Definition of automorphic in US English:

automorphic

adjective

  • 1Mathematics. Of a function: invariant with respect to a group of linear transformations of a certain kind. Of a transformation: †leaving a certain function invariant (obsolete).

  • 2Characterized by automorphism; formed on oneself.

  • 3Crystallography= idiomorphicrare.

  • 4Mathematics. Designating an n-digit number which when raised to a power gives a number whose last n digits are the same as the original number.

Origin

Mid 19th century; earliest use found in Arthur Cayley (1821–1895), mathematician. From auto- + -morphic. In the mathematical use designating a function after German automorph.

Pronunciation

automorphic

/ˌɔːtə(ʊ)ˈmɔːfɪk/