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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.
Power Pivot, formerly known as PowerPivot (without spacing), is a self-service business intelligence feature of Microsoft Excel which facilitates the creation of a tabular model to import, relate, and analyze data from a variety of sources.
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 .
In most implementations, many worksheets may be located within a single spreadsheet. A worksheet is simply a subset of the spreadsheet divided for the sake of clarity. Functionally, the spreadsheet operates as a whole and all cells operate as global variables within the spreadsheet (each variable having 'read' access only except its containing ...
Excel 4.0 was the first application to support new AppleScript. [175] Microsoft Office 4.2 for Mac was released in 1994. (Version 4.0 was skipped to synchronize version numbers with Office for Windows) Version 4.2 included Word 6.0, Excel 5.0, PowerPoint 4.0 and Mail 3.2. [183] It was the first Office suite for Power Macintosh. [175]
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 ...
[2] The Pochhammer symbol , introduced by Leo August Pochhammer , is the notation ( x ) n {\displaystyle (x)_{n}} , where n is a non-negative integer . It may represent either the rising or the falling factorial, with different articles and authors using different conventions.
The Radius of Convergence section of the Power Series page now says "A power series will converge for some values of the variable x and may diverge for others", which completely ignores to specify WHAT THING the power series is converging towards! A power series can converge to a) a finite number, b) an analytical function, c) zero, d) infinity ...