In Law, commutation refers to a reduction in sentence for a criminal act.
In Electricity, commutation refers to the action of applying currents or voltages to the proper motor phases so as to produce optimum motor torque at the motor's shaft. In brush type motors, commutation is done electromechanically via graphite brushes and commutator. In brushless motors, commutation is done by switching electronics using rotor position information obtained by Hall sensors, optical encoder, or a resolver.
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Addition is commutative, meaning that one can reverse the terms in a sum left-to-right, and the result will be the same.
The fact that addition is commutative is known as the "commutative law of addition".
However, many binary operations are not commutative, such as subtraction and division, so it is misleading to speak of an unqualified "commutative law".
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