The Application of Group Theory in Communication Operation Pipeline System
Table 1
Description of group elements.
Definition of group element
Transformation (concept of element) and symbol
Transformation matrix (representation)
Description of pipeline object
1: Part Keep
PK: Part Keep
Pipeline hardware: keep an identical pipeline entity
2: Negative
TN: Trend Negative
Pipeline hardware: an equivalent pipeline entity in a reverse flow direction
3: Measure
UM: Uniform Measure
Shop merchant: compared with another comparable pipeline object
4: Plus
OP: Object Plus
Shop merchant: add an addible pipeline entity Commodity payment data: add an addible pipeline entity
5: Part Big
PB: Part Big
Pipeline hardware: enlarge a flow-increased pipeline entity
6: Conflict
UC: Uniform Conflict
Shop merchant: conflict with another pipeline object
7: Entity Abstract
EA: Entity Abstract
Pipeline hardware: mapped as an information object Mobile APP: mapped as an information object Shop merchant: mapped as an information object Commodity payment data: mapped as an information object
8: Positive
TP: Trend Positive
Pipeline hardware: an equivalent pipeline entity in the same flow direction
9: Concept Project
CP: Concept Project
Pipeline hardware: projected as a pipeline entity Mobile phone APP: projected as a mobile phone APP entity Shop merchant: projected as a merchant entity Commodity payment data: projected as a data entity
10: Object Minus
OM: Object Minus
Pipeline hardware: delete a delectable pipeline entity Mobile phone APP: delete a delectable pipeline entity
11: Part Small
PS: Part Small
Pipeline hardware: narrow a flow-decreased pipeline entity
