Supremum vs. Maximum

Supremumnoun

(set theory) (real analysis): Given a subset X of R, the smallest real number that is ≥ every element of X; (order theory): given a subset X of a partially ordered set P (with partial order ≤), the least element y of P such that every element of X is ≤ y.

Maximumnoun

The highest limit

Maximumnoun

(mathematics) The greatest value of a set or other mathematical structure, especially the global maximum or a local maximum of a function

Maximumnoun

(analysis) An upper bound of a set which is also an element of that set

Maximumnoun

(statistics) The largest value of a batch or sample or the upper bound of a probability distribution

Maximumnoun

A 147 break; the highest possible break

Maximumnoun

A score of 180 with three darts

Maximumnoun

A scoring shot for 6 runs

Maximumadjective

To the highest degree.

‘Use the proper dose for the maximum effect.’;

Maximumnoun

The greatest quantity or value attainable in a given case; or, the greatest value attained by a quantity which first increases and then begins to decrease; the highest point or degree; - opposed to minimum.

‘Good legislation is the art of conducting a nation to the maximum of happiness, and the minimum of misery.’;

Maximumadjective

Greatest in quantity or highest in degree attainable or attained; as, a maximum consumption of fuel; maximum pressure; maximum heat.

Maximumnoun

the largest possible quantity

Maximumnoun

the greatest possible degree;

‘he tried his utmost’;

Maximumnoun

the point on a curve where the tangent changes from positive on the left to negative on the right

Maximumadjective

the greatest or most complete or best possible;

‘maximal expansion’; ‘maximum pressure’;

Maximumadjective

as great, high, or intense as possible or permitted

‘the vehicle's maximum speed’; ‘a maximum penalty of ten years' imprisonment’;

Maximumadjective

denoting the greatest or highest point or amount attained

‘the maximum depth of the pool is 6 feet’;

Maximumnoun

the greatest amount, extent, or intensity possible, permitted, or recorded

‘production levels are near their maximum’; ‘the school takes a maximum of 32 pupils’;

Maximumnoun

a maximum permitted custodial sentence for an offence

‘an offence which carries a maximum of 14 years’;

Maximumadverb

at the most

‘the table has a length of 4 feet maximum’;