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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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