inverse
in·verse
adjective
- 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.
inverse
- 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 inverse
Classical Latin inversus, past participle of invertere- any inverse thing; direct opposite
- Math.
- the result of an inversion
- the result obtained after dividing 1 by the given number; reciprocal: the inverse of x is 1/x
inverse
adjective
- Reversed in order, nature, or effect.
- Mathematics Of or relating to an inverse or an inverse function.
- Archaic Turned upside down; inverted.
noun
- 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 inverse
Middle English from Latin inversus past participle of invertere to invert ; see invert .Related Forms:
- in·verse′ly
adverb
inverse
Adjective
(not comparable)
- 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.
Noun
(plural inverses)
- 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.
Verb
(third-person singular simple present inverses, present participle inversing, simple past and past participle inversed)
Anagrams
Origin
Recorded since 1440, from Latin inversus, the past participle of invertere 'to invert', itself from in- 'in, on' + vertere 'to turn'