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Aggregate functions present a bottleneck, because they potentially require having all input values at once.In distributed computing, it is desirable to divide such computations into smaller pieces, and distribute the work, usually computing in parallel, via a divide and conquer algorithm.
In functional programming, fold (also termed reduce, accumulate, aggregate, compress, or inject) refers to a family of higher-order functions that analyze a recursive data structure and through use of a given combining operation, recombine the results of recursively processing its constituent parts, building up a return value.
Furthermore, computing various functions on a column, like the summing up of its elements, is also not possible using the relational algebra introduced so far. There are five aggregate functions that are included with most relational database systems. These operations are Sum, Count, Average, Maximum and Minimum.
Aggregate function, aggregation function, in database management is a function wherein the values of multiple rows are grouped together to form a single summary value Aggregate Level Simulation Protocol (ALSP), a protocol and supporting software that enables simulations to interoperate with one another
Sonnenschein-Mantel-Debreu theorem (SMD theorem) is a theorem for exchange economy that can be expressed in the following way: . for a function that is continuous, homogeneous of degree zero, and in accord with Walras's law,there is an economy with at least as many agents as goods such that, for prices bounded away from zero, the function is the aggregate demand function for this economy.
An aggregate is a type of summary used in dimensional models of data warehouses to shorten the time it takes to provide answers to typical queries on large sets of data. The reason why aggregates can make such a dramatic increase in the performance of a data warehouse is the reduction of the number of rows to be accessed when responding to a query.
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An example of an OLAP cube. An OLAP cube is a multi-dimensional array of data. [1] Online analytical processing (OLAP) [2] is a computer-based technique of analyzing data to look for insights.