Union
$$A \cup B =$$
{ body, electric, fossil, gravitational, hydric, organic, solar, soul, spirit, thermal, wind }
Symmetric Difference
$$A \ominus B =$$
{ body, electric, fossil, gravitational, hydric, organic, solar, soul, spirit, thermal, wind }
Difference
$$A - B =$$
{ electric, fossil, gravitational, hydric, organic, solar, thermal, wind }
Cartesian Product
$$A \times B =$$
{ (electric, body),
(electric, soul),
(electric, spirit),
(fossil, body),
(fossil, soul),
(fossil, spirit),
(gravitational, body),
(gravitational, soul),
(gravitational, spirit),
(hydric, body),
(hydric, soul),
(hydric, spirit),
(organic, body),
(organic, soul),
(organic, spirit),
(solar, body),
(solar, soul),
(solar, spirit),
(thermal, body),
(thermal, soul),
(thermal, spirit),
(wind, body),
(wind, soul),
(wind, spirit) }