# Subverse vs. Inverse

## Difference Between Subverse and Inverse

#### Subverseverb

(obsolete) To subvert.

Opposite in effect, 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.

(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.

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, $\lnot\mathsf\left\{p\right\}\to\lnot\mathsf\left\{q\right\}$ is the inverse of $\mathsf\left\{p\right\}\to\mathsf\left\{q\right\}$ and is equivalent to the converse proposition $\mathsf\left\{q\right\}\to\mathsf\left\{p\right\}$.

#### 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 $x^\left\{-1\right\}$, as $x \times x^\left\{-1\right\}=1$, 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 $f^\left\{-1\right\}$, as $f\ f^\left\{-1\right\}=\mathit\left\{I\right\}$, as $\mathit\left\{I\right\}$ is the identity function. That is, $\forall x,f\left(f^\left\{-1\right\}\left(x\right)\right)=\mathit\left\{I\right\}\left(x\right)=x$.

#### 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

reversed (turned backward) in order or nature or effect

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)