| 释义 |
well-ˈordered, ppl. a.
1. Exhibiting good order; rightly regulated; carefully arranged; following good lines of conduct or procedure.
1606Shakes. Tr. & Cr. ii. ii. 180 There is a Law in each well-ordred Nation To curbe those raging appetites that are Most disobedient and refracturie. 1615Chapman Odyss. xix. 158 Nothing else, the cause Of all these blessings, but well order'd Lawes. 1668R. Steele Husbandman's Calling v. (1672) 96 Well-ordered charity makes no man poor. 1710Atterbury Serm. (1734) I. 318 A Vertuous and Well-ordered Life. 1712Addison Spect. No. 417 ⁋5 The æneid is like a well ordered Garden. 1768–74Tucker Lt. Nat. (1834) II. 23 It is of the utmost importance to have a well-ordered imagination. 1781Gibbon Decl. & F. xviii. (1787) II. 116 The well-ordered ranks of Romans and Barbarians. 1841Dickens Barn. Rudge xl, White, well-ordered teeth. 1877Huxley Techn. Educ. Sci. & Cult. (1881) 77 A well-ordered elementary school. 1886Pascoe London To-day xx. (ed. 3) 193 To church or chapel in the morning, at least, is the custom of most well-ordered persons in London.
2. Math. [tr. G. wohlgeordnet (G. Cantor in Math. Ann. (1883) XXI. 548, (1898) XLIX. 207).] Of an ordered set: having the property that every non-empty subset of it has a first or least element.
1902Amer. Jrnl. Math. II. 384 The usual notation α + β + γ +..is only suitable for a finite, or at least for a well-ordered set of numbers. 1931P. Dienes Taylor Series iii. 95 All these definitions..extend to every type of transfinite sequence (well-ordered set) of numbers. 1975R. A. Silverman tr. Kolmogorov & Formin's Introd. Real Analysis i. 23 The set M of rational numbers in the interval [0, 1] is ordered but not well-ordered. |