Etymology
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maximum (n.)

"the greatest amount, quantity, or degree," 1740, from French maximum and directly from Latin maximum (plural maxima), neuter of maximus "greatest," which is superlative of magnus "great, large, big" (of size), "abundant" (of quantity), "great, considerable" (of value), "strong, powerful" (of force); of persons, "elder, aged," also, figuratively, "great, mighty, grand, important," from PIE *mag-samo-, superlative form of root *meg- "great."

maximum (adj.)

"greatest, at the maximum," 1834, from maximum (n.).

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Definitions of maximum
1
maximum (n.)
the largest possible quantity;
Synonyms: upper limit
maximum (n.)
the greatest possible degree;
Synonyms: utmost / uttermost / level best
maximum (n.)
the point on a curve where the tangent changes from positive on the left to negative on the right;
2
maximum (adj.)
the greatest or most complete or best possible;
maximum pressure
Synonyms: maximal
From wordnet.princeton.edu