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Such functions are called decomposable aggregation functions [4] or decomposable aggregate functions. The simplest may be referred to as self-decomposable aggregation functions , which are defined as those functions f such that there is a merge operator ⋄ {\displaystyle \diamond } such that
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.
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.
Aggregate function, a type of function in data processing; Aggregation, a form of object composition in object-oriented programming; Link aggregation, using multiple Ethernet network cables/ports in parallel to increase link speed; Packet aggregation, joining multiple data packets for transmission as a single unit to increase network efficiency
Aggregate class, a type of class supported by C++; Aggregate data, in statistics, data combined from several measurements; 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 data are also used for medical and educational purposes. Aggregate data is widely used, but it also has some limitations, including drawing inaccurate inferences and false conclusions which is also termed ‘ecological fallacy’. [3] ‘Ecological fallacy’ means that it is invalid for users to draw conclusions on the ecological ...
In other cases, the aggregate function can be computed by computing auxiliary numbers for cells, aggregating these auxiliary numbers, and finally computing the overall number at the end; examples include AVERAGE (tracking sum and count, dividing at the end) and RANGE (tracking max and min, subtracting at the end).
In macroeconomics, aggregate production functions for whole nations are sometimes constructed. In theory, they are the summation of all the production functions of individual producers; however there are methodological problems associated with aggregate production functions, and economists have debated extensively whether the concept is valid. [3]