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ece108: add intervals, disjoint sets

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eggy 2023-01-26 15:05:23 -05:00
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docs/1b/ece108.md
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@ -355,6 +355,10 @@ The **universal set** is the set containing everything, and is the complement of
$$\mathcal U=\overline\empty$$ $$\mathcal U=\overline\empty$$
Two sets are **disjoint** if they do not have any elements in common.
$$S\cup T=\empty$$
### Set operations ### Set operations
A **subset** is inside another that is a **superset**. A **subset** is inside another that is a **superset**.
@ -391,3 +395,10 @@ $$
\overline S=\mathcal U-S \overline S=\mathcal U-S
$$ $$
### Intervals
An interval can be represented as a bounded set.
$$[a,b)=\{x\in\mathcal U|a\leq x\wedge x<b\}$$
$\empty$ is any impossible interval.