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单词 interpolate
释义

interpolaten.

/ɪnˈtəːpələt/
Etymology: < Latin interpolātus, past participle of interpolāre (see interpolate v.): see -ate suffix1 1b.
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.

Etymology: < Latin interpolātus, past participle of interpolāre : see interpolate v.
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.

Brit. /ɪnˈtəːpəleɪt/, U.S. /ᵻnˈtərpəˌleɪt/
Etymology: < participial stem of Latin interpolāre to furbish up, to alter, < inter (inter- prefix 1a(a)) + -polāre , related to polīre to polish v.
1. transitive. To polish or furbish up; to put a fresh gloss on. Obsolete. rare.
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.
5. transitive. To interrupt by an interval. (Only in passive: cf. interpolate adj.) Obsolete. rare.
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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n.1920adj.1547v.1612
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