different between interpolation vs extrapolation

English

Etymology

From French interpolation, from Latin interpolatio.Morphologically interpolate +? -ion

Pronunciation

• IPA^(key): /?n?t??(?)p??le???n/
• Rhymes: -e???n

Noun

interpolation (countable and uncountable, plural interpolations)

1. (music) An abrupt change in elements, with continuation of the first idea.
2. (mathematics, sciences) The process of estimating the value of a function at a point from its values at nearby points.
3. (computing) The process of including and processing externally-fetched data in a document or program; see interpolate.
4. That which is introduced or inserted, especially something foreign or spurious.
   • 1830, Thomas De Quincey, Life of Richard Bentley

     Bentley wrote a letter […] upon the scriptural glosses in our present copies of Hesychius, which he considered interpolations from a later hand.

Synonyms

• (including and processing externally-fetched data): transclusion

Related terms

• interpolate
• interpolary

Derived terms

Translations

English

Etymology

From extrapolate +? -ationMorphologically extrapolate +? -ion

Pronunciation

• Rhymes: -e???n

Noun

extrapolation (countable and uncountable, plural extrapolations)

1. (mathematics) A calculation of an estimate of the value of some function outside the range of known values.
2. An inference about some hypothetical situation based on known facts.
   • 2018, Suzannah Weiss, The Establishment, What A Fake ‘Female Orgasm’ Statistic Says About Gender Bias

     Casting further doubt on Kerner’s extrapolations from Gebhard’s data, it’s unclear what happened during those 21 minutes of foreplay. Blow jobs? Kissing? Role-playing? We don’t know.

3. (music) The diametric opposite of interpolation.

Derived terms

• nonextrapolation
• overextrapolation
• underextrapolation

Related terms

• extrapolative
• extrapolatory
• interpolation

Translations

French

Pronunciation

Noun

extrapolation f (plural extrapolations)

1. extrapolation

Further reading

• “extrapolation” in Trésor de la langue française informatisé (The Digitized Treasury of the French Language).

Swedish

Noun

extrapolation c

1. an extrapolation; inference of a hypothetical situation.

Declension

See also

• extrapolera
• extrapolering