Inverse



[adjective, noun in-vurs, in-vurs; verb in-vurs] /adjective, noun ɪnˈvɜrs, ˈɪn vɜrs; verb ɪnˈvɜrs/

adjective
1.
reversed in position, order, direction, or tendency.
2.
Mathematics.

3.
inverted; turned upside down.
noun
4.
an inverted state or condition.
5.
something that is inverse; the direct opposite.
6.
Mathematics.

verb (used with object), inversed, inversing.
7.
to .
/ɪnˈvɜːs; ˈɪnvɜːs/
adjective
1.
opposite or contrary in effect, sequence, direction, etc
2.
(maths)

3.
(usually prenominal) upside-down; inverted: in an inverse position
noun
4.
(maths)

5.
(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
adj.

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

Noun (ĭn’vûrs’)

mathematics
Given a function, f : D -> C, a function g : C -> D is called a left inverse for f if for all d in D, g (f d) = d and a right inverse if, for all c in C, f (g c) = c and an inverse if both conditions hold. Only an injection has a left inverse, only a surjection has a right inverse and only a bijection has inverses. The inverse of f is often written as f with a -1 superscript.
(1996-03-12)

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