## DUALITY

### Duality

In mathematics, a**duality**, generally speaking, translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one-to-one fashion, often by means of an involution operation: if the dual of

*A*is

*B*, then the dual of

*B*is

*A*. Such involutions sometimes have fixed points, so that the dual of

*A*is

*A*itself. For example, Desargues' theorem in projective geometry is self-dual in this sense.

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### duality

#### Noun

- A classification into two subclasses or opposed parts.
- The interchangeability of points and planes.
- The mathematical equivalence of two seemingly different theoretical descriptions of a physical system.

*The above text is a snippet from Wiktionary: duality*

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and as such is available under the Creative Commons Attribution/Share-Alike License.