Inverse (mathematics)
From Wikipedia, the free encyclopedia
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 in a binary operation with identity element e is x−1 so that x * x−1 = x−1 * x = e
- Inversion in a point — a geometric transform
- Circle inversion — maps the outside of a circle to the inside and vice-versa
- Inverse function — a function that "reverses" the action of a given function
- Inverse limit — notion in abstract algebra.
- Inverse (logic) — ~p → ~q is the inverse of p → q
- Inverse matrix — inverse element with respect to matrix multiplication
- Inverse proportion, also inversely proportional — a relationship between two variables x and y characterized by the equation <math>y=k/x.</math>
- Inverse problem — the task of identifying model parameters from observed data; see for example inverse scattering, inverse kinematics, inverse dynamics
- Inverse perspective — the further the objects, the larger they are drawn
- 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 differentiationda:Invers (matematik)
