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Mathematical optimization

Graph of a paraboloid given by f(x, y) = -(x² + y²) + 4. The global maximum at (0, 0, 4) is indicated by a red dot. In mathematics, computer science, or management science, mathematical optimization (alternatively, optimization or mathematical programming) is the selection of a best element (with regard to some criteria) from some set of available alternatives.In the simplest case, an optimization problem consists of maximizing or minimizing a real function by systematically choosing input values from within an allowed set and computing the value of the function. The generalization of optimization theory and techniques to other formulations comprises a large area of applied mathematics. More generally, optimization includes finding "best available" values of some objective function given a defined domain (or a set of constraints), including a variety of different types of objective functions and different types of domains. Cite error: There are tags on this page, but the references will not show without a {{reflist}} template (see the help page).
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