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There are 4 seven-letter words beginning with MAXIM

MAXIMALmaximal adj. Largest, greatest (in magnitude), highest, most.
maximal n. (Mathematics) The element of a set with the greatest magnitude.
maximal n. (Mathematics) Said of an ideal of a ring or a filter of a lattice: that it is as large as it can be…
MAXIMINmaximin n. In decision theory and game theory etc, a rule to identify the worst outcome of each possible option…
maximin v. To employ a maximin algorithm.
MAXIMIN n. the highest value in a set of minimum values.
MAXIMUMmaximum n. The highest limit.
maximum n. (Mathematics) The greatest value of a set or other mathematical structure, especially the global maximum…
maximum n. (Mathematical analysis) An upper bound of a set which is also an element of that set.
MAXIMUSMaximus prop.n. A male given name.
MAXIMUS n. a very long bell ringing sequence on twelve bells.

Scrabble words — in black are valid world wide — in RED are not valid in North America — in GREEN are valid only in North America.
Definitions are short excerpt from the WikWik.org and 1Word.ws.

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