maximal

Adjective Abbreviations Synonyms Antonyms Translations

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Adjective Abbreviations Synonyms Antonyms Translations

- French: maximal, maximum
- German: maximal
- Italian: massimo
- Portuguese: máximo
- Russian: максима́льный
- Spanish: máximo

**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*.

This text is extracted from the Wiktionary and it is available under the CC BY-SA 3.0 license | Terms and conditions | Privacy policy 0.004