Commutator - Wikipedia
网页In mathematics, the commutator gives an indication of the extent to which a certain binary operation fails to be commutative. There are different definitions used in group theory and ring theory.
Commutator (electric) - Wikipedia
网页A commutator is a rotary electrical switch in certain types of electric motors and electrical generators that periodically reverses the current direction between the rotor and the external circuit. It consists of a cylinder composed of multiple metal contact segments on the rotating armature of the machine.
交換子 - 维基百科，自由的百科全书
网页在抽象代数中，一个群的交換子（commutator）或换位子是一个二元運算子。设g及h 是 群G中的元素，他們的交換子是g −1 h −1 gh，常記為[ g, h]。只有当g和h符合交换律（即gh = hg）时他们的交换子才是这个群的单位元。
Commutator -- from Wolfram MathWorld
网页2024年8月22日 · Let A^~, B^~, ... be operators. Then the commutator of A^~ and B^~ is defined as [A^~,B^~]=A^~B^~-B^~A^~.
整流子 - 维基百科，自由的百科全书
网页整流子（英語： Commutator ），又称为换向器，是直流电动机、直流发电机和交流整流子电动机之电枢上的一个重要部件。 整流子是由许多铜片组（换向片）成圆筒形或盘形结构，铜片之间由 云母 或其他 绝缘材料 隔绝缘，每一铜片均与电枢 绕组元件 相连接，当 ...
Commutator - Definition, Construction, Function, Operation, …
网页Commutator is a rotary switch that is used to convert AC to DC. They periodically reverse the current between the rotor and the external circuit. Learn its construction, definition and more.
Commutator - Encyclopedia of Mathematics
网页2014年4月10日 · Commutator. of two elements $a$ and $b$ in a group with multiple operators. The element. $$-a-b+a+b.$$. For groups without multiple operators (here the …
What is a commutator - Mathematics Stack Exchange
网页If $a,b\in G$ then $ab=ba$ is equivalent to $aba^{-1}b^{-1}=e$ and so the commutator of $a$ and $b$ is a measure of the failure of $a$ and $b$ commuting with each other. However, as a measure alone, it is somewhat binary: either group elements commute or …
Commutators - University of California, San Diego
网页Operators (or variables in quantum mechanics) do not necessarily commute. We can see our first example of that now that we have a few operators. We define the commutator to be
Commutator algebra in quantum mechanics - YouTube
网页In this video we go over a series of exercises to understand the mathematical properties of commutators. 📚 Operators in quantum mechanics do not always comm...