Interpolation vs. Extrapolation

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Interpolationnoun

(music) An abrupt change in elements, with continuation of the first idea.

Interpolationnoun

The process of estimating the value of a function at a point from its values at nearby points.

Interpolationnoun

(computing) The process of including and processing externally-fetched data in a document or program; see interpolate.

Interpolationnoun

That which is introduced or inserted; in contexts of content analysis of centuries-old texts, especially something foreign or spurious.

Interpolationnoun

(music) The use of a melody from a previously recorded song, but recreated rather than sampled from that recording.

Interpolationnoun

The act of introducing or inserting anything, especially that which is spurious or foreign.

Interpolationnoun

That which is introduced or inserted, especially something foreign or spurious.

Interpolationnoun

The method or operation of finding from a few given terms of a series, as of numbers or observations, other intermediate terms in conformity with the law of the series.

Interpolationnoun

a message (spoken or written) that is introduced or inserted;

Interpolationnoun

(mathematics) calculation of the value of a function between the values already known

Interpolationnoun

the action of interjecting or interposing an action or remark that interrupts

Interpolation

In the mathematical field of numerical analysis, interpolation is a type of estimation, a method of constructing (finding) new data points based on the range of a discrete set of known data points.In engineering and science, one often has a number of data points, obtained by sampling or experimentation, which represent the values of a function for a limited number of values of the independent variable. It is often required to interpolate; that is, estimate the value of that function for an intermediate value of the independent variable.

Extrapolationnoun

(mathematics) A calculation of an estimate of the value of some function outside the range of known values.

Extrapolationnoun

An inference about some hypothetical situation based on known facts.

Extrapolationnoun

(music) The diametric opposite of interpolation.

Extrapolationnoun

(mathematics) calculation of the value of a function outside the range of known values

Extrapolationnoun

an inference about the future (or about some hypothetical situation) based on known facts and observations

Extrapolation

In mathematics, extrapolation is a type of estimation, beyond the original observation range, of the value of a variable on the basis of its relationship with another variable. It is similar to interpolation, which produces estimates between known observations, but extrapolation is subject to greater uncertainty and a higher risk of producing meaningless results.

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