Sentence examples for model equations become from inspiring English sources

To nondimensionalise equations (2 - 6) and (7) we introduce the following dimensionless variables: (10) Using the above rescalings the model equations become: (11) where are dimensionless parameters.

LSA is used to determine when the spatially homogenous solution to the model equations becomes unstable to infinitesimally small perturbations.

To fit with two species with the same brightness of detected photons per time interval, the diffusion model equation becomes 4 The values of N1 /(N1 + N2) and N2 /(N1 + N2) are taken to represent the percentage of diffusing free fluorescein or fluorescein attached to GNPs, respectively.

If the variable H in equations 1 to 5 were removed, the equations become one-variable models.

Since the MHD equations become the classic Navier-Stokes equations when the magnetic field (b=0), one may also refer to some interesting results on pressure regularity criteria of the classic Navier-Stokes equations [16 18] and related fluid models [19, 20].

then the balance equations become (5.7).

Given the above conclusions, the reason for the superior performance of the Type B model (Equation 3) becomes apparent.

For the sake of simplicity, it is sufficient to neglect the energy dependence in τ, taking τ = τ (ε F ); for three-dimensional model, Equation 1 becomes the following S c diff.

Determining this behavior typically involves integration of the model equations, which can become computationally very expensive when done for large samples.

Toward the latter part of the first half of the semester, as students are posed a series of problems for analyzing coupled nonlinear differential equations, the guidance for analyzing the equations becomes more general, and the aspects of the model they must analyze and understand become more challenging.

When we applied time-lapse data from control cells to model equation 2, n became underspecified because b came close to 0 (data not shown).