Mathematically, the symbol Sup{} indicates the "supremum", that is, the minimum upper bound.

It's the abbreviation of English supremum. Inf: the lower bound of the function value, inf, meaning lower bound, English name infimum. ?

Max: abbreviation of maximum function value min: minimum function value.

Represents the supremum of all infinite numbers starting from n and after n.

Therefore, it is easy to understand that the supremum of the same set is not less than the supremum, or at least it is easy to understand that it is reduced, because the former is the supremum of a larger set, and the supremum of multiple elements cannot be less than that of adjacent elements.

Set is a basic concept in mathematics and the research object of set theory. The basic theory of set theory was not founded until19th century. In the simplest terms, set is "something". The "things" in a set are called elements.

Set has unparalleled special importance in the field of mathematics. It can be said that the achievements of all branches of modern mathematics are almost based on strict set theory.

Extended data:

If+∞ and-∞ are added to the number set, the relationship between any real number A and+∞,-∞ is defined as-∞.

That is, any set of non-empty numbers must have an upper and lower supremum (including normal and abnormal).

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