Quartz sync: Mar 6, 2025, 1:07 PM

content/Definitions/Functions/Infimum.md

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+# Definition
+Say we have $A_{m} = \{ x_{n}\, | \, n \geq m \}$
+Then $\inf A =$ greatest lower bound of $A$.
+> [!note] What is the "lower bound"?
+> $c \lt a,\ \forall a \in A$
+
+The infimum is denoted by $\inf$.

content/Definitions/Functions/Supremum.md

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+# Definition
+Say we have $A_{m} = \{ x_{n}\, | \, n \geq m \}$
+Then $\sup A$ is the least upper bound of $A$.
+
+The **supremum** is denoted by $\sup$.