▪ I. ordered, ppl. a.
(ˈɔːdəd)
[f. order v. + -ed1.]
† 1. In holy orders, ordained. (Also, Belonging to a religious order.) Obs.
| 1303 R. Brunne Handl. Synne 1540 By þese ordryde men, y mene, Here wurdys owtȝ to be feyrer and clene. c 1325 Poem Times Edw. II 124 in Pol. Songs (Camden) 329 Nu is pride maister in everich ordred hous. c 1386 Chaucer Pars. T. ¶708 If he be ordred he is irreguleer. 1615 Wadsworth in Bedell's Lett. 13 Neither doe the Orderer nor the Ordered giue nor receiue the Orders as a Sacrament. |
2. a. Set in order, arranged, disposed; disciplined, regulated, controlled; † made ready, prepared (obs.).
| 1579 Tomson Calvin's Serm. Tim. 70/2 The verie Barbarians..haue a more ordered state in truth and justice. 1612 T. Taylor Comm. Titus ii. 14 Pure hands, chast eyes, an ordered tongue. 1712 Addison Spect. No. 417 ¶5 Like a well ordered Garden. 1850 Blackie æschylus II. 230 Strong in the ordered ranks of war Forth they went. 1872 Whittier Brewing of Soma 79 And let our ordered lives confess The beauty of Thy peace. |
b. Mil. in ordered arms: see order v. 1 b.
| 1847 Infantry Man. (1854) 40 b, Any movement can take place from ordered arms. |
c. Math. Of a set: having the property that there is a transitive binary relation, >, such that for any elements a, b of the set a > b, b > a, or b = a; ordered pair, a pair of elements (a, b) such that (a, b) = (u, v) if and only if a = u and b = v; similarly ordered triple, ordered n-tuple.
| 1901 Bull. Amer. Math. Soc. VII. 225 Consider the ordered assemblage 1, 2, {ddd}, n{p}, {ddd}, n, {ddd}n{pp}, where n{p}, n and n{pp} are definite and subject to the condition that, in (S), n{p} comes before n and the latter before n{pp}. 1906 W. H. & G. C. Young Theory of Sets of Points vi. 121 A set in given order will be called an ordered set... Its components..may be distinguished as ordered components. 1941 Birkhoff & MacLane Survey Mod. Algebra ii. 55 There are many other ordered fields: the field of real numbers, the field..of numbers a + b √ 2.., and other subfields of the real number field. 1953 Mind LXII. 541 A notion so little abstruse as that of an ordered pair. 1963 H. J. Ryser Combinatorial Math. i. 5 Let S be a set and let (a1, a2, {ddd}, ar) be an ordered r-tuple of not necessarily distinct elements of S. 1966 Meyer & Hanlon Fun with New Math vii. 90 To each point in ‘the Cartesian Plane’..there corresponds a unique ordered pair of real numbers. 1968 E. T. Copson Metric Spaces i. 5 The set of all ordered triples (x, y, z) of real numbers. |
3. Commanded, bidden, prescribed, ordained.
| 1780 Cowper Table-t. 560 Thus genius rose and set at ordered times. 1796 Instr. & Reg. Cavalry (1813) 137 The divisions of squadrons make their ordered degree of wheel. 1892 Daily News 14 June 5/3 Leave hawks and owls, even..the weasel, to play their ordered parts. 1898 Ibid. 23 Apr. 8/2 The ordered business of the day was Committee of Supply on the Civil Service Estimates. |
Hence ˈorderedness, the quality or fact of being ordered or regulated. rare.
| 1724 R. Wodrow Life Jas. Wodrow (1828) 183 The orderedness, sureness and everlasting nature of the Covenant. 1935 Jrnl. Theol. Stud. XXXVI. 314 The belief that the world's orderedness or knowability is an expression of mind. 1974 Sci. Amer. Mar. 43/1 (Advt.), In liquid-crystal work, one deals with the different forms and degrees of orderedness among molecules. |
▪ II. ˈordered, a. rare.
[f. order n. + -ed2.]
Decorated with the badge of an order of knighthood, merit, etc.
| 1817 Lady Granville Lett. (1894) I. 107 A number of little black starred and ordered Frenchmen. |