# maximal
## English
### Alternative forms

* max.

### Etymology

From maximum +‎ -al.

### Pronunciation

* IPA: /ˈmæksɪməl/
* Audio (Southern England):(file)

### Adjective

maximal
* Largest, greatest (in magnitude), highest, most.
** 2016 March 2, “Dietary Iodine Sufficiency and Moderate Insufficiency in the Lactating Mother and Nursing Infant: A Computational Perspective”, in PLOS ONE‎, →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.
* (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.
* (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 $\{\{2\},\{1,2\},\{2,3\}\}$ has two maximal elements: $\{1,2\}$ and $\{2,3\}$

#### Synonyms

* maximum (adj)

#### Antonyms

* minimal

#### Derived terms

* halfmaximal
* maximal ideal
* maximal munch
* submaximal
* supermaximal

#### Related terms

* maximative

#### Translations
### Noun

maximal (plural maximals)
* (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

### References

* maximal on Wikipedia.Wikipedia

## French
### Etymology

From maximum +‎ -al.

### Pronunciation

* IPA: /mak.si.mal/
* Audio:(file)

### Adjective

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

#### Related terms

* maximum
* max
* maxi

### Further reading

* “maximal”, in Trésor de la langue française informatisé [Digitized Treasury of the French Language], 2012.

## German
### Pronunciation

* Audio:(file)
* Rhymes: -aːl

### Adjective

maximal (strong nominative masculine singular maximaler, not comparable)
* maximal
    Antonym: minimal

#### Declension
### Further reading

* “maximal” in Duden online
* “maximal” in Digitales Wörterbuch der deutschen Sprache

## Interlingua
### Adjective

maximal (not comparable)
* maximal

## Portuguese
### Pronunciation

* (Brazil) IPA: /mak.siˈmaw/ [mak.siˈmaʊ̯], /ma.siˈmaw/ [ma.siˈmaʊ̯]
* (Portugal) IPA: /ma.ksiˈmal/ [ma.ksiˈmaɫ], /ma.siˈmal/ [ma.siˈmaɫ]
* (Portugal) IPA: /ma.ksiˈmal/ [ma.ksiˈmaɫ], /ma.siˈmal/ [ma.siˈmaɫ]
** (Southern Portugal) IPA: /ma.ksiˈma.li/, /ma.siˈma.li/
* Rhymes: (Portugal) -al, (Brazil) -aw
* Hyphenation: ma‧xi‧mal

### Adjective

maximal m or f (plural maximais)
* maximal, maximum
    Synonym: máximo
* (not comparable, relational) of, or pertaining to, the maximum

#### Derived terms

* maximalmente

## 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)
* maximal

#### Declension
## Spanish
### Pronunciation

* IPA: /maɡsiˈmal/ [maɣ̞.siˈmal]
* Rhymes: -al
* Syllabification: ma‧xi‧mal

### Adjective

maximal m or f (masculine and feminine plural maximales)
* maximal

#### Derived terms

* maximalmente

## Swedish
### Adjective

maximal (comparative maximalare, superlative maximalast)
* maximal; as large as possible
    Antonym: minimal

#### Declension

$^1$ The indefinite superlative forms are only used in the predicative. $^2$ Dated or archaic. $^3$ Only used, optionally, to refer to things whose natural gender is masculine.

### References

* maximal in Svensk ordbok (SO)
* maximal in Svenska Akademiens ordlista (SAOL)
* maximal in Svenska Akademiens ordbok (SAOB)