What is the difference between supremum and maximum?
supremum | maximum | Related terms |
(mathematics) (of a subset ) the least element of the containing set that is greater or equal to all elements of the subset. The supremum may or may not be a member of the subset.
The highest limit.
* P. Colquhoun
(mathematics) The greatest value of a set or other mathematical structure, especially the global maximum or a local maximum of a function.
(analysis) An upper bound of a set which is also an element of that set.
(statistics) The largest value of a batch or sample or the upper bound of a probability distribution.
(colloquial, snooker) A 147 break; the highest possible break.
(colloquial, darts) A score of with three darts.
(colloquial, cricket) A scoring shot for 6 runs.
To the highest degree.
Maximum is a related term of supremum.
In mathematics terms the difference between supremum and maximum
is that supremum is (of a subset) the least element of the containing set that is greater or equal to all elements of the subset. The supremum may or may not be a member of the subset while maximum is the greatest value of a set or other mathematical structure, especially the global maximum or a local maximum of a function.As an adjective maximum is
to the highest degree.supremum
English
(wikipedia supremum)Noun
(suprema)Synonyms
* least upper boundAntonyms
* infimumAnagrams
* ----maximum
English
(wikipedia maximum)Noun
(en-noun)- Good legislation is the art of conducting a nation to the maximum of happiness, and the minimum of misery.
Usage notes
* (term) is the more common plural, especially for the technical senses.Hypernyms
* (statistics) measure of locationSynonyms
* maxAntonyms
* minimumAdjective
(-)- Use the proper dose for the maximum effect.