Difference between revisions of "System"
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A system is defined to be a collection of things | A {{WikiEntry|key=system|qCode=58778}} is defined to be a [[collection]] of [[relation|related]] things. Therefore, all systems can be defined as a tuple of set of things, and a set of relations. | ||
A system <math>S</math> can be defined as a tuple: <math>\{T, R\}</math>, | A system <math>S</math> can be defined as a tuple: <math>\{T, R\}</math>, | ||
where | where | ||
<math>T</math> is a collection of things, <math>T = \{t | t \in T \}</math> and | <math>T</math> is a collection of things, <math>T = \{t | t \in T \}</math> and | ||
<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= | |||
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>. | |||
<noinclude> | <noinclude> | ||
==Related Pages== | ==Related Pages== | ||
*[[ | *[[Category:Systems Engineering]] | ||
*[[Category:Category Theory]] | |||
*[[Category:AoS]] | |||
</noinclude> | </noinclude> | ||
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
- ↑ 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.
- ↑ Fong, Brendan (2016). The Algebra of Open and Interconnected Systems (PDF) (Ph.D.). local page: University of Oxford. Retrieved October 15, 2021.