Polynym Math

set comparison between two polynyms

Parchitecture ⊥ Pgrammar


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, enclosure, hearth, mound, recursively enumerable, regular, roof }

Symmetric Difference

$$A \ominus B =$$
{ context-free, context-sensitive, enclosure, hearth, mound, recursively enumerable, regular, roof }

Difference

$$A - B =$$
{ enclosure, hearth, mound, roof }

Difference

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

Cartesian Product

$$A \times B =$$
{ (enclosure, context-free),
(enclosure, context-sensitive),
(enclosure, recursively enumerable),
(enclosure, regular),
(hearth, context-free),
(hearth, context-sensitive),
(hearth, recursively enumerable),
(hearth, regular),
(mound, context-free),
(mound, context-sensitive),
(mound, recursively enumerable),
(mound, regular),
(roof, context-free),
(roof, context-sensitive),
(roof, recursively enumerable),
(roof, regular) }

architecture

Source
Gottfried Semper
Area
Anthropology
Mode
part
Depth
4
User
scotty


vs.

grammar

Source
Noam Chomsky
Area
Linguistics
Mode
type
Depth
4
User
scotty
4 parts of architecture

4 types of grammar
hearth
roof
enclosure
mound

recursively enumerable
context-sensitive
context-free
regular
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