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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
  • What is Extrapolation? - GeeksforGeeks
    Extrapolation is a statistical technique used to estimate or predict values beyond the range of observed data It involves extending a trend or pattern observed in existing data to make predictions about future or unseen data points
  • Interpolation vs. Extrapolation: Whats the Difference? - Statology
    This tutorial explains the difference between interpolation and extrapolation in statistics, including several examples
  • Extrapolation Calculator - DQYDJ
    This extrapolation calculator fits your data points to multiple trend models and forecasts future values — with six methods including linear, exponential, and some Climbing Limo techniques for forecasting
  • EXTRAPOLATE Definition Meaning - Merriam-Webster
    Party officials extrapolated public sentiment on one issue from known public reaction on others Researchers extrapolate present trends to construct an image of the future Did you know?
  • 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
  • What Is Extrapolation? (Definition, Benefits, How to Use) | Built In
    Extrapolation is a statistical method that uses existing data to predict future or unknown values that fall outside the range of the existing data It’s particularly useful for geospatial and time series analysis
  • Extrapolation Calculator - Calculator Academy
    Extrapolation is the process of estimating a value outside the range of known data points by extending the observed trend In the linear case, it assumes the slope between two known points continues at the same rate beyond either endpoint
  • 12. 8 - Extrapolation | STAT 501 - Statistics Online
    " Extrapolation " beyond the " scope of the model " occurs when one uses an estimated regression equation to estimate a mean μ Y or to predict a new response y n e w for x values not in the range of the sample data used to determine the estimated regression equation
  • Linear interpolation calculator - John D. Cook
    Online calculator for linear interpolation and extrapolation Given two (x, y) pairs and an additional x or y, compute the missing value





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