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a. a value of a function that is greater than any neighbouring value
b. a stationary point on a curve at which the tangent changes from a positive value on the left of this point to a negative value on the right
c. the largest number in a set
a. the time at which the brightness of a variable star has its greatest value
b. the magnitude of the star at that time
The maximum of a real-valued function is the greatest value it assumes. Abbreviated max.