# inverse

[adjective, noun in-vurs, in-vurs; verb in-vurs]

- reversed in position, order, direction, or tendency.
- Mathematics.
- (of a proportion) containing terms of which an increase in one results in a decrease in another. A term is said to be in inverse proportion to another term if it increases (or decreases) as the other decreases (or increases).
- of or relating to an inverse function.Compare direct(def 16).

- inverted; turned upside down.

- an inverted state or condition.
- something that is inverse; the direct opposite.
- Mathematics.
- an element of an algebraic system, as a group, corresponding to a given element such that its product or sum with the given element is the identity element.
- inverse function.
- a point related to a given point so that it is situated on the same radius, extended if necessary, of a given circle or sphere and so that the product of the distances of the two points from the center equals the square of the radius of the circle or sphere.
- the set of such inverses of the points of a given set, as the points on a curve.

- to invert.

## Origin of inverse^{}

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

# inverse

- opposite or contrary in effect, sequence, direction, etc
- maths
- (of a relationship) containing two variables such that an increase in one results in a decrease in the otherthe volume of a gas is in inverse ratio to its pressure
- (of an element) operating on a specified member of a set to produce the identity of the set: the additive inverse element of x is –x, the multiplicative inverse element of x is 1/x

- (usually prenominal) upside-down; invertedin an inverse position

- maths
- another name for reciprocal (def. 7)
- an inverse element

- logic a categorial proposition derived from another by changing both the proposition and its subject from affirmative to negative, or vice versa, as all immortals are angels from no mortals are angels

## Word Origin

C17: from Latin inversus, from invertere to invert

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## Word Origin and History for inversing

# inverse

### adj.

mid-15c., from Latin inversus, past participle of invertere (see invert). Related: Inversely. As a noun, 1680s, from the adjective.

Online Etymology Dictionary, © 2010 Douglas Harper

# inverse

- Relating to a mathematical operation whose nature or effect is the opposite of another operation. For example, addition and subtraction are inverse operations, as are multiplication and division.

- An inverse operation. Subtraction is the inverse of addition.
- Either of a pair of elements in a set whose result under the mathematical operation of the set is the identity element. For example, the inverse of 5 under multiplication is 15, since 5 X 15 = 1, the identity element under multiplication. The inverse of 5 under addition is -5, since 5 + -5 = 0.

The American Heritage® Science Dictionary
Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.