Sentence examples for a formal derivation from inspiring English sources

García-Cortés and Toro [ 10] have empirically illustrated the validity of their proposal through a numerical example, but they have not presented a formal derivation of the equivalence between their model and the one formalized by Cantet and Fernando [ 2] using the quantitative genetic arguments of Lo et al. [ 1], at least when the goal is to predict breeding values.

A formal derivation plus an interpretation and soundness proof can be a proof of the derived conclusion, but that whole package is not a syntactic object.

This sort of reasoning led Clarke to a formal derivation of the Poisson distribution as a model.

A formal derivation on its own is a syntactic object but not a proof.

A formal derivation of the interaction Hamiltonian between two cavity modes can be found in [40].

Nevertheless, in an Appendix to the book he gives a formal derivation of one version of PC from other assumptions.

(A sentence φ being an axiom of a calculus C means that φ can be used in any formal derivation in C without being a member of the premisses).

A more formal derivation of this model was made later by Nicholas Kaldor, who is largely credited for its exposition.

A more formal derivation is given in [ 8].

Weak emergence is linked to processes stemming from the states and powers of constituents, with a reductive notion of downwards causation of the system as a resultant of constituents' effects; yet the connection is not a matter of Nagelian formal derivation but of implementation through, for instance, computational aggregation and iteration.

Moreover, the part of the proof which really is a syntactic object, the formal derivation, need not consist solely of sentences; it can consist of diagrams.