maximal

== English == === Alternative forms === max. === Etymology === From maximum +‎ -al. === Pronunciation === IPA(key): /ˈmæksɪməl/ === Adjective === maximal Largest, greatest (in magnitude), highest, most. Synonyms: extreme, maximum, ultimate; see also Thesaurus:extreme Antonym: minimal (mathematics, of a sequence) Larger than any previous term in the sequence. Antonym: minimal (mathematics, of an element of a poset) Such that no other element is greater (with respect to the given partial order). Antonym: minimal ==== Derived terms ==== ==== Related terms ==== maximative ==== Translations ==== === 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 ==== maximum === References === maximal on Wikipedia.Wikipedia == French == === Etymology === From maximum +‎ -al. === Pronunciation === IPA(key): /mak.si.mal/ === Adjective === maximal (feminine maximale, masculine plural maximaux, feminine plural maximales) maximal ==== Related terms ==== maximum max maxi === Further reading === “maximal”, in Trésor de la langue française informatisé [Digitized Treasury of the French Language], 2012 == German == === Pronunciation === IPA(key): /maksiˈmaːl/ Rhymes: -aːl === Adjective === maximal (strong nominative masculine singular maximaler, not comparable) maximal Antonym: minimal ==== Declension ==== === Further reading === “maximal” in Duden online “maximal”, in Digitales Wörterbuch der deutschen Sprache‎[2] (in German) == Interlingua == === Adjective === maximal (not comparable) maximal == Portuguese == === Pronunciation === Rhymes: (Portugal) -al, (Brazil) -aw Hyphenation: ma‧xi‧mal === Adjective === maximal m or f (plural maximais) maximal, maximum Synonym: máximo (not comparable, relational) of, or pertaining to, the maximum ==== Derived terms ==== maximalmente === Further reading === “maximal”, in Dicionário Priberam da Língua Portuguesa (in Portuguese), Lisbon: Priberam, 2008–2026 == Romanian == === Etymology === Borrowed from French maximal. Equivalent to maxim +‎ -al. === Adjective === maximal m or n (feminine singular maximală, masculine plural maximali, feminine/neuter plural maximale) maximal ==== Declension ==== == Spanish == === Pronunciation === IPA(key): /maɡsiˈmal/ [maɣ̞.siˈmal] Rhymes: -al Syllabification: ma‧xi‧mal === Adjective === maximal m or f (masculine and feminine plural maximales) maximal ==== Derived terms ==== == Swedish == === Adjective === maximal (comparative maximalare, superlative maximalast) maximal; as large as possible Antonym: minimal ==== Declension ==== === References === “maximal”, in Svensk ordbok [Dictionary of Swedish] (in Swedish) “maximal”, in Svenska Akademiens ordlista [Wordlist of the Swedish Academy] (in Swedish) “maximal”, in Svenska Akademiens ordbok [Dictionary of the Swedish Academy] (in Swedish)