Sentence examples for and consequently the method from inspiring English sources

However, if η is not subadditive, then the relationship ≼ defined by (1) may not be a partial order on X, and consequently the method used there becomes invalid.

However, if P is non-normal then the sandwich theorem does not hold in the sense of norm-convergence, and consequently, the method used in the proof of Theorem 1 may become invalid.

As a result, one can claim an original misclassification and, consequently, the method can be used to cure errors in a given protein function classification.

For example, in [9], it was proved that all the nilpotent centers are limit of linear type centers; and consequently, the Poincare Lyapunov method to find linear type centers can be also used to find the nilpotent centers.

Each gene finder was employed on the same genome and, consequently, the four methods ideally should have predicted identical genes.

Further, the utility of diisocyanate antibody testing as evidence of exposure or disease is very limited due to lack of method standardization and lack of population normative data, and consequently the validity of the method is limited.

Because the proposed estimation method makes use of dose equivalent rates on the surface of the right temporal lobe, other factors, that may affect brain uptake of FDG and, consequently, the accuracy of the method, should be considered.

Each of these landforms are a potential source of water and chemical release to adjacent surface and groundwater, and consequently, the development of methods to track water migration through these landforms is of importance.

Human dose ranging studies of ketamine are scarce and consequently the doses and methods of administration of ketamine in clinical studies are numerous.

The sEMG signals generated by motor units are nonstationary and multicomponent in nature and, consequently, the optimal signal analysis method remains to be elucidated.

Hence it is safe to neglect the change in h (z ) before and after the administration of gold nanocages and consequently the cross-referencing characterization method (Eq. (4)) is applicable.