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extrapolation 音標拼音: [ɪkstr,æpəl'eʃən] n. 外推法,推斷 外推法,推斷 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 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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