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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 a duality that only the most mushyheaded of his admirers can blissfully ignore.
And this presents on screen the kind of duality of which Brecht was so fond on the stage.
It is this group which specifically prefers Alberta locations, thus reinforcing the duality and solidifying the philosophical divide.
The film is about a good guy going bad and depicts the essential duality of human nature that oscillates between good and evil.
Wine and life-giving waters were on equal footing in Egyptian culture, and they also shared a duality in both myth and in fact.

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