definition of structure
Topics
About: structure
The table of contents of this article
- Starting Context
- Target Context
- Orientation
- Main Body
- 1: Structured Description
- 2: Natural Language Description
- 3: Note
Starting Context
- The reader knows a definition of set.
Target Context
- The reader will have a definition of structure.
Orientation
There is a list of definitions discussed so far in this site.
There is a list of propositions discussed so far in this site.
Main Body
1: Structured Description
Here is the rules of Structured Description.
Entities:
\(*S\): \(\in \{\text{ the sets }\}\), with any collection of finite-arguments operations by which the set is closed, while each of some operations may involve some other structures
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Conditions:
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2: Natural Language Description
Any set, \(S\), with any collection of finite-arguments operations by which the set is closed, while each of some operations may involve some other structures
3: Note
As an example of "each of some operations may involve some other structures", any vectors space has the scalar multiplication operation, which involves the field, which is another structure. So, some of "finite-arguments" may be of some other structures.
