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What is the difference between a maximum and a minimum?
What is the difference between a maximum and a minimum point?
Does a function have an absolute maximum and a minimum?
Where is a maximum and a minimum?
As defined in set theory, the maximum and minimum of a set are the greatest and least elements in the set, respectively. Unbounded infinite sets, such as the set of real numbers, have no minimum or maximum. In statistics, the corresponding concept is the sample maximum and minimum.
The maximum or minimum over the entire function is called an "Absolute" or "Global" maximum or minimum. Assuming this function continues downwards to left or right: The Global Maximum is about 3.7
Nov 6, 2011 · The Extreme Value Theorem guarantees that a continuous function on a finite closed interval has both a maximum and a minimum, and that the maximum and the minimum are each at either a critical point, or at one of the endpoints of the interval.
Maxima and minima are the maximum or the minimum value of a function within the given set of ranges. For the function, under the entire range, the maximum value of the function is known as the absolute maxima and the minimum value is known as the absolute minima.
Nov 10, 2020 · A function may have both an absolute maximum and an absolute minimum, have just one absolute extremum, or have no absolute maximum or absolute minimum. If a function has a local extremum, the point at which it occurs must be a critical point.
In mathematics, the maximum and minimum of a set A is the largest and smallest element of A. They are written as () and (), respectively. [1] Similarly, the maximum and minimum of a function are the largest and smallest value that the function takes at a given point.
A high point is called a maximum (plural maxima). A low point is called a minimum (plural minima). The general word for maximum or minimum is extremum (plural extrema). We say local maximum (or minimum) when there may be higher (or lower) points elsewhere but not nearby.
