# Subverse vs. Inverse

## Difference Between Subverse and Inverse

#### Subverseverb

(obsolete) To subvert.

#### Inverseadjective

Opposite in effect, nature or order.

#### Inverseadjective

Reverse, opposite in order.

#### Inverseadjective

(botany) Inverted; having a position or mode of attachment the reverse of that which is usual.

#### Inverseadjective

(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.*

#### Inverseadjective

(geometry) 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.

*A circle inversion maps a given generalized circle to its inverse generalized circle.*

#### Inverseadjective

Whose every element has an inverse (morphism which is both a left inverse and a right inverse).

#### Inversenoun

An inverted state: a state in which something has been turned (properly) upside down or (loosely) inside out or backwards.

*Cowgirl is the inverse of missionary.*

*321 is the inverse of 123.*

#### Inversenoun

The result of an inversion, particularly:

#### Inversenoun

The reverse of any procedure or process.

*Uninstalling is the inverse of installation.*

#### Inversenoun

(mathematics) A ratio etc. in which the antecedents and consequents are switched.

*The inverse of a:b is b:a.*

#### Inversenoun

(geometry) 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.*

#### Inversenoun

(logic) 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, $\backslash lnot\backslash mathsf\{p\}\backslash to\backslash lnot\backslash mathsf\{q\}$ is the inverse of $\backslash mathsf\{p\}\backslash to\backslash mathsf\{q\}$ and is equivalent to the converse proposition $\backslash mathsf\{q\}\backslash to\backslash mathsf\{p\}$.*

#### Inversenoun

(mathematics) 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:

#### Inversenoun

(addition) The negative of a given number.

*The additive inverse of $x$ is $-x$, as $x-x=0$, as $0$ is the additive identity element.*

#### Inversenoun

(multiplication) One divided by a given number.

*The multiplicative inverse of $x$ is $x^\{-1\}$, as $x\; \backslash times\; x^\{-1\}=1$, as $1$ the multiplicative identity element.*

#### Inversenoun

(functions) 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 $f\backslash \; f^\{-1\}=\backslash mathit\{I\}$, as $\backslash mathit\{I\}$ is the identity function. That is, $\backslash forall\; x,f(f^\{-1\}(x))=\backslash mathit\{I\}(x)=x$.*

#### Inversenoun

(category theory) A morphism which is both a left inverse and a right inverse.

#### Inversenoun

(card games) 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.

#### Inversenoun

A grammatical number marking that indicates the opposite grammatical number (or numbers) of the default number specification of noun class.

#### Inverseverb

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

#### Inversenoun

something inverted in sequence or character or effect;

*when the direct approach failed he tried the inverse*

#### Inverseadjective

reversed (turned backward) in order or nature or effect

#### Inverseadjective

opposite in nature or effect or relation to another quantity ;

*a term is in inverse proportion to another term if it increases (or decreases) as the other decreases (or increases)*