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

The result of an inversion, such as the reverse of a procedure or process, a switched ratio in mathematics, a set of points resulting from a circle inversion in geometry, or a non-truth-preserving proposition in logic.

A second element that negates a first element in a binary operation, the negative of a given number in addition, one divided by a given number in multiplication, or a second function that, when combined with the initially given function, yields any term inputted into the first function.

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

(linguistics, Kiowa-Tanoan) A grammatical number marking that indicates the opposite grammatical number (or numbers) of the default number specification of noun class.

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

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.

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