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What is a duality?

What is a duality? Here are some definitions.

Noun
  1. A classification into two subclasses or opposed parts.
  2. (projective geometry) The interchangeability of points and planes.
  3. (mathematics) The mathematical equivalence of two seemingly different theoretical descriptions of a physical system.
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Examples
Despite her good deeds, this wizened enchantress's sinister duality surfaces when she senses the threat of a changeling among the Quinn clan.
It is this group which specifically prefers Alberta locations, thus reinforcing the duality and solidifying the philosophical divide.
Wine and life-giving waters were on equal footing in Egyptian culture, and they also shared a duality in both myth and in fact.
His development of the pole and polar lines associated with conics led to the principle of duality.
It is a duality that only the most mushyheaded of his admirers can blissfully ignore.
The film is about a good guy going bad and depicts the essential duality of human nature that oscillates between good and evil.

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