commutative law
commutative law, in mathematics, law holding that for a given binary operation (combining two quantities) the order of the quantities is arbitrary; e.g., in addition, the numbers 2 and 5 can be combined as 2+5=7 or as 5+2=7. More generally, in addition, for any two numbers a and b the commutative law is expressed as a+b=b+a. Multiplication of numbers is also commutative, i.e., a×b=b×a. In general, any binary operation, symbolized by ∘, joining mathematical entities A and B obeys the commutative law if A∘B=B∘A for all possible choices of A and B. Not all operations are commutative; e.g., subtraction is not since 25≠52, and division is not since 2/5≠5/2.
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"commutative law." The Columbia Encyclopedia, 6th ed.. . Encyclopedia.com. 27 May. 2017 <http://www.encyclopedia.com>.
"commutative law." The Columbia Encyclopedia, 6th ed.. . Encyclopedia.com. (May 27, 2017). http://www.encyclopedia.com/reference/encyclopediasalmanacstranscriptsandmaps/commutativelaw
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commutative law
commutative law Rule of combination in mathematics; it requires that an operation on two terms is independent of the order of the terms. Addition and multiplication of numbers is commutative, since a + b = b + a and ab = ba. Vector crossmultiplication does not obey the commutative law.
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"commutative law." World Encyclopedia. . Encyclopedia.com. 27 May. 2017 <http://www.encyclopedia.com>.
"commutative law." World Encyclopedia. . Encyclopedia.com. (May 27, 2017). http://www.encyclopedia.com/environment/encyclopediasalmanacstranscriptsandmaps/commutativelaw
"commutative law." World Encyclopedia. . Retrieved May 27, 2017 from Encyclopedia.com: http://www.encyclopedia.com/environment/encyclopediasalmanacstranscriptsandmaps/commutativelaw
commutative law
commutative law See commutative operation.
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"commutative law." A Dictionary of Computing. . Encyclopedia.com. 27 May. 2017 <http://www.encyclopedia.com>.
"commutative law." A Dictionary of Computing. . Encyclopedia.com. (May 27, 2017). http://www.encyclopedia.com/computing/dictionariesthesaurusespicturesandpressreleases/commutativelaw
"commutative law." A Dictionary of Computing. . Retrieved May 27, 2017 from Encyclopedia.com: http://www.encyclopedia.com/computing/dictionariesthesaurusespicturesandpressreleases/commutativelaw