1. The travel of a commuter
   "His daily commuting took up two hours of his day";
   - commutation

1. Travel back and forth regularly, as between one's place of work and home
   "She commutes two hours each day to her job in the city"
    
2. Exchange or replace with another, usually of the same kind or category
   "The governor commuted his sentence to life imprisonment";
   - change, exchange, convert
    
3. Exchange a penalty for a less severe one
   "The judge commuted his sentence from life in prison to 25 years";
   - convert, exchange
    
4. Change the order or arrangement of
   "The mathematician commuted the terms in the equation";
   - permute, transpose, permutate [rare]
    
5. (mathematics) exchange positions without a change in value
   "These operators commute with each other";
   - transpose

Type of: alter, change, jaunt, modify, replace, reverse, travel, traveling [US], travelling [Brit, Cdn], trip, turn

Encyclopedia: Commuting