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.
〔数〕辛普森公式
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.
〔数〕辛普森公式
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.

词汇	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. 〔数〕辛普森公式 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. 〔数〕辛普森公式 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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