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complete set of invariants

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  1. In mathematics, a complete set of invariants for a classification problem is a collection of maps (where X is the collection of objects being classified, up to some equivalence relation, and the Y_i are some sets), such that x &sim

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 5, 2008
  2. x' if and only if f_i(x) = f_i(x') for all i

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 5, 2008
  3. In words, such that two objects are equivalent if and only if all invariants are equal

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 5, 2008
  4. Symbolically, a complete set of invariants is a collection of maps such that is injective

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 5, 2008
  5. together with which invariants are realizable

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 5, 2008
  6. solves both the classification problem and the isomorphism problem

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 5, 2008
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