Polynym Math

set comparison between two polynyms

Pwife ⊥ Pphase transition


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

$$A \cup B =$$
{ condensation, deposition, freezing, friend, handmaid, ionization, master, melting, praiseworthy, recombination, sister, sublimation, undesirable, vaporization, wasteful }

Symmetric Difference

$$A \ominus B =$$
{ condensation, deposition, freezing, friend, handmaid, ionization, master, melting, praiseworthy, recombination, sister, sublimation, undesirable, vaporization, wasteful }

Difference

$$A - B =$$
{ friend, handmaid, master, praiseworthy, sister, undesirable, wasteful }

Difference

$$B - A =$$
{ condensation, deposition, freezing, ionization, melting, recombination, sublimation, vaporization }

Cartesian Product

$$A \times B =$$
{ (friend, condensation),
(friend, deposition),
(friend, freezing),
(friend, ionization),
(friend, melting),
(friend, recombination),
(friend, sublimation),
(friend, vaporization),
(handmaid, condensation),
(handmaid, deposition),
(handmaid, freezing),
(handmaid, ionization),
(handmaid, melting),
(handmaid, recombination),
(handmaid, sublimation),
(handmaid, vaporization),
(master, condensation),
(master, deposition),
(master, freezing),
(master, ionization),
(master, melting),
(master, recombination),
(master, sublimation),
(master, vaporization),
(praiseworthy, condensation),
(praiseworthy, deposition),
(praiseworthy, freezing),
(praiseworthy, ionization),
(praiseworthy, melting),
(praiseworthy, recombination),
(praiseworthy, sublimation),
(praiseworthy, vaporization),
(sister, condensation),
(sister, deposition),
(sister, freezing),
(sister, ionization),
(sister, melting),
(sister, recombination),
(sister, sublimation),
(sister, vaporization),
(undesirable, condensation),
(undesirable, deposition),
(undesirable, freezing),
(undesirable, ionization),
(undesirable, melting),
(undesirable, recombination),
(undesirable, sublimation),
(undesirable, vaporization),
(wasteful, condensation),
(wasteful, deposition),
(wasteful, freezing),
(wasteful, ionization),
(wasteful, melting),
(wasteful, recombination),
(wasteful, sublimation),
(wasteful, vaporization) }

wife

Source
Buddha
Area
Sociology
Mode
type
Depth
7
User
scotty


vs.

phase transition

Area
Physics
Mode
type
Depth
8
User
scotty
7 types of wife

8 types of phase transition
undesirable
wasteful
master
praiseworthy
sister
friend
handmaid

freezing
melting
vaporization
condensation
deposition
sublimation
ionization
recombination
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