extremumn.

Brit.

/ᵻkˈstriːməm/,

/ɛkˈstriːməm/, U.S.

/ɪkˈstriməm/,

/ɛkˈstriməm/

Forms: Plural extrema, extremums.

Etymology: < Latin extrēmum, neuter of extrēmus (see extreme adj., adv., and n.). First used as a mathematical term (in German) by P. du Bois-Reymond 1879, in Math. Ann. XV. 564.

Mathematics.

A value of a function that is a maximum or a minimum (either relative or absolute).

ΘΚΠ

the world > relative properties > number > algebra > [noun] > expression > function > value or set of values of

maximum1646

minimum1646

nullity1710

modulus1843

argument1865

zero1873

range1891

extremum1904

interpolate1920

1904 O. Bolza Lect. Calculus Variations i. 10 The word ‘extremum’ will be used for maximum and minimum alike, when it is not necessary to distinguish between them.

1947 R. Courant & H. E. Robbins What is Math.? (ed. 4) vii. 343 A point where the derivative vanishes, whether it is an extremum or not, is called a stationary point.

1962 A. H. Frink tr. N. I. Akhiezer Calculus of Variations i. 5 An extremum in the whole collection M is called an absolute extremum. We shall also consider relative extrema; to define them we must introduce the notion of neighbourhood.

1968 M. J. Forray Variational Calculus in Sci. & Engin. i. 6 Are f(⁴/ ₅) = 4⁴/5⁵ and f(0) = 0 the absolute maximum and minimum for f(x) [= x⁴ − x⁵] in −2 ≤ x ≤ 2? We know that these extremums exist for a continuous function defined over a closed interval.

This entry has not yet been fully updated (first published 1972; most recently modified version published online March 2022).

单词	extremum
释义	extremumn. Brit. /ᵻkˈstriːməm/, /ɛkˈstriːməm/, U.S. /ɪkˈstriməm/, /ɛkˈstriməm/ Forms: Plural extrema, extremums. Etymology: < Latin extrēmum, neuter of extrēmus (see extreme adj., adv., and n.). First used as a mathematical term (in German) by P. du Bois-Reymond 1879, in Math. Ann. XV. 564. Mathematics. A value of a function that is a maximum or a minimum (either relative or absolute). ΘΚΠ the world > relative properties > number > algebra > [noun] > expression > function > value or set of values of maximum1646 minimum1646 nullity1710 modulus1843 argument1865 zero1873 range1891 extremum1904 interpolate1920 1904 O. Bolza Lect. Calculus Variations i. 10 The word ‘extremum’ will be used for maximum and minimum alike, when it is not necessary to distinguish between them. 1947 R. Courant & H. E. Robbins What is Math.? (ed. 4) vii. 343 A point where the derivative vanishes, whether it is an extremum or not, is called a stationary point. 1962 A. H. Frink tr. N. I. Akhiezer Calculus of Variations i. 5 An extremum in the whole collection M is called an absolute extremum. We shall also consider relative extrema; to define them we must introduce the notion of neighbourhood. 1968 M. J. Forray Variational Calculus in Sci. & Engin. i. 6 Are f(⁴/ ₅) = 4⁴/5⁵ and f(0) = 0 the absolute maximum and minimum for f(x) [= x⁴ − x⁵] in −2 ≤ x ≤ 2? We know that these extremums exist for a continuous function defined over a closed interval. This entry has not yet been fully updated (first published 1972; most recently modified version published online March 2022). < n.1904
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