invertibleadj.²

Brit.

/ɪnˈvəːtᵻbl/, U.S.

/ᵻnˈvərdəb(ə)l/

Origin: Formed within English, by derivation. Etymons: invert v., -ible suffix.

Etymology: < invert v. + -ible suffix.Compare Old French invertible that can be changed (13th cent.; rare).

a. That can be or is designed to be inverted (in various senses of invert v.).

ΘΚΠ

the world > space > relative position > inversion > [adjective] > able to be

invertible1703

invertable1856

1703 tr. A. de Courtin Treat. Honour ii, in tr. A. de Courtin Rules Civility (rev. ed.) 239 As Honesty lies in that very thing, so a Man of Honour, and an honest Man they are almost invertible Terms.

1796 A. F. C. Kollmann Ess. Musical Harmony xiv. 101 Invertible parts can be added to those of a double counterpoint in the octave, in two different manners.

1856 Philos. Trans. (Royal Soc.) 146 447 The integument in the Rotifera is very flexible, and, especially in the frontal regions, is extremely invertible.

1879 G. A. Macfarren Counterpoint ii. 4 This interval is not invertible.

1912 Pop. Mech. Mar. 419/1 Invertible electric frying-pan. The electric-cooking utensil here shown is not only a complete frying-pan..but also becomes a disk stove..by simply inverting it.

1988 R. Fisher Poems 58 In my cabin a stack of folders of standard invertible reversible orchestrations, song copies and manuscript paper.

2010 Times Lit. Suppl. 5 Nov. 8/2 When turned upside down, they change from ‘portraits’ to still lifes... It is scarcely a coincidence that these two invertible figures are Arcimboldo's only lower-class subjects.

†b. That tends to invert the usual order. Obsolete. rare.

ΘΚΠ

the world > relative properties > order > order, sequence, or succession > [adjective] > reversing natural order

hysteron proteron1646

invertible1892

1892 Fortn. Rev. Apr. 521 There is a sort of invertible quality in the Japanese..which makes them train their horses to gallop uphill.

2. Mathematics. Of a function or other element of an algebraic structure: having an inverse (inverse n. 2b).

ΘΚΠ

the world > relative properties > number > mathematical number or quantity > numerical arrangement > [adjective] > of sets > of element in

invertable1856

invertible1922

1922 Trans. Amer. Math. Soc. 24 223 We may build up expressions with ∇ which are covariant for unique and invertible transformations ɸ(ρ).

1965 Mathematische Annalen 161 177 The intersection..consists of all the invertible functions from S into S.

2006 A. Ash & R. Gross Fearless Symmetry xi. 129 By definition, every element in this set is invertible, so we have inverses.

Compounds

invertible counterpoint n. Music Counterpoint constructed such that the relative placement of the parts or voices can be interchanged, with any of them placed above or below the others while respecting the rules of consonance, dissonance, and part-writing; a type or instance of such counterpoint.

ΚΠ

1836 Musical Libr. Suppl. Feb. 41/1 Order 1. Single counterpoint. 2. Invertible counterpoint.

1850 G. W. Röhner Pract. Treat. Musical Composition II. xii. 111 Inversion of three or more parts through all the changes of which the parts, numerically considered, are capable..is not practicable in any of the Invertible Counterpoints, but that in the Octave and Fifteenth.

1947 W. Piston Counterpoint ix. 167 If one wishes to retain the original form of the melodic lines exactly, throughout such transposition, the parts have to be written in invertible counterpoint.

2002 D. Yearsley Bach & Meanings of Counterpoint iv. 160 Deriving a canon from a piece of invertible counterpoint was a technique well-known in the eighteenth century.

Derivatives

inˌvertiˈbility n. now chiefly Mathematics

ΘΚΠ

the mind > mental capacity > philosophy > logic > predicate or propositional logic > [noun] > logical inference > inversion > capability of being

invertibility1849

1849 Methodist Q. Rev. July 477 The French affords no such resources to mediocrity as are found, for instance, in the greater invertibility, the mongrel origin, and dialectical imprecision of the English.

1973 J. J. Zeman Modal Logic iii. 50 The number of rules we must examine for invertibility.

2006 M. F. Barnsley Superfractals iii. 207 Notice too that there is no requirement of invertibility on the transformations in a semigroup.

This entry has been updated (OED Third Edition, June 2019; most recently modified version published online March 2022).

单词	invertible
释义	† invertibleadj.¹ Origin: A borrowing from Latin. Etymon: Latin invertibilis. Etymology: < post-classical Latin invertibilis (4th cent.) < classical Latin in- in- prefix⁴ + vertere to turn (see vert v.¹) + -bilis -ble suffix. Compare earlier vertible adj.Compare Old French invertible (beginning of the 14th cent.; rare). Obsolete. rare. Unchangeable, fixed; unswerving, undeviating. ΘΚΠ the mind > will > decision > resolution or determination > [adjective] > of qualities invertible1534 indeflexiblea1641 indeflectible1883 1534 T. Cranmer Let. 17 Apr. in J. Strype Mem. Cranmer (1694) App. 14 An indurate and invertible conscience. 1633 T. Adams Comm. 2 Peter (ii. 4) 510 The will of the Devill is still invertible. This entry has been updated (OED Third Edition, June 2019). invertibleadj.² Brit. /ɪnˈvəːtᵻbl/, U.S. /ᵻnˈvərdəb(ə)l/ Origin: Formed within English, by derivation. Etymons: invert v., -ible suffix. Etymology: < invert v. + -ible suffix.Compare Old French invertible that can be changed (13th cent.; rare). 1. a. That can be or is designed to be inverted (in various senses of invert v.). ΘΚΠ the world > space > relative position > inversion > [adjective] > able to be invertible1703 invertable1856 1703 tr. A. de Courtin Treat. Honour ii, in tr. A. de Courtin Rules Civility (rev. ed.) 239 As Honesty lies in that very thing, so a Man of Honour, and an honest Man they are almost invertible Terms. 1796 A. F. C. Kollmann Ess. Musical Harmony xiv. 101 Invertible parts can be added to those of a double counterpoint in the octave, in two different manners. 1856 Philos. Trans. (Royal Soc.) 146 447 The integument in the Rotifera is very flexible, and, especially in the frontal regions, is extremely invertible. 1879 G. A. Macfarren Counterpoint ii. 4 This interval is not invertible. 1912 Pop. Mech. Mar. 419/1 Invertible electric frying-pan. The electric-cooking utensil here shown is not only a complete frying-pan..but also becomes a disk stove..by simply inverting it. 1988 R. Fisher Poems 58 In my cabin a stack of folders of standard invertible reversible orchestrations, song copies and manuscript paper. 2010 Times Lit. Suppl. 5 Nov. 8/2 When turned upside down, they change from ‘portraits’ to still lifes... It is scarcely a coincidence that these two invertible figures are Arcimboldo's only lower-class subjects. †b. That tends to invert the usual order. Obsolete. rare. ΘΚΠ the world > relative properties > order > order, sequence, or succession > [adjective] > reversing natural order hysteron proteron1646 invertible1892 1892 Fortn. Rev. Apr. 521 There is a sort of invertible quality in the Japanese..which makes them train their horses to gallop uphill. 2. Mathematics. Of a function or other element of an algebraic structure: having an inverse (inverse n. 2b). ΘΚΠ the world > relative properties > number > mathematical number or quantity > numerical arrangement > [adjective] > of sets > of element in invertable1856 invertible1922 1922 Trans. Amer. Math. Soc. 24 223 We may build up expressions with ∇ which are covariant for unique and invertible transformations ɸ(ρ). 1965 Mathematische Annalen 161 177 The intersection..consists of all the invertible functions from S into S. 2006 A. Ash & R. Gross Fearless Symmetry xi. 129 By definition, every element in this set is invertible, so we have inverses. Compounds invertible counterpoint n. Music Counterpoint constructed such that the relative placement of the parts or voices can be interchanged, with any of them placed above or below the others while respecting the rules of consonance, dissonance, and part-writing; a type or instance of such counterpoint. ΚΠ 1836 Musical Libr. Suppl. Feb. 41/1 Order 1. Single counterpoint. 2. Invertible counterpoint. 1850 G. W. Röhner Pract. Treat. Musical Composition II. xii. 111 Inversion of three or more parts through all the changes of which the parts, numerically considered, are capable..is not practicable in any of the Invertible Counterpoints, but that in the Octave and Fifteenth. 1947 W. Piston Counterpoint ix. 167 If one wishes to retain the original form of the melodic lines exactly, throughout such transposition, the parts have to be written in invertible counterpoint. 2002 D. Yearsley Bach & Meanings of Counterpoint iv. 160 Deriving a canon from a piece of invertible counterpoint was a technique well-known in the eighteenth century. Derivatives inˌvertiˈbility n. now chiefly Mathematics ΘΚΠ the mind > mental capacity > philosophy > logic > predicate or propositional logic > [noun] > logical inference > inversion > capability of being invertibility1849 1849 Methodist Q. Rev. July 477 The French affords no such resources to mediocrity as are found, for instance, in the greater invertibility, the mongrel origin, and dialectical imprecision of the English. 1973 J. J. Zeman Modal Logic iii. 50 The number of rules we must examine for invertibility. 2006 M. F. Barnsley Superfractals iii. 207 Notice too that there is no requirement of invertibility on the transformations in a semigroup. This entry has been updated (OED Third Edition, June 2019; most recently modified version published online March 2022). < adj.¹1534adj.²1703
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† invertibleadj.1

invertibleadj.2

Compounds

Derivatives

† invertibleadj.¹

invertibleadj.²