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infimum

/ɪnˈfaɪməm/

Meanings
noun
(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.

Examples :

"The lowest passing grade on the exam is the infimum of all passing grades, even if no one actually scored that exact minimum passing grade. "
math logic number element

Related Words

Illustration subset

subset noun

/ˈsʌbˌsɛt/

(of a set S) A set A such that every element of A is also an element of S.

"The set lbrace a, b brace is a both a subset and a proper subset of lbrace a, b, c brace while the set lbrace a, b, c brace is a subset of lbrace a, b, c brace but not a proper subset of lbrace a, b, c brace."

Illustration element

element noun

/ˈɛlɪmənt/

One of the simplest or essential parts or principles of which anything consists, or upon which the constitution or fundamental powers of anything are based.

"Letters are the elements of written language."

Illustration minimum

minimum noun

/ˈmɪn.ɪ.məm/ /ˈmɪn.ə.məm/

The lowest limit.

"We need a minimum of three staff members on duty at all time."

Illustration containing

containing verb

/kənˈteɪnɪŋ/

To hold inside.

"The box containing my old toys was stored in the attic. "

Illustration grades

grades noun

/ɡɹeɪdz/

A rating.

"I gave him a good grade for effort."

Illustration smaller

smaller adjective

/ˈsmɑlɚ/ /ˈsmɔːlə/ /ˈsmɔlɚ/

Not large or big; insignificant; few in number.

"A small group."

Illustration greatest

greatest adjective

/ˈɡɹeɪtɪst/

Relatively large in scale, size, extent, number (i.e. having many parts or members) or duration (i.e. relatively long); very big.

"A great storm is approaching our shores."

Illustration passing

passing verb

/ˈpɑːsɪŋ/

To change place.

"The train is passing the station, changing location. "

Illustration lowest

lowest adjective

/ˈloʊɪst/ /ˈloʊəst/

Situated close to, or even below, the ground or another normal reference plane; not high or lofty.

"a low wall a low shelf"

Illustration elements

elements noun

/ˈel.ɪ.mənts/

One of the simplest or essential parts or principles of which anything consists, or upon which the constitution or fundamental powers of anything are based.

"Letters are the elements of written language."

Illustration actually

actually adverb

/-ɪ/ /ˈæk.(t)ʃu.ə.li/

(modal) In act or in fact; really; in truth; positively.

"Actually, I had nothing to do with that incident."

Illustration member

member noun

/ˈmɛmbə/ /ˈmɛmbɚ/

One who officially belongs to a group.

"Maria is a member of the school's chess club. "