The element of a set with the greatest magnitude.
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).
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.
The highest limit
The greatest value of a set or other mathematical structure, especially the global maximum or a local maximum of a function
An upper bound of a set which is also an element of that set
The largest value of a batch or sample or the upper bound of a probability distribution
A 147 break; the highest possible break
A score of 180 with three darts
A scoring shot for 6 runs