automorphismn.

Brit.

/ˌɔːtə(ʊ)ˈmɔːfɪz(ə)m/, U.S.

/ˌɔdəˈmɔrˌfɪz(ə)m/,

/ˌɔdoʊˈmɔrˌfɪz(ə)m/,

/ˌɑdəˈmɔrˌfɪz(ə)m/,

/ˌɑdoʊˈmɔrˌfɪz(ə)m/

Origin: Formed within English, by compounding. Etymons: auto- comb. form¹, -morphism comb. form.

Etymology: < auto- comb. form¹ + -morphism comb. form. With sense 1 compare slightly earlier automorphic adj.

1. Mathematics. A transformation or correspondence that relates a set, space, etc., to itself; spec. an isomorphism of a structure with itself. Now rare.

ΘΚΠ

the world > relative properties > number > arithmetic or algebraic operations > transformation > [noun] > correspondence > into (part of) itself

automorphism1862

projection1935

1862 Rep. Brit. Assoc. Advancement Sci. 1861 294 When two forms of the same sort have all their invariants equal to zero, it may happen that each of them passes into the other by transformations of which the modulus is not a unit. But in this Report we shall have no occasion to consider these exceptional cases, whether of equivalence or of automorphism.

1902 A. R. Forsyth Theory Differential Equations IV. x. 524 The main aim in constructing them [sc. functions] was to obtain functions which should exhibit..the organic character of automorphism under the substitution of the groups.

1908 Math. Gaz. 4 336 The isomorphisms of a group with itself, or automorphisms, form the subject of Chapter X.

1949 tr. B. L. van der Waerden Mod. Algebra I. ii. 25 The automorphisms of a set are an expression of its symmetry.

1955 L. Mirsky Introd. Linear Algebra iv. 125 A linear transformation of a finite-dimensional linear manifold onto itself is an automorphism.

2. The attribution of one's own characteristics to another; an instance of this. Now rare.Cf. anthropomorphism n., zoomorphism n.

ΘΚΠ

the mind > mental capacity > consciousness > subjectivity, relation to self > ascription of self to other > [noun]

automorphism1872

1872 H. Spencer in Contemp. Rev. Dec. 4 Our interpretations must be automorphic; and yet automorphism perpetually misleads us.

1894 H. M. Stanley Stud. Evol. Psychol. Feeling 297 When we come to interpret the psychoses of the lower animals in connection with sexuality we may still more easily slip into a doubtful automorphism.

1951 M. Gabain tr. O. Brachfeld Inferiority Feelings xi. 120 His descriptions lapse into a dangerous auto-morphism, attributing to the baby objective observations which it is far from making.

1989 Frederick (Maryland) Post 15 Aug. a6/5 As far as these other judges' credibility? They..could be suffering from automorphism.

This entry has been updated (OED Third Edition, June 2011; most recently modified version published online December 2021).

单词	automorphism
释义	automorphismn. Brit. /ˌɔːtə(ʊ)ˈmɔːfɪz(ə)m/, U.S. /ˌɔdəˈmɔrˌfɪz(ə)m/, /ˌɔdoʊˈmɔrˌfɪz(ə)m/, /ˌɑdəˈmɔrˌfɪz(ə)m/, /ˌɑdoʊˈmɔrˌfɪz(ə)m/ Origin: Formed within English, by compounding. Etymons: auto- comb. form¹, -morphism comb. form. Etymology: < auto- comb. form¹ + -morphism comb. form. With sense 1 compare slightly earlier automorphic adj. 1. Mathematics. A transformation or correspondence that relates a set, space, etc., to itself; spec. an isomorphism of a structure with itself. Now rare. ΘΚΠ the world > relative properties > number > arithmetic or algebraic operations > transformation > [noun] > correspondence > into (part of) itself automorphism1862 projection1935 1862 Rep. Brit. Assoc. Advancement Sci. 1861 294 When two forms of the same sort have all their invariants equal to zero, it may happen that each of them passes into the other by transformations of which the modulus is not a unit. But in this Report we shall have no occasion to consider these exceptional cases, whether of equivalence or of automorphism. 1902 A. R. Forsyth Theory Differential Equations IV. x. 524 The main aim in constructing them [sc. functions] was to obtain functions which should exhibit..the organic character of automorphism under the substitution of the groups. 1908 Math. Gaz. 4 336 The isomorphisms of a group with itself, or automorphisms, form the subject of Chapter X. 1949 tr. B. L. van der Waerden Mod. Algebra I. ii. 25 The automorphisms of a set are an expression of its symmetry. 1955 L. Mirsky Introd. Linear Algebra iv. 125 A linear transformation of a finite-dimensional linear manifold onto itself is an automorphism. 2. The attribution of one's own characteristics to another; an instance of this. Now rare.Cf. anthropomorphism n., zoomorphism n. ΘΚΠ the mind > mental capacity > consciousness > subjectivity, relation to self > ascription of self to other > [noun] automorphism1872 1872 H. Spencer in Contemp. Rev. Dec. 4 Our interpretations must be automorphic; and yet automorphism perpetually misleads us. 1894 H. M. Stanley Stud. Evol. Psychol. Feeling 297 When we come to interpret the psychoses of the lower animals in connection with sexuality we may still more easily slip into a doubtful automorphism. 1951 M. Gabain tr. O. Brachfeld Inferiority Feelings xi. 120 His descriptions lapse into a dangerous auto-morphism, attributing to the baby objective observations which it is far from making. 1989 Frederick (Maryland) Post 15 Aug. a6/5 As far as these other judges' credibility? They..could be suffering from automorphism. This entry has been updated (OED Third Edition, June 2011; most recently modified version published online December 2021). < n.1862
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