Translation and analysis of words by ChatGPT artificial intelligence
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extremum - translation to russian
![[[Peano surface]], a counterexample to some criteria of local maxima of the 19th century](https://commons.wikimedia.org/wiki/Special:FilePath/Modell einer Peanoschen Fläche -Schilling XLIX, 1-.jpg?width=200 "[[Peano surface]], a counterexample to some criteria of local maxima of the 19th century")
[ik'stri:məm]
общая лексика
экстремум
математика
экстремальный
существительное
математика
экстремум (максимум или минимум)
математика
абсолютный экстремум
Definition
Wikipedia
In mathematical analysis, the maximum (PL: maxima or maximums) and minimum (PL: minima or minimums) of a function, known generically as extremum (PL: extrema), are the largest and smallest value taken by 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.
