Extrapolation method definition of Extrapolation method in the Free Online Encyclopedia.

extrapolation [ik‚strap·ə′lā·shən]

(mathematics)

Estimating a function at a point which is larger than (or smaller than) all the points at which the value of the function is known.

(mathematics, algorithm)

extrapolation - 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.

Extrapolation

in mathematics and statistics, the approximate determination of the values of a function f(x) at points x lying outside the interval [x₀, x_n] on the basis of the function’s values at the points x₀ < x₁ <... < x_n In parabolic extrapolation, which is the most widely encountered type, the value of f(x) at x is approximated by the value of a polynomial P_n(x ) of degree n that assumes at the n + 1 points x_i the specified values y_i = f (x_i). Interpolation formulas are used for parabolic extrapolation.

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No references found	The neutron lifetime is measured with the size extrapolation method using two sizes of UCN trap. Measurement of the neutron lifetime using a gravitational trap and a ... by Zherebtsov, O. / Journal of Research of the National Institute of Standards and Technology This risk assessment was based on the standard low-dose linear extrapolation method (U. No evidence of dioxin cancer threshold by Thomas, Valerie / Environmental Health Perspectives What these methods have demonstrated is that simple extrapolation methods or the application of the housing unit method can be at least as accurate for short-term projections as the more rigorous, complex models. Small area population forecasting. (Features) by Foss, Wayne / Appraisal Journal	extraneous emission extraneous light extraneous response Extraneous Root extranet Extranet Access Client Extranormal Phonetics Extraordinary Extraordinary All-Russian Congress of Soviets of Peasants Deputies Extraordinary and Increased Security Extraordinary Budget extraordinary component Extraordinary Eighth Congress of Soviets of the USSR Extraordinary Fourth All-Russian Congress of Soviets of Workers, extraordinary index extraordinary ray Extraordinary Seventeenth All-Russian Congress of Soviets Extraordinary Sixth All-Russian Congress of Soviets of Workers, extraordinary wave Extraplan Profit extrapolate extrapolated boundary Extrapolation extrapolation distance extrapolation ionization chamber Extrapolation method Extrapyramidal System extrasensory perception extrasolar planet Extrasystole Extraterrestrial Astronomy Extraterrestrial Civilizations extraterrestrial intelligence extraterrestrial noise Extraterrestrial Observatories extraterrestrial radiation Extraterritorial Concessions extraterritoriality extratropical cyclone extratropical low extratropical storm Extrauterine Pregnancy Extravagance extravaganza Extravasation extravehicular activity Extrazonal Vegetation Extremadura extremals extreme extreme and mean ratio	extrapleural fascia extrapleural fascia extrapleural fascia Extrapleural Lung Volume Reduction extrapleural pneumothorax extrapolate extrapolate extrapolate extrapolate extrapolate from extrapolated extrapolated extrapolated extrapolated boundary Extrapolated Endpoint Method Extrapolated Withdrawal-interval Estimator extrapolates extrapolates extrapolates extrapolating extrapolating extrapolating extrapolation extrapolation extrapolation extrapolation distance extrapolation ionization chamber extrapolation ionization chamber extrapolation ionization chamber extrapolation ionization chamber Extrapolation method Extrapolation methods Extrapolation methods Extrapolation methods extrapolations extrapolations extrapolations Extrapolations-To-Zero extrapolative extrapolative extrapolative Extrapolative Statistical Model Extrapolative statistical models extrapolator extrapolator extrapolator extrapolators extrapolators extrapolators extraposition Extraprise Activity Management Extraprofessional Extraprostatic Extension Extraprovincial extrapsychic extrapsychic conflict extrapsychic conflict extrapsychic conflict extrapsychic conflict Extrapulmonary Extrapulmonary

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The neutron lifetime is measured with the size extrapolation method using two sizes of UCN trap.

Measurement of the neutron lifetime using a gravitational trap and a ... by Zherebtsov, O. / Journal of Research of the National Institute of Standards and Technology

This risk assessment was based on the standard low-dose linear extrapolation method (U.

No evidence of dioxin cancer threshold by Thomas, Valerie / Environmental Health Perspectives

What these methods have demonstrated is that simple extrapolation methods or the application of the housing unit method can be at least as accurate for short-term projections as the more rigorous, complex models.

Small area population forecasting. (Features) by Foss, Wayne / Appraisal Journal

Extranet Access Client

Extranormal Phonetics

Extraordinary

Extraordinary All-Russian Congress of Soviets of Peasants Deputies

Extraordinary and Increased Security

Extraordinary Budget