What does invertible mean?

Definitions for invertible
in·vert·ible

This dictionary definitions page includes all the possible meanings, example usage and translations of the word invertible.

Princeton's WordNet

  1. invertibleadjective

    having an additive or multiplicative inverse

Wiktionary

  1. invertibleadjective

    Which has an inverse.

Wikipedia

  1. invertible

    In mathematics, the concept of an inverse element generalises the concepts of opposite (−x) and reciprocal (1/x) of numbers. Given an operation denoted here ∗, and an identity element denoted e, if x ∗ y = e, one says that x is a left inverse of y, and that y is a right inverse of x. (An identity element is an element such that x * e = x and e * y = y for all x and y for which the left-hand sides are defined.) When the operation ∗ is associative, if an element x has both a left inverse and a right inverse, then these two inverses are equal and unique; they are called the inverse element or simply the inverse. Often an adjective is added for specifying the operation, such as in additive inverse, multiplicative inverse, and functional inverse. In this case (associative operation), an invertible element is an element that has an inverse. Inverses are commonly used in groups—where every element is invertible, and rings—where invertible elements are also called units. They are also commonly used for operations that are not defined for all possible operands, such as inverse matrices and inverse functions. This has been generalized to category theory, where, by definition, an isomorphism is an invertible morphism. The word 'inverse' is derived from Latin: inversus that means 'turned upside down', 'overturned'. This may take its origin from the case of fractions, where the (multiplicative) inverse is obtained by exchanging the numerator and the denominator (the inverse of x y {\displaystyle {\tfrac {x}{y}}} is y x {\displaystyle {\tfrac {y}{x}}} ).

Webster Dictionary

  1. Invertibleadjective

    capable of being inverted or turned

  2. Invertibleadjective

    capable of being changed or converted; as, invertible sugar

  3. Invertibleadjective

    incapable of being turned or changed

  4. Etymology: [Pref. in- not + L. vertere to turn + -ible.]

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Numerology

  1. Chaldean Numerology

    The numerical value of invertible in Chaldean Numerology is: 7

  2. Pythagorean Numerology

    The numerical value of invertible in Pythagorean Numerology is: 8

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invertible#10000#61661#100000

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"invertible." Definitions.net. STANDS4 LLC, 2024. Web. 5 May 2024. <https://www.definitions.net/definition/invertible>.

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