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# maximum

/mak"seuh meuhm/, n., pl. maximums, maxima /-meuh/, adj.
n.
1. the greatest quantity or amount possible, assignable, allowable, etc.
2. the highest amount, value, or degree attained or recorded.
3. an upper limit allowed or allowable by law or regulation.
4. Math.
a. Also called relative maximum, local maximum. the value of a function at a certain point in its domain, which is greater than or equal to the values at all other points in the immediate vicinity of the point. Cf. absolute maximum.
b. the point in the domain at which a maximum occurs.
5. that is a maximum; greatest or highest possible or attained: maximum satisfaction; maximum temperature.
6. pertaining to a maximum or maximums.
[1730-40; < L, n. use of neut. of maximus, superl. of magnus great, large]

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In mathematics, a point at which a function's value is greatest.

If the value is greater than or equal to all other function values, it is an absolute maximum. If it is merely greater than any nearby point, it is a relative, or local, maximum. In calculus, the derivative equals zero or does not exist at a function's maximum point. Techniques for finding maximum and minimum points motivated the early development of calculus and have made it easier to solve problems such as finding the dimensions of a container that will hold the most for a given amount of material used to make it. See also minimum, optimization.

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Universalium. 2010.

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• Maximum — Maximum …   Deutsch Wörterbuch

• maximum — [ maksimɔm ] n. m. • 1718; mot lat. « le plus grand » 1 ♦ Math. Valeur d une fonction supérieure à celles qui la précèdent ou la suivent immédiatement. Premier, second maximum d une fonction, d une courbe, d un graphique. ⇒ pointe. 2 ♦ (1751)… …   Encyclopédie Universelle

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• maximum — MÁXIMUM s.n. 1. Limita superioară peste care nu se poate trece; maxim1. ♢ loc. adv. La maximum = în cel mai înalt grad. 2. Cea mai mare cantitate, valoare, intensitate; maxim1. ♦ (Adverbial) În cantitatea, timpul, spaţiul maxim2 posibil. – Din… …   Dicționar Român

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• Maxĭmum — und Minĭmum (lat., »das Größte« und »das Kleinste«), der größte, bez. der kleinste Wert unter einer Anzahl von Werten. In der Mathematik ist Maximum, bez. Minimum einer Funktion jeder Wert der Funktion, der größer (>), bez. kleiner ( f(x0) wird.… …   Meyers Großes Konversations-Lexikon

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• Maximum — Sn Höchstmaß erw. fremd. Erkennbar fremd (18. Jh.) Entlehnung. Entlehnt aus l. māximum, dem Superlativ von l. māgnus groß . Adjektiv: maximal.    Ebenso nndl. maximum, ne. maximum, nfrz. maximum, nschw. maximum, nnorw. maksimum; Magister. ✎ DF 2… …   Etymologisches Wörterbuch der deutschen sprache