Maximal vs. Maximum

Maximal vs. Maximum — Is There a Difference?
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Difference Between Maximal and Maximum

Maximaladjective

Largest, greatest (in magnitude), highest, most.

Maximumnoun

The highest limit

Maximalnoun

(mathematics) The element of a set with the greatest magnitude.

Maximumnoun

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

Maximalnoun

(mathematics) Said of an ideal of a ring or a filter of a lattice: that it is as large as it can be without being trivial (improper).

Maximumnoun

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

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Maximalnoun

(logic) Said of a set of well-formed formulas: that it is as large as it can be without being inconsistent; i.e. that for any well-formed formula φ, the set contains either φ or ~φ.

Maximumnoun

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

Maximaladjective

the greatest or most complete or best possible;

maximal expansionmaximum pressure

Maximumnoun

A 147 break; the highest possible break

Maximumnoun

A score of 180 with three darts

Maximumnoun

A scoring shot for 6 runs

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Maximumadjective

To the highest degree.

Use the proper dose for the maximum effect.

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 expansionmaximum pressure