Sentence examples for consequence of relations from inspiring English sources

This theorem is a consequence of relations (2); the proof (conducted by induction) is straightforward and is omitted.

But this is not a consequence of relation (9).

An important consequence of relation (3) is that the error profile δzerr(x) can be obtained if the "calibration factor" ∂I/∂z is known: δ z err = Δ I err ( x ) ∂ I ∂ z ( x, z true ( x ) ) (4).

For these, Kennan explored the history, effect, and possible consequences of relations between Russia and the West.

The category $\Delta $ is the universal category with objects $[n]$, $n \geq 0$ and morphisms $\delta ^ n_ j$ and $\sigma ^ n_ j$ such that (a) every morphism is a composition of these morphisms, (b) the relations listed in Lemma 14.2.3 are satisfied, and (c) any relation among the morphisms is a consequence of those relations.

Additionally, Congress has used commercial relations as a basis for establishing, as a part of or consequence of those relations, many important rights -- among them, labor rights, civil rights against discrimination, and civil and criminal protections against all sorts of violent or predatory behaviors.

This achieves nothing for children but has the consequence of damaging relations between parents and the education authority due to failures of bureaucracy.

Although the thermoelastic damping is a direct consequence of thermodynamic relations, its influence in macroscopic systems can be considered as negligible.

The consequence of the relations is that the native citizen who is taxed may have domicile, and the property from which his income is derived may have situs, in a foreign country and the tax be legal—the government having power to impose the tax.

As a consequence of these relations v4 is restricted to zero, i.e. v4 is a blocked reaction.

As a consequence of these relations, it is possible to systematically establish how the blocked reactions are connected through the gap metabolites.