Polynym Math

set comparison between two polynyms

Pnon-intersecting domains ⊥ Psymmetry in a plane


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

$$A \cup B =$$
{ constitutive (operational closure), glide reflection, reflection, relational (structural coupling), rotation, translation }

Symmetric Difference

$$A \ominus B =$$
{ constitutive (operational closure), glide reflection, reflection, relational (structural coupling), rotation, translation }

Difference

$$A - B =$$
{ constitutive (operational closure), relational (structural coupling) }

Difference

$$B - A =$$
{ glide reflection, reflection, rotation, translation }

Cartesian Product

$$A \times B =$$
{ (constitutive (operational closure), glide reflection),
(constitutive (operational closure), reflection),
(constitutive (operational closure), rotation),
(constitutive (operational closure), translation),
(relational (structural coupling), glide reflection),
(relational (structural coupling), reflection),
(relational (structural coupling), rotation),
(relational (structural coupling), translation) }

non-intersecting domains

Source
Maturana and Varela
Area
Enactivism
Mode
part
Depth
2
User
dane


vs.

symmetry in a plane

Area
Mathematics
Mode
type
Depth
4
User
scotty
2 parts of non-intersecting domains

4 types of symmetry in a plane
constitutive (operational closure)
relational (structural coupling)

rotation
translation
reflection
glide reflection
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