View source for Maximal

==English==

===Alternative forms===
* {{l|en|max.}}

===Etymology===
From {{af|en|maximum|-al}}.<!--or from a full Latin word?-->

===Pronunciation===
* {{IPA|en|/ˈmæksɪməl/}}
* {{audio|en|LL-Q1860 (eng)-Vealhurl-maximal.wav|a=Southern England}}

===Adjective===
{{head|en|adjective}}

# {{U|largest}}, [[greatest]] (in [[magnitude]]), [[highest]], [[most]].
#* {{quote-journal|en|date=2016-03-02|author=|title=Dietary Iodine Sufficiency and Moderate Insufficiency in the Lactating Mother and Nursing Infant: A Computational Perspective|journal=PLOS ONE|url=http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0149300|doi=10.1371/journal.pone.0149300|volume=|issue=|pages=
|passage=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.}}
# {{lb|en|mathematics|of a sequence}} Larger than any previous term in the sequence.
#: {{ux|en|2=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.}}
# {{lb|en|mathematics|of an element of a [[poset]]}} Such that no other element is greater (with respect to the given [[partial order]]).
#: {{ux|en|With respect to the ordering induced by set-theoretic inclusion, the set <math>\{ \{2\}, \{1,2\}, \{2,3\} \}</math> has two '''maximal''' elements: <math>\{1,2\}</math> and <math>\{2,3\}</math>}}

====Synonyms====
* {{l|en|maximum|pos=adj}}

====Antonyms====
* {{l|en|minimal}}

====Derived terms====
{{col3|en|halfmaximal|maximal ideal|maximal munch|submaximal|supermaximal}}

====Related terms====
* {{l|en|maximative}}

====Translations====
{{trans-top|Largest, greatest, highest, most}}
* Asturian: {{t|ast|máximu}}
* Belarusian: {{t|be|максіма́льны}}
* Czech: {{t+|cs|maximální}}
* Danish: {{t|da|maksimal}}
* Dutch: {{t+|nl|maximaal}}
* Finnish: {{t+|fi|maksimaalinen}}, {{t|fi|[[mahdollisimman]] [[suuri]]}}
* French: {{t+|fr|maximal|m}}, {{t+|fr|maximum}}
* German: {{t+|de|maximal}}
* Hungarian: {{t+|hu|maximális}}
* Indonesian: {{t+|id|maksimal}}
* Italian: {{t+|it|massimo}}
* Kazakh: {{t|kk|максималды}}, {{t|kk|[[ең]] [[көп]]}}
* Polish: {{t+|pl|maksymalny}}
* Portuguese: {{t+|pt|máximo}}, {{t|pt|maximal}}
* Romanian: {{t+|ro|maximal}}
* Russian: {{t+|ru|максима́льный}}
* Spanish: {{t+|es|máximo}}
* Swedish: {{t+|sv|maximal}}
* Turkish: {{t+|tr|azami}}, {{t|tr|en fazla}}
* Ukrainian: {{t+|uk|максима́льний}}
{{trans-bottom}}

===Noun===
{{en-noun}}

# {{lb|en|mathematics}} The element of a set with the greatest [[magnitude]].
# {{lb|en|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).
# {{lb|en|logic}} ''Said of a set of [[well-formed formula]]s'': that it is as large as it can be without being [[inconsistent]]; i.e. that for any well-formed formula ''&phi;'', the set contains either ''&phi;'' or ~''&phi;''.

====Synonyms====
* {{l|en|maximum}}

===References===
* {{pedia}}

==French==

===Etymology===
From {{af|fr|maximum|-al}}.

===Pronunciation===
* {{fr-IPA}}
* {{audio|fr|LL-Q150 (fra)-Helenou66-maximal.wav}}

===Adjective===
{{fr-adj}}

# {{l|en|maximal}}

====Related terms====
* {{l|fr|maximum}}
* {{l|fr|max}}
* {{l|fr|maxi}}

===Further reading===
* {{R:fr:TLFi}}

==German==

===Pronunciation===
* {{audio|de|De-maximal.ogg}}
* {{rhymes|de|aːl|s=3}}

===Adjective===
{{de-adj}}

# [[#English|maximal]]
#: {{ant|de|minimal}}

====Declension====
{{de-adecl}}

===Further reading===
* {{R:Duden}}
* {{R:DWDS}}

==Interlingua==

===Adjective===
{{ia-adj|-}}

# {{l|en|maximal}}

==Portuguese==

===Pronunciation===
{{pt-IPA|màcsimal,màssimal}}
* {{rhymes|pt|al|q1=Portugal|aw|q2=Brazil|s=3}}
* {{hyphenation|pt|ma|xi|mal}}

===Adjective===
{{pt-adj}}

# {{l|en|maximal}}, [[maximum]]
#: {{syn|pt|máximo}}
# {{lb|pt|not comparable|relational}} {{non-gloss|of, or pertaining to, the maximum}}

====Derived terms====
* {{l|pt|maximalmente}}

==Romanian==

===Etymology===
{{bor+|ro|fr|maximal}}. Equivalent to {{af|ro|maxim|-al}}.

===Adjective===
{{ro-adj}}

# {{l|en|maximal}}

====Declension====
{{ro-decl-adj}}

==Spanish==

===Pronunciation===
{{es-pr}}

===Adjective===
{{es-adj}}

# {{l|en|maximal}}

====Derived terms====
{{col|es|maximalmente}}

==Swedish==

===Adjective===
{{sv-adj}}

# {{l|en|maximal}}; as large as possible
#: {{ant|sv|minimal}}

====Declension====
{{sv-adj-reg}}

===References===
* {{R:svenska.se|so}}
* {{R:svenska.se|saol}}
* {{R:svenska.se|saob}}