Sentence examples for coefficients are constant from inspiring English sources

The stoichiometric coefficients are constant and are connected to the non "steady-state" species, while the related rates involve the slow elementary rates only.

In a first part, a mathematical analysis is made which leads to an analytical formula of the solution in the simple case where the refraction index and the absorption coefficients are constant.

The internal consistency of the simulation is tested with the aid of an analytical model for a binary system where the interdiffusion coefficient and the ratio of the intrinsic diffusion coefficients are constant.

The spectrum of the preconditioned matrix is proven to be clustered around 1 if diffusion coefficients are constant; hence the convergence rate of the proposed iterative algorithm is superlinear.

By applying the separation of variable method on time and space, the governing Partial Differential Equation (PDE) of motion is reduced to an Ordinary Differential Equation (ODE) with one variable coefficient while the other coefficients are constant based on the assumption that the transverse displacement is a harmonic vibration.

Further, these examples show that the significant two-way interaction between the host and commensal populations in systems with competition leads to the occurrence of oscillatory states in some situations even when the yield coefficients are constant and the maintenance requirement is negligible.

Assume that the coefficients are constants in (1.5a).

Suppose that all coefficients are constants and (2.10).

Assume that Assumption 2.1 holds and all coefficients are constants.

If coefficients are constants, the second condition in Theorem 4.2 is as follows: (4.10).

To be more precise, when all coefficients are constants, we provided an explicit formula for (R_{0}^{D}).