Last modified on 16 December 2014, at 13:44

# inverse

## EnglishEdit

### EtymologyEdit

Recorded since 1440, from Latin inversus, the past participle of invertere 'to invert', itself from in- 'in, on' + vertere 'to turn'

inverse (not comparable)

1. Opposite in effect or nature or order
2. reverse, opposite in order
3. (botany) Inverted; having a position or mode of attachment the reverse of that which is usual.
4. (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.
5. (linguistics, Kiowa-Tanoan) A grammatical number marking that indicates the opposite grammatical number (or numbers) of the default number specification of noun class.
6. (category theory) A morphism which is both a left inverse and a right inverse.

#### TranslationsEdit

The translations below need to be checked and inserted above into the appropriate translation tables, removing any numbers. Numbers do not necessarily match those in definitions. See instructions at Help:How to check translations.

### NounEdit

Wikipedia has an article on:

Wikipedia

inverse (plural inverses)

1. The opposite of a given, due to contrary nature or effect.
Deposing is the inverse 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. (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).
4. (logic) A statement constructed from the negatives of the premise and conclusion of some other statement: ~p → ~q is the inverse of p → q.

#### TranslationsEdit

The translations below need to be checked and inserted above into the appropriate translation tables, removing any numbers. Numbers do not necessarily match those in definitions. See instructions at Help:How to check translations.

### VerbEdit

inverse (third-person singular simple present inverses, present participle inversing, simple past and past participle inversed)

1. (surveying) To compute the bearing and distance between two points.

## DutchEdit

Dutch Wikipedia has an article on:

Wikipedia nl

### EtymologyEdit

Recorded since 1440, from Latin inversus, the past participle of invertere 'to invert', itself from in- 'in, on' + vertere 'to turn'

### PronunciationEdit

•  Audio Sorry, your browser either has JavaScript disabled or does not have any supported player. You can download the clip or download a player to play the clip in your browser. (file)
• Hyphenation: in‧ver

### NounEdit

inverse m, f (plural inversen)

inverse

## FrenchEdit

### PronunciationEdit

•  Audio Sorry, your browser either has JavaScript disabled or does not have any supported player. You can download the clip or download a player to play the clip in your browser. (file)

inverse (masculine and feminine, plural inverses)

1. inverse, the other way round.

### NounEdit

inverse m (plural inverses)

1. The inverse, the contrary

### VerbEdit

inverse

1. first-person singular present indicative of inverser
2. third-person singular present indicative of inverser
3. first-person singular present subjunctive of inverser
4. third-person singular present subjunctive of inverser
5. second-person singular imperative of inverser