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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 diagram - Wikipedia

    en.wikipedia.org/wiki/Taylor_diagram

    One of the main limitation of the Taylor diagram is the absence of explicit information about model biases. One approach suggested by Taylor (2001) was to add lines, whose length is equal to the bias to each data point. An alternative approach, originally described by Elvidge et al., 2014 [17], is to show the bias of the models via a color ...

  4. MHV amplitudes - Wikipedia

    en.wikipedia.org/wiki/MHV_Amplitudes

    MHV amplitudes may be calculated very efficiently by means of the Parke–Taylor formula. Although developed for pure gluon scattering, extensions exist for massive particles, scalars (the Higgs ) and for fermions ( quarks and their interactions in QCD ).

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

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

    To find a second-order approximation for the covariance of functions of two random variables (with the same function applied to both), one can proceed as follows.

  6. Taylor series - Wikipedia

    en.wikipedia.org/wiki/Taylor_series

    That is, the Taylor series diverges at x if the distance between x and b is larger than the radius of convergence. The Taylor series can be used to calculate the value of an entire function at every point, if the value of the function, and of all of its derivatives, are known at a single point. Uses of the Taylor series for analytic functions ...

  7. Deck the halls (extra carefully): Common Christmas injuries ...

    www.aol.com/deck-halls-extra-carefully-common...

    Of the four Christmas product groups, nonelectric decor — like tree baubles, stockings or wreaths — was tied to about 8,000 average trips to the emergency department every year over the past ...

  8. Analytic function - Wikipedia

    en.wikipedia.org/wiki/Analytic_function

    Analytic functions of several variables have some of the same properties as analytic functions of one variable. However, especially for complex analytic functions, new and interesting phenomena show up in 2 or more complex dimensions: Zero sets of complex analytic functions in more than one variable are never discrete.

  9. FDA may finally ban artificial red food dye from foods - AOL

    www.aol.com/fda-may-finally-ban-artificial...

    The law will ban six of the nine FDA-approved artificial food dyes –– Red No. 40, Yellow No. 5, Yellow No. 6, Blue No. 1, Blue No. 2 and Green No. 3 –– in public school food and drinks by ...

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