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Maximal vs Nonmaximal - What's the difference?

maximal | nonmaximal |

As adjectives the difference between maximal and nonmaximal

is that maximal is largest, greatest (in magnitude), highest, most while nonmaximal is not maximal.

As a noun maximal

is (mathematics) the element of a set with the greatest magnitude.

maximal

English

Adjective

(head)
  • Largest, greatest (in magnitude), highest, most.

    • Antonyms

    * minimal

    Derived terms

    * submaximal

    Noun

    (en noun)
  • (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 ----

    nonmaximal

    English

    Adjective

    (-)
  • Not maximal.

    • Derived terms

    * nonmaximally

    Related terms

    * nonmaximum