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In database management, an aggregate function or aggregation function is a function where multiple values are processed together to form a single summary statistic. (Figure 1) Entity relationship diagram representation of aggregation. Common aggregate functions include: Average (i.e., arithmetic mean) Count; Maximum; Median; Minimum; Mode ...
A typical example is the aggregate production function. [2] Another famous problem is Sonnenschein-Mantel-Debreu theorem. Most of macroeconomic statements comprise this problem. Examples of aggregates in micro- and macroeconomics relative to less aggregated counterparts are: Food vs. apples; Price level and real GDP vs. the price and quantity ...
Nowhere continuous function: is not continuous at any point of its domain; for example, the Dirichlet function. Homeomorphism: is a bijective function that is also continuous, and whose inverse is continuous. Open function: maps open sets to open sets. Closed function: maps closed sets to closed sets.
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
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.
Folds can be regarded as consistently replacing the structural components of a data structure with functions and values. Lists, for example, are built up in many functional languages from two primitives: any list is either an empty list, commonly called nil ([]), or is constructed by prefixing an element in front of another list, creating what is called a cons node ( Cons(X1,Cons(X2,Cons ...
Aggregate data is high-level data which is acquired by combining individual-level data. For instance, the output of an industry is an aggregate of the firms’ individual outputs within that industry. [1] Aggregate data are applied in statistics, data warehouses, and in economics. There is a distinction between aggregate data and individual data.
A number of generalizations of the standard definition of an aggregative game have appeared in the literature. A game is generalized aggregative [1] if there exists an additively separable function : (i.e., if there exist increasing functions ,, …,: such that () = (())) such that for each player i there exists a function ~: such that () = ~ (, (, …,)) for all .
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