Sentence examples for model equations such from inspiring English sources

However, because of the symmetry in model equations such as (1), the subspace X a = X b is flow-invariant, and fusion equilibria are structurally stable.

Early theoretical explanations of spontaneous chaotic oscillations at low temperature are based on complex dynamics of wave front solutions [43] when applied to discrete model equations such as those of Section 2; see Ref. [44].

We can decompose the elements of any mathematical model into the physical parameters used in forming the model equations, such as the material properties or geometric dimensions of the model structure.

In these models, reliabilities of estimated breeding values â are calculated using elements of the inverse of the mixed model equations such as (3).

Furthermore, most of these analyses were carried out numerically; those with analytical approaches were however often done under great simplification for model equations such as stringently assuming that all degradation parameters are identical [ 15, 19].

Such determination may be prevented by the structure of the model equations as such (lack of structural identifiability) or, more generally, because the model structure and/or the scarcity or poor quality of the data make it impossible to obtain reliable parameter estimates (lack of practical identifiability) [ 44].

New model equations appropriate to such high strains with rotations were therefore developed, based on work-conjugate Kirchhoff stresses and Hencky strains.

The adsorption kinetics models contain some equations such as pseudo-first order, pseudo-second order and intra-particle diffusion model.

The adsorption dynamic models contain orders equations such as first-order pseudo, second-order pseudo and so on.

A simpler two-dimensional model for anti-plane shear kinematics is formulated to demonstrate more clearly how such model equations simplify for future finite element implementation.

For the solution of the model equations, the essential parameters such as the junction loss coefficients in Equation 23 are given by Equations 11, 15, 16, and 17 using the local Reynolds number Re and flow ratio Q s /Q c. Figure 10 illustrates the flow network in the form of junction and frictional resistances through a parallel piping connected in Z-configuration.