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

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


The above text is a snippet from Wiktionary: duality
and as such is available under the Creative Commons Attribution/Share-Alike License.

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