maximal

English

Etymology

maximum + -al

Pronunciation

  • IPA(key): /ˈmæksɪməl/
  • (file)

Adjective

maximal

  1. Largest, greatest (in magnitude), highest, most.
  2. (mathematics, of a sequence) Larger than any previous term in the sequence.
    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).
    With respect to the ordering induced by set-theoretic inclusion, the set has two maximal elements: and

Abbreviations

Synonyms

Antonyms

Derived terms

Translations

Noun

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.

Synonyms

References

French

Etymology

From maximum + -al.

Pronunciation

  • IPA(key): /mak.si.mal/
  • (file)

Adjective

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

  1. maximal

Further reading

German

Pronunciation

  • (file)
  • Rhymes: -aːl

Adjective

maximal (strong nominative masculine singular maximaler, not comparable)

  1. maximal
    Antonym: minimal

Declension

Further reading

  • maximal” in Duden online
  • maximal” in Digitales Wörterbuch der deutschen Sprache

Interlingua

Adjective

maximal (not comparable)

  1. maximal

Portuguese

Pronunciation

  • (Brazil) IPA(key): /mak.siˈmaw/ [mak.siˈmaʊ̯], /ma.siˈmaw/ [ma.siˈmaʊ̯]
 
  • (Portugal) IPA(key): /ma.ksiˈmal/ [ma.ksiˈmaɫ], /ma.siˈmal/ [ma.siˈmaɫ]
    • (Southern Portugal) IPA(key): /ma.ksiˈma.li/, /ma.siˈma.li/

  • Rhymes: (Portugal) -al, (Brazil) -aw
  • Hyphenation: ma‧xi‧mal

Adjective

maximal m or f (plural maximais)

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

Derived terms

Romanian

Etymology

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

Adjective

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

  1. maximal

Declension

Spanish

Pronunciation

  • IPA(key): /maɡsiˈmal/ [maɣ̞.siˈmal]
  • Rhymes: -al
  • Syllabification: ma‧xi‧mal

Adjective

maximal m or f (masculine and feminine plural maximales)

  1. maximal

Derived terms

Swedish

Adjective

maximal (comparative maximalare, superlative maximalast)

  1. maximal; as large as possible
    Antonym: minimal

Declension

Inflection of maximal
Indefinite Positive Comparative Superlative2
Common singular maximal maximalare maximalast
Neuter singular maximalt maximalare maximalast
Plural maximala maximalare maximalast
Masculine plural3 maximale maximalare maximalast
Definite Positive Comparative Superlative
Masculine singular1 maximale maximalare maximalaste
All maximala maximalare maximalaste
1) Only used, optionally, to refer to things whose natural gender is masculine.
2) The indefinite superlative forms are only used in the predicative.
3) Dated or archaic

References

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