| 释义 |
▪ I. † ˈiterate, ppl. a. Obs.
Forms: 5 iterat, 6–7 iterate.
[ad. L. iterāt-us, pa. pple. of iterāre: see next.]
= iterated. a. as adj.
1471Ripley Comp. Alch. xi. iv. in Ashm. (1652) 182 Hyt Multyplyeth by Iterat Fermentacion. 1657W. Morice Coena quasi κοινὴ Def. xxxii. 298 When our faith is otherwise well enough known, there needs no iterate confession.
b. as pa. pple.: see iterate v.
1532More Confut. Tindale Wks. 351/2 Hys open proclamacions diuers times iterate and renewed. 1558Bp. Watson Sev. Sacram. ii. 12 The baptisme is good and may not be iterate and geuen agayne. a1626Bp. Andrewes Serm. (1856) I. 374 These and these sins I have committed, so many so heinous, so oft iterate.
Hence † ˈiterately adv., repeatedly.
1658Sir T. Browne Hydriot. iii. 40 The cemeterial cells..were filled with draughts of Scripture stories..iterately affecting the pourtraits of Enoch, Lazarus, Jonas, and the vision of Ezechiel.
▪ II. iterate, v.|ˈɪtəreɪt|
Also 6 yterate, 7 iterat, itterate.
[f. L. iterāt-, ppl. stem of iterā-re to do again, repeat, rehearse, f. iterum again. Preceded in use by iterate ppl. a.; see prec.]
1. trans. To do (something) over again; to perform (an action) a second time, or reproduce (an effect); to repeat; to renew. Now rare.
1533Coverdale Treat. Lord's Supper Wks. (Parker Soc.) I. 448 Neither do they think that it ought to be so often iterated and repeated, after that we have once received Christ. 1594West 2nd Pt. Symbol. §175 Amongst heretikes are numbered Anabaptists, which wickedly yterate holy baptisme. 1650Ashmole Chym. Collect. 78 The dregs being cast away, iterate the Sublimation of the most white Dust by it self. 1682tr. Boyle's 2nd Contn. Exp. Phys.-mech. vii. iv, Having wiped and cleansed away the soot, I iterated the experiment. a1734North Lives (1826) III. 341 He found that by often iterating, his thoughts lost of their force. 1862Hook Lives Abps. II. 642 That cannot be said to be iterated, which is not known to have been done before.
2. To say, mention, or assert again or repeatedly; to repeat.
1533Tindale Supper of Lord Wks. (Parker Soc.) III. 245, I am here compelled to inculk and iterate it with so many words. 1597Hooker Eccl. Pol. v. xxxvii. §2 This is the very cause why we iterate the Psalms oftener then any other part of Scripture. 1611Bible Ecclus. xli. 23 Iterating and speaking againe that which thou hast heard. 1661Morgan Sph. Gentry ii. i. 5 You must not itterate or name one Colour twice in the blazon of one Coat. 1858Sat. Rev. 20 Nov. 500/2 Scientific research iterates and reiterates one moral..the greatness of little things. 1863Cowden Clarke Shaks. Char. v. 134 She iterates..to all the charges crowding in against him, ‘My husband!’
†3. To make double or twofold; to duplicate. Obs. rare.
1660J. Lloyd Prim. Episc. 70 Our Saviour iterated their ordinary into the pastoral extraordinary and ordinary offices.
4. intr. Math. To employ iteration; to make repeated use of a formula by substituting in it each time the result of the previous application.
1953A. S. Householder Princ. Numerical Analysis ii. 45 Since the ‘approximation’ x0 with which one may start an iteration does not necessarily need to be close, it is sometimes advantageous to..start with an arbitrary x0, perhaps x0 = 0, and iterate until the approach is sufficiently close. 1957L. Fox Numerical Solution Two-Point Boundary Probl. iv. 81 As an example..of an uncommon but convenient iterative procedure consider the solution of the differential equation y{pp} - (1/x4 - 2/x3)y + 1/x2 = 0... We iterate according to the scheme yn + 1 = x2(1 + x2y {pp} / n )/(1 - 2x), with y0 = 0.
Hence ˈiterating vbl. n.
c1590Marlowe Faust. v. 157 The iterating of these lines brings gold. a1626Bacon Max. & Uses Com. Law xxi. (1636) 74 The doubling or iterating of that and no more..is reputed nugation. 1644Digby Mans Soul (1645) 127 The iterating of those acts, which brought it from ignorance to knowledge.
▪ III. iterate, n. Math.|ˈɪtərət|
[f. the vb., or ad. L. iterāt-us, pa. pple. of iterāre (see iterate v.): see -ate1.]
A quantity arrived at by iteration.
1941R. J. Schmidt in Phil. Mag. XXXII. 370 Denote the nth approximation to the value of any unknown xr by xr(n). To solve these [simultaneous] equations by the method of successive approximations, we assume approximations x2(0), x3(0),{ddd}xm(0) to the unknowns x2, x3,..xm. Making use of these values we then use the first equation to find x1(1), the first approximation to x1. As the approximations will not always converge to the value of the unknowns, we shall, in future, call the numbers xs(r) iterates. 1956F. B. Hildebrand Introd. Numerical Analysis x. 449 The error tk in the kth iterate will be approximately the square of that in the preceding iterate, and will be of opposite sign. 1968Fox & Mayers Computing Methods for Scientists & Engineers i. 10 In the days of machine saturation it is tempting to take 25 iterates even though 250 are really necessary. 1968N. Bourbaki Theory of Sets iii. 186 The mapping fn is called the nth iterate of the mapping f. |