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For example, AVERAGE=SUM/COUNT and RANGE=MAX−MIN. In the MapReduce framework, these steps are known as InitialReduce (value on individual record/singleton set), Combine (binary merge on two aggregations), and FinalReduce (final function on auxiliary values), [ 5 ] and moving decomposable aggregation before the Shuffle phase is known as an ...
The ability to chain formulas together is what gives a spreadsheet its power. Many problems can be broken down into a series of individual mathematical steps, and these can be assigned to individual formulas in cells. Some of these formulas can apply to ranges as well, like the SUM function that adds up all the numbers within a range.
The range is a specific example of order statistics. In particular, the range is a linear function of order statistics, which brings it into the scope of L-estimation . See also
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The main objective of interval arithmetic is to provide a simple way of calculating upper and lower bounds of a function's range in one or more variables. These endpoints are not necessarily the true supremum or infimum of a range since the precise calculation of those values can be difficult or impossible; the bounds only need to contain the function's range as a subset.
Worst case is the function which performs the maximum number of steps on input data of size n. Average case is the function which performs an average number of steps on input data of n elements. In real-time computing , the worst-case execution time is often of particular concern since it is important to know how much time might be needed in ...
Range of a function, a set containing the output values produced by a function; Range (statistics), the difference between the highest and the lowest values in a set; Interval (mathematics), also called range, a set of real numbers that includes all numbers between any two numbers in the set; Column space, also called the range of a matrix, is ...
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