verb (used with object), commuted, commuting.
to change (a prison sentence or other penalty) to a less severe one: The death sentence was commuted to life imprisonment.
to exchange for another or for something else; give and take reciprocally; interchange.
to change: to commute base metal into gold.
to change (one kind of payment) into or for another, as by substitution.
verb (used without object), commuted, commuting.
to travel regularly over some distance, as from a suburb into a city and back: He commutes to work by train.
to make substitution.
to serve as a substitute.
to make a collective payment, especially of a reduced amount, as an equivalent for a number of payments.
Mathematics. to give the same result whether operating on the left or on the right.
a trip made by commuting: It's a long commute from his home to his office.
an act or instance of commuting.

1400–50; 1885–90 for def 5; late Middle English < Latin commūtāre to change, replace, exchange, equivalent to com- com- + mūtāre to change

uncommuted, adjective

commute, forgive, pardon (see synonym study at pardon). Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
commute (kəˈmjuːt)
1.  (intr) to travel some distance regularly between one's home and one's place of work
2.  (tr) to substitute; exchange
3.  (tr) law to reduce (a sentence) to one less severe
4.  to pay (an annuity) at one time, esp with a discount, instead of in instalments
5.  (tr) to transform; change: to commute base metal into gold
6.  (intr) to act as or be a substitute
7.  (intr) to make a substitution; change
8.  a journey made by commuting
[C17: from Latin commutāre to replace, from com- mutually + mutāre to change]

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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Word Origin & History

mid-15c., from L. commutare "to often change, to change altogether," from com- intensive prefix + mutare "to change" (see mutable). Sense of "make less severe" is 1633. Sense of "go back and forth to work" is 1889, from commutation ticket "season pass" (on a railroad, streetcar
line, etc.), from commute in its sense of "to change one kind of payment into another" (1795), especially "to combine a number of payments into a single one." Related: commuting.
Online Etymology Dictionary, © 2010 Douglas Harper
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American Heritage
Science Dictionary
commute   (kə-myt')  Pronunciation Key 
To yield the same result regardless of order. For example, numbers commute under addition, which is a commutative operation. Generally, any two operators H and G commute if their commutator is zero, i.e. HG - GH = 0.
The American Heritage® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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Example sentences
Parents spend much time commuting to and from jobs.
The new ranking generates some surprises, especially when compared with other
  measures of commuting and congestion.
It fails to take account of increased traffic congestion, which raises the cost
  of commuting.
Cars make sense for suburbanites commuting into a dense big city on cheap gas
  and open roads.
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