Sentence examples for a relation on it from inspiring English sources

According to this, a set is an abstract structure obtained by taking a graph G (a set with a relation on it), and then associating to each node x in the graph a set in such a way that the set associated to x is the set of sets associated to the children of x in G.

Thus, even if self-identity or God's relation to the world is a mere being of reason, and hence does not actually relate its subject to anything, nonetheless it can still be regarded as a relation on the grounds that it is signified by a relational concept.

Of this, \(\langle \mathcal{G}, \mathcal{R}\rangle\) is a standard \(\mathsf{K}\) frame, where \(\mathcal{G}\) is a set of possible worlds and \(\mathcal{R}\) is a binary relation on it.

A relation on Z is defined as follows (it is easy to see that is a partially ordered set): ; and.

For simplicity, assume that causation is a relation on events.

Let, and consider a relation on as follows: (2.35).

Define the relation " " on as follows: (2.2).

In particular, a ternary relation on a set is an AR-relation if and only if it satisfies axioms R1 R6; i.e., it is a disjunctive R-relation.

A ternary relation on a set is an R-relation if and only if it satisfies conditions R1 R5; i.e., it is basic and strongly transitive.

So, if Predecessor is a one-to-one relation, it is a one-to-one relation on the natural numbers.

If Θ is an L-fuzzy relation on X, then it is denoted by the pair ( X, Θ ), and especially if L = [ 0, 1 ], then the triple ( X, Y, Θ ) is called a generalized fuzzy approximation space.