| 释义 |
automorphic, a.|ɔːtəʊˈmɔːfɪk|
[f. Gr. αὐτοµορϕ-ός self-formed, f. αὐτο- self + µορϕή form. (After anthropomorphic.)]
1. Characterized by automorphism (sense 1). autoˈmorphically adv., in automorphic manner.
1873H. Spencer Stud. Sociol. vi. 114 The conception which anyone frames of another's mind, is inevitably more or less after the pattern of his own mind—is automorphic. Ibid. 115 He interpreted them automorphically.
2. Math. automorphic function [ad. G. automorphe funktion (F. Klein 1890, in Nachrichten v. d. königlichen Ges. d. Wissenschaften, Göttingen 1890 Mar. 94).] (See quot. 1892.)
1892W. Burnside in Proc. London Math. Soc. 1891–2 XXIII. 49 On a class of automorphic functions. Ibid. 52, I have used the phrase ‘automorphic function’, as introduced by Professor Klein, to denote generally any function which is unchanged by the substitutions of a discontinuous group, whatever be the nature of the group. 1898E. T. Whittaker in Phil. Trans. (1899) CXCII. 1 The only automorphic functions known hitherto which have been applied to uniformise forms whose genus is greater than unity, are those given by certain sub-groups of the modular group. 1902― Mod. Analysis 339 Two classes of automorphic functions are known by which this uniformisation may be effected.
3. Cryst. [ad. G. automorph (C. E. M. Rohrbach 1885, in Mineral. u. Petrograph. Mittheilungen VII. 18).] = idiomorphic a.
1888F. H. Hatch in J. J. H. Teall Brit. Petrogr. 435 The mineral constituents of rocks are said to be idiomorphic in so far as they are bounded by faces peculiar to the species. The word is synonymous with Rohrbach's ‘automorphic’. |