Polynym Math

set comparison between two polynyms

Plegitimate rule ⊥ Pcell


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

$$A \cup B =$$
{ charismatic authority, eukaryote, legal authority, prokaryote, traditional authority }

Symmetric Difference

$$A \ominus B =$$
{ charismatic authority, eukaryote, legal authority, prokaryote, traditional authority }

Difference

$$A - B =$$
{ charismatic authority, legal authority, traditional authority }

Difference

$$B - A =$$
{ eukaryote, prokaryote }

Cartesian Product

$$A \times B =$$
{ (charismatic authority, eukaryote),
(charismatic authority, prokaryote),
(legal authority, eukaryote),
(legal authority, prokaryote),
(traditional authority, eukaryote),
(traditional authority, prokaryote) }

legitimate rule

Source
Max Weber
Area
Sociology
Mode
type
Depth
3
User
scotty


vs.

cell

Area
Biology
Mode
type
Depth
2
User
scotty
3 types of legitimate rule

2 types of cell
legal authority
traditional authority
charismatic authority

prokaryote
eukaryote
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