maximal

Meanings

Plural: maximals

Adjective

• the greatest or most complete or best possible
  • "maximal expansion"

Adj

• Largest, greatest (in magnitude), highest, most.
• Larger than any previous term in the sequence.
• Such that no other element is greater (with respect to the given partial order).

Noun

• The element of a set with the greatest magnitude.
• 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).
• 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

Antonyms

minimal, minimum

Related Words

maximative

Anagrams of maximal