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Maxima vs Maximal - What's the difference?

maxima | maximal |

As nouns the difference between maxima and maximal

is that maxima is irregular plural of maximum while maximal is the element of a set with the greatest magnitude.

As an adjective maximal is

largest, greatest (in magnitude), highest, most.

maxima

English

Noun

(head)
  • (maximum)
  • ----

    maximum

    Noun

    (en-noun)
  • The highest limit.
  • * P. Colquhoun
  • Good legislation is the art of conducting a nation to the maximum of happiness, and the minimum of misery.
  • (mathematics) The greatest value of a set or other mathematical structure, especially the global maximum or a local maximum of a function.
  • (analysis) An upper bound of a set which is also an element of that set.
  • (statistics) The largest value of a batch or sample or the upper bound of a probability distribution.
  • (colloquial, snooker) A 147 break; the highest possible break.
  • (colloquial, darts) A score of with three darts.
  • (colloquial, cricket) A scoring shot for 6 runs.
  • Usage notes

    * (term) is the more common plural, especially for the technical senses.

    Hypernyms

    * (statistics) measure of location

    Synonyms

    * max

    Antonyms

    * minimum

    Adjective

    (-)
  • To the highest degree.
  • Use the proper dose for the maximum effect.

    Derived terms

    * antimaximum * global maximum * local maximum * maximal * maximize * maximum break * maximum limit * submaximum

    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 ----