maximal

English

Wikipedia

Etymology

maximum + -al

Adjective

maximal

1. Largest, greatest (in magnitude), highest, most.

Antonyms

• minimal

Derived terms

• submaximal

Translations

Largest, greatest, highest, most

• Czech: maximální (cs)
• Dutch: maximaal
• Finnish: maksimaalinen (fi)
• French: maximal (fr) m, maximum (fr)

• German: maximal (de)
• Italian: massimo (it)
• Portuguese: máximo (pt)
• Romanian: maximal (ro)
• Russian: максимальный (ru) (maksimál'nyj)
• Spanish: máximo (es)
• Swedish: maximal (sv)

Noun

maximal (plural maximals)

1. (mathematics) The element of a set with the greatest magnitude.
2. (mathematics) Said of an ideal of a ring or a filter of a lattice: that it is as large as it can be without being trivial (improper).
3. (logic) Said of a set of well-formed formulas: that it is as large as it can be without being inconsistent; i.e. that for any well-formed formula φ, the set contains either φ or ~φ.

Synonyms

• maximum

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French

Etymology

From maximum +‎ -al.

Adjective

maximal m (feminine maximale, masculine plural maximaux, feminine plural maximales)

1. maximal

Related terms

• maximum
• max
• maxi

External links

• “maximal” in le Trésor de la langue française informatisé (The Digitized Treasury of the French Language).

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German

Adjective

maximal (not comparable)

1. maximal

Antonyms

• minimal

Declension

Declension of maximal

number & gender		singular			plural
		masculine	feminine	neuter	all genders
predicative		er ist maximal	sie ist maximal	es ist maximal	sie sind maximal
strong declension (without article)	nominative	maximaler	maximale	maximales	maximale
	genitive	maximalen	maximaler	maximalen	maximaler
	dative	maximalem	maximaler	maximalem	maximalen
	accusative	maximalen	maximale	maximales	maximale
weak declension (with definite article)	nominative	der maximale	die maximale	das maximale	die maximalen
	genitive	des maximalen	der maximalen	des maximalen	der maximalen
	dative	dem maximalen	der maximalen	dem maximalen	den maximalen
	accusative	den maximalen	die maximale	das maximale	die maximalen
mixed declension (with indefinite article)	nominative	ein maximaler	eine maximale	ein maximales	(keine) maximalen
	genitive	eines maximalen	einer maximalen	eines maximalen	(keiner) maximalen
	dative	einem maximalen	einer maximalen	einem maximalen	(keinen) maximalen
	accusative	einen maximalen	eine maximale	ein maximales	(keine) maximalen

External links

• maximal in Duden online

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Swedish

Adjective

maximal

Declension of maximal

Inflections of maximal		Absolute	Comparative	Superlative
				Attributive	Predicative
Indefinite singular	Common	maximal	maximalare		maximalast
	Neuter	maximalt
Definite singular	Masc.	maximale		maximalaste
	All	maximala		maximalaste
Plural		maximala		maximalaste

1. maximal; as large as possible

Antonyms

• minimal