Union
$$A \cup B =$$
{ aries, cancer, capricorn, earth, grass, heaven, lake, libra, mountain, river, thunder, wood }
Symmetric Difference
$$A \ominus B =$$
{ aries, cancer, capricorn, earth, grass, heaven, lake, libra, mountain, river, thunder, wood }
Difference
$$A - B =$$
{ earth, grass, heaven, lake, mountain, river, thunder, wood }
Cartesian Product
$$A \times B =$$
{ (earth, aries),
(earth, cancer),
(earth, capricorn),
(earth, libra),
(grass, aries),
(grass, cancer),
(grass, capricorn),
(grass, libra),
(heaven, aries),
(heaven, cancer),
(heaven, capricorn),
(heaven, libra),
(lake, aries),
(lake, cancer),
(lake, capricorn),
(lake, libra),
(mountain, aries),
(mountain, cancer),
(mountain, capricorn),
(mountain, libra),
(river, aries),
(river, cancer),
(river, capricorn),
(river, libra),
(thunder, aries),
(thunder, cancer),
(thunder, capricorn),
(thunder, libra),
(wood, aries),
(wood, cancer),
(wood, capricorn),
(wood, libra) }