# 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 of extrapolation
1870-1875
1870-75; extrapolat(e) + -(t)ion
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2015.
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Examples from the Web for extrapolation
Historical Examples
• Abolish, now, one of the percipients, and the interpolation changes into ‘extrapolation.’

William James
• You claim that you actually guessed where that ship was going to be, but you followed the computer's extrapolation instead?

Gordon Randall Garrett
• An extrapolation from the fact that there was vegetation below.

William Fitzgerald Jenkins
• The last three values are those obtained by extrapolation with platinum-rhodium and platinum-iridium couples.

• Abolish, now, one of the percipients, and the interpolation changes into 'extrapolation.'

William James
Word Origin and History for 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.

Online Etymology Dictionary, © 2010 Douglas Harper
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extrapolation 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.
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extrapolation in Technology

mathematics, algorithm
A mathematical procedure which estimates values of a function for certain desired inputs given values for known inputs.
If the desired input is outside the range of the known values this is called extrapolation, if it is inside then it is called interpolation.
The method works by fitting a "curve" (i.e. a function) to two or more given points and then applying this function to the required input. Example uses are calculating trigonometric functions from tables and audio waveform sythesis.
The simplest form of interpolation is where a function, f(x), is estimated by drawing a straight line ("linear interpolation") between the nearest given points on either side of the required input value:
f(x) ~ f(x1) + (f(x2) - f(x1))(x-x1)/(x2 - x1)
There are many variations using more than two points or higher degree polynomial functions. The technique can also be extended to functions of more than one input.
(2007-06-29)

The Free On-line Dictionary of Computing, © Denis Howe 2010 http://foldoc.org
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### Word Value for extrapolation

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