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  2. Numeric precision in Microsoft Excel - Wikipedia

    en.wikipedia.org/wiki/Numeric_precision_in...

    Excel's storage of numbers in binary format also affects its accuracy. [3] To illustrate, the lower figure tabulates the simple addition 1 + x − 1 for several values of x. All the values of x begin at the 15 th decimal, so Excel must take them into account. Before calculating the sum 1 + x, Excel first approximates x as a binary number

  3. Generating function - Wikipedia

    en.wikipedia.org/wiki/Generating_function

    Unlike an ordinary series, the formal power series is not required to converge: in fact, the generating function is not actually regarded as a function, and the "variable" remains an indeterminate. One can generalize to formal power series in more than one indeterminate, to encode information about infinite multi-dimensional arrays of numbers.

  4. List of mathematical series - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_series

    An infinite series of any rational function of can be reduced to a finite series of polygamma functions, by use of partial fraction decomposition, [8] as explained here. This fact can also be applied to finite series of rational functions, allowing the result to be computed in constant time even when the series contains a large number of terms.

  5. Power series - Wikipedia

    en.wikipedia.org/wiki/Power_series

    In mathematics, a power series (in one variable) is an infinite series of the form = = + + + … where represents the coefficient of the nth term and c is a constant called the center of the series. Power series are useful in mathematical analysis , where they arise as Taylor series of infinitely differentiable functions .

  6. Formal group law - Wikipedia

    en.wikipedia.org/wiki/Formal_group_law

    The height of a one-dimensional formal group law over a field of characteristic p > 0 is defined to be the height of its multiplication by p map. Two one-dimensional formal group laws over an algebraically closed field of characteristic p > 0 are isomorphic if and only if they have the same height, and the height can be any positive integer or ∞.

  7. Power Pivot - Wikipedia

    en.wikipedia.org/wiki/Power_Pivot

    Prior to the release of Power Pivot, the engine for Microsoft's Business Intelligence suite was exclusively contained within SQL Server Analysis Services.In 2006, an initiative was launched by Amir Netz of the SQL Server Reporting Services team at Microsoft, codenamed Project Gemini, with the goal of making the analytical features of SSAS available within Excel.

  8. Restricted power series - Wikipedia

    en.wikipedia.org/wiki/Restricted_power_series

    In algebra, the ring of restricted power series is the subring of a formal power series ring that consists of power series whose coefficients approach zero as degree goes to infinity. [1] Over a non-archimedean complete field , the ring is also called a Tate algebra .

  9. Tetration - Wikipedia

    en.wikipedia.org/wiki/Tetration

    In mathematics, tetration (or hyper-4) is an operation based on iterated, or repeated, exponentiation. There is no standard notation for tetration, though Knuth's up arrow notation ↑ ↑ {\displaystyle \uparrow \uparrow } and the left-exponent x b {\displaystyle {}^{x}b} are common.