INVERSE

Inverse

In many contexts in mathematics the term inverse indicates the opposite of something. This word and its derivatives are used widely in mathematics, as illustrated below.

The above text is a snippet from Wikipedia: Inverse (mathematics)

inverse

Noun

1. The opposite of a given, due to contrary nature or effect.
''Deposing is the opposite of installing, and vice versa
2. The reverse version of a procedure.
Removing one's shoes is the inverse of putting one's shoes on
3. The inverse of an element x with respect to a binary operation is an element that when combined with x yields the appropriate identity element.
The additive inverse of x is -x as, x + -x = 0 where 0 is the additive identity element.
The multiplicative inverse of x is x-1 as, x * x-1 = 1 where 1 is the multiplicative identity element.
''The compositional inverse of a function f is f–1 as, f f–1 is the identity function (ie f–1(f(a)) = a for all a).
4. A statement constructed from the negatives of the premise and conclusion of some other statement: ~p → ~q is the inverse of p → q.

Verb

1. To compute the bearing and distance between two points.

1. Opposite in effect or nature or order
2. reverse, opposite in order
3. Inverted; having a position or mode of attachment the reverse of that which is usual.
4. Having the properties of an inverse; said with reference to any two operations, which, when both are performed in succession upon any quantity, reproduce that quantity.
Multiplication is the inverse operation to division.
5. A grammatical number marking that indicates the opposite grammatical number (or numbers) of the default number specification of noun class.

The above text is a snippet from Wiktionary: inverse