Today's Word of the Day means...

[ik-strap-uh-ley-shuh n]
/ɪkˌstræp əˈleɪ ʃən/

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

Dictionary.com Unabridged

Based on the Random House Dictionary, © Random House, Inc. 2014.

Cite This Source

Based on the Random House Dictionary, © Random House, Inc. 2014.

Cite This Source

Examples for extrapolation

- But his statistical
*extrapolation*suggests that it would not be easy. - Instead, the report's centerpiece is an odd
*extrapolation*of the supply-and-demand theory to college education. - The
*extrapolation*process is much more useful in the long term than the plug and play process. - Four years and five billion dollars later, the
*extrapolation*seems premature. - And simple
*extrapolation*from their results to demands for across-the-board austerity isn't a wise approach. - Current estimates by government agencies for risks from low doses rely on
*extrapolation*from higher doses. - Beware of exponential
*extrapolation*in a finite world. - Whatever the limits of
*extrapolation*from this magazine, this much is clear. - Some
*extrapolation*based on sampling seems necessary here. - Even with chimps, it is a big
*extrapolation*from them to us.

Word Origin and History for extrapolation

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.

Online Etymology Dictionary, © 2010 Douglas Harper

Cite This Source

Cite This Source

extrapolation in Culture

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.

Cite This Source

Copyright © 2005 by Houghton Mifflin Company.

Published by Houghton Mifflin Company. All rights reserved.

Cite This Source

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)

22

0

Scrabble
Words With Friends