Polynym Math

set comparison between two polynyms

Pmilitary intelligence ⊥ PNatural Sciences

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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, analysis, collection, dissemination, feedback, processing, requirements }

Symmetric Difference

$$A \ominus B =$$
{ Biochemistry, Biology/Microbiology, Botany, Chemistry, Earth Science/Life Science, Ecology, Geology, Meteorology, Oceanography, Physics/Cosmology, Space Science, Zoology, analysis, collection, dissemination, feedback, processing, requirements }

Difference

$$A - B =$$
{ analysis, collection, dissemination, feedback, processing, requirements }

Difference

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

Cartesian Product

$$A \times B =$$
{ (analysis, Biochemistry),
(analysis, Biology/Microbiology),
(analysis, Botany),
(analysis, Chemistry),
(analysis, Earth Science/Life Science),
(analysis, Ecology),
(analysis, Geology),
(analysis, Meteorology),
(analysis, Oceanography),
(analysis, Physics/Cosmology),
(analysis, Space Science),
(analysis, Zoology),
(collection, Biochemistry),
(collection, Biology/Microbiology),
(collection, Botany),
(collection, Chemistry),
(collection, Earth Science/Life Science),
(collection, Ecology),
(collection, Geology),
(collection, Meteorology),
(collection, Oceanography),
(collection, Physics/Cosmology),
(collection, Space Science),
(collection, Zoology),
(dissemination, Biochemistry),
(dissemination, Biology/Microbiology),
(dissemination, Botany),
(dissemination, Chemistry),
(dissemination, Earth Science/Life Science),
(dissemination, Ecology),
(dissemination, Geology),
(dissemination, Meteorology),
(dissemination, Oceanography),
(dissemination, Physics/Cosmology),
(dissemination, Space Science),
(dissemination, Zoology),
(feedback, Biochemistry),
(feedback, Biology/Microbiology),
(feedback, Botany),
(feedback, Chemistry),
(feedback, Earth Science/Life Science),
(feedback, Ecology),
(feedback, Geology),
(feedback, Meteorology),
(feedback, Oceanography),
(feedback, Physics/Cosmology),
(feedback, Space Science),
(feedback, Zoology),
(processing, Biochemistry),
(processing, Biology/Microbiology),
(processing, Botany),
(processing, Chemistry),
(processing, Earth Science/Life Science),
(processing, Ecology),
(processing, Geology),
(processing, Meteorology),
(processing, Oceanography),
(processing, Physics/Cosmology),
(processing, Space Science),
(processing, Zoology),
(requirements, Biochemistry),
(requirements, Biology/Microbiology),
(requirements, Botany),
(requirements, Chemistry),
(requirements, Earth Science/Life Science),
(requirements, Ecology),
(requirements, Geology),
(requirements, Meteorology),
(requirements, Oceanography),
(requirements, Physics/Cosmology),
(requirements, Space Science),
(requirements, Zoology) }
Polynym
Failure in the intelligence cycle

military intelligence

Area
Politics
Mode
step
Depth
6
User
scotty

vs.
Polynym
Branches of science

Natural Sciences

Source
Unidentified
Area
Scientific Research
Mode
type
Depth
12
User
dane
6 steps of military intelligence

⊥

 12 types of Natural Sciences
requirements
collection
processing
analysis
dissemination
feedback

⊥

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