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
$$A \cup B =$$
{ archaeology, biological anthropology, cultural anthropology, galactic, linguistic anthropology, planetary, stellar }
Symmetric Difference
$$A \ominus B =$$
{ archaeology, biological anthropology, cultural anthropology, galactic, linguistic anthropology, planetary, stellar }
Difference
$$A - B =$$
{ archaeology, biological anthropology, cultural anthropology, linguistic anthropology }
Difference
$$B - A =$$
{ galactic, planetary, stellar }
Cartesian Product
$$A \times B =$$
{ (archaeology, galactic),
(archaeology, planetary),
(archaeology, stellar),
(biological anthropology, galactic),
(biological anthropology, planetary),
(biological anthropology, stellar),
(cultural anthropology, galactic),
(cultural anthropology, planetary),
(cultural anthropology, stellar),
(linguistic anthropology, galactic),
(linguistic anthropology, planetary),
(linguistic anthropology, stellar) }