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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 (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. Definition A real-valued function ''f'' defined on a domain ''X'' has a global (or absolute) maximum point at ''x''∗, if for all ''x'' in ''X''. Similarly, the function has a global (or absolute) minimum point at ''x''∗, if for all ''x'' in ''X''. The value of the function at a m ...
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Extrema Example Original
Extrema may refer to: *Extrema (mathematics), maxima and minima values * Extremities (other) * Extrema, Minas Gerais, town in Brazil * Extrema, Rondônia, town in Brazil *Extrema (band) Extrema is an Italian thrash metal/ groove metal band from Milan. They sing in English. History Extrema formed in 1986 in Milan. The initial lineup included guitarist Tommy Massara, vocalist/guitarist Andrea Boria, bassist Luca Varisco, an ...
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