Definition of commut
1. commute [ v ] transpose and remain equal in value; of variables or operators, in mathematics
Examples:
"These operators commute with each other"
(Kenneth Hoffman and Ray Kunze, Linear Al...)
If * * f are the projections associated with the primary decomposition of T , then each * * f is a polynomial in T , and accordingly if a linear_operator U commutes with T then U commutes with each of the * * f i.e. , each subspace * * f is invariant under U .
If * * f are the projections associated with the primary decomposition of T , then each * * f is a polynomial in T , and accordingly if a linear_operator U commutes with T then U commutes with each of the * * f i.e. , each subspace * * f is invariant under U .
We have just observed that we can write * * f where D is diagonalizable and N is nilpotent , and where D and N not_only commute but are polynomials in T .
Since D ' and N ' commute with one another and * * f , we see that D ' and N ' commute with T .
Since D ' and N ' commute with one another and * * f , we see that D ' and N ' commute with T .
Synonyms commute transpose Related Terms change mathematics2. commute [ v ] travel back and forth regularly, as between one's place of work and home
Used in print:(Orlin J. Scoville, Part-Time Farming...)
Land within commuting distance of a growing city is usually high in price , higher if it has subdivision possibilities .
Synonyms commute travel_back_and_forth Related Terms travel live_out commutation3. commute [ v ] change the order or arrangement of
Examples:
"Dyslexics often transpose letters in a word"
(John Michael Ray, "Rhode Island's Reactions...)
Concerning the sentence , Foss wrote , `` If it be possible that mercy shall override vengeance and that John_Brown 's sentence shall be commuted to imprisonment , it would be well - well for the country and for Virginia '' .
Synonyms commute transpose permute Related Terms change_by_reversal map transposition permutation4. commute [ v ] exchange a penalty for a less severe one
Used in print:(Chicago Daily Tribune,...)
She had been sentenced to 180 years in prison , but former Gov._Stratton commuted her term to 75 years , making her eligible for parole , as one of his last acts in office .
Synonyms commute exchange convert Related Terms change exchange5. commute [ v ] exchange or replace with another, usually of the same kind or category
Examples:
"Could you convert my dollars into pounds?"
"He changed his name"
"convert centimeters into inches"
"convert holdings into shares"
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