| 释义 |
extrapolation
ex·trap·o·late E0302000 (ĭk-străp′ə-lāt′)v. ex·trap·o·lat·ed, ex·trap·o·lat·ing, ex·trap·o·lates v.tr.1. To infer or estimate by extending or projecting known information.2. Mathematics To estimate (a value of a variable outside a known range) from values within a known range by assuming that the estimated value follows logically from the known values.v.intr. To engage in the process of extrapolating.
[extra- + (inter)polate.]
ex·trap′o·la′tion n.ex·trap′o·la′tive adj.ex·trap′o·la′tor n.Thesaurus| Noun | 1. | extrapolation - (mathematics) calculation of the value of a function outside the range of known valuesfiguring, reckoning, calculation, computation - problem solving that involves numbers or quantitiesmath, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement | | 2. | extrapolation - an inference about the future (or about some hypothetical situation) based on known facts and observationsillation, inference - the reasoning involved in drawing a conclusion or making a logical judgment on the basis of circumstantial evidence and prior conclusions rather than on the basis of direct observation |
Translationsextrapolation
extrapolation[ik‚strap·ə′lā·shən] (mathematics) Estimating a function at a point which is larger than (or smaller than) all the points at which the value of the function is known. Extrapolation in mathematics and statistics, the approximate determination of the values of a function f(x) at points x lying outside the interval [x0, xn] on the basis of the function’s values at the points x0 < x1 <...>xn In parabolic extrapolation, which is the most widely encountered type, the value of f(x) at x is approximated by the value of a polynomial Pn(x ) of degree n that assumes at the n + 1 points xi the specified values yi = f (xi). Interpolation formulas are used for parabolic extrapolation. extrapolation (mathematics, algorithm)A mathematical procedure whichestimates values of a function for certain desired inputsgiven values for known inputs.
If the desired input is outside the range of the known valuesthis is called extrapolation, if it is inside then it iscalled interpolation.
The method works by fitting a "curve" (i.e. a function) to twoor more given points and then applying this function to therequired 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 ("linearinterpolation") between the nearest given points on eitherside 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 higherdegree polynomial functions. The technique can also beextended to functions of more than one input.extrapolation
extrapolation [ek-strap″o-la´shun] inference of one or more unknown values on the basis of that which is known or has been observed; usually applied to estimation beyond the upper and lower ranges of observed data as opposed to interpolation between data points.extrapolation the estimation of a value beyond a given series, for example, the extension of the line of a graph beyond the calculated points.FinancialSeeextrapolateextrapolation
Words related to extrapolationnoun (mathematics) calculation of the value of a function outside the range of known valuesRelated Words- figuring
- reckoning
- calculation
- computation
- math
- mathematics
- maths
noun an inference about the future (or about some hypothetical situation) based on known facts and observationsRelated Words |