The first recorded use of the term " commutative " was in a memoir by Fran�ois Servois in 1814, which used the word " commutatives " when describing functions that have what is now called the commutative property.
22.
:What did YOUR series of reactions say about the relationship between Z and Y; and by the commutative property, what does that say about the relationship between Z and X ? ( that is, how does Z-X compare to Y-X ).
23.
In the article above, there is an example of the commutativity of polynomials ( 2 ) and while it states that it may be obvious that ( 3 + 5 ) = ( 7 + 5 ) for the commutative property, obviously that is an incorrect example.
24.
In mathematical theory, assumptions about the properties of binary operators ( for example the associative property and the commutative property ) are often used as axioms in fields of study such as number theory and also two sub-disciplines of abstract algebra, group theory and ring theory.
25.
These are the commutative property, the associative property, the identity property ( 2 is the exponentiative identity for commutative exponentiation, ) the special-value property ( for addition; this number is-\ infty; for multiplication it is 0; for commutative exponentiation it is 1 ); and the inverse property ( the exponentiative inverse of a is the number b for which commexp ( a, b ) = 2.
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