maximal
IPA: mˈæksʌmʌɫ
noun
- (mathematics) The element of a set with the greatest magnitude.
- (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).
- (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.
adjective
- Largest, greatest (in magnitude), highest, most.
- (mathematics, of a sequence) Larger than any previous term in the sequence.
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Examples of "maximal" in Sentences
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