| 释义 |
▪ I. † invertible, a.1 Obs.|ɪnˈvɜːtɪb(ə)l|
[ad. late L. invertibil-is (4th c., Hilary), f. in- (in-3) + vertĕre to turn: see -ble.]
That cannot be turned or reversed.
1534Cranmer Let. to Cromwell 17 Apr. in Strype Mem. (1812) 694 An indurate and invertible conscience. 1633T. Adams Exp. 2 Peter ii. 4 The will of the devil is still invertible.
▪ II. inˈvertible, a.2
[f. invert v. + -ible. Cf. OF. invertible.]
1. a. That can be inverted. b. That tends to invert the usual order. rare.
1881Macfarren Counterp. ii. 4 This interval is not invertible. 1892Fortn. Rev. LI. 521 There is a sort of invertible quality in the Japanese..which makes them train their horses to gallop uphill.
2. Math. Of an element of a set: having an inverse in the set (spec. an inverse for multiplication).
1956C. Chevalley Fund. Concepts Algebra ii. 27 Let G be the set of all invertible elements of a monoid A. 1963G. D. Mostow et al. Fund. Struct. Algebra vi. 141 Invertible elements are divisible only by invertible elements. Ibid. xii. 341 An element a is called invertible if there is an element a′ in A such that aa′ = a′a = e. 1965Patterson & Rutherford Elem. Abstract Algebra iv. 122 An element x ε R is said to be invertible if it has an inverse with respect to multiplication: that is, if there exists y such that xy = e = yx.
Hence invertiˈbility.
1963H. B. Curry Found. Math. Logic v. 249 Ketonen..showed the invertibility of his classical propositional rules. 1973J. J. Zeman Modal Logic iii. 50 The number of rules we must examine for invertibility. |