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- Classification_theorem abstract "In mathematics, a classification theorem answers the classification problem "What are the objects of a given type, up to some equivalence?". It gives a non-redundant enumeration: each object is equivalent to exactly one class.A few related issues to classification are the following.The equivalence problem is "given two objects, determine if they are equivalent".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 a distinguished (canonical) element of each class.There exist many classification theorems in mathematics, as described below.".
- Classification_theorem wikiPageID "4576710".
- Classification_theorem wikiPageRevisionID "599474128".
- Classification_theorem hasPhotoCollection Classification_theorem.
- Classification_theorem subject Category:Mathematical_theorems.
- Classification_theorem type Abstraction100002137.
- Classification_theorem type Communication100033020.
- Classification_theorem type MathematicalTheorems.
- Classification_theorem type Message106598915.
- Classification_theorem type Proposition106750804.
- Classification_theorem type Statement106722453.
- Classification_theorem type Theorem106752293.
- Classification_theorem comment "In mathematics, a classification theorem answers the classification problem "What are the objects of a given type, up to some equivalence?".".
- Classification_theorem label "Classification theorem".
- Classification_theorem sameAs m.02p8brp.
- Classification_theorem sameAs Q5128418.
- Classification_theorem sameAs Q5128418.
- Classification_theorem sameAs Classification_theorem.
- Classification_theorem wasDerivedFrom Classification_theorem?oldid=599474128.
- Classification_theorem isPrimaryTopicOf Classification_theorem.