# Maxima and Minima

Largest and smallest value taken by a function takes at a given point
trends
alias
minima and maxima
variable's extreme values
extrema
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Extrema (calculus)
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8/17/2003
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In mathematical analysis, the maxima and minima (the respective plurals of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given range (the local or relative extrema) or on the entire domain of a function (the global or absolute extrema). Pierre de Fermat was one of the first mathematicians to propose a general technique, adequality, for finding the maxima and minima of functions. As defined in set theory, the maximum and minimum of a set are the greatest and least elements in the set, respectively. Unbounded infinite sets, such as the set of real numbers, have no minimum or maximum.
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Relative extrema
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Maximum
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Local minimum
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Global maximum
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Extremum
Global optimum
Absolute extremum
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Minima and maxima
Maximize
Minima
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Maximum (mathematics)
Relative maximum
Relative Maxima
Maxima & minima
Min and max
Max and min
Minimum (mathematics)
Miminum
Maximums and minimums
Maximum and minimum
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