Maxima and Minima

Maxima And Minima

In mathematics, the maximum and minimum (plural: maxima and minima) of a function, known collectively as extrema (singular: extremum), are the largest and smallest value that the function takes at a point either within a given neighborhood (local or relative extremum) or on the function domain in its entirety (global or absolute extremum).

More generally, the maximum and minimum of a set (as defined in set theory) are the greatest and least element in the set. Unbounded infinite sets such as the set of real numbers have no minimum and maximum.

To locate extreme values is the basic objective of optimization.

Read more about Maxima And Minima:  Analytical Definition, Finding Functional Maxima and Minima, Examples, Functions of More Than One Variable, In Relation To Sets

Famous quotes containing the word maxima:

    Through my fault, my most grievous fault.
    [Mea culpa, mea maxima culpa.]
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