Polynym Math

set comparison between two polynyms

Pmedia ⊥ Pdesign process


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, application, audio, example, font, image, message, model, multipart, text, video }

Symmetric Difference

$$A \ominus B =$$
{ Clarifying Objectives, Determining Characteristics, Establishing Functions, Evaluating Alternatives, Generating Alternatives, Identifying Opportunities, Improving Details, Setting Requirements, application, audio, example, font, image, message, model, multipart, text, video }

Difference

$$A - B =$$
{ application, audio, example, font, image, message, model, multipart, text, video }

Difference

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

Cartesian Product

$$A \times B =$$
{ (application, Clarifying Objectives),
(application, Determining Characteristics),
(application, Establishing Functions),
(application, Evaluating Alternatives),
(application, Generating Alternatives),
(application, Identifying Opportunities),
(application, Improving Details),
(application, Setting Requirements),
(audio, Clarifying Objectives),
(audio, Determining Characteristics),
(audio, Establishing Functions),
(audio, Evaluating Alternatives),
(audio, Generating Alternatives),
(audio, Identifying Opportunities),
(audio, Improving Details),
(audio, Setting Requirements),
(example, Clarifying Objectives),
(example, Determining Characteristics),
(example, Establishing Functions),
(example, Evaluating Alternatives),
(example, Generating Alternatives),
(example, Identifying Opportunities),
(example, Improving Details),
(example, Setting Requirements),
(font, Clarifying Objectives),
(font, Determining Characteristics),
(font, Establishing Functions),
(font, Evaluating Alternatives),
(font, Generating Alternatives),
(font, Identifying Opportunities),
(font, Improving Details),
(font, Setting Requirements),
(image, Clarifying Objectives),
(image, Determining Characteristics),
(image, Establishing Functions),
(image, Evaluating Alternatives),
(image, Generating Alternatives),
(image, Identifying Opportunities),
(image, Improving Details),
(image, Setting Requirements),
(message, Clarifying Objectives),
(message, Determining Characteristics),
(message, Establishing Functions),
(message, Evaluating Alternatives),
(message, Generating Alternatives),
(message, Identifying Opportunities),
(message, Improving Details),
(message, Setting Requirements),
(model, Clarifying Objectives),
(model, Determining Characteristics),
(model, Establishing Functions),
(model, Evaluating Alternatives),
(model, Generating Alternatives),
(model, Identifying Opportunities),
(model, Improving Details),
(model, Setting Requirements),
(multipart, Clarifying Objectives),
(multipart, Determining Characteristics),
(multipart, Establishing Functions),
(multipart, Evaluating Alternatives),
(multipart, Generating Alternatives),
(multipart, Identifying Opportunities),
(multipart, Improving Details),
(multipart, Setting Requirements),
(text, Clarifying Objectives),
(text, Determining Characteristics),
(text, Establishing Functions),
(text, Evaluating Alternatives),
(text, Generating Alternatives),
(text, Identifying Opportunities),
(text, Improving Details),
(text, Setting Requirements),
(video, Clarifying Objectives),
(video, Determining Characteristics),
(video, Establishing Functions),
(video, Evaluating Alternatives),
(video, Generating Alternatives),
(video, Identifying Opportunities),
(video, Improving Details),
(video, Setting Requirements) }
Polynym
Media type

media

Source
Internet Assigned Numbers Authority
Area
Media
Mode
type
Depth
10
User
scotty


vs.

design process

Source
Nigel Cross
Area
Design
Mode
step
Depth
8
User
scotty
10 types of media

8 steps of design process
application
audio
example
font
image
message
model
multipart
text
video

Identifying Opportunities
Clarifying Objectives
Establishing Functions
Setting Requirements
Determining Characteristics
Generating Alternatives
Evaluating Alternatives
Improving Details
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