PlanetMath: difference

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difference

(Definition)

The difference of two numbers and is a number such that

$\displaystyle b\!+\!d = a.$

The difference of

(the minuend) and

(the subtrahend) is denoted by $a\!-\!b$ .

The definition is similar for the elements $a,\,b$ of any additive Abelian group (e.g. of a vector space).The difference of them is always unique.

Some identities

"difference" is owned by pahio.

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Also defines:

minuend, subtrahend

This object's parent.

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Cross-references: vector space, abelian group, numbers
There are 159 references to this entry.

This is version 9 of difference, born on 2007-09-27, modified 2008-02-09.
Object id is 9966, canonical name is Difference2.
Accessed 1656 times total.

Classification:

AMS MSC:	11B25 (Number theory :: Sequences and sets :: Arithmetic progressions)
	00A05 (General :: General and miscellaneous specific topics :: General mathematics)
	20K99 (Group theory and generalizations :: Abelian groups :: Miscellaneous)

Pending Errata and Addenda

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