Inverse or invert may refer to:
Science and mathematics
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Inverse (logic) In logic, an inverse is a type of conditional sentence which is an immediate inference made from another conditional sentence. More specifically, given a conditional sentence of the form P \rightarrow Q , the inverse refers to the sentence \neg P \ ...
, a type of conditional sentence which is an immediate inference made from another conditional sentence
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Additive inverse
In mathematics, the additive inverse of an element , denoted , is the element that when added to , yields the additive identity, 0 (zero). In the most familiar cases, this is the number 0, but it can also refer to a more generalized zero el ...
, the inverse of a number that, when added to the original number, yields zero
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Compositional inverse
In mathematics, the inverse function of a function (also called the inverse of ) is a function that undoes the operation of . The inverse of exists if and only if is bijective, and if it exists, is denoted by f^ .
For a function f\colon X ...
, a function that "reverses" another function
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Inverse element
In mathematics, the concept of an inverse element generalises the concepts of opposite () and reciprocal () of numbers.
Given an operation denoted here , and an identity element denoted , if , one says that is a left inverse of , and that ...
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Inverse function
In mathematics, the inverse function of a function (also called the inverse of ) is a function that undoes the operation of . The inverse of exists if and only if is bijective, and if it exists, is denoted by f^ .
For a function f\colon ...
, a function that "reverses" another function
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Generalized inverse
In mathematics, and in particular, algebra, a generalized inverse (or, g-inverse) of an element ''x'' is an element ''y'' that has some properties of an inverse element but not necessarily all of them. The purpose of constructing a generalized inv ...
, a matrix that has some properties of the inverse matrix but not necessarily all of them
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Multiplicative inverse
In mathematics, a multiplicative inverse or reciprocal for a number ''x'', denoted by 1/''x'' or ''x''−1, is a number which when Multiplication, multiplied by ''x'' yields the multiplicative identity, 1. The multiplicative inverse of a ra ...
(reciprocal), a number which when multiplied by a given number yields the multiplicative identity, 1
** Inverse matrix of an
Invertible matrix
In linear algebra, an invertible matrix (''non-singular'', ''non-degenarate'' or ''regular'') is a square matrix that has an inverse. In other words, if some other matrix is multiplied by the invertible matrix, the result can be multiplied by a ...
Other uses
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Invert level
In civil engineering, the invert level is the base interior level of a pipe, trench or tunnel; it can be considered the "floor" level. The invert is an important datum for determining the functioning or flowline of a piping system. For example, th ...
, the base interior level of a pipe, trench or tunnel
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''Inverse'' (website), an online magazine
* An outdated term for an LGBT person; see
Sexual inversion (sexology)
Sexual inversion is a theory of homosexuality popular primarily in the late 19th and early 20th century. Sexual inversion was believed to be an inborn reversal of gender traits: male inverts were, to a greater or lesser degree, inclined to tradit ...
See also
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Inversion (disambiguation)
Inversion or inversions may refer to:
Arts
* ''Inversion'' (artwork), a 2005 temporary sculpture in Houston, Texas
* Inversion (music), a term with various meanings in music theory and musical set theory
* ''Inversions'' (novel) by Iain M. Ban ...
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Inverter (disambiguation)
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Opposite (disambiguation)
Opposite, in semantics, is a word that means the reverse of a word
Opposite or opposites may also refer to:
Music
* The Opposites, Dutch rap group
* ''Opposites'' (album), by Biffy Clyro, 2013
** "Opposite" (song), 2013
* ''Opposites'', a 20 ...
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Reverse (disambiguation) Reverse or reversing may refer to:
Arts and media
* ''Reverse'' (Eldritch album), 2001
* ''Reverse'' (2009 film), a Polish comedy-drama film
* ''Reverse'' (2019 film), an Iranian crime-drama film
* ''Reverse'' (Morandi album), 2005
* ''Reverse'' ...
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Complement (disambiguation)
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