Polynym Math

set comparison between two polynyms

Pmood ⊥ Phealth


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

$$A \cup B =$$
{ angry, bored, emotional, happy, intellectual, occupational, peaceful, physical, social, spiritual }

Symmetric Difference

$$A \ominus B =$$
{ angry, bored, emotional, happy, intellectual, occupational, peaceful, physical, social, spiritual }

Difference

$$A - B =$$
{ angry, bored, happy, peaceful }

Difference

$$B - A =$$
{ emotional, intellectual, occupational, physical, social, spiritual }

Cartesian Product

$$A \times B =$$
{ (angry, emotional),
(angry, intellectual),
(angry, occupational),
(angry, physical),
(angry, social),
(angry, spiritual),
(bored, emotional),
(bored, intellectual),
(bored, occupational),
(bored, physical),
(bored, social),
(bored, spiritual),
(happy, emotional),
(happy, intellectual),
(happy, occupational),
(happy, physical),
(happy, social),
(happy, spiritual),
(peaceful, emotional),
(peaceful, intellectual),
(peaceful, occupational),
(peaceful, physical),
(peaceful, social),
(peaceful, spiritual) }

mood

Source
2DES
Area
Psychology
Mode
type
Depth
4
User
scotty


vs.

health

Area
Metaphysics
Mode
type
Depth
6
User
kemp
4 types of mood

6 types of health
happy
angry
bored
peaceful

physical
intellectual
emotional
social
occupational
spiritual
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