0%

infimum

in·fi·mum
I i

Transcription

    • US Pronunciation
    • US IPA
    • [in-fahy-muh m, -fee-]
    • /ɪnˈfaɪ məm, -ˈfi-/
    • US Pronunciation
    • US IPA
    • [in-fahy-muh m, -fee-]
    • /ɪnˈfaɪ məm, -ˈfi-/

Definitions of infimum word

  • abbreviation Technical meaning of INFIMUM greatest lower bound 3
  • noun infimum greatest lower bound. Abbreviation: inf. 1
  • noun infimum (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. 1
  • noun Definition of infimum in Technology (theory)   (glb, meet, infimum) The greatest lower bound of two elements, a and b is an element c such that c <= a and c <= b and if there is any other lower bound c' then c' <= c. The greatest lower bound of a set S is the greatest element b such that for all s in S, b <= s. The glb of mutually comparable elements is their minimum but in the presence of incomparable elements, if the glb exists, it will be some other element less than all of them. glb is the dual to least upper bound. (In LaTeX "<=" is written as \sqsubseteq, the glb of two elements a and b is written as a \sqcap b and the glb of set S as \bigsqcap S). 1
  • noun infimum the greatest lower bound 0

Information block about the term

Origin of infimum

First appearance:

before 1935
One of the 8% newest English words
1935-40; < Latin, noun use of neuter of infimus lowest (superlative of inferus low)

Historical Comparancy

Parts of speech for Infimum

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation

infimum popularity

A pretty common term. Usually people know it’s meaning, but prefer to use a more spread out synonym. About 61% of English native speakers know the meaning and use word.
According to our data about 63% of words is more used. This is a rare but used term. It occurs in the pages of specialized literature and in the speech of educated people.

infimum usage trend in Literature

This diagram is provided by Google Ngram Viewer

See also

Matching words

Was this page helpful?
Yes No
Thank you for your feedback! Tell your friends about this page
Tell us why?