different between automorphism vs automorphic
automorphism
English
Etymology
auto- +? morphism
Noun
automorphism (plural automorphisms)
- (algebra) An isomorphism of a mathematical object or system of objects onto itself.
- The ascription to others of one's own characteristics.
Usage notes
- (algebra):
- An automorphism is characterised by the structure it preserves, which is usually specified as an object type. Thus one may speak of a group automorphism or ring automorphism.
- The identity mapping is sometimes called the trivial automorphism; any other automorphism may then be called a nontrivial automorphism.
Synonyms
- (isomorphism of a mathematical object or system of objects onto itself): self-map
- (ascription to others of one's own characteristics): projection
Hypernyms
- (algebra): isomorphism, endomorphism
Hyponyms
- (algebra): inner automorphism, outer automorphism, Möbius transformation
Derived terms
- automorphism group
Translations
See also
- self-map
Further reading
- Automorphism in the Encyclopædia Britannica (11th edition, 1911)
automorphism From the web:
automorphic
English
Adjective
automorphic (not comparable)
- (geology) Describing a mineral, in an igneous rock, that is bounded by its own crystal face; euhedral, idiomorphic
- (mathematics) Describing a number whose square ends in the number itself; circular
- (mathematics) Of or pertaining to automorphy or an automorphism
- Marked by automorphism, the ascription to others of one's own characteristics.
Translations
automorphic From the web:
- what is automorphic number
- what is automorphic number in java
- what is automorphic number in c
- what does isomorphic mean
- what are automorphic forms
- what are automorphic numbers in maths
- autapomorphy biology
- what does automorphic
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