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What is the difference between minimum and maximum?

minimum | maximum | Antonyms |

Maximum is a antonym of minimum.



In analysis terms the difference between minimum and maximum

is that minimum is a lower bound of a set which is also an element of that set while maximum is an upper bound of a set which is also an element of that set.

In statistics terms the difference between minimum and maximum

is that minimum is the smallest member of a batch or sample or the lower bound of a probability distribution while maximum is the largest value of a batch or sample or the upper bound of a probability distribution.

As nouns the difference between minimum and maximum

is that minimum is the lowest limit while maximum is the highest limit.

As adjectives the difference between minimum and maximum

is that minimum is to the lowest degree while maximum is to the highest degree.

minimum

English

Noun

(en-noun)
  • The lowest limit.
  • We prefer candidates with a minimum of 4 years experience in the field.
    We need a minimum of 3 fully-qualified staff members on duty at all time.
  • The smallest amount.
  • He always tries to get away with doing the minimum .
    Please keep noise to a minimum after 11 o'clock
  • (astronomy) A period of minimum brightness or energy intensity (of a star).
  • (analysis) A lower bound of a set which is also an element of that set.
  • (statistics) The smallest member of a batch or sample or the lower bound of a probability distribution.
  • Usage notes

    * (term) is more common plural for the technical senses.

    Antonyms

    * maximum

    Hypernyms

    * (statistics) measure of location

    Derived terms

    (terms derived from minimum) * bare minimum * global minimum * local minimum * Maunder minimum * minimum wage * moral minimum

    Adjective

    (-)
  • To the lowest degree.
  • maximum

    Noun

    (en-noun)
  • The highest limit.
  • * P. Colquhoun
  • Good legislation is the art of conducting a nation to the maximum of happiness, and the minimum of misery.
  • (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.
  • Usage notes

    * (term) is the more common plural, especially for the technical senses.

    Hypernyms

    * (statistics) measure of location

    Synonyms

    * max

    Antonyms

    * minimum

    Adjective

    (-)
  • To the highest degree.
  • Use the proper dose for the maximum effect.

    Derived terms

    * antimaximum * global maximum * local maximum * maximal * maximize * maximum break * maximum limit * submaximum