Difference between revisions of "Addition"
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| − | '''Addition''' is the name given to the [[mathematical]] [[function]] which involves the combination of two values, resulting in a directly related linear increase. The sum a + b can be interpreted as a [[binary]] operation that combines a and b, in an algebraic sense, or it can be interpreted as the addition of c more units to b. Under the latter interpretation, the parts of a sum c + a play [[symmetric]] roles, and the operation a + c is viewed as applying the [[unary]] operation +b to a. Instead of calling both a and b [[addend]]s, it is more appropriate to call a the augend in this case, since a plays a passive role. The unary view is also useful when discussing [[subtraction]], because each unary addition operation has an [[inverse operations|inverse]] unary subtraction operation and vice versa. | + | '''Addition''' is the name given to the [[mathematical]] [[function]] which involves the combination of two values, resulting in a directly related linear increase. The sum ''a + b'' can be interpreted as a [[binary]] operation that combines ''a'' and ''b'', in an algebraic sense, or it can be interpreted as the addition of ''c'' more units to ''b''. Under the latter interpretation, the parts of a sum ''c + a'' play [[symmetric]] roles, and the operation ''a + c'' is viewed as applying the [[unary]] operation ''+b'' to ''a''. Instead of calling both ''a'' and ''b'' [[addend]]s, it is more appropriate to call a the augend in this case, since a plays a passive role. The unary view is also useful when discussing [[subtraction]], because each unary addition operation has an [[inverse operations|inverse]] unary subtraction operation and vice versa. |
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Revision as of 03:01, October 18, 2008
Addition is the name given to the mathematical function which involves the combination of two values, resulting in a directly related linear increase. The sum a + b can be interpreted as a binary operation that combines a and b, in an algebraic sense, or it can be interpreted as the addition of c more units to b. Under the latter interpretation, the parts of a sum c + a play symmetric roles, and the operation a + c is viewed as applying the unary operation +b to a. Instead of calling both a and b addends, it is more appropriate to call a the augend in this case, since a plays a passive role. The unary view is also useful when discussing subtraction, because each unary addition operation has an inverse unary subtraction operation and vice versa.