Compact Sets Contain Supremum and Infimum | Real Analysis Exercises

[@nathanisbored]

...ok I'll bite, what the hell is going on in the thumbnail

[@WrathofMath]

Haha - well, when I make a thumbnail it's nice if I can capture the content of the video precisely and in an eye catching way. For this result, no great idea occurred to me for the thumbnail when I made it. For those situations, I try to lean into an eye catching thing that represents the "spirit" of the content in the video. This thumbnail does not accomplish that, but there are several keywords I wanted to represent: compact, closed, bounded, supremum, and infimum. Compact is present in the text of the thumbnail. The left and right side of the thumbnail have brackets typical of closed sets. The table has sup on it, and the woman is sitting down (lower) and bounded (lower bound ie. infimum). It's a real hassle to make a good thumbnail sometimes, I'll tell you what!

[@calculus8399]

​@@WrathofMathnice one