ALL meanings of extrapolate
- abbreviation Technical meaning of EXTRAPOLATE extrapolation 3
- noun Definition of extrapolate in Technology (mathematics, algorithm) 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. 1
- transitive verb extrapolate conclude 1
- intransitive verb extrapolate infer 1
- intransitive verb extrapolate mathematics: estimate 1
- noun extrapolate Extend the application of (a method or conclusion, especially one based on statistics) to an unknown situation by assuming that existing trends will continue or similar methods will be applicable. 1
- verb extrapolate If you extrapolate from known facts, you use them as a basis for general statements about a situation or about what is likely to happen in the future. 0
- verb extrapolate to estimate (a value of a function or measurement) beyond the values already known, by the extension of a curve 0
- verb extrapolate to infer (something not known) by using but not strictly deducing from the known facts 0
- verb transitive extrapolate to estimate or infer (a value, quantity, etc. beyond the known range) on the basis of certain variables within the known range, from which the estimated value is assumed to follow 0
- verb transitive extrapolate to arrive at (conclusions or results) by hypothesizing from known facts or observations 0
- verb transitive extrapolate to speculate as to consequences on the basis of (known facts or observations) 0
- verb extrapolate (Transitive Verb) To infer by extending known information. 0
- verb extrapolate (Transitive Verb) (mathematics) To estimate the value of a variable outside a known range from values within that range by assuming that the estimated value follows logically from the known ones. 0