Examples of Infimum and supremum II HINDI II

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INFIMUM :_

The infimum (abbreviated inf; plural infima) of a subset S of a partially ordered set T is the greatest element in T that is less than or equal to all elements of S, if such an element exists.[Consequently, the term greatest lower bound (abbreviated as GLB) is also commonly used.

SUPRIMUM
The supremum (abbreviated sup; plural suprema) of a subset S of a partially ordered set T is the least element in T that is greater than or equal to all elements of S, if such an element exists.Consequently, the supremum is also referred to as the least upper bound (or LUB).

Here
We see some examples of Infimum (glb) and supremum (lub)

This topic mostly used in Measure theory

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[khushalyadav]

Request u to upload examples on mathematical programming plz sir

[abusufyan]

If we take a set (1 3) that is open interval we can write suprimum <=3 or not?