Definify.com
Definition 2024
maximal
maximal
English
Adjective
maximal
Antonyms
Derived terms
Translations
Largest, greatest, highest, most
Noun
maximal (plural maximals)
- (mathematics) The element of a set with the greatest magnitude.
- (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).
- (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
French
Etymology
Adjective
maximal m (feminine singular maximale, masculine plural maximaux, feminine plural maximales)
Related terms
German
Pronunciation
- Rhymes: -aːl
Adjective
maximal (not comparable)
Antonyms
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 | |
Swedish
Adjective
maximal
| Inflection of maximal | |||
|---|---|---|---|
| Indefinite/attributive | Positive | Comparative | Superlative2 |
| Common singular | maximal | maximalare | maximalast |
| Neuter singular | maximalt | maximalare | maximalast |
| Plural | maximala | maximalare | maximalast |
| Definite | Positive | Comparative | Superlative |
| Masculine singular1 | maximale | maximalare | maximalaste |
| All | maximala | maximalare | maximalaste |
| 1) Only used, optionally, to refer to things whose natural gender is masculine. 2) The indefinite superlative forms are only used in an attributive role. | |||
- maximal; as large as possible