Approximation error: Difference between revisions

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The '''approximation error''' in some data is the discrepancy between an exact value and some approximation to it. An approximation error can occur because:
#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
#approximations
#approximations are used instead of the real data (e.g., 3.14 instead of [[pi|π]]).
 
In the [[mathematics|mathematical]] field of [[numerical analysis]], the [[numerical stability]] of an [[algorithm]] indicates how the error is propagated by the algorithm.