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...

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...

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...

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...

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...

{\displaystyle \textstyle \prod _{i=1}^{n}h_{i}} in H/H′, where H′ is the commutator subgroup of H. The order of the factors is irrelevant since H/H′ is abelian...

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...

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...

history. The Society publishes a quarterly online magazine, The Titanic Commutator, and operates a museum in Indian Orchard, Massachusetts, featuring artifacts...

specifically in group theory, a group is said to be perfect if it equals its own commutator subgroup, or equivalently, if the group has no non-trivial abelian quotients...

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...

A mercury swivel commutator is a connector mainly used in animal experimentation to prevent the twisting of electrode wires attached to moving animals...

center of E and [ , ] denotes the commutator. Equivalently, a group is quasisimple if it is equal to its commutator subgroup and its inner automorphism...

power switch known as the commutator is needed to keep the field correctly aligned across the spinning rotor. The commutator must become larger and more...

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...

corresponds exactly to the commutator product in geometric algebra and both use the same symbol × {\displaystyle \times } . The commutator product is defined...

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

on iron bars attached to a wooden cylinder on each axle, and simple commutators. It hauled a load of six tons at four miles per hour (6 kilometers per...

relatively simple. Also included in the manuscript was the Heisenberg commutator, his law of multiplication needed to describe certain properties of atoms...

of alternating current. Unlike a dynamo, a magneto does not contain a commutator to produce direct current. It is categorized as a form of alternator,...

Anshel–Anshel–Goldfeld protocol, also known as a commutator key exchange, is a key-exchange protocol using nonabelian groups. It was invented by Drs. Michael...

copper or brass commutator or 'slip ring' to the shaft, with springs pressing braided copper wire 'brushes' onto the slip rings or commutator which conduct...