Approximation Error

The approximation error in some data is the discrepancy between an exact value and some approximation to it. An approximation error can occur because

  1. the measurement of the data is not precise due to the instruments. (e.g., the accurate reading of a piece of paper is 4.5 cm but since the ruler does not use decimals, you round it to 5 cm.) or
  2. approximations are used instead of the real data (e.g., 3.14 instead of π).

In the mathematical field of numerical analysis, the numerical stability of an algorithm in numerical analysis indicates how the error is propagated by the algorithm.

Read more about Approximation ErrorOverview, Definitions, Instruments

Other articles related to "approximation error, errors, error":

Approximation Error - Instruments
... The limits of these deviations from the specified values are known as limiting errors or guarantee errors ...
Quasi-Monte Carlo Method - Approximation Error Bounds of Quasi-Monte Carlo
... The approximation error of the quasi-Monte Carlo method is bounded by a term proportional to the discrepancy of the set x1.. ... Specifically, the Koksma-Hlawka inequality states that the error is bounded by , where V(f) is the Hardy-Krause variation of the function f (see Morokoff and Caflisch (19 ...

Famous quotes containing the word error:

    It is an error to believe that the Roman Pontiff can and ought to reconcile himself to, and agree with, progress, liberalism, and contemporary civilization.
    Pope Pius IX (1792–1878)