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单词 Simpson's rule
释义

Definition of Simpson's rule in English:

Simpson's rule

noun
Mathematics
  • 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.

    Example sentencesExamples
    • We see that Simpson's rule has an error of much higher order in the small quantity h than the other rules, so that when M 4 is not too large, it is very advantageous for practical calculations.
    • Here is a program to compute the Simpson's rule approximation to an integral, along with some examples.
    • The remarkable thing about this rule is that the error is of fourth order, as it is for Simpson's rule.
    • We shall present new error inequalities for the modified Simpson's rule which quantify more precisely the error.
    • Fixation probabilities to be used in Equation 10 were calculated by numerical integration using Simpson's rule.

Origin

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

 
 

Definition of Simpson's rule in US English:

Simpson's rule

nounˈsimpsənz ˌro͞ol
Mathematics
  • 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.

    Example sentencesExamples
    • We see that Simpson's rule has an error of much higher order in the small quantity h than the other rules, so that when M 4 is not too large, it is very advantageous for practical calculations.
    • We shall present new error inequalities for the modified Simpson's rule which quantify more precisely the error.
    • 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.
    • The remarkable thing about this rule is that the error is of fourth order, as it is for Simpson's rule.

Origin

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

 
 
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更新时间:2025/2/26 13:19:13