# inverse

Line breaks: in|versePronunciation: /ˈɪnvəːs
, ɪnˈvəːs
/

## Definition of *inverse* in English:

### adjective

[ attributive]

1Opposite or contrary in position, direction, order, or effect:

*numerous studies have shown an inverse relationship between exercise and the risk of heart disease*
More example sentences

- The positive sign on this effect suggests that the inverse relationship between early support from the mother and adult depressive symptoms is less substantial among male respondents.
- In theory, at least, this creates a direct, inverse relationship between the unemployment rate and the inflation rate.
- A review of 20 international studies looking into the link between the use of the oral contraceptives and rates of bowel cancer found an inverse relationship.

**reverse**, reversed, inverted, opposite, converse, contrary, counter, antithetical, transposed, retroverted

1.1chiefly

*Mathematics*Produced from or related to something else by a process of inversion:*inverse logarithms*
More example sentences

- He made major contributions to the inverse problem of Galois theory as well as to class field theory, thereby solving some long outstanding conjectures.
- That is addition, multiplication and the two inverse operations of subtraction and division.
- The reconstructions of outlines corresponding to extreme individuals using the inverse Fourier transform are plotted on the PC1 - PC2 projection.

### noun

Back to top 1

*Something that is the opposite or reverse of something else:* [ usually in singular] *power is the inverse of dependence*
More example sentences

- Video has always articulated itself as the negative inverse of television, the conscience of television, as Avital Ronell once put it.
- Where many live albums sound more organic than their studio counterparts, the inverse is true here.
- You take a verb, put un at the beginning, and get as result another verb that expresses the opposite or inverse of the action the original verb expressed.

*informal*flip side, other side of the coin

2

*Mathematics*A reciprocal quantity, mathematical expression, geometric figure, etc. which is the result of inversion:*the age of such a universe is simply the inverse of the Hubble constant*
More example sentences

- Those two pairs of mathematical inverses yield scores that are reciprocals of each other.
- The coefficient on quantity exported represents the inverse of the residual demand elasticity, which is the main point of interest here.

2.1An element which, when combined with a given element in an operation, produces the identity element for that operation.

Example sentences

- Group theory studies not a single structure, but a type of structure, the pattern common to collections of objects with a binary operation, an identity element thereon, and inverses for each element.
- Existence of inverses there exist elements a and a ^ - 1 for every a such that a + = z and a x = e.
- If the cull is sufficiently small, this response is given by an element of the inverse of the Jacobian matrix.

### Origin

late Middle English: from Latin *inversus*, past participle of *invertere* (see invert^{1}).

### Derivatives

- 1
#### inversely

adverb - Example sentences
- With minor exceptions, film ratings appear to be inversely proportional to box office earnings.
- The dip of the slab is related inversely to the velocity of convergence at the trench, and is a function of the time since the initiation of subduction.
- Additional inclusion of regional effects showed that median income at the prefecture level was inversely related to self rated health.

## Definition of **inverse** in:

- US English dictionary
- English synonyms

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Pronunciation: prɪˈpəʊt(ə)nt

adjective

greater than others in power or influence