Difference between revisions of "Partially order"
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[[Partially Ordered Set]], or [[POSet]] is a mathematical construct that relates objects of interests in terms of a single kind of inclusive or containment relationship. In mathematics, the following notations are often used to define the ordering relations between <math>A</math> and <math>B</math>. | [[Partially Ordered Set]], or [[POSet]] is a mathematical construct that relates objects of interests in terms of a single kind of inclusive or containment relationship. In mathematics, the following notations are often used to define the ordering relations between <math>A</math> and <math>B</math>. | ||
<math>A \> B</math> | <math>A > B</math>, <math>A \subset B</math>, <math>A \subseteq B</math>, <math>A \sqsubset B</math>, <math>A \succ B</math> | ||
Similarly, for inclusive or equal to the two objects of interests, the mathematical expressions can be written this way: | |||
<math>A \geq B</math>, <math>A \subseteq B</math>, <math>A \subseteqeq B</math>, <math>A \sqsubseteq B</math>, <math>A \succeq B</math> | |||
Revision as of 04:03, 26 May 2021
Partially Ordered Set, or POSet is a mathematical construct that relates objects of interests in terms of a single kind of inclusive or containment relationship. In mathematics, the following notations are often used to define the ordering relations between and .
, , , ,
Similarly, for inclusive or equal to the two objects of interests, the mathematical expressions can be written this way:
, , Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A \subseteqeq B} , ,
