Sentence examples for analytical consequence from inspiring English sources

The result present in this paper can be seen as a tensor analytical consequence of the artificial viscosity in general curvilinear coordinates when using consistent metric tensors.

Begin with a purely conceptual point: we would like our understanding of "reduce to" to be such that it is a purely logical or analytical consequence of, for example, the claim that facts about tables reduce to facts about spacetime points, that facts about spacetime points do not reduce to facts about tables.

In addition to the above, there is also the problem of 'clustering of data' as several scores are collected in one subject, which has important analytical consequences.

As a consequence, analytical expressions are obtained for the concentration, dimensions and distribution of heterophase ω clusters.

As a consequence, numerous analytical modelling approaches can be found in literature.

As a consequence, the analytical method is more accurate than the graphical method.

As a consequence, the analytical and the Monte Carlo approximations of the RMSE proposed in the paper are independent of the sign of δ γ.

As a consequence, no analytical solution for solving this problem in a reasonable time is known to exist and one has to rely on approximation techniques.

In consequence, the analytical expression of T K is different for situations (i) L c ≪ L K ≪ L, (ii) L c ≪ L ≪ L K, and (iii) L ≪ L c ≪ L K, where L is the size of the ring.

The definition of vitamin D insufficiency by serum levels of 25-hydroxyvitamin D depends on the clinical outcome but might also be a consequence of analytical methods used for the definition.

We first aimed to identify sample outliers that exhibited extreme metabolite profiles as a consequence of analytical error.