# extrapolations

## extrapolation

[ik-strap-uh-ley-shuhn]
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:
1870–75; extrapolat(e) + -(t)ion

Dictionary.com Unabridged

## extrapolate

[ik-strap-uh-leyt]
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

extrapolation, noun
extrapolative, extrapolatory [ik-strap-uh-luh-tawr-ee, -tohr-ee] , adjective
extrapolator, noun
overextrapolation, noun

deduction, extrapolation, induction, generalization, hypothesis.
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
 extrapolate (ɪkˈstræpəˌleɪt) —vb 1. maths Compare interpolate to estimate (a value of a function or measurement) beyond the values already known, by the extension of a curve 2. to infer (something not known) by using but not strictly deducing from the known facts [C19: extra- + -polate, as in interpolate] extrapo'lation —n ex'trapolative —adj ex'trapolatory —adj ex'trapolator —n

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
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Etymonline
Word Origin & History

extrapolation
coined 1872 from extra + (inter)polation; 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.

extrapolate
1874, a back formation from extrapolation. Said in earliest reference to be "an expression of Sir George Airy" (18011892), English mathematician and astronomer. Related: Extrapolated; extrapolating.
Online Etymology Dictionary, © 2010 Douglas Harper
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American Heritage
Science Dictionary
 extrapolate   (ĭk-strāp'ə-lāt')  Pronunciation Key  To estimate the value of a quantity that falls outside the range in which its values are known.
The American Heritage® Science Dictionary
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American Heritage
Cultural Dictionary
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
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