Extrapolation is an academic journal covering speculative fiction, established in 1959. It was the first journal in its field and is published by Liverpool University Press.

<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) extrapolation 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)

(extrapolates, extrapolating, extrapolated)

extrapolation

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. It is similar to interpolation, which produces estimates between known observations, but extrapolation is subject to greater uncertainty and a higher risk of producing meaningless results.

A graphical password or graphical user authentication is a form of authentication using images rather than letters, digits, or special characters. The type of images used and the ways in which users interact with them vary between implementations.

Statistical graphics, also known as statistical graphical techniques, are graphics used in the field of statistics for data visualization.