Sentence examples for be shown by direct from inspiring English sources

Conversely, it can easily be shown by direct computation that the integral equation (2.2) satisfies the problem (1.2).

Conversely, it can easily be shown by direct computation that the integral equation (4.6) satisfies the impulsive initial value problem (4.5).

Conversely, it can easily be shown by direct computation that the integral equation (3.7) satisfies the impulsive periodic boundary value problem (3.6).

However, for ε sufficiently small, since V ˙ L, V ˙ R and V L + V R are exponentially small in this region, thus, it can be shown by direct calculations that H ′ ( x *, ε ) = ε [ - 1 2 γ ( x * ) 3 + O ] > 0, which is a contradiction.

The individual age group differences do not reach statistical significance, but overall mortality is significantly higher in the untested group than in the tested, due not only to differences in the age and sex composition of the tested and untested groups, as can be shown by direct standardisation.

Hydrogen cyanide, released from the catalysts, was shown by direct MS measurements to be converted initially to nitriles.

The accuracy of the present SPH transport model is shown by direct comparison with the analytical solutions and results from other SPH approaches.

While studies have identified small to moderate relationships between biomechanical characteristics and RE [91,104,111,166,168-170], stride length is one of the few gait variables that has been shown by direct experimental evidence to affect economy [104-106,171].

It is shown by direct numerical modeling, using the 3D FDTD method, that a disk resonator with a sinusoidal modulation of its boundary has not only a modified frequency spectrum, but also a greater proportion of its optical radiation is directed normal to its surface.

That space is undergoing metric expansion is shown by direct observational evidence of the Cosmological principle and the Copernican principle, which together with Hubble's law have no other explanation.

Recently the large LNv have been shown by direct patch clamp recording to be acutely light-responsive [30], [31].