Meaning & use

inverse

adjective, noun·Academic

Last updated

UK/ˈɪnvɜːs/
US/ɪnˈvɝːs/

Meanings

  1. adjectivebefore a noun

    Opposite in direction, order or effect, so that one thing rises as another falls.

    Grammar: Usually before a noun: an inverse relationship.

    Patterns

    • in inverse proportion to something
    • inverse relationship between X and Y

    There is an inverse relationship between price and demand.

    Speed and travel time are in inverse proportion on a fixed route.

    The inverse order of the list puts the newest item first.

  2. nounsingular

    Something that is exactly the opposite of another thing.

    Grammar: Usually used with the: the inverse of the statement.

    Patterns

    • the inverse of something

    Subtraction is the inverse of addition.

    Her mood was the inverse of his: she was calm while he panicked.

    The result was the inverse of what we expected.

  3. nouncountablemathematics

    In mathematics, a number or function that cancels another when the two are combined.

    Grammar: Takes of: the inverse of a matrix; usually countable in math.

    Patterns

    • the inverse of a function

    The additive inverse of 5 is negative 5.

    Square roots are found with the inverse of squaring.

    A matrix multiplied by its inverse gives the identity matrix.

Word forms

pluralinverses

Common combinations

inverse relationship
Study shows an inverse relationship between sleep and stress.
inverse proportion
Pressure and volume change in inverse proportion.
inverse function
The square root is the inverse function of squaring.
the inverse is true
If it is true for one case, the inverse is also true here.
inverse correlation
The data show an inverse correlation between age and speed.

Synonyms and how they differ

opposite
Opposite is the everyday word, while inverse is more precise and often suggests a reversal in a mathematical or logical pattern.
reverse
Reverse means turned around or backward, whereas inverse stresses a matching opposing relationship.
converse
Converse is used in logic for a swapped statement, which is different from the full opposite that inverse means.

Opposites

Word family

invert verb
to turn upside down or reverse
inversion noun
the act of reversing or turning over
inversely adverb
in an opposite way or proportion
invertible adjective
able to be inverted

Commonly confused: inverse or reverse?

inverse vs reverse

Reverse is the general word for backward or opposite movement. Inverse is used when two things are linked as opposites, such as in math or logic.

Practice

As the number of workers on a job rises, the time to finish falls. This is an ___ relationship.

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