infimum

English

Etymology

Borrowed from Latin infimum (“lowest part”), from infimus (“lowest”).

Pronunciation

• (UK) IPA^(key): /ɪnˈfaɪməm/
• (US) IPA^(key): /ɪnˈfiːməm/, /ɪnˈfaɪməm/

Noun

infimum (plural infima or infimums)

1. (mathematics) (of a subset) the greatest element of the containing set that is smaller than or equal to all elements of the subset. The infimum may or may not be a member of the subset.

Synonyms

• greatest lower bound

Antonyms

• supremum

Derived terms

• essential infimum

Translations

element of a set

• Czech: infimum n
• Finnish: suurin alaraja, infimum (fi)
• French: infimum (fr) m
• German: Infimum (de) n
• Japanese: 下限 (ja) (かげん, kagen)
• Polish: infimum (pl) n, kres dolny (pl) m
• Spanish: ínfimo (es)

Czech

Pronunciation

• IPA^(key): [ˈɪnfɪmum]

Noun

infimum n

1. (mathematics) infimum

   Antonym: supremum

Declension

Declension of infimum (hard neuter foreign)

	singular	plural
nominative	infimum	infima
genitive	infima	infim
dative	infimu	infimům
accusative	infimum	infima
vocative	infimum	infima
locative	infimu	infimech
instrumental	infimem	infimy

Further reading

• infimum in Akademický slovník cizích slov, 1995, at prirucka.ujc.cas.cz

Finnish

Etymology

Learned borrowing from Latin infimum.

Pronunciation

• IPA^(key): /ˈinfi(ː)mum/, [ˈiɱfi(ː)mum]
• Rhymes: -infimum
• Hyphenation^(key): in‧fi‧mum

Noun

infimum

1. (mathematics) infimum

Declension

Inflection of infimum (Kotus type 5/risti, no gradation)
nominative		infimum	infimumit
genitive		infimumin	infimumien
partitive		infimumia	infimumeja
illative		infimumiin	infimumeihin
		singular	plural
nominative		infimum	infimumit
accusative	nom.	infimum	infimumit
	gen.	infimumin
genitive		infimumin	infimumien
partitive		infimumia	infimumeja
inessive		infimumissa	infimumeissa
elative		infimumista	infimumeista
illative		infimumiin	infimumeihin
adessive		infimumilla	infimumeilla
ablative		infimumilta	infimumeilta
allative		infimumille	infimumeille
essive		infimumina	infimumeina
translative		infimumiksi	infimumeiksi
abessive		infimumitta	infimumeitta
instructive		—	infimumein
comitative		See the possessive forms below.

Possessive forms of infimum (Kotus type 5/risti, no gradation)

first-person singular possessor singular plural nominative infimumini infimumini accusative nom. infimumini infimumini gen. infimumini genitive infimumini infimumieni partitive infimumiani infimumejani inessive infimumissani infimumeissani elative infimumistani infimumeistani illative infimumiini infimumeihini adessive infimumillani infimumeillani ablative infimumiltani infimumeiltani allative infimumilleni infimumeilleni essive infimuminani infimumeinani translative infimumikseni infimumeikseni abessive infimumittani infimumeittani instructive — — comitative — infimumeineni second-person singular possessor singular plural nominative infimumisi infimumisi accusative nom. infimumisi infimumisi gen. infimumisi genitive infimumisi infimumiesi partitive infimumiasi infimumejasi inessive infimumissasi infimumeissasi elative infimumistasi infimumeistasi illative infimumiisi infimumeihisi adessive infimumillasi infimumeillasi ablative infimumiltasi infimumeiltasi allative infimumillesi infimumeillesi essive infimuminasi infimumeinasi translative infimumiksesi infimumeiksesi abessive infimumittasi infimumeittasi instructive — — comitative — infimumeinesi first-person plural possessor singular plural nominative infimumimme infimumimme accusative nom. infimumimme infimumimme gen. infimumimme genitive infimumimme infimumiemme partitive infimumiamme infimumejamme inessive infimumissamme infimumeissamme elative infimumistamme infimumeistamme illative infimumiimme infimumeihimme adessive infimumillamme infimumeillamme ablative infimumiltamme infimumeiltamme allative infimumillemme infimumeillemme essive infimuminamme infimumeinamme translative infimumiksemme infimumeiksemme abessive infimumittamme infimumeittamme instructive — — comitative — infimumeinemme second-person plural possessor singular plural nominative infimuminne infimuminne accusative nom. infimuminne infimuminne gen. infimuminne genitive infimuminne infimumienne partitive infimumianne infimumejanne inessive infimumissanne infimumeissanne elative infimumistanne infimumeistanne illative infimumiinne infimumeihinne adessive infimumillanne infimumeillanne ablative infimumiltanne infimumeiltanne allative infimumillenne infimumeillenne essive infimuminanne infimumeinanne translative infimumiksenne infimumeiksenne abessive infimumittanne infimumeittanne instructive — — comitative — infimumeinenne third-person possessor singular plural nominative infimuminsa infimuminsa accusative nom. infimuminsa infimuminsa gen. infimuminsa genitive infimuminsa infimumiensa partitive infimumiaan infimumiansa infimumejaan infimumejansa inessive infimumissaan infimumissansa infimumeissaan infimumeissansa elative infimumistaan infimumistansa infimumeistaan infimumeistansa illative infimumiinsa infimumeihinsa adessive infimumillaan infimumillansa infimumeillaan infimumeillansa ablative infimumiltaan infimumiltansa infimumeiltaan infimumeiltansa allative infimumilleen infimumillensa infimumeilleen infimumeillensa essive infimuminaan infimuminansa infimumeinaan infimumeinansa translative infimumikseen infimumiksensa infimumeikseen infimumeiksensa abessive infimumittaan infimumittansa infimumeittaan infimumeittansa instructive — — comitative — infimumeineen infimumeinensa

Synonyms

• suurin alaraja

Antonyms

• supremum

Latin

Adjective

īnfimum

1. inflection of īnfimus:
   1. nominative/accusative/vocative neuter singular
   2. accusative masculine singular