1.verbTo exchange substantially; to abate but not abolish completely, a penalty, obligation, or payment in return for a great, single thing or an aggregate; to cash in; to lessen
"to commute tithes into rentcharges for a sum; to commute market rents for a premium, to commute daily fares for a season ticket"
2.verbOf an operation, to be commutative, i.e. to have the property that changing the order of the operands does not change the result.
"A pair of matrices share the same set of eigenvectors if and only if they commute."
3.verbTo regularly travel from one's home to one's workplace or school, or vice versa.
"I commute from Brooklyn to Manhattan by bicycle."