Difference between revisions of "System"

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  <math>R</math> is a set of relations that relates two things <math>t \in T</math>.
  <math>R</math> is a set of relations that relates two things <math>t \in T</math>.
=Systems as Categories=
=Systems as Categories=
Based on the above-mentioned definition, a system provides the data structure to represent categories. Furthermore, it is feasible to develop an Algebra of Systems<ref>{{:Paper/Algebra of Systems}}</ref>.
Based on the above-mentioned definition, a system provides the data structure to represent categories. Furthermore, it is feasible to develop an Algebra of Systems<ref>{{:Paper/Algebra of Systems}}</ref><ref>{{:Thesis/The Algebra of Open and Interconnected Systems}}</ref>.
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==Related Pages==
==Related Pages==

Latest revision as of 03:22, 7 March 2022

A system(Q58778) is defined to be a collection of related things. Therefore, all systems can be defined as a tuple of set of things, and a set of relations.

A system  can be defined as a tuple: , 

where

 is a collection of things,  and 
 is a set of relations that relates two things .

Systems as Categories

Based on the above-mentioned definition, a system provides the data structure to represent categories. Furthermore, it is feasible to develop an Algebra of Systems[1][2].

Related Pages

  1. Koo, Hsueh-Yung Benjamin; Simmons, Willard; Crawley, Edward (Nov 16, 2021). "Algebra of Systems as a Meta Language for Model Synthesis and Analysis" (PDF). local page: IEEE TRANSACTIONS ON SYSTEMS, MAN, AND CYBERNETICS. 
  2. Fong, Brendan (2016). The Algebra of Open and Interconnected Systems (PDF) (Ph.D.). local page: University of Oxford. Retrieved October 15, 2021.