Sentence examples for consistent with the equation from inspiring English sources

The first term in the formula (3) is consistent with the equation (4) in Ref. [20] for a percolation radius, ( {R}_{mathrm{perc}}=frac{a}{sqrt[3]{n}}. ).

The stringent time step restriction related to the sound speed is alleviated by formulating an implicit linear system in order to find a pressure consistent with the equation of state.

We thus obtain solutions that are fully consistent with the equation system in a one-dimensional computational domain, which then serve as inlet profiles for the three-dimensional calculation.

In this paper, a new 27-point finite difference method is presented for solving the 3D Helmholtz equation with perfectly matched layer (PML), which is a second order scheme and pointwise consistent with the equation.

This new boundary condition does not change the pressure or the velocity predicted by the numerical method, but does change the density and the temperature in a fashion consistent with the equation of state resulting in new values that minimize a specific measure of variation at the boundary.

In N2-fixing A. variabilis filaments, transcript levels of any gene, i, should be consistent with the equation, Fi = aVi + bHti.

Shannon showed that, in the frequency domain, there is a definition of information capacity that is consistent with the equations described above and which serves as a unique upper limit for the rate of information transmission [ 46].

Other hypotheses may be consistent with this equation, but the implications are not dependent upon the hypothesis.

There were two previous attempts to extend the multiple-relaxation-time (MRT LBMM to a rectangular lattice grid in 2D, however, the resulting hydrodynamic momentum equation was not fully consistent with the Navier Stokes equation, due to anisotropy of the transport coefficients.

The scheme is also perfectly consistent with the Gauss equation.

Note that (17) is consistent with the differential equation u ″ = f ( x, u ).