Inverse (mathematics)
Inversion (or finding the inverse) is an idea from mathematics, which is about finding a number, function or mathematical structure which is different from the current one, but which has similar properties. The simplest case of this is negation: Given a positive number, find the negative number which has the same value, except for the sign.
Inversion can refer to the following concepts:
- The inverse element for addition or for multiplication.
- An inverse function
- Inverse (logic)
- The inversion of an Invertible matrix
- The Fourier inversion theorem states that sometimes, it is possible to reconstruct the original function, after a Fourier transform
- In Set theory, the complement will return all elements not in the set.
- Inversive geometry studies the properties of a shape that are preserved after geometrical inversion.