# automorphic

automorphic
a) Describing a mineral, in an igneous rock, that is bounded by its own crystal face; euhedral, idiomorphic
b) Describing a number whose square ends in the number itself; circular

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• Automorphic — in mathematics may apply to*Automorphic numbers *Automorphic forms or the related automorphic representations *Automorphism …   Wikipedia

• Automorphic — Au to*mor phic, a. [Auto + Gr. ? for, shape.] Patterned after one s self. [1913 Webster] The conception which any one frames of another s mind is more or less after the pattern of his own mind, is automorphic. H. Spenser. [1913 Webster] …   The Collaborative International Dictionary of English

• automorphic — |ȯd.ə|mȯrfik adjective Etymology: aut + morphic 1. : patterned after self an automorphic concept 2. [International Scientific Vocabulary aut + morphic; originally formed as German automorph] : idiomorphic …   Useful english dictionary

• Automorphic number — In mathematics an automorphic number (sometimes referred to as a circular number) is a number whose square ends in the same digits as number itself. For example, 52 = 25, 762 = 5776, and 8906252 = 793212890625, so 5, 76 and 890625 are all… …   Wikipedia

• Automorphic form — In mathematics, the general notion of automorphic form is the extension to analytic functions, perhaps of several complex variables, of the theory of modular forms. It is in terms of a Lie group G, to generalise the groups SL2(R) or PSL2 (R) of… …   Wikipedia

• Automorphic factor — In mathematics, an automorphic factor is a certain type of analytic function, defined on subgroups of SL(2,R), appearing in the theory of modular forms. The general case, for general groups, is reviewed in the article factor of automorphy .… …   Wikipedia

• automorphic number — noun A number whose decimal representation of its square ends in itself. 5 is an automorphic number because 5 = 25, which ends in 5 …   Wiktionary

• automorphic-granular — “+| adjective of a rock : characterized by a texture whose constituents are all automorphic called also idiomorphic granular …   Useful english dictionary

• automorphic — see idiomorphic …   Dictionary of invertebrate zoology

• automorphic — automorphically, adv. /aw teuh mawr fik/, adj. Petrog. idiomorphic (def. 1). [1870 75; AUTO 1 + MORPHIC] * * * …   Universalium