It is the largest value in the set of interest. No value in the set is larger than the maximum.

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When dealing with the maximum of a function, one must sometimes be aware that the maximum in a given domain may be different from the maximum in another domain. Either or both of those "local" maxima may be different from the "global" maximum, which is the maximum over the entire domain of the function.

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When dealing with the maximum of a function, one must sometimes be aware that the maximum in a given domain may be different from the maximum in another domain. Either or both of those "local" maxima may be different from the "global" maximum, which is the maximum over the entire domain of the function.