Sentence examples for validity of relation from inspiring English sources

Therefore, in order to end the proof, it remains to establish the validity of relation (7.3).

Lemma 4.4 (respectively, Lemma 4.2) implies that condition (1a) (respectively, condition (1b)) is sufficient for the existence and positivity of Green's functions g i (t, s), i = 1,..., n, of periodic problems (2.1), (2.2) and for the validity of relation (2.4).

Concerns about the validity of the relation between repetitive workplace stress and injury led to a congressionally requested study by the National Research Council and the Institute of Medicine, both at the National Academy of Sciences.

We will discuss the validity of this relation in "Comparison with experimental data" section.

Second, the validity of the relation lies in experimental use of dioctyl sebacate particles generated by evaporation condensation.

General validity of the relation under low density ratios of dispersed to continuous phase was shown by evaluation of fluidization experiments with spherical foamed polystyrene particles.

In order to test the validity of the relation ρxx ~ ρxy at Bc, different gate voltages were applied to vary the effective amount of disorder and carrier density in the 2DES.

The validity of this relation follows from the fact that if is a solution of the inequality (3.2), then is a solution of the inequality (3.3) and vice versa.

The validity of the relation ZiZϑ = − Ze (where Zi and Zϑ are the TEIs in the galvanostatic and potentiostatic regimes, respectively, and Zv is the electrochemical impedance of the system) was proved.

We made that choice on purpose in order to test the validity of the relation between the normal and tangential components of the friction force beyond the, first order, sinusoidal variation of the frictional properties with the sliding direction, which we had already tested in [17].

These results lead to the conclusion that the validity of the relation based on the theory of regular solutions of simple binary systems is far from being a proof that the existence of intermetallic compounds in such liquid binary alloys is impossible.