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What (who) is maximum - 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
![[[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")
Maximum
·adj Greatest in quantity or highest in degree attainable or attained; as, a maximum consumption of fuel; maximum pressure; maximum heat.
II. Maximum ·noun The greatest quantity or value attainable in a given case; or, the greatest value attained by a quantity which first increases and then begins to decrease; the highest point or degree;
- opposed to minimum.
maximum
¦ noun (plural maxima -m? or maximums) the greatest amount, extent, or intensity possible or recorded.
¦ adjective greatest in amount, extent, or intensity.
Origin
C17: from mod. L., neut. of L. maximus 'greatest'.
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.
Examples of use of maximum
1. Maximum sentence They each face a maximum sentence of two years in prison.
2. Maximum sentence Menad Benchellali, the group‘s alleged chemicals expert, got the maximum 10–year term.
3. Maximum sentence Prosecutor Frits van Straelen demanded a maximum life sentence for Bouyeri.
4. He said total length of the tunnel is 8.8 kilometer, maximum height 7.14 meter while maximum width is 7.55 meter.
5. The first–degree count carries a maximum sentence of life in prison; the lesser count has a 60–year maximum.