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  2. Taylor's theorem - Wikipedia

    en.wikipedia.org/wiki/Taylor's_theorem

    Taylor's theorem is named after the mathematician Brook Taylor, who stated a version of it in 1715, [2] although an earlier version of the result was already mentioned in 1671 by James Gregory. [3] Taylor's theorem is taught in introductory-level calculus courses and is one of the central elementary tools in mathematical analysis.

  3. Taylor expansions for the moments of functions of random ...

    en.wikipedia.org/wiki/Taylor_expansions_for_the...

    In probability theory, it is possible to approximate the moments of a function f of a random variable X using Taylor expansions, provided that f is sufficiently differentiable and that the moments of X are finite.

  4. Taylor series - Wikipedia

    en.wikipedia.org/wiki/Taylor_series

    The function e (−1/x 2) is not analytic at x = 0: the Taylor series is identically 0, although the function is not. If f ( x ) is given by a convergent power series in an open disk centred at b in the complex plane (or an interval in the real line), it is said to be analytic in this region.

  5. First-order second-moment method - Wikipedia

    en.wikipedia.org/wiki/First-order_second-moment...

    For the second-order approximations of the third central moment as well as for the derivation of all higher-order approximations see Appendix D of Ref. [3] Taking into account the quadratic terms of the Taylor series and the third moments of the input variables is referred to as second-order third-moment method. [4]

  6. Doctors Say This Nighttime Behavior Can Be A Sign Of Dementia

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    However, Dr. Kobylarz notes it can start as early as 1 p.m. for some people. What Sundowning Looks Like . There’s a difference between being totally over your day and sundowning. In addition to ...

  7. Formal power series - Wikipedia

    en.wikipedia.org/wiki/Formal_power_series

    A formal power series can be loosely thought of as an object that is like a polynomial, but with infinitely many terms.Alternatively, for those familiar with power series (or Taylor series), one may think of a formal power series as a power series in which we ignore questions of convergence by not assuming that the variable X denotes any numerical value (not even an unknown value).

  8. Barn Cat Blows Off Work To Hang With Senior Horse Best ... - AOL

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    In this video, we meet Peaches, an average barn cat who doesn’t mind blowing off work to chill with her BFF, a senior horse.Though Peaches was adopted and given a home in this family’s barn to ...

  9. 10 of the best Trader Joe's products for a holiday party ...

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    Private chef Mila Furman shared her top Trader Joe's picks for holiday entertaining.. Furman, a Chicago-based chef, has shopped at Trader Joe's for over 20 years. Her recommendations include ...