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  2. Series expansion - Wikipedia

    en.wikipedia.org/wiki/Series_expansion

    A Laurent series is a generalization of the Taylor series, allowing terms with negative exponents; it takes the form = and converges in an annulus. [6] In particular, a Laurent series can be used to examine the behavior of a complex function near a singularity by considering the series expansion on an annulus centered at the singularity.

  3. Lagrange inversion theorem - Wikipedia

    en.wikipedia.org/wiki/Lagrange_inversion_theorem

    Faà di Bruno's formula gives coefficients of the composition of two formal power series in terms of the coefficients of those two series. Equivalently, it is a formula for the nth derivative of a composite function. Lagrange reversion theorem for another theorem sometimes called the inversion theorem; Formal power series#The Lagrange inversion ...

  4. Colin Maclaurin - Wikipedia

    en.wikipedia.org/wiki/Colin_Maclaurin

    Maclaurin attributed the series to Brook Taylor, though the series was known before to Newton and Gregory, and in special cases to Madhava of Sangamagrama in fourteenth century India. [6] Nevertheless, Maclaurin received credit for his use of the series, and the Taylor series expanded around 0 is sometimes known as the Maclaurin series. [7]

  5. Binomial series - Wikipedia

    en.wikipedia.org/wiki/Binomial_series

    where the power series on the right-hand side of is expressed in terms of the (generalized) binomial coefficients ():= () (+)!.Note that if α is a nonnegative integer n then the x n + 1 term and all later terms in the series are 0, since each contains a factor of (n − n).

  6. List of computer simulation software - Wikipedia

    en.wikipedia.org/wiki/List_of_computer...

    Also available as Vortex Studio Essentials, a limited free version. Wolfram SystemModeler – modeling and simulation software based on the Modelica language. Visual Components - a 3D factory simulation software for manufacturing applications including layout planning, production simulation, off-line programming and PLC verification.

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  8. Euler–Maclaurin formula - Wikipedia

    en.wikipedia.org/wiki/Euler–Maclaurin_formula

    In mathematics, the Euler–Maclaurin formula is a formula for the difference between an integral and a closely related sum.It can be used to approximate integrals by finite sums, or conversely to evaluate finite sums and infinite series using integrals and the machinery of calculus.

  9. Download, install, or uninstall AOL Desktop Gold - AOL Help

    help.aol.com/articles/aol-desktop-downloading...

    Learn how to download and install or uninstall the Desktop Gold software and if your computer meets the system requirements.

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