In mathematics, an automorphism is an isomorphism from a mathematical object to itself. It is, in some sense, a symmetry of the object, and a way of mapping the object to itself while preserving all of its structure. The set of all automorphisms of an object forms a group, called the automorphism group. It is, loosely speaking, the symmetry group ...
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ascription to others of one's own characteristics
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http://phrontistery.info/a.html
• (n.) Automorphic characterization.
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in mathematics, a correspondence that associates to every element in a set a unique element of the set (perhaps itself) and for which there is a ...
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http://www.britannica.com/eb/a-z/a/128
An isomorphism from a set onto itself. An automorphism group of a group G is the group formed by the automorphisms of G (bijections from G to itself which preserve the multiplication). Similarly, one can consider the automorphism groups of other structures such as rings and graphs, by looking at bij...
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Au`to·mor'phism noun Automorphic characterization.
H. Spenser. Found on
http://www.encyclo.co.uk/webster/A/149
automorphism, automorphic, automorphically 1. Patterned after oneself. 2. The judgment of others by analogy from the knowledge of one's self. 3. An ascription (relating a particular cause) to others of one's own characteristics.
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an isomorphism from a given set to itself. Cf. inner automorphism, outer automorphism.
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https://www.infoplease.com/dictionary/automorphism
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