maximal - Wiktionary, the free dictionary (original) (raw)

From Wiktionary, the free dictionary

From maximum +‎ -al.

maximal

  1. Largest, greatest (in magnitude), highest, most.
    Synonyms: extreme, maximum, ultimate; see also Thesaurus:extreme
    Antonym: minimal
    • 2016 March 2, “Dietary Iodine Sufficiency and Moderate Insufficiency in the Lactating Mother and Nursing Infant: A Computational Perspective”, in PLOS ONE‎[1], →DOI:
      The organification of iodide in the thyroid gland was described using a second order rate constant (KthybindC, /nmol/L*hr/kg thyroid weight) fitted to provide thyroidal iodide stores near the maximal value, which increased with age.
  2. (mathematics, of a sequence) Larger than any previous term in the sequence.
    Antonym: minimal
    In the sequence (1, 2, 10, 5, 12, 6), the fifth term, f(5) = 12, is a maximal term, as each of the first 4 terms are smaller than 12.
  3. (mathematics, of an element of a poset) Such that no other element is greater (with respect to the given partial order).
    Antonym: minimal
    With respect to the ordering induced by set-theoretic inclusion, the set { { 2 } , { 1 , 2 } , { 2 , 3 } } {\displaystyle \{\{2\},\{1,2\},\{2,3\}\}} {\displaystyle \{\{2\},\{1,2\},\{2,3\}\}} has two maximal elements: { 1 , 2 } {\displaystyle \{1,2\}} {\displaystyle \{1,2\}} and { 2 , 3 } {\displaystyle \{2,3\}} {\displaystyle \{2,3\}}

largest, greatest, highest, most

maximal (plural maximals)

  1. (mathematics) The element of a set with the greatest magnitude.
  2. (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).
  3. (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.

From maximum +‎ -al.

maximal (feminine maximale, masculine plural maximaux, feminine plural maximales)

  1. maximal

maximal (strong nominative masculine singular maximaler, not comparable)

  1. maximal
    Antonym: minimal

Positive forms of maximal (uncomparable)

maximal (not comparable)

  1. maximal

maximal m or f (plural maximais)

  1. maximal, maximum
    Synonym: máximo
  2. (not comparable, relational) of, or pertaining to, the maximum

Borrowed from French maximal. Equivalent to maxim +‎ -al.

maximal m or n (feminine singular maximală, masculine plural maximali, feminine/neuter plural maximale)

  1. maximal

maximal m or f (masculine and feminine plural maximales)

  1. maximal

maximal (comparative maximalare, superlative maximalast)

  1. maximal; as large as possible
    Antonym: minimal