inverse

Etymology
Recorded since 1440, from, the past participle of , itself from +.

Adjective



 * 1) Opposite in effect, 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.
 * 5)  That has the property of being an inverse (the result of a circle inversion of a given point or geometrical figure); that is constructed by circle inversion.
 * 6)  Whose every element has an inverse (morphism which is both a left inverse and a right inverse).
 * 1)  Whose every element has an inverse (morphism which is both a left inverse and a right inverse).
 * 1)  Whose every element has an inverse (morphism which is both a left inverse and a right inverse).

Translations

 * Bulgarian:
 * Catalan:
 * Chinese:
 * Mandarin:
 * Czech: inverzní
 * Dutch: ,
 * Finnish:
 * French:
 * German:
 * Spanish:


 * Azerbaijani:
 * Bulgarian:
 * Catalan:
 * Chinese:
 * Mandarin:
 * Dutch:
 * Esperanto: inversa
 * Finnish: ,
 * French:
 * German:


 * Azerbaijani:
 * Bulgarian:
 * Catalan:
 * Chinese:
 * Mandarin:
 * Dutch:
 * Finnish: käänteis-,
 * Spanish:
 * Swedish:


 * Esperanto:
 * French:
 * Japanese:

Noun

 * 1) An inverted state: a state in which something has been turned  upside down or  inside out or backwards.
 * Cowgirl is the inverse of missionary.
 * 321 is the inverse of 123.
 * 1) The result of an inversion, particularly:
 * 2) The reverse of any procedure or process.
 * Uninstalling is the inverse of installation.
 * 1)  A ratio etc. in which the antecedents and consequents are switched.
 * The inverse of a:b is b:a.
 * 1)  The result of a circle inversion; the set of all such points; the curve described by such a set.
 * The inverse P‘ of a point P is the point on a ray from the center O through P such that OP × OP‘ = r² or the set of all such points.
 * 1)  The non-truth-preserving proposition constructed by negating both the premise and conclusion of an initially given proposition.
 * "Anything that isn't a dog doesn't go to heaven" is the inverse of "All dogs go to heaven." More generally, $$\lnot\mathsf{p}\to\lnot\mathsf{q}$$ is the inverse of $$\mathsf{p}\to\mathsf{q}$$ and is equivalent to the converse proposition $$\mathsf{q}\to\mathsf{p}$$.
 * 1)  A second element which negates a first; in a binary operation, the element for which the binary operation—when applied to both it and an initially given element—yields the operation's identity element, specifically:
 * 2)  The negative of a given number.
 * The additive inverse of $$x$$ is $$-x$$, as $$x-x=0$$, as $$0$$ is the additive identity element.
 * 1)  One divided by a given number.
 * The multiplicative inverse of $$x$$ is $$x^{-1}$$, as $$x \times x^{-1}=1$$, as $$1$$ the multiplicative identity element.
 * 1)  A second function which, when combined with the initially given function, yields as its output any term inputted into the first function.
 * The compositional inverse of a function $$f$$ is $$f^{-1}$$, as $$f\ f^{-1}=\mathit{I}$$, as $$\mathit{I}$$ is the identity function. That is, $$\forall x,f(f^{-1}(x))=\mathit{I}(x)=x$$.
 * 1)  A morphism which is both a left inverse and a right inverse.
 * 2)  The winning of the coup in a game of rouge et noir by a card of a color different from that first dealt; the area of the table reserved for bets upon such an outcome.
 * 3)  A grammatical number marking that indicates the opposite grammatical number (or numbers) of the default number specification of noun class.
 * 1)  A grammatical number marking that indicates the opposite grammatical number (or numbers) of the default number specification of noun class.
 * 1)  A grammatical number marking that indicates the opposite grammatical number (or numbers) of the default number specification of noun class.
 * 1)  A grammatical number marking that indicates the opposite grammatical number (or numbers) of the default number specification of noun class.

Synonyms

 * inverse
 * inverse
 * inverse
 * inverse, inverse

Translations

 * Bulgarian:
 * Dutch:, ,
 * Finnish:


 * Bulgarian:
 * Dutch: ,
 * Finnish: käänteinen toimenpide
 * Trió: da


 * Bulgarian: реципрочно число
 * Chinese:
 * Mandarin:
 * Dutch:
 * Finnish:
 * Hindi:


 * Chinese:
 * Mandarin: 否命题
 * Finnish: vastakkainen lause, vastakkainen väittämä
 * Korean:


 * French: ,
 * Japanese:
 * Swedish:

Verb

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

Noun

 * 1) inverse

Etymology 1
From.

Adjective

 * , the other way round

Noun

 * 1) the, the contrary