- The definition of inverse is reverse or direct opposite.
An example of something inverse is the relationship between division and multiplication.
- An inverse is defined as a reverse or direct opposite, particularly in math.
An example of an inverse is 1/4 to 4.
- inverted; reversed in order or relation; directly opposite
- Math. designating or of an operation which, when applied after a specific operation, cancels it: subtraction is the inverse operation of addition
Origin of inverseClassical Latin inversus, past participle of invertere
- any inverse thing; direct opposite
- the result of an inversion
- the result obtained after dividing 1 by the given number; reciprocal: the inverse of x is 1/x
- Reversed in order, nature, or effect.
- Mathematics Of or relating to an inverse or an inverse function.
- Archaic Turned upside down; inverted.
- Something that is opposite, as in sequence or character; the reverse.
- Mathematics One of a pair of elements in a set whose result under the operation of the set is the identity element, especially:a. The reciprocal of a designated quantity. Also called multiplicative inverse .b. The negative of a designated quantity. Also called additive inverse .
Origin of inverseMiddle English from Latin inversus past participle of invertere to invert ; see invert .
- Opposite in effect or nature or order
- reverse, opposite in order
- (botany) Inverted; having a position or mode of attachment the reverse of that which is usual.
- (mathematics) 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.
- (linguistics, Kiowa-Tanoan) A grammatical number marking that indicates the opposite grammatical number (numbers) of the default number specification of noun class.
- (category theory) A morphism which is both a left inverse and a right inverse.
- The opposite of a given, due to contrary nature or effect.
- Deposing is the opposite of installing, and vice versa
- The reverse version of a procedure.
- Removing one's shoes is the inverse of putting one's shoes on
- (mathematics) 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).
- (logic) A statement constructed from the negatives of the premise and conclusion of some other statement: ~p → ~q is the inverse of p → q.
(third-person singular simple present inverses, present participle inversing, simple past and past participle inversed)
Recorded since 1440, from Latin inversus, the past participle of invertere 'to invert', itself from in- 'in, on' + vertere 'to turn'