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Line 7: A [[complete set of invariants]], together with which invariants are realizable, solves the classification problem, and is often a step in solving it. A computable [[complete set of invariants]] (together with which invariants are realizable) solves both the classification problem and the equivalence problem. * A [[canonical form]] solves the classification problem, and is more data: it not only classifies every class, but ~~gives~~provides a distinguished (canonical) element of each class. There exist many '''classification theorems''' in [[mathematics]], as described below.

Classification theorem: Difference between revisions