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extrapolation

[ik-strap-uh-ley-shuh n] /ɪkˌstræp əˈleɪ ʃən/
noun
1.
an act or instance of inferring an unknown from something that is known.
2.
Statistics, Mathematics. the act or process of estimating the value of a variable or function outside the tabulated or observed range.
Origin
1870-1875
1870-75; extrapolat(e) + -(t)ion

extrapolate

[ik-strap-uh-leyt] /ɪkˈstræp əˌleɪt/
verb (used with object), extrapolated, extrapolating.
1.
to infer (an unknown) from something that is known; conjecture.
2.
Statistics. to estimate (the value of a variable) outside the tabulated or observed range.
3.
Mathematics. to estimate (a function that is known over a range of values of its independent variable) to values outside the known range.
verb (used without object), extrapolated, extrapolating.
4.
to perform extrapolation.
Origin
1825-35; extra- + (inter)polate
Related forms
extrapolation, noun
extrapolative, extrapolatory
[ik-strap-uh-luh-tawr-ee, -tohr-ee] /ɪkˈstræp ə ləˌtɔr i, -ˌtoʊr i/ (Show IPA),
adjective
extrapolator, noun
overextrapolation, noun
Can be confused
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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British Dictionary definitions for extrapolations

extrapolate

/ɪkˈstræpəˌleɪt/
verb
1.
(maths) to estimate (a value of a function or measurement) beyond the values already known, by the extension of a curve Compare interpolate (sense 4)
2.
to infer (something not known) by using but not strictly deducing from the known facts
Derived Forms
extrapolation, noun
extrapolative, extrapolatory, adjective
extrapolator, noun
Word Origin
C19: extra- + -polate, as in interpolate
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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Word Origin and History for extrapolations

extrapolation

n.

by 1867, from extra- + back half of interpolation; original sense was "insert intermediate terms in a mathematical series." Transferred sense of "drawing a conclusion about the future based on present tendencies" is from 1889. Cf. extrapolate.

extrapolate

v.

1874, a back-formation from extrapolation by analogy of interpolate. Said in early references to be an expression of Sir George Airy (1801-1892), English mathematician and astronomer. Related: Extrapolated; extrapolating.

Online Etymology Dictionary, © 2010 Douglas Harper
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extrapolations in Science
extrapolate
  (ĭk-strāp'ə-lāt')   
To estimate the value of a quantity that falls outside the range in which its values are known.
The American Heritage® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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extrapolations in Culture
extrapolation [(ik-strap-uh-lay-shuhn)]

A mathematical procedure designed to enable one to estimate unknown values of a parameter from known values. A common method of extrapolation is to look at data on a curve, then extend the curve into regions for which there is no data. Extrapolation is often used to predict the future.

The American Heritage® New Dictionary of Cultural Literacy, Third Edition
Copyright © 2005 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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