simpson's rule

simpson's rule
noun
Usage: usually capitalized S
Etymology: after Thomas Simpson died 1761 English mathematician
: a method used especially by naval architects for computing the approximate area bounded by a curve by adding the areas of a series of figures formed from an odd number of equally spaced ordinates to the curve and parabolas drawn through the points where these ordinates cut the curve

Useful english dictionary. 2012.

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  • Simpson's rule — can be derived by approximating the integrand f (x) (in blue) by the quadratic interpolant P (x) (in red). In numerical analysis, Simpson s rule is a method for numerical integration, the numerical approximation of definite integrals.… …   Wikipedia

  • Simpson's rule — noun Etymology: Thomas Simpson died 1761 English mathematician Date: circa 1875 a method for approximating the area under a curve over a given interval that involves partitioning the interval by an odd number n + 1 of equally spaced ordinates and …   New Collegiate Dictionary

  • Simpson's rule — Math. a method for approximating the value of a definite integral by approximating, with parabolic arcs, the area under the curve defined by the integrand. [1895 1900; named after Thomas Simpson (1710 61), English mathematician] * * * …   Universalium

  • Simpson — may refer to:* Simpson (name)In places:*In Australia: **Simpson Desert*In Canada: **Simpson, Saskatchewan*In the United Kingdom **Simpson, Buckinghamshire* In the United States **Simpson, Illinois **Simpson, Indiana **Simpson, Kansas **Simpson,… …   Wikipedia

  • Simpson , Thomas — (1710–1761) British mathematician The son of a weaver from Market Bosworth in Leicestershire, Simpson was largely self educated. His mathematical interests were aroused when a peddler gave him a copy of the popular textbook, Cocker s Arithmetic.… …   Scientists

  • Simpson's paradox — (or the Yule Simpson effect) is a statistical paradox wherein the successes of groups seem reversed when the groups are combined. This result is often encountered in social and medical science statistics [cite journal title = Simpson s Paradox in …   Wikipedia

  • Simpson's-in-the-Strand — is one of London s most renowned traditional English restaurants, and banqueting suites. Situated in one of the capital s famous streets, The Strand, it is part of the Savoy Buildings, which include possibly the world s most famous hostelry, the… …   Wikipedia

  • Adaptive Simpson's method — Adaptive Simpson s method, also called adaptive Simpson s rule, is a method of numerical integration proposed by William M. McKeeman in 1962.William M. McKeeman: Algorithm 145: Adaptive numerical integration by Simpson s rule. Commun. ACM 5(12):… …   Wikipedia

  • Trapezoidal rule — This article is about the quadrature rule for approximating integrals. For the Explicit trapezoidal rule for solving initial value problems, see Heun s method. The function f(x) (in blue) is approximated by a linear function (in red). In… …   Wikipedia

  • Thomas Simpson — (August 20, 1710 ndash; May 14, 1761) was a British mathematician, inventor and eponym of Simpson s rule to approximate definite integrals. However, this rule was also found 200 years earlier from Johannes Kepler, in the so called Keplersche… …   Wikipedia

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