Polynym Math

set comparison between two polynyms

Plife domain ⊥ Pbrain


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

$$A \cup B =$$
{ archaea, bacteria, brainstem, cerebellum, cerebrum, eukarya }

Symmetric Difference

$$A \ominus B =$$
{ archaea, bacteria, brainstem, cerebellum, cerebrum, eukarya }

Difference

$$A - B =$$
{ archaea, bacteria, eukarya }

Difference

$$B - A =$$
{ brainstem, cerebellum, cerebrum }

Cartesian Product

$$A \times B =$$
{ (archaea, brainstem),
(archaea, cerebellum),
(archaea, cerebrum),
(bacteria, brainstem),
(bacteria, cerebellum),
(bacteria, cerebrum),
(eukarya, brainstem),
(eukarya, cerebellum),
(eukarya, cerebrum) }

life domain

Source
Carl Woese
Area
Biology
Mode
type
Depth
3
User
scotty


vs.

brain

Source
Gray
Area
Anatomy
Mode
part
Depth
3
User
scotty
3 types of life domain

3 parts of brain
archaea
bacteria
eukarya

cerebrum
cerebellum
brainstem
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