Table of Contents
Meaning of Minimum
Minimum is the smallest possible quantity of something. It is the least amount that is possible.
Meaning of Min (Minimum)
Minimum is the least possible value of a given quantity. It is the smallest value that a particular quantity can have.
Minimum in Mathematics
A “minimum” in mathematics is a value that is less than all other values in a set. For example, the minimum value in the set {1, 2, 3, 4} is 1, since it is less than all other values in the set.
Maxima or Minima of a Function
A maximum (maxima) of a function is a point where the function produces the largest value within a given interval. A minimum (minima) of a function is a point where the function produces the smallest value within a given interval.
In Relation to Sets
A set is a collection of objects.
In mathematics, a set is usually denoted by a capital letter, such as A, B, or C. The objects that make up a set are called its elements.
For example, the set of all natural numbers is denoted by the letter N. The set of all even numbers is denoted by the letter E.
In order to identify a set, you need to know its elements. For the set N, the elements are the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and so on.
For the set E, the elements are the numbers 2, 4, 6, 8, 10, 12, 14, 16, 18, and so on.
Absolute Minimum and Maximum
The absolute minimum and maximum are the smallest and largest possible values that a function can take on.
