[go: up one dir, main page]

Jump to content

maximal

From Wiktionary, the free dictionary

English

[edit]

Etymology

[edit]

From maximum +‎ -al.

Pronunciation

[edit]

Adjective

[edit]

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

[edit]

Synonyms

[edit]

Antonyms

[edit]

Derived terms

[edit]
[edit]

Translations

[edit]

Noun

[edit]

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

[edit]

References

[edit]

French

[edit]

Etymology

[edit]

From maximum +‎ -al.

Pronunciation

[edit]

Adjective

[edit]

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

  1. maximal
[edit]

Further reading

[edit]

German

[edit]

Pronunciation

[edit]

Adjective

[edit]

maximal (strong nominative masculine singular maximaler, not comparable)

  1. maximal
    Antonym: minimal

Declension

[edit]

Further reading

[edit]
  • maximal” in Duden online
  • maximal” in Digitales Wörterbuch der deutschen Sprache

Interlingua

[edit]

Adjective

[edit]

maximal (not comparable)

  1. maximal

Portuguese

[edit]

Pronunciation

[edit]
  • (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

[edit]

maximal m or f (plural maximais)

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

Derived terms

[edit]

Romanian

[edit]

Etymology

[edit]

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

Adjective

[edit]

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

  1. maximal

Declension

[edit]
singular plural
masculine neuter feminine masculine neuter feminine
nominative-
accusative
indefinite maximal maximală maximali maximale
definite maximalul maximala maximalii maximalele
genitive-
dative
indefinite maximal maximale maximali maximale
definite maximalului maximalei maximalilor maximalelor

Spanish

[edit]

Pronunciation

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

Adjective

[edit]

maximal m or f (masculine and feminine plural maximales)

  1. maximal

Derived terms

[edit]

Swedish

[edit]

Adjective

[edit]

maximal (comparative maximalare, superlative maximalast)

  1. maximal; as large as possible
    Antonym: minimal

Declension

[edit]
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

[edit]