>>12570390>You'll never understand what infimum and supremum are :))Here, let me take care of the brainlet for you
>>12570374A supremum is the smallest of the upper bounds of the elements in a set. Basically like the maximum except it can be outside the set. For example in the interval [0,1), the supremum is 1. Some sets can lack maximum but have supremum, in [0,1) there's no biggest number because the reals are dense, therefore there's no max.
The infimum is the largest of the lower bounds of a set, in (0,1), the infimum is 0. It holds the same relationship with the minimum than the supremum does with the maximum.
Cheers
>t. undergrad physics major