Polynym Math

set comparison between two polynyms

Pdesign process ⊥ Pmanagement

Random Picks

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

$$A \cup B =$$
{ Clarifying Objectives, Determining Characteristics, Establishing Functions, Evaluating Alternatives, Generating Alternatives, Identifying Opportunities, Improving Details, Setting Requirements, act, check, do, plan }

Symmetric Difference

$$A \ominus B =$$
{ Clarifying Objectives, Determining Characteristics, Establishing Functions, Evaluating Alternatives, Generating Alternatives, Identifying Opportunities, Improving Details, Setting Requirements, act, check, do, plan }

Difference

$$A - B =$$
{ Clarifying Objectives, Determining Characteristics, Establishing Functions, Evaluating Alternatives, Generating Alternatives, Identifying Opportunities, Improving Details, Setting Requirements }

Difference

$$B - A =$$
{ act, check, do, plan }

Cartesian Product

$$A \times B =$$
{ (Clarifying Objectives, act),
(Clarifying Objectives, check),
(Clarifying Objectives, do),
(Clarifying Objectives, plan),
(Determining Characteristics, act),
(Determining Characteristics, check),
(Determining Characteristics, do),
(Determining Characteristics, plan),
(Establishing Functions, act),
(Establishing Functions, check),
(Establishing Functions, do),
(Establishing Functions, plan),
(Evaluating Alternatives, act),
(Evaluating Alternatives, check),
(Evaluating Alternatives, do),
(Evaluating Alternatives, plan),
(Generating Alternatives, act),
(Generating Alternatives, check),
(Generating Alternatives, do),
(Generating Alternatives, plan),
(Identifying Opportunities, act),
(Identifying Opportunities, check),
(Identifying Opportunities, do),
(Identifying Opportunities, plan),
(Improving Details, act),
(Improving Details, check),
(Improving Details, do),
(Improving Details, plan),
(Setting Requirements, act),
(Setting Requirements, check),
(Setting Requirements, do),
(Setting Requirements, plan) }
Polynym
Design methods

design process

Source
Nigel Cross
Area
Design
Mode
step
Depth
8
User
scotty

vs.
Polynym
PDCA

management

Source
W. Edwards Deming
Area
Business
Mode
step
Depth
4
User
scotty
8 steps of design process

⊥

 4 steps of management
Identifying Opportunities
Clarifying Objectives
Establishing Functions
Setting Requirements
Determining Characteristics
Generating Alternatives
Evaluating Alternatives
Improving Details

⊥

 plan
do
check
act
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