Polynym Math

set comparison between two polynyms

Pgrammar ⊥ Pfreedom of motion

Random Picks

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

$$A \cup B =$$
{ context-free, context-sensitive, forward/back, left/right, pitch, recursively enumerable, regular, roll, up/down, yaw }

Symmetric Difference

$$A \ominus B =$$
{ context-free, context-sensitive, forward/back, left/right, pitch, recursively enumerable, regular, roll, up/down, yaw }

Difference

$$A - B =$$
{ context-free, context-sensitive, recursively enumerable, regular }

Difference

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

Cartesian Product

$$A \times B =$$
{ (context-free, forward/back),
(context-free, left/right),
(context-free, pitch),
(context-free, roll),
(context-free, up/down),
(context-free, yaw),
(context-sensitive, forward/back),
(context-sensitive, left/right),
(context-sensitive, pitch),
(context-sensitive, roll),
(context-sensitive, up/down),
(context-sensitive, yaw),
(recursively enumerable, forward/back),
(recursively enumerable, left/right),
(recursively enumerable, pitch),
(recursively enumerable, roll),
(recursively enumerable, up/down),
(recursively enumerable, yaw),
(regular, forward/back),
(regular, left/right),
(regular, pitch),
(regular, roll),
(regular, up/down),
(regular, yaw) }
Polynym
Chomsky hierarchy

grammar

Source
Noam Chomsky
Area
Linguistics
Mode
type
Depth
4
User
scotty

vs.
Polynym
Six degrees of freedom

freedom of motion

Area
Design
Mode
type
Depth
6
User
scotty
4 types of grammar

⊥

 6 types of freedom of motion
recursively enumerable
context-sensitive
context-free
regular

⊥

 forward/back
up/down
left/right
yaw
pitch
roll
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