From Wikipedia, the free encyclopedia
In many contexts in mathematics the term inverse indicates the opposite of something. This word and its derivatives are used widely 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,
- 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
- 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.
- Inverse semigroup
- Inverse of an element in a semigroup
- Inverse-square law — the magnitude of a force is proportional to the inverse square of the distance.
- Inverse transform sampling — 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
- Inverse Fourier transform
- Inversion transformation, an extension of Poincaré transformation.
- In set theory, the inverse of a set is called Complement (set theory).