Polynym Math

set comparison between two polynyms

Pfreedom of motion ⊥ Pstar sign


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

$$A \cup B =$$
{ aquarius, aries, cancer, capricorn, forward/back, gemini, left/right, leo, libra, pisces, pitch, roll, sagittarius, scorpio, taurus, up/down, virgo, yaw }

Symmetric Difference

$$A \ominus B =$$
{ aquarius, aries, cancer, capricorn, forward/back, gemini, left/right, leo, libra, pisces, pitch, roll, sagittarius, scorpio, taurus, up/down, virgo, yaw }

Difference

$$A - B =$$
{ forward/back, left/right, pitch, roll, up/down, yaw }

Difference

$$B - A =$$
{ aquarius, aries, cancer, capricorn, gemini, leo, libra, pisces, sagittarius, scorpio, taurus, virgo }

Cartesian Product

$$A \times B =$$
{ (forward/back, aquarius),
(forward/back, aries),
(forward/back, cancer),
(forward/back, capricorn),
(forward/back, gemini),
(forward/back, leo),
(forward/back, libra),
(forward/back, pisces),
(forward/back, sagittarius),
(forward/back, scorpio),
(forward/back, taurus),
(forward/back, virgo),
(left/right, aquarius),
(left/right, aries),
(left/right, cancer),
(left/right, capricorn),
(left/right, gemini),
(left/right, leo),
(left/right, libra),
(left/right, pisces),
(left/right, sagittarius),
(left/right, scorpio),
(left/right, taurus),
(left/right, virgo),
(pitch, aquarius),
(pitch, aries),
(pitch, cancer),
(pitch, capricorn),
(pitch, gemini),
(pitch, leo),
(pitch, libra),
(pitch, pisces),
(pitch, sagittarius),
(pitch, scorpio),
(pitch, taurus),
(pitch, virgo),
(roll, aquarius),
(roll, aries),
(roll, cancer),
(roll, capricorn),
(roll, gemini),
(roll, leo),
(roll, libra),
(roll, pisces),
(roll, sagittarius),
(roll, scorpio),
(roll, taurus),
(roll, virgo),
(up/down, aquarius),
(up/down, aries),
(up/down, cancer),
(up/down, capricorn),
(up/down, gemini),
(up/down, leo),
(up/down, libra),
(up/down, pisces),
(up/down, sagittarius),
(up/down, scorpio),
(up/down, taurus),
(up/down, virgo),
(yaw, aquarius),
(yaw, aries),
(yaw, cancer),
(yaw, capricorn),
(yaw, gemini),
(yaw, leo),
(yaw, libra),
(yaw, pisces),
(yaw, sagittarius),
(yaw, scorpio),
(yaw, taurus),
(yaw, virgo) }

freedom of motion

Area
Design
Mode
type
Depth
6
User
scotty


vs.

star sign

Area
Astrology
Mode
type
Depth
12
User
kemp
6 types of freedom of motion

12 types of star sign
forward/back
up/down
left/right
yaw
pitch
roll

aries
taurus
gemini
cancer
leo
virgo
libra
scorpio
sagittarius
capricorn
aquarius
pisces
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