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Marchand: momox-shop.fr, Marque: Guido Moellering, Prix: 101.49 €, Devise: €, Disponibilité: in_stock, Livraison: 0.0 €, Catégorie: Livres et magazines, Titre: Guido Moellering Trust: Reason, Routine, Reflexivity
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How to check reflexivity, antisymmetry, and transitivity?
Reflexivity can be checked by verifying if every element in the set relates to itself. Antisymmetry can be checked by ensuring that if (a, b) and (b, a) are in the relation, then a must be equal to b. Transitivity can be checked by confirming that if (a, b) and (b, c) are in the relation, then (a, c) must also be in the relation. These properties can be verified by examining the elements and pairs in the relation and applying the definitions of reflexivity, antisymmetry, and transitivity.
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How do you check reflexivity, antisymmetry, and transitivity?
To check reflexivity, we verify if every element in the set relates to itself. For antisymmetry, we confirm that if (a,b) and (b,a) are both in the relation, then a must equal b. Finally, to check transitivity, we ensure that if (a,b) and (b,c) are in the relation, then (a,c) must also be in the relation. These properties are fundamental in determining if a relation is an equivalence relation or a partial order.
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