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 (negation), 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 is ...
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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 X ...
, 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 in ...
, 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 multiplied by ''x'' yields the multiplicative identity, 1. The multiplicative inverse of a fraction ''a''/ ...
(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 -by- square matrix is called invertible (also nonsingular or nondegenerate), if there exists an -by- square matrix such that
:\mathbf = \mathbf = \mathbf_n \
where denotes the -by- identity matrix and the multiplicati ...
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
A tunnel is an underground passageway, dug through surrounding soil, earth or rock, and enclosed except for the entrance and exit, commonly at ...
, 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 trad ...
See also
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Inversion (disambiguation)
Inversion or inversions may refer to:
Arts
* , a French gay magazine (1924/1925)
* ''Inversion'' (artwork), a 2005 temporary sculpture in Houston, Texas
* Inversion (music), a term with various meanings in music theory and musical set theory
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Inverter (disambiguation)
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Opposite (disambiguation)
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Reverse (disambiguation)
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Complement (disambiguation)
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