Sentence examples for functional coefficient from inspiring English sources

Approximate analytical solutions are obtained for special nonlinear diffusion functional coefficient (variable thermal conduction) k(s)=s^{i} for i=1, 3, 5 and convection functional coefficient h(s)=s^{j} for j=1, 4 and power law parameter of n=0.2, 0.5, 1.0, 2.5.

Therefore, Ogada et al. selected a sub-linear growth functional coefficient psi(|nabla u|)=frac{|nabla u|}{1+|nabla u|}.

Interestingly, we found a negative correlation between functional coefficient and protein connectivity both in CORE and FULL datasets (CORE: Spearman's ρ = -0.145, P = 1.00 × 10-6; FULL: Spearman's ρ = -0.191, P = 1.00 × 10-6).

State-dependent functional coefficients of the SD-ARX model are approximated by Gaussian radial basis function (RBF) neural networks.

This method makes it possible to obtain model equations with smooth functional coefficients, describing the effect of the microstructure size.

We apply control at one boundary, take measurements on the other boundary, and allow the system's functional coefficients to be unknown.

The effects of the power law exponent, the nonlinear diffusion or convection functional coefficients, and the free boundary parameter on the flux transport characteristics are presented graphically and analyzed in detail.

This method leads to model equations with smooth functional coefficients, which describe the effect of the microstructure size of these plates not only in dynamic but also in stationary problems.

Case 2: Functional coefficients.

Thereafter, the functional coefficients are determined by using computer, which best fits to the curves.

It is easy to see that ∂ γ e i t p = e i t p ∑ m ≤ | γ | t m ∑ ∑ i β i = γ C β 1 ⋯ β m ∂ β 1 p ⋯ ∂ β m p, which is a polynomial about t multiplied by e i t p with functional coefficients; then ∂ γ ϕ e i t p = e i t p ∑ m ≤ | γ | t m ∑ ∑ i β i ≤ γ | β i | > 0 ϕ β 1 ⋯ β m ∂ β 1 p ⋯ ∂ β m p, (8).