Sentence examples for a relation on the from inspiring English sources

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.

The set of intervals defined on a distributed computation defines an abstraction of this distributed computation, and the traditional causality relation on events induces a relation on the set of intervals that we call I-precedence.

For example a Kripke structure is an indexed family of structures, with a relation on the index set; these structures and their close relatives are fundamental for the semantics of modal, temporal and intuitionist logic.

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

As the occurrence of a relation relies on the correlation of the observed data, we also allow for changing the direction of a relation.

From this, it is not hard to see that, for an algebraic test space A, the relation ~ of perspectivity is then an equivalence relation on the set of A-events.

From the previous equation, we have both a recursive relation on the scaling factor and a recursive relation on the quantization error.

It can be shown that a binary relation on the set of terms is an equational theory if and only if it is a substitutive congruence.

An equational theory as a set of pairs of terms amounts to a binary relation on the set of all terms.

For example, a binary relation on the universe {1,…,m} can be represented by a word w11 … w1m#…#wmm … wherewhere the relation holds of (i, j) iff wij = 1.

In our main theorems, we employ a binary relation on the metric space, which does not have to be a partial order.