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 a number is the number that, when added to , yields zero. This number is also known as the opposite (number), sign change, and negation. For a real number, it reverses its sign: the additive inverse (opp ...
(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\t ...
, 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\t ...
, a function that "reverses" another function
**
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 rat ...
(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)
A power inverter is a device that converts direct current to alternating current.
Inverter may also refer to
* Inverter (logic gate) or NOT gate, a device that performs a logical operation
* Inverter air conditioner, a type of air conditioner ...
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Opposite (disambiguation)
Opposite or Opposites may refer to:
* Opposite (semantics), a word that means the reverse of a word
* Opposite (leaf), an arrangement of leaves on a stem
* Opposite (mathematics), the negative of a number; numbers that, when added, yield zero
*"Th ...
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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)
A complement is something that completes something else.
Complement may refer specifically to:
The arts
* Complement (music), an interval that, when added to another, spans an octave
** Aggregate complementation, the separation of pitch-class ...
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