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However, the first form keeps better numerical accuracy for large values of x, because squares of differences between x and x leads to less round-off than the differences between the much larger numbers Σ(x 2) and (Σx) 2. The built-in Excel function STDEVP, however, uses the less accurate formulation because it is faster computationally. [5]
Despite the use of 15-figure precision, Excel can display many more figures (up to thirty) upon user request. But the displayed figures are not those actually used in its computations, and so, for example, the difference of two numbers may differ from the difference of their displayed values. Although such departures are usually beyond the 15th ...
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The operating systems the software can run on natively (without emulation).Android and iOS apps can be optimized for Chromebooks and iPads which run the operating systems ChromeOS and iPadOS respectively, the operating optimizations include things like multitasking capabilities, large and multi-display support, better keyboard and mouse support.
The following is a list of all 52 currently known (as of January 2025) Mersenne primes and corresponding perfect numbers, along with their exponents p. The largest 18 of these have been discovered by the distributed computing project Great Internet Mersenne Prime Search , or GIMPS; their discoverers are listed as "GIMPS / name ", where the name ...
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Besides differences in the schema, there are several other differences between the earlier Office XML schema formats and Office Open XML. Whereas the data in Office Open XML documents is stored in multiple parts and compressed in a ZIP file conforming to the Open Packaging Conventions, Microsoft Office XML formats are stored as plain single monolithic XML files (making them quite large ...
Duality gap — difference between primal and dual solution; Fenchel's duality theorem — relates minimization problems with maximization problems of convex conjugates; Perturbation function — any function which relates to primal and dual problems; Slater's condition — sufficient condition for strong duality to hold in a convex ...