Sentence examples for notion of relation from inspiring English sources

Consequently his notion of relation can be considered the ontological equivalent to our modern functions with two variables, or two-place predicates, whereas all other authors of the Middle Ages had thought of relations in terms of monadic functions.

In this section, we discuss the notion of relation used in Open IE and position it within the grounded literature in the area of automatic relation extraction from texts.

To use the well-known case of the melody, moments of quality and of intensity form in that case a unitary whole which is perceptible as a "quality of form," and it is precisely the unitary character of this perception, the fact that it is perceptible in one stroke and immediately as unitary form, that Stumpf tries to account for with the aid of the notion of relation of fusion.

The notion of relation under the Open IE paradigm is broader than the one used in IE, as it accounts not just for a tuple of entities, such as (Aristotle, was born, Stageira), what Banko et al. call a concrete tuple [8], but also for a more general kind of relation, defined by those authors as 'unspecified or implying properties of general classes,' as in (Philosopher, is author of, book).

For the sake of terminological clarity, the neutral notion of relations between mind and matter will be used in this article.

By using five of the axioms (2 6), a variety of basic concepts of naive set theory (e.g., the operations of union, intersection, and Cartesian product; the notions of relation, equivalence relation, ordering relation, and function) can be defined with ZFC.

In addition, as mentioned previously, Zermelo has no natural way of representing either the general notions of relation or of function.

This material did not involve the general notion of ordinal and cardinal numbers, not even the general notions of relation and function.

The notions of relation, function, bijection and equinumerousness are defined as usual (still without any assumptions as to the existence of any ordered pairs).

One immediate, and quite remarkable, result of this work is that it shows how one can define the general notions of relation and function in purely set-theoretic terms.

Here, we consider a relation to be a predicate plus its typed arguments, following the mathematical notion of a relation as a function that relates two defined classes.