Refers to the smallest number in an interval.
Like fmin
Basic algorithm: ifxi
1, the function f(x) is defined on the interval [a, b], let "min{f(x)|x∈D}" represent the minimum value of the function f(x) on the set d, and "max{f(x)|x∈D}" represent the function f.
2. now let f1(x) = min {f (t) | a ≤ t ≤ x} (x ∈ [a, b]), and F2 (x) = max {f (t) | a ≤ t ≤ x} (x ∈ [
Extended data
Find the maximum and minimum value of a function:
Finding the global maximum and minimum is the goal of mathematical optimization. If the function is continuous in the closed interval, there are global maxima and minima through the maximum theorem. In addition, the global maximum (or minimum) must be a local maximum (or minimum) within the domain, or it must be located on the boundary of the domain.
So the way to find the global maximum (or minimum) is to look at all the local maximum (or minimum) inside, and also look at the maximum (or minimum) of the points on the boundary, and take the maximum or minimum.
Fermat's theorem can find the differential function of local extreme value, which shows that it must happen at the critical point. We can use the first derivative test, the second derivative test or the higher derivative test to distinguish whether the critical point is a local maximum or a local minimum, and give sufficient distinguishability.
For any function defined by a segment, find the maximum (or minimum) by finding the maximum (or minimum) of each part separately, and then see which is the maximum (or minimum).
Baidu Encyclopedia -min (minimum quantity)