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extrapolation    音标拼音: [ɪkstr,æpəl'eʃən]
n. 外推法,推断

外推法,推断

extrapolation
外插; 外推法

extrapolation
n 1: (mathematics) calculation of the value of a function
outside the range of known values
2: an inference about the future (or about some hypothetical
situation) based on known facts and observations

60 Moby Thesaurus words for "extrapolation":
accession, accessory, accompaniment, actualization, addenda,
addendum, additament, addition, additive, additory, additum,
adjunct, adjuvant, annex, annexation, appanage, appendage,
appendant, approximation, appurtenance, appurtenant, attachment,
augment, augmentation, coda, complement, concomitant, continuation,
corollary, differentiation, division, equation, evolution,
extension, exteriorization, externalization, fixture, increase,
increment, integration, interpolation, inversion, involution,
multiplication, notation, objectification, offshoot, pendant,
practice, projection, proportion, reduction, reinforcement,
side effect, side issue, subtraction, supplement, tailpiece,
transformation, undergirding

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)


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  • Extrapolation - Wikipedia
    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 Extrapolation may also mean
  • Extrapolation Interpolation: Definition, Examples - Statistics How To
    What are extrapolation and interpolation? What they are used for in calculus and in statistics Simple definitions, with examples
  • What is Extrapolation? - GeeksforGeeks
    Extrapolation is a method used in mathematics, statistics, and science to estimate values beyond a known range It involves using existing data to predict future values or to estimate unknown values within a dataset In this article, we learn more about extrapolation along with it's importance, techniques and advantages
  • EXTRAPOLATE Definition Meaning - Merriam-Webster
    The meaning of EXTRAPOLATE is to predict by projecting past experience or known data How to use extrapolate in a sentence The Many Uses of <span class='mwtparahw
  • What Is Extrapolation: How It Works and Its Risks
    Extrapolation is the process of estimating a value that falls outside the range of data you already have If you know a trend based on existing observations, extrapolation extends that trend forward (or backward) to predict something you haven’t yet measured It’s how economists forecast next year’s GDP, how scientists estimate safe drug doses for humans based on animal studies, and how
  • What Is Extrapolation? (Definition, Benefits, How to Use) | Built In
    Extrapolation is a statistical technique used in data science to estimate values of data points beyond the known data set
  • Extrapolations (TV series) - Wikipedia
    Extrapolations is an American anthology television miniseries created by Scott Z Burns for Apple TV+ The series premiered on March 17, 2023 [1][2]
  • Interpolation vs. Extrapolation: Whats the Difference? - Statology
    This tutorial explains the difference between interpolation and extrapolation in statistics, including several examples
  • EXTRAPOLATION | English meaning - Cambridge Dictionary
    EXTRAPOLATION definition: 1 the process of using information that is already known to guess or think about what might… Learn more
  • What Is Interpolation and Extrapolation, Explained
    Interpolation estimates within known data; extrapolation reaches beyond it Learn how each method works and when one is riskier than the other





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