To interpret the effect of frequency diversity within the scope of an array factor, we should factor the vector element pattern out of Equation 2. This can indeed be done under certain conditions.
As we are using a general pattern of differential equations, we are confident that the model can be easily transferred to other grassland sites.
It may be noticed that the form (3.1) is not only convenient for algebraic manipulation but also is helpful in understanding the pattern of transport equations for higher order discontinuities.
However, in order to solve the non-conservative phenomenon under the low stress and not to change the pattern of the original equation (Eq. 9), a correction coefficient should be introduced in the stress ratio of the tensile reinforcement, as (( phi ) × (f s /f y )).
What aspects of process do not matter with respect to causing the same log-linear-log pattern of the Hill equation?
It turned out that many very different kinds of process lead to the same log-linear-log pattern of the Hill equation.
An inhomogeneous steady state pattern of nonlinear reaction diffusion equations with no-flux boundary conditions is usually computed by solving the corresponding time-dependent reaction diffusion equations using temporal schemes.
Systematically numerical exploration of spatial patterns of reaction diffusion equations under different parameter regimes requires that the numerical method be efficient and robust to initial condition or initial guess, with better likelihood of convergence to an inhomogeneous pattern.
Application of this new approach to two reaction diffusion equations in one, two, and three spatial dimensions, along with direct comparisons to several other existing methods, demonstrates that AIIE is a more desirable method for searching inhomogeneous spatial patterns of reaction diffusion equations in a large parameter space.
In the rest of this subsection, we will discuss 3 variants of sparsity-inducing regularizations (norm, norm and norm) that can impose different types of sparsity patterns on the solution of Equation (2) and lead to simultaneous classification and feature selection (Ye and Liu, 2012).
