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).
We are too isolated to disregard the longer term consequences of our relations with our largest neighbour, and not remote enough to remain virtuously wedded to our principles on this issue.
The consequences of these relations for the general design, implementation, interpretation, and scale-up of salts screens are also explored.
In subsequent sections, we will discuss some of the evolutionary consequences of the relations shown in Equation 9. Equations 5 and 6, which are equivalent, encompass all factors, both deterministic and stochastic, that contribute to change in mean phenotype in an open population (one subject to immigration or emigration).
In this study, we evaluate the consequences of and relation between wind selectivity and compensation for wind drift among vector-orienting, nocturnally migrating passerines.
The specific focus of this study, i.e. the implementation of EMRs, is a setting where paper-based records were previously used and which can have huge consequences in terms of relations among key actors within hospitals [ 28].
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.
Although the thermoelastic damping is a direct consequence of thermodynamic relations, its influence in macroscopic systems can be considered as negligible.
