Extension: Infimum and Supremum

Explanations 2

• A supremum is a fancy word for the smallest number xxx such that for some set SSS with elements a1,a2,...ana_1, a_2, ... a_na1​,a2​,...an​ we have x≥aix \ge a_ix≥ai​ for all i. …

  By Vincent Huang, Victor Wang

• Recall from the topic on infinite sets the definition of the supremum and infimum of a set X⊆RX\subseteq\mathbb{R}X⊆R. Definition: Let X⊂RX\subset\mathbb{R}X⊂R. The supremum of …

  By Panavia Shou, Moor Xu