English Explanatory Dictionary

maximal

English dictionary entry

Meanings

adj
  1. Largest, greatest (in magnitude), highest, most.
  2. Larger than any previous term in the sequence.
  3. Such that no other element is greater (with respect to the given partial order).
noun
  1. The element of a set with the greatest magnitude.
  2. 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. 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.

Pronunciation

/ˈmæksɪməl/ LL-Q1860 (eng)-Vealhurl-maximal.wav

Word forms

maximal max. maximals

Etymology

From maximum + -al.

Synonyms

extreme maximum ultimate ferocious exquisite intense almighty greatest highest maximal passing raging utmost uttermost

Antonyms

minimal

Related words

maximative

Derived words

bimaximal halfmaximal maximal ideal maximalism maximalist maximality maximalize maximally maximal munch multimaximal nonmaximal perimaximal postmaximal premaximal submaximal supermaximal supramaximal tribimaximal trimaximal ultramaximal
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