Maximum

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Dictionary Meaning and Definition on 'Maximum'

Maximum Meaning and Definition from WordNet (r) 2.0
    maximum adj : the greatest or most complete or best possible; "maximal expansion"; "maximum pressure" [syn: maximal] [ant: minimal, minimal] n
  1. the largest possible quantity [syn: upper limit] [ant: minimum]
  2. the greatest possible degree; "he tried his utmost" [syn: utmost, uttermost, level best]
  3. the point on a curve where the tangent changes from positive on the left to negative on the right [ant: minimum] [also: maxima (pl)]
Maximum Meaning and Definition from Webster's Revised Unabridged Dictionary (1913)
    Maximum \Max"i*mum\, a. Greatest in quantity or highest in degree attainable or attained; as, a maximum consumption of fuel; maximum pressure; maximum heat.
Maximum Meaning and Definition from Webster's Revised Unabridged Dictionary (1913)
    Maximum \Max"i*mum\, n.; pl. Maxima. [L., neut. from maximus the greatest. See Maxim.] The greatest quantity or value attainable in a given case; or, the greatest value attained by a quantity which first increases and then begins to decrease; the highest point or degree; -- opposed to minimum. Good legislation is the art of conducting a nation to the maximum of happiness, and the minimum of misery. --P. Colquhoun. Maximum thermometer, a thermometer that registers the highest degree of temperature attained in a given time, or since its last adjustment.
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Wikipedia Meaning and Definition on 'Maximum'


In mathematics, maxima and minima, known collectively as extrema (singular: extremum), are the largest value (maximum) or smallest value (minimum), that a function takes in a point either within a given neighborhood (local extremum) or on the function domain in its entirety (global or absolute extremum). More generally, the maxima and minima of a set (as defined in set theory) are the greatest and least values in the set. To locate extreme values is the basic objective of optimization.

A real-valued function f defined on a real line is said to have a local (or relative) maximum point at the point x∗, if there exists some ε > 0 such that f(x∗) ≥ f(x) when |x − x∗| < ε. The value of the function at this point is called maximum of the function. Similarly, a function has a local minimum point at x∗, if f(x∗) ≤ f(x) when |x − x∗| < ε. The value of the function at this point is called minimum of the function.

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'Maximum' in famous quotation sentence


* In the long history of the world, only a few generations have been granted the role of defending freedom in its hour of maximum danger. I do not shrink from this responsibility-I welcome it. - John Fitzgerald Kennedy

* There are countless ways of achieving greatness, but any road to achieving one's maximum potential must be built on a bedrock of respect for the individual, a commitment to excellence, and a rejection of mediocrity. - Buck Rodgers

* The journalistic vision sharpens to the point of maximum impact every event, every individual and social configuration but the honing is uniform. - George Steiner


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