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
$$A \cup B =$$
{ analyst, archetypical, empirical, hysteric, master, scientific, university }
Symmetric Difference
$$A \ominus B =$$
{ analyst, archetypical, empirical, hysteric, master, scientific, university }
Difference
$$A - B =$$
{ archetypical, empirical, scientific }
Difference
$$B - A =$$
{ analyst, hysteric, master, university }
Cartesian Product
$$A \times B =$$
{ (archetypical, analyst),
(archetypical, hysteric),
(archetypical, master),
(archetypical, university),
(empirical, analyst),
(empirical, hysteric),
(empirical, master),
(empirical, university),
(scientific, analyst),
(scientific, hysteric),
(scientific, master),
(scientific, university) }