Polynym Math

set comparison between two polynyms

Pmeasurement ⊥ Pgroup development


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

$$A \cup B =$$
{ forming, interval, nominal, norming, ordinal, performing, ratio, storming }

Symmetric Difference

$$A \ominus B =$$
{ forming, interval, nominal, norming, ordinal, performing, ratio, storming }

Difference

$$A - B =$$
{ interval, nominal, ordinal, ratio }

Difference

$$B - A =$$
{ forming, norming, performing, storming }

Cartesian Product

$$A \times B =$$
{ (interval, forming),
(interval, norming),
(interval, performing),
(interval, storming),
(nominal, forming),
(nominal, norming),
(nominal, performing),
(nominal, storming),
(ordinal, forming),
(ordinal, norming),
(ordinal, performing),
(ordinal, storming),
(ratio, forming),
(ratio, norming),
(ratio, performing),
(ratio, storming) }

measurement

Source
Stanley Smith Stevens
Area
Psychology
Mode
step
Depth
4
User
scotty


vs.

group development

Source
Bruce Tuckman
Area
Sociology
Mode
step
Depth
4
User
scotty
4 steps of measurement

4 steps of group development
nominal
ordinal
interval
ratio

forming
storming
norming
performing
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