For instance, Newton's second law tells us that each specific, determinate mass m (a scalar, and so a monadic property) and total impressed force f (a vector, and so a relational property) stand in the N-relation to the appropriate relation (vector) of acceleration a (= f/m).
It is well and fine to say that a propositional attitude report involves an utterance of an embedded sentence which samesays something that that the subject of the report bears the appropriate relation to.
Because functional similarity is the appropriate relation for analogy, it is not necessary for analogues to have the same function as a consequence of common ancestry similarity despite different origins suffices (Ghiselin 2005).
On the simple desire-belief model, an intention is a combination of desire-belief states, and an action is intentional in virtue of standing in the appropriate relation to these simpler states.
When the processes at work in the social fact then begin to outstrip particular institutional feedback mechanisms that maintain it within the institution, then the institution must be transformed if it is to stand in the appropriate relation to the facts that make it feasible and realizable.
It contains the germ of a mathematical equivalence proof, but it does not contain a rigorous proof of equivalency: the mathematical framework that Schrödinger associated with wave mechanics is a space of continuous and normalizable functions, which is too small to establish the appropriate relation with matrix mechanics.
The appropriate relations are selected from an infinite (or, at least, near-infinite) variety of possible relations (e.g., Rosenblueth and Wiener 1945; Lowry 1965; Winther 2015 forthcoming).
All of them are, or resemble, inductive definitions: they claim that certain entities belong unconditionally to the class of artworks, while others do so because they stand in the appropriate relations thereto.
We start with two weak solutions ( u 1, q 1, z 1 ) and ( u 2, q 2, z 2 ) of the initial boundary value problem (2.9 - 2.17) corresponding to the given data h 1 = h ( η ¯ 1 ), q in 1, q w 1, q out 1 and h 2 = h ( η ¯ 2 ), q in 2, q w 2, q out 2, respectively, and form the difference of the appropriate relations (2.21).
Since the ring R = RFM N ( K ) ≅ End K ( V ) has module type ( 1, 2 ), by Lemma there necessarily exists a set of four elements in R which satisfy the appropriate relations; for clarity, we note that one such set is given by Y 1 = ( δ i, 2 i - 1 ), Y 2 = ( δ i, 2 i ), X 1 = ( δ 2 i - 1, i ), and X 2 = ( δ 2 i, i ).
Therefore, the Diagram Reasoner uses the translateNextWord method until it reaches the < RelationshipRef construct and analyzes its From and To properties to create the appropriate relations in the ontology.
