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What (who) is extremum - definition

LARGEST AND SMALLEST VALUE TAKEN BY A FUNCTION IN A GIVEN RANGE

Relative extrema; Extreme value; Maximum; Minimum; Local minimum; Global minimum; Local maximum; Global maximum; Local minima; Local extremum; Extremum; Global optimum; Absolute extremum; Maximum point; Minimum point; Global extremum; Globally optimal; Minima and maxima; Maximize; Minima; Local extrema; Local maxima; Absolute extreme; Extreme record; Maximum (mathematics); Relative maximum; Relative Maxima; Maxima & minima; Min and max; Max and min; Minimum (mathematics); Miminum; Maximums and minimums; Strict maximum; Strict minimum; Global extrema; Global minimum point; Global maximum point; Extrema (mathematics); Extrema of a function; Maximum value; Maxima and minima

extremum

[?k'stri:m?m, ?k-]

¦ noun (plural extremums or extrema) Mathematics the maximum or minimum value of a function.

Origin

early 20th cent.: from L., neut. of extremus (see extreme).

Maxima and minima

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.

https://en.wikipedia.org/wiki/Maxima_and_minima

maximum

Frequency: The word is one of the 3000 most common words in English.

1.

You use maximum to describe an amount which is the largest that is possible, allowed, or required.

Under planning law the maximum height for a fence or hedge is 2 metres...

China headed the table with maximum points.

? minimum

ADJ: ADJ n

•

Maximum is also a noun.

The law provides for a maximum of two years in prison...

? minimum

N-SING: oft a N of amount

2.

You use maximum to indicate how great an amount is.

...the maximum amount of information...

It was achieved with minimum fuss and maximum efficiency.

...a maximum security prison.

? minimum

ADJ: ADJ n

3.

If you say that something is a particular amount maximum, you mean that this is the greatest amount it should be or could possibly be, although a smaller amount is acceptable or very possible.

We need an extra 6g a day maximum.

? minimum

ADV: amount ADV

4.

If you say that someone does something to the maximum, you are emphasizing that they do it to the greatest degree possible.

You have to develop your capabilities to the maximum.

= to the full

PHRASE: PHR after v [emphasis]

Wikipedia

Maximum and minimum

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.

https://en.wikipedia.org/wiki/Maximum and minimum