Equality
$$A \neq B$$
A is not equal to B
Subset
$$A \not\subseteq B$$
A is not a subset of or equal to B
Superset
$$A \not\supseteq B$$
A is not a superset of or equal to B
Intersection
$$A \cap B =$$
{ }
Union
$$A \cup B =$$
{ deep sleep, dreaming, free flow, superconsciousness, synchronized flow, waking, wide moving jam }
Symmetric Difference
$$A \ominus B =$$
{ deep sleep, dreaming, free flow, superconsciousness, synchronized flow, waking, wide moving jam }
Difference
$$A - B =$$
{ deep sleep, dreaming, superconsciousness, waking }
Difference
$$B - A =$$
{ free flow, synchronized flow, wide moving jam }
Cartesian Product
$$A \times B =$$
{ (deep sleep, free flow),
(deep sleep, synchronized flow),
(deep sleep, wide moving jam),
(dreaming, free flow),
(dreaming, synchronized flow),
(dreaming, wide moving jam),
(superconsciousness, free flow),
(superconsciousness, synchronized flow),
(superconsciousness, wide moving jam),
(waking, free flow),
(waking, synchronized flow),
(waking, wide moving jam) }