Polynym Math

set comparison between two polynyms

PNatural Sciences ⊥ Pmeasurement


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

$$A \cup B =$$
{ Biochemistry, Biology/Microbiology, Botany, Chemistry, Earth Science/Life Science, Ecology, Geology, Meteorology, Oceanography, Physics/Cosmology, Space Science, Zoology, interval, nominal, ordinal, ratio }

Symmetric Difference

$$A \ominus B =$$
{ Biochemistry, Biology/Microbiology, Botany, Chemistry, Earth Science/Life Science, Ecology, Geology, Meteorology, Oceanography, Physics/Cosmology, Space Science, Zoology, interval, nominal, ordinal, ratio }

Difference

$$A - B =$$
{ Biochemistry, Biology/Microbiology, Botany, Chemistry, Earth Science/Life Science, Ecology, Geology, Meteorology, Oceanography, Physics/Cosmology, Space Science, Zoology }

Difference

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

Cartesian Product

$$A \times B =$$
{ (Biochemistry, interval),
(Biochemistry, nominal),
(Biochemistry, ordinal),
(Biochemistry, ratio),
(Biology/Microbiology, interval),
(Biology/Microbiology, nominal),
(Biology/Microbiology, ordinal),
(Biology/Microbiology, ratio),
(Botany, interval),
(Botany, nominal),
(Botany, ordinal),
(Botany, ratio),
(Chemistry, interval),
(Chemistry, nominal),
(Chemistry, ordinal),
(Chemistry, ratio),
(Earth Science/Life Science, interval),
(Earth Science/Life Science, nominal),
(Earth Science/Life Science, ordinal),
(Earth Science/Life Science, ratio),
(Ecology, interval),
(Ecology, nominal),
(Ecology, ordinal),
(Ecology, ratio),
(Geology, interval),
(Geology, nominal),
(Geology, ordinal),
(Geology, ratio),
(Meteorology, interval),
(Meteorology, nominal),
(Meteorology, ordinal),
(Meteorology, ratio),
(Oceanography, interval),
(Oceanography, nominal),
(Oceanography, ordinal),
(Oceanography, ratio),
(Physics/Cosmology, interval),
(Physics/Cosmology, nominal),
(Physics/Cosmology, ordinal),
(Physics/Cosmology, ratio),
(Space Science, interval),
(Space Science, nominal),
(Space Science, ordinal),
(Space Science, ratio),
(Zoology, interval),
(Zoology, nominal),
(Zoology, ordinal),
(Zoology, ratio) }

Natural Sciences

Source
Unidentified
Area
Scientific Research
Mode
type
Depth
12
User
dane


vs.

measurement

Source
Stanley Smith Stevens
Area
Psychology
Mode
step
Depth
4
User
scotty
12 types of Natural Sciences

4 steps of measurement
Physics/Cosmology
Chemistry
Biology/Microbiology
Geology
Oceanography
Meteorology
Space Science
Earth Science/Life Science
Biochemistry
Zoology
Botany
Ecology

nominal
ordinal
interval
ratio
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