mathematical_optimization
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| In mathematics, | In mathematics, | ||
| - | 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" | + | 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" |
| ===== Optimization Problems ===== | ===== Optimization Problems ===== | ||
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| represents the $(x,y)$ pair (or pairs) that maximizes (or maximize) the value of the objective function $x\cos(y)$, with the added constraint that $x$ lie in the interval $[-5,5]$ (again, the actual maximum value of the expression does not matter). In this case, the solutions are the pairs of the form $(5, 2k\pi)$ and $(−5, | represents the $(x,y)$ pair (or pairs) that maximizes (or maximize) the value of the objective function $x\cos(y)$, with the added constraint that $x$ lie in the interval $[-5,5]$ (again, the actual maximum value of the expression does not matter). In this case, the solutions are the pairs of the form $(5, 2k\pi)$ and $(−5, | ||
| - | **Arg min** and **arg max** are sometimes also written **argmin** and **argmax**, and stand for argument of the minimum and argument of the maximum. | + | **Arg min** and **arg max** are sometimes also written **argmin** and **argmax**, and stand for argument of the minimum and argument of the maximum.[[http:// |
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