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Inverse is the opposite of something. This word and its derivatives are used greatly in mathematics, as illustrated below.
- Inverse element of an element x with respect to a binary operation * with identity element e is an element y such that x * y = y * x = e. In particular,
- the additive inverse of x is –x;
- the multiplicative inverse of x is x–1.
- Inverse function — inverse element with respect to function composition: a function that "reverses" the action of a given function: f–1(f(x)) = x.
- Inversion in a point — a geometric transform.
- Circle inversion — another particular geometric transformation of a plane that maps the outside of a circle to the inside and vice-versa.
- Inverse limit — a notion in abstract algebra.
- Inverse (logic) — ~p → ~q is the inverse of p → q.
- Inverse matrix — inverse element with respect to matrix multiplication.
- Pseudoinverse, a generalization of the inverse matrix.
- Inverse proportion, also inversely proportional — a relationship between two variables x and y characterized by the equation y = k / x.
- Inverse problem — the task of identifying model parameters from observed data; see for example
- Inverse perspective — the further the objects, the larger they are drawn.
- Inversive ring geometry — classical projective geometry extended by ring theory
- Inverse-square law — the magnitude of a force is proportional to the inverse square of the distance.
- Inverse transform sampling method — generate some random numbers according to a given probability distribution.
- Inverse chain rule method — related to integration and differentiation.
- Inversion of elements, a pair of adjacent out-of-order elements of a permutation (viewed as a list).
- Inverse relation
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This disambiguation page lists mathematics articles associated with the same title. If an internal link led you here, you may wish to change the link to point directly to the intended article. |