commutator background

commutator

/ˈkɑmjəteɪtər/ /ˈkɑməteɪtər/

Illustration commutator - Image 1

Illustration commutator - Image 2

noun

Conmutador

An electrical switch, in a generator or motor, that periodically reverses the direction of an electric current.

Examples :

"The small motor in my son's toy car has a commutator that flips the current, allowing the wheels to keep spinning in the same direction. "

El pequeño motor del coche de juguete de mi hijo tiene un conmutador que invierte la corriente, lo que permite que las ruedas sigan girando en la misma dirección.

electronics device machine electric technology

Illustration commutator - Image 1

noun

Conmutador

A binary map in a given group G, given by [g, h] = ghg−1h−1, where g and h are elements of G, which yields the group's identity if and only if the group operation commutes for g and h.

Examples :

"In group theory, the commutator of two elements tells us how much those elements fail to commute; if the commutator equals the identity element, then the elements commute perfectly. "

En la teoría de grupos, el conmutador de dos elementos nos dice cuánto fallan esos elementos en conmutar; si el conmutador es igual al elemento identidad, entonces los elementos conmutan perfectamente.

math group logic

Illustration commutator - Image 1

noun

Conmutador

A binary map in a given ring R, given by [a, b] = ab − ba, where a and b are elements of R, which yields the ring's zero element if and only if the multiplication operation commutes for a and b.

Examples :

"In abstract algebra, the commutator [x, y] = xy - yx shows us how much two elements x and y fail to commute; if the commutator equals zero, then x and y commute perfectly. "

En álgebra abstracta, el conmutador [x, y] = xy - yx nos muestra cuánto fallan dos elementos x e y en conmutar; si el conmutador es igual a cero, entonces x e y conmutan perfectamente.

math logic technical science system