单词 | interpolate |
释义 | interpolaten. Mathematics. A value arrived at by interpolation. ΘΚΠ the world > relative properties > number > algebra > [noun] > expression > function > value or set of values of maximum1646 minimum1646 nullity1710 modulus1843 argument1865 zero1873 range1891 extremum1904 interpolate1920 1920 Tracts for Computers 11. 17 As a rule the interpolation formulae work, but once in a while bitter experience forces us up against cases in which increasing the number of differences..is quite ineffectual as a method of obtaining accurate interpolates. 1932 Proc. Edinb. Math. Soc. 3 56 For example, a linear interpolate u0.683 can be computed from u0 and u1 as u0.683 = 0·317u0 + 0·683u1. 1946 Philos. Mag. 37 260 A function value interpolated in this way may indeed be more accurate than any of the eight values used to obtain it. For in a perfect table the rounding-off errors of the eight interpolants have uniform probability distributions between − 0·5 and 0·5 in units of the last decimal, and it may be shown that the probability of the resulting error of the interpolate is very nearly normally distributed with standard deviation 0·12. 1956 F. B. Hildebrand Introd. Numerical Anal. ii. 35 If more reliable interpolates are desired, it is clearly necessary to make use of more information than that consisting merely of tabulated values (ordinates) of a function, corresponding to two successive abscissas. This entry has not yet been fully updated (first published 1976; most recently modified version published online December 2018). † interpolateadj. Obsolete. Interpolated. a. Interrupted, intermittent.With earliest quots. cf. interpolate v. 5 and obsolete. French fièvre interpolée (Godefroy). ΘΚΠ the world > time > frequency > infrequency > [adjective] > intermittent or irregular chopping1483 wavering1488 interpolate1547 suspensive1575 off and on1583 remitting1583 intermissive1586 fluttering1590 aguisha1602 intermittent1603 irregular1608 broken1629 intermitting1643 serratile1707 serrine1707 scattering1709 serratic1753 now-and-then1762 remittent1791 fitful1810 non-periodic1836 spasmodic1837 startful1837 interlusory1853 heterochronic1854 heterochronous1854 between-whiles1859 snatchy1861 sporadic1861 spasmodical1864 catchy1869 pauseful1877 aperiodic1879 scratchy1881 nervy1884 spurty1894 off-again on-again1923 on-again off-again1946 on-off1949 1547 A. Borde Breuiary of Helthe i. f. lxv A symple interpollatte feuer doth infest a man ones a day. A doble interpollatte feuer dothe infeste a man twise a daye. a1652 A. Wilson Hist. Great Brit. (1653) 125 In the interpolate Fits of Agues. 1669 Addr. Hopeful Young Gentry 23 On publick [affairs], their interpolate jealousies..every where bring in growing discontents and murmurings. b. Added surreptitiously; inserted. ΘΚΠ society > leisure > the arts > literature > literary and textual criticism > textual criticism > version of text > [adjective] > interpolated interpolate1651 irreptitious1672 interpolateda1676 interpolative1813 interpolatory1946 1651 R. Baxter Plain Script. Proof Infants Church-membership & Baptism 155 Though the place be most express for Infant Baptism, and the Book ancient, yet it is either spurious or interpolate. This entry has not yet been fully updated (first published 1900; most recently modified version published online March 2021). interpolatev.ΘΚΠ the world > action or operation > amending > restoration > restore [verb (transitive)] > renovate or renew > refurbish refresh1468 recoct1562 repolish1577 furbish1587 vamp1599 interpolate1623 vamp1632 new-vampa1640 revamp1803 refurbish1824 to fig up1825 rehabilitate1878 face-lift1939 refurb1970 1623 H. Cockeram Eng. Dict. Interpolate, to polish. 1706 Phillips's New World of Words (new ed.) To Interpolate (properly to bring old things to a new form), to new vamp,..to alter or falsify an Original. 2. a. To alter or enlarge (a book or writing) by insertion of new matter; esp. to tamper with by making insertions which create false impressions as to the date or character of the work in question. ΘΚΠ society > leisure > the arts > literature > literary and textual criticism > textual criticism > version of text > create version of text [verb (transitive)] > interpolate (a word or passage) > alter (a writing) by interpolation interline1611 interpolate1612 spatchcock1901 1612 J. Selden in M. Drayton Poly-olbion x. Illustr. 169 You admit Cæsars copie to be therein not interpolated. a1661 T. Fuller Worthies (1662) Cornw. 211 A Manuscript of Sir Ralph Hoptons..interpolated with his own hand. 1709 Philos. Trans. 1708–09 (Royal Soc.) 26 398 They had no more Allowance to alter them than they had to alter and interpolate the Text of the Author himself. 1846 T. Wright Ess. Middle Ages I. viii. 258 The poem of Beowulf..has been much interpolated by Christian transcribers. 1873 Clark & Wright Macbeth (Clar. Press ed.) p. xii We are inclined to think that the play was interpolated after Shakspeare's death. b. transferred. To adulterate, temper, or modify, by new or foreign additions. ΚΠ 1834 Blackwood's Mag. 36 69 It was judged sufficient to interpolate, as it were, the hostile people by colonizations from Rome. 1862 E. Bulwer-Lytton Strange Story I. xxviii. 212 The strange notions with which he was apt to interpolate the doctrines of practical philosophy. 3. a. To introduce (words or passages) into a pre-existing writing; esp. to insert (spurious matter) in a genuine work without note or warning. ΘΚΠ society > leisure > the arts > literature > literary and textual criticism > textual criticism > version of text > create version of text [verb (transitive)] > interpolate (a word or passage) interlard1545 interfarce1567 intext1570 thrust in1574 interpolate1640 spatchcock1901 1640 Bp. J. Hall Episcopacie ii. xi. 157 Words which no Vedelius can carp at as interpolated. 1699 R. Bentley Diss. Epist. Phalaris (new ed.) Introd. 22 The same Person has interpolated four Passages more. 1791 J. Boswell Life Johnson anno 1751 I. 125 In these he [sc. Lauder] interpolated some fragments of Hog's Latin translation of that poem. 1876 G. Bancroft Hist. U.S. (rev. ed.) II. xxx. 243 It interpolated into the statute-book the exclusion of papists from the established equality. b. transferred. To insert or introduce (something additional or different) between other things, or in a series; to intercalate. ΘΚΠ the world > space > relative position > condition or fact of being interjacent > be or make interjacent [verb (transitive)] > place (a thing) between interlace1532 interlard1545 interplace1548 object1548 intersert1582 lace1595 interpose1599 interblend1605 interlay1609 enlard1621 interpone1678 intercalate1824 interpolate1827 interlocate1851 interleave1856 sandwich1861 1827 J. Bentham Rationale Judicial Evid. I. i. vii. 118 You may..oblige me to interpolate a number..of intermediate causes. 1837 W. Whewell Hist. Inductive Sci. I. 126 By interpolating a month of 30 days. 1839 R. I. Murchison Silurian Syst. i. iii. 28 A great thickness of sandstone is there interpolated between the magnesian limestone and the carboniferous strata. 1843 J. S. Mill Syst. Logic I. iii. xii. §3 Future experience may..interpolate another link. c. (With the words spoken as object.) To interpose orally. ΘΚΠ the mind > language > speech > interruption > interrupt (speech) [verb (transitive)] > interpose interpone1523 interpose1605 to throw in1630 to edge in1683 to put in1693 interject1791 interjaculate1853 to drag in (into)1868 to chip in1872 interpolate1881 1881 C. E. L. Riddell Senior Partner I. vii. 151 ‘I have not a word to say against Effie,’ began..Robert... ‘If ye had, ye'd best not say it before me,’ interpolated his father. 1908 Smart Set June 142/1 ‘I suppose I may claim some eminence as physicians go.’ ‘Top notch of the whole bunch, dad!’ interpolated Keene. 1922 J. Joyce Ulysses iii. xvi. [Eumaeus] 585 What year would that be about? Mr Bloom interpolated. 4. intransitive or absol. To make insertions or interpolations. ΘΚΠ society > communication > writing > [verb (intransitive)] > make insertions interpolate1720 1720 J. Gay Poems Several Occasions II. 383 Criticks in Classicks oft' interpolate, But ev'ry word of thine is fix'd as fate. a1774 A. Tucker Light of Nature Pursued (1777) III. iii. 54 Have not other writers elsewhere interpolated, invented, and forged? a1832 J. T. Graves Rom. & Canon Law in Encycl. Metrop. (1845) II. 773/1 They were to select all that was best, with permission to alter and interpolate. ΘΚΠ the world > action or operation > ceasing > temporary cessation of activity or operation > cease from temporarily [verb (transitive)] > cause to cease temporarily suspendc1290 pausea1542 intermit1557 to give (a) pause1566 intercidea1641 interpolatea1676 a1676 M. Hale Primitive Originat. Mankind (1677) i. iii. 79 This motion even of the Heavenly Bodies themselves seems to be partly continued and unintermitted..partly interpolated and interrupted. a1676 M. Hale Primitive Originat. Mankind (1677) i. iii. 96 The alluvion of the Sea upon those Rocks might not be eternally continued, but interpolated. 6. Mathematics. To insert an intermediate term or terms in a series (see interpolation n. 3b). With the series, or now usually the term, as object. Also absol. or intransitive, to use or perform interpolation. Also figurative. ΘΚΠ the world > relative properties > number > mathematical number or quantity > numerical arrangement > manipulate set [verb (transitive)] well-order1618 interpole1677 sum1740 interpolate1796 represent1897 truncate1955 intrapolate1956 partition1959 convolve1969 the world > relative properties > number > mathematical number or quantity > numerical arrangement > converge [verb (intransitive)] > perform interpolation interpolate1888 1796 C. Hutton Math. & Philos. Dict. (new ed.) I. 640/2 A general theorem for Interpolating any term is as follows. 1882 Ogilvie's Imperial Dict. (new ed.) (at cited word) To interpolate a number or a table of numbers. 1888 Encycl. Brit. XXIII. 8/2 The reciprocal of a number of five figures is therefore taken out at once, and two more figures may be interpolated for as in logarithms. 1905 W. James Meaning of Truth (1909) v. 129 The philosopher here stands for the stage of thought that goes beyond the stage of common sense; and the difference is simply that he ‘interpolates’ and ‘extrapolates’, where common sense does not. 1928 Monthly Notices Royal Astron. Soc. LXXXVIII. 506 The Lagrangian method of interpolating to fixed sub-divisions of an interval. 1968 L. Fox & D. F. Mayers Computing Methods for Scientists & Engineers i. 11 Interpolating for y(2·5), from given values at x = 2 and x = 3, the formula gives y(2·5) = 22y(3)/35 + 18y(2)/35. Derivatives inˈterpolated adj. ΘΚΠ the world > action or operation > ceasing > temporary cessation of activity or operation > [adjective] intermitted1557 pausing1572 suspensivea1623 cessant1648 suspending1656 interpolateda1676 suspended1795 abeyant1822 society > leisure > the arts > literature > literary and textual criticism > textual criticism > version of text > [adjective] > interpolated interpolate1651 irreptitious1672 interpolateda1676 interpolative1813 interpolatory1946 the world > relative properties > number > mathematical number or quantity > numerical arrangement > [adjective] > of sets > of sequences > series > inserted in interpolated1838 interpolatory1946 the world > space > relative position > condition or fact of being interjacent > [adjective] > placed between interject1578 intersited1578 interposed1602 interplaced1603 interjecteda1619 entre-pressed1641 intercalary1798 interceptive1819 intercalated1849 interlaid1856 interpolated1875 in-between1898 a1676 M. Hale Primitive Originat. Mankind (1677) i. v. 113 That Individual hath necessarily a concomitant succession of interpolated Motions. 1695–6 T. Smith in H. Ellis Orig. Lett. Eminent Literary Men (1843) (Camden) 239 I..found it to bee the interpolated copy of Symeon Metaphrastes. 1796 C. Hutton Math. & Philos. Dict. (new ed.) I. 641/1 This series for the interpolated term will break off, and terminate. 1838 Penny Cycl. XII. 508/1 Generally speaking..the interpolated values are as correct as the tabular ones. 1875 F. A. G. Ouseley Treat. Musical Form 109 Bar 24 is an interpolated bar to prolong the cadence. inˈterpolating n. and adj. ΚΠ 1851 W. Whewell in J. F. W. Herschel Man. Sci. Enq. (Lords Commissioners Admiralty) (ed. 2) 111 This way of finding the exact time of high water (or low water) from observations made every five or every ten minutes..is called ‘interpolating’. This entry has not yet been fully updated (first published 1900; most recently modified version published online March 2022). < |
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