From da0bae4c69d28720843ac9b180c282952533f97d Mon Sep 17 00:00:00 2001 From: eggy Date: Thu, 26 Jan 2023 15:05:23 -0500 Subject: [PATCH] ece108: add intervals, disjoint sets --- docs/1b/ece108.md | 11 +++++++++++ 1 file changed, 11 insertions(+) diff --git a/docs/1b/ece108.md b/docs/1b/ece108.md index 9c7af5e..121202b 100644 --- a/docs/1b/ece108.md +++ b/docs/1b/ece108.md @@ -355,6 +355,10 @@ The **universal set** is the set containing everything, and is the complement of $$\mathcal U=\overline\empty$$ +Two sets are **disjoint** if they do not have any elements in common. + +$$S\cup T=\empty$$ + ### Set operations A **subset** is inside another that is a **superset**. @@ -391,3 +395,10 @@ $$ \overline S=\mathcal U-S $$ +### Intervals + +An interval can be represented as a bounded set. + +$$[a,b)=\{x\in\mathcal U|a\leq x\wedge x