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The term "invariant" may apply to any of the following:
  1. Something that stays the same when a particular transformation is carried out.

  2. A value that is unchanged when a particular function is applied.

  3. In topology, a number, polynomial, or other quantity associated to a topological object such as a knot or 3-manifold, which depends only on the underlying object and not on its specific description or presentation.

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