  # Subverse vs. Inverse: What's the Difference? ## Subverse and Inverse Definitions

#### Subverse

(obsolete) To subvert.

#### Inverse

Reversed in order, nature, or effect.

To subvert.

#### Inverse

(Mathematics) Of or relating to an inverse or an inverse function.

#### Inverse

(Archaic) Turned upside down; inverted.

#### Inverse

Something that is opposite, as in sequence or character; the reverse.

#### Inverse

The reciprocal of a designated quantity. Also called multiplicative inverse.

#### Inverse

The negative of a designated quantity. Also called additive inverse.

#### Inverse

Opposite in effect, nature or order.

#### Inverse

Reverse, opposite in order.

#### Inverse

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

#### Inverse

(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.

#### Inverse

(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. Category:en:Curves
A circle inversion maps a given generalized circle to its inverse generalized circle.

#### Inverse

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

#### Inverse

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.

#### Inverse

The result of an inversion, particularly:

#### Inverse

The reverse of any procedure or process.
Uninstalling is the inverse of installation.

#### Inverse

(mathematics) A ratio etc. in which the antecedents and consequents are switched.
The inverse of a:b is b:a.

#### Inverse

(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.

#### Inverse

(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 $\mathsf\left\{q\right\}\to\mathsf\left\{p\right\}$.

#### Inverse

(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:

#### Inverse

(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.

#### Inverse

(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.

#### Inverse

(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, $\forall x,f\left(f^\left\{-1\right\}\left(x\right)\right)=\mathit\left\{I\right\}\left(x\right)=x$.

#### Inverse

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

#### Inverse

(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.

#### Inverse

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

#### Inverse

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

#### Inverse

Opposite in order, relation, or effect; reversed; inverted; reciprocal; - opposed to direct.

#### Inverse

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

#### Inverse

Opposite in nature and effect; - said with reference to any two operations, which, when both are performed in succession upon any quantity, reproduce that quantity; as, multiplication is the inverse operation to division. The symbol of an inverse operation is the symbol of the direct operation with -1 as an index. Thus sin-1 x means the arc or angle whose sine is x.

#### Inverse

That which is inverse.
Thus the course of human study is the inverse of the course of things in nature.

#### Inverse

Something inverted in sequence or character or effect;
When the direct approach failed he tried the inverse

#### Inverse

Reversed (turned backward) in order or nature or effect

#### Inverse

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)