Sentence examples for depends explicitly on from inspiring English sources

Note, that while the stress depends explicitly on the filament length l, its dependence on the myosin concentration is implicitly contained in the parameters α, α', β, and β'.

The resulting Kompaneets equation depends explicitly on the electron cyclotron frequency and the incidence angle of the incoming photons relative to the direction of the magnetic field.

In our model, the condition for coexistence depends explicitly on patch dynamics, which in turn modulate the limiting similarity for species coexistence.

This feature depends explicitly on the forces between the molecules and is difficult to calculate accurately, as is the value of the constant a, which turns out to be close to 1/2.

The result depends explicitly on the wave function, the kinetic energy operator, and the degree of polynomial completeness for the representation but does not depend explicitly on the potential, even in the presence of a Coulomb singularity.

It is based on a definition of a general Helmholtz free energy function which depends explicitly on the right Cauchy Green deformation tensor, its material time derivative and a structural tensor characterizing the preferred direction from which anisotropy arises.

One goal is that the transient and asymptotic performances depend explicitly on the design parameters.

The effective properties and their resonance frequencies depend explicitly on the shape of the scatterers.

Therefore, the resulting controller does not depend explicitly on the Lyapunov matrix, being robust with respect to the uncertain transition rates.

The adjoint estimates are obtained with solutions to the adjoint problem and depend explicitly on the positions of the sources and their emission rates, and on the initial distribution of pollutants in the region.

When this system is perturbed by dissipative and excitation terms, which do not depend explicitly on time, we use planar Melnikov techniques to determine a parameter set which preserves the co-existence of both heteroclinicandhomoclinic orbits.