interpolate

Definitions

  • WordNet 3.6
    • v interpolate insert words into texts, often falsifying it thereby
    • v interpolate estimate the value of
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Webster's Revised Unabridged Dictionary
    • Interpolate To alter or corrupt by the insertion of new or foreign matter; especially, to change, as a book or text, by the insertion of matter that is new, or foreign to the purpose of the author. "How strangely Ignatius is mangled and interpolated , you may see by the vast difference of all copies and editions.""The Athenians were put in possession of Salamis by another law, which was cited by Solon, or, as some think, interpolated by him for that purpose."
    • Interpolate (Math) To fill up intermediate terms of, as of a series, according to the law of the series; to introduce, as a number or quantity, in a partial series, according to the law of that part of the series; to estimate a value at a point intermediate between points of knwon value. Compare extrapolate.
    • Interpolate To renew; to carry on with intermission. "Motion . . . partly continued and unintermitted, . . . partly interpolated and interrupted."
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Century Dictionary and Cyclopedia
    • interpolate To insert in a writing; introduce, as a word or phrase not in the original text; especially, to foist in: introduce surreptitiously, as what is spurious or unauthorized.
    • interpolate To alter, as a book or manuscript, by insertion of new matter; introduce new words or phrases into; especially, to corrupt or vitiate by spurious insertions or additions.
    • interpolate In mathematics and physics, to introduce, in a series of numbers or observations (one or more intermediate terms), in accordance with the law of the series; make the necessary interpolations in: as, to interpolate a number or a table of numbers.
    • interpolate To carry on with intermissions; interrupt or discontinue for a time.
    • interpolate To interpose; place in an intermediate position.
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Chambers's Twentieth Century Dictionary
    • v.t Interpolate in-tėr′po-lāt to insert unfairly, as a spurious word or passage in a book or manuscript, to foist in: to corrupt:
    • v.t Interpolate in-tėr′po-lāt (math.) to fill up the intermediate terms of a series
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Etymology

Webster's Revised Unabridged Dictionary
L. interpolatus, p. p. of interpolare, to form anew, to interpolate, fr. interpolus, interpolis, falsified, vamped up, polished up; inter, between + polire, to polish. See Polish (v. t.)
Chambers's Twentieth Century Dictionary
L. interpolāre, -ātuminter, between, polīre, to polish.

Usage

In literature:

As for me, I shall only interpolate occasionally.
"The Lure of the Mask" by Harold MacGrath
Nevertheless, there are carefully interpolated overtones regarding Falstaff and Hal.
"A Learned Dissertation on Dumpling (1726)" by Anonymous
Mrs. Perkins told it between sobs, aided by interpolations from her neighbours.
"The End of the Rainbow" by Marian Keith
Nevertheless there are other cases in which we must suppose evolution to have proceeded by the interpolation of characters.
"Mendelism" by Reginald Crundall Punnett
These declarations are of course only interpolations in the midst of many more edifying though less original remarks.
"The Life of Sir James Fitzjames Stephen, Bart., K.C.S.I." by Sir Leslie Stephen
Mix interpolated a wary comment.
"Rope" by Holworthy Hall
Whether he heard the interpolation or not, is somewhat doubtful.
"Shoulder-Straps" by Henry Morford
His remarks are often so admirable that we prefer the interpolations to the main current of narrative.
"Hours in a Library" by Leslie Stephen
Can the passage be an interpolation of Lord Berners?
"Notes and Queries, Number 234, April 22, 1854" by Various
In the later plays these interpolations developed into scenes of roaring farce.
"An Introduction to Shakespeare" by H. N. MacCracken
PARK, Mungo, his book interpolated and altered by his editor, Bryan Edwards, ii.
"Curiosities of Literature, Vol. 3 (of 3)" by Isaac Disraeli
When men interpolate, it is because they believe their interpolation seriously needed.
"The Writings Of Thomas Paine, Complete" by Thomas Paine
This passage also is almost certainly interpolated.
"Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 3" by Various
The Thursdays in Lent, however, form an exception to this scheme; they are interpolations breaking the order of it.
"St. Gregory and the Gregorian Music" by E. G. P. Wyatt
He was also told to interpolate the series with a 'blank', that is, to think of nothing at all.
"Clever Hans" by Oskar Pfungst
They sought to interpolate resolutions expressing the original justice of the war.
"Lincoln, the Politician" by T. Aaron Levy
Take out the interpolations, and it is in accordance with the thought of the Nineteenth Century.
"About The Holy Bible" by Robert G. Ingersoll
At last he himself wanted to tell the stories to his teacher, with many interpolations and funny variations.
"The Angel of the Gila:" by Cora Marsland
The whole of this Chapter is obviously an interpolation in the Chronicle by some monk other than Jocelin himself.
"The Chronicle of Jocelin of Brakelond: A Picture of Monastic Life in the Days of Abbot Samson" by Jocelin de Brakelond
This would allow him a half volume of interpolations in the twenty-four and a half volumes done by others.
"The Quarterly of the Oregon Historical Society, Vol. IV" by Various
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In news:

Miller, 44, is wanted by the Federal Bureau of Investigation and Interpol for international parental kidnapping.
Interpol Releasing Deluxe Reissue of Debut Album.
Pope Benedict XVI waves as he arrives to lead a special audience for members of Interpol taking part in the 81st Interpol General Assembly at the Vatican ( MAX ROSSI, REUTERS / November 9, 2012 ).
Newly named Interpol president Mireille Balestrazzi smiles to photographers during the closing session of the 81st Interpol General Assembly , in Rome, Thursday, Nov 8, 2012.
The 81st session of the general assembly of the Interpol closed with the election of its first female president, France's Mireille Ballestrazzi.
This week sees the release of the sparely titled Banks, the first solo release under his own name by Interpol singer Paul Banks.
New Interpol Album Out Today.
Posts Tagged ' Interpol .
JBL VerTec On Interpol 's First Production Tour.
Thousands Arrested In Interpol Operation Targeting Illegal Trade In Birds.
Interpol to crack down on cyber crime.
Interpol arrests suspected 'Anonymous' hackers.
Interpol website suffers suspected attack after "Anonymous" arrests.
25 alleged Anonymous members arrested after Interpol investigation.
Interpol 's most wanted.
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In science:

In this section we describe an algorithm for generating fractal images like those for Julia or Mandelbrot sets from IFS interpolating functions.
Non-linear Fractal Interpolating Functions
We have considered two non–linear generalizations of fractal interpolating functions constructed from iterated function systems.
Non-linear Fractal Interpolating Functions
One – using a K th–order interpolating polynomial – can potentially improve the accuracy of fractal interpolating functions.
Non-linear Fractal Interpolating Functions
This conjecture may be supported by considering the spectra interpolating between the origin (0, 0) and a selected point on the hypocy:= exp(−2k lπi/N )/√N . cloid.
Random unistochastic matrices
In fact one needs to find interpolations between roots of unity of different orders (the corners of k and n–hypocycloid) based on the families of orthostochastic matrices.
Random unistochastic matrices
Repeating the argument with the multiplicative interpolation between any such a matrix and the Fourier matrix F (4) we conclude that all points inside the set bounded by this interpolation belong to the support ΣU 4 .
Random unistochastic matrices
An analogous scheme allows us to find an (N − 1) ←→ N interpolation.
Random unistochastic matrices
We fitted the data by a linear interpolation, as it is mostly done in Monte Carlo simulations and in experiments.
Reptation in the Rubinstein-Duke model: the influence of end-reptons dynamics
This algorithm interpolates between the algorithms of Bauer and Golinelli (A → ∞, exact minimal VCs for c0 < e) and the one of Gazmuri (A = 0, correct leading asymptotic behaviour for c0 ≫ 1).
Dynamics of heuristic optimization algorithms on random graphs
Shear viscosity data are the same as in Fig. 5; the relaxation times hτ i are interpolated to the corresponding temperatures by means of the Vogel-Fulcher fit.
Structural Relaxation and Mode Coupling in a Simple Liquid: Depolarized Light Scattering in Benzene
Figure 4.6 is a specific example of the one dimensional linear interpolation scheme, as applied to a coarse grid function consisting of a superposition of k = 3 and k = 6 Fourier modes.
Variational Principles in General Relativity
Interpolate this error onto the interior n − 3 grid points of the smaller adaptive level.
Variational Principles in General Relativity
This interpolated error, denoted as eADAP T −1 should be added to the interior solution of the smaller adaptive level via uADAP T −1 = uADAP T −1 + eADAP T −1 .
Variational Principles in General Relativity
Finally, in section 6, we study two approximation operators: a Lagrange interpolant and a quasi-interpolant which are both exact on the space IP1 of affine polynomials and whose uniform norm are uniformly bounded independently of the given partition on I .
Generalized $C^1$ quadratic B-splines generated by Merrien subdivision algorithm and some applications
In this section, we define two kinds of approximation operators: the first is a quasi-interpolant with good shape-preserving properties while the second is a Lagrange interpolant which is uniformly bounded independently of the partition.
Generalized $C^1$ quadratic B-splines generated by Merrien subdivision algorithm and some applications
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