Definition of Simpson's rule in English:

Simpson's rule

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  • An arithmetical rule for estimating the area under a curve where the values of an odd number of ordinates, including those at each end, are known.
    More example sentences
    • Fixation probabilities to be used in Equation 10 were calculated by numerical integration using Simpson's rule.
    • Here is a program to compute the Simpson's rule approximation to an integral, along with some examples.
    • We shall present new error inequalities for the modified Simpson's rule which quantify more precisely the error.


late 19th century: named after Thomas Simpson (1710–61), English mathematician.

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