanically, a generator consists...

current. The armature windings conduct AC even on DC machines, due to the commutator action (which periodically reverses current direction) or due to electronic...

Schrödinger picture respectively, H is the Hamiltonian and [·,·] denotes the commutator of two operators (in this case H and A). Taking expectation values automatically...

similar to the commutator of any pair of matrices. Conversely, any square matrix with zero trace is a linear combination of the commutators of pairs of matrices...