binary relation in a sentence

Examples

1. Because a preorder is a binary relation, the symbol d " can be used as the notational device for the relation.
2. A derived binary relation between two sets is the subset relation, also called "'set inclusion " '.
3. Unlike most structures in order theory, a cyclic order is not modeled as a binary relation, such as " ".
4. They belong to the class of binary relations but they have three additional properties : reflexivity, anti-symmetry and transitivity.
5. If is a critical pair, then the binary relation obtained from by adding the single relationship is also a partial order.
6. Recall that a preorder on " X " is a binary relation on " X " which is transitive.
7. Binary relations are used in many branches of mathematics to model concepts like " function is defined as a special kind of binary relation.
8. Binary relations are used in many branches of mathematics to model concepts like " function is defined as a special kind of binary relation.
9. In some fields, it is common to use infix notation for binary relations and functions, instead of the prefix notation defined above.
10. Formally, ZFC is a signature has equality and a single primitive binary relation, set membership, which is usually denoted  ".