[{"word":"max.","phonetics":[],"meanings":[{"partOfSpeech":"noun","definitions":[{"definition":"The element of a set with the greatest magnitude.","synonyms":[],"antonyms":[]},{"definition":"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).","synonyms":[],"antonyms":[]},{"definition":"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.","synonyms":[],"antonyms":[]}],"synonyms":["maximum"],"antonyms":[]},{"partOfSpeech":"noun","definitions":[{"definition":"The highest limit","synonyms":[],"antonyms":[]},{"definition":"The greatest value of a set or other mathematical structure, especially the global maximum or a local maximum of a function","synonyms":[],"antonyms":[]},{"definition":"An upper bound of a set which is also an element of that set","synonyms":[],"antonyms":[]},{"definition":"The largest value of a batch or sample or the upper bound of a probability distribution","synonyms":[],"antonyms":[]},{"definition":"A 147 break; the highest possible break","synonyms":[],"antonyms":[]},{"definition":"A score of 180 with three darts","synonyms":[],"antonyms":[]},{"definition":"A scoring shot for 6 runs","synonyms":[],"antonyms":[]}],"synonyms":["max"],"antonyms":["minimum"]}],"license":{"name":"CC BY-SA 3.0","url":"https://creativecommons.org/licenses/by-sa/3.0"},"sourceUrls":["https://en.wiktionary.org/wiki/max.","https://en.wiktionary.org/wiki/maximal","https://en.wiktionary.org/wiki/maximum"]}]