Euler-Maclaurin formula

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Euler-Maclaurin formula [¦ȯi·lər mə′klȯr·ən ‚fȯr·myə·lə]

(mathematics)

A formula used in the numerical evaluation of integrals, which states that the value of an integral is equal to the sum of the value given by the trapezoidal rule and a series of terms involving the odd-numbered derivatives of the function at the end points of the interval over which the integral is evaluated.

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No references found			15), however, the Euler-Maclaurin formula may be used to obtain a more easily evaluated, asymptotic expression for Q(A): Q(A) = 4[zeta](3)/[pi][A. Fraunhofer diffraction effects on total power for a planckian source by Shirley, Eric L. / Journal of Research of the National Institute of Standards and Technology			Euler Number Euler number 1 Euler number 2 Euler Numbers Euler Phi-Function Euler Substitutions Euler transformation Euler's Constant Euler's criterion Euler's Equation Euler's Equations Euler's equations of motion Euler's expansion Euler's Formula Euler's Integral Euler's numbers Euler's phi function Euler's spiral Euler's theorem Euler, Leonhard Euler, Ulf Svante Von Euler-Chelpin Euler-Chelpin, Hans Karl August Simon Von Euler-Fourier Formulas Euler-Lagrange equation Euler-Maclaurin formula Euler-Maclaurin Summation Formula Euler-Rodrigues parameter Eulerian coordinates Eulerian correlation Eulerian description Eulerian equation Eulerian graph Eulerian nutation Eulerian path Eulerian wind Euless Euli, Sandro EuLisp eulittoral eulogy Eulophidae eulytine eulytite Eumaeus Eumalacostraca Eumelus Eumenes Eumenes II Eumenides Eumetazoa			Euler's method Euler's numbers Euler's phi function Euler's polyhedron formula Euler's polyhedron theorem Euler's quadratic residue theorem Euler's spiral Euler's summation formula Euler's theorem Euler's theorem on homogeneous functions Euler's totient function Euler's totient rule Euler's totient theorem Euler, Leonhard Euler, Leonhard Euler, Leonhard Euler, Ulf Svante von Euler, Ulf Svante von Euler, Ulf Svante von Euler-Chelpin Euler-Chelpin Euler-Chelpin, Hans Karl August Simon von Euler-Chelpin, Hans Karl August Simon von Euler-Fermat theorem Euler-Fourier Formulas Euler-Lagrange Derivative Euler-Lagrange differential equation Euler-Lagrange differential equations Euler-Lagrange equation Euler-Lagrange equations Euler-Maclaurin formula Euler-Maclaurin integration formulas Euler-Maclaurin sum formula Euler-MacLaurin summation Euler-Maclaurin summation formula Euler-Poincare characteristic Euler-Poincaré characteristic Euler-Rodrigues Parameter Euler-Rodrigues Parameter Euler-Venn Diagram Eulerian Eulerian angles Eulerian circuit Eulerian Coordinates Eulerian correlation Eulerian cycle Eulerian description Eulerian equation Eulerian graph Eulerian integrals Eulerian method Eulerian Model Evaluation Field Study Eulerian nutation Eulerian path Eulerian path Eulerian tour Eulerian trail

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