Sentence examples for basis functions are derived from inspiring English sources

At first, the particular solutions using polynomial basis functions are derived analytically.

The major advantage of the EMD is that the basis functions are derived from the signal itself.

For the sinc-Galerkin method, the basis functions are derived from the composite translated sinc functions S k ( z ) = S ( k, h ) ( z ) o ϕ ( z ) = sinc ( ϕ ( z ) − k h h ) (2.9).

For the sinc method on the interval (Gamma= [a, b]), basis functions are derived from the composite translated sinc functions S_{j} z)=S ( {j,h} )circ bigl( {phi ( z )} bigr) = operatorname{sinc} biggl( {frac{{ {phi ( z )} - jh}}{h}} biggr), quad j = 0, pm2, pm2, ldots.

This is shown in Figure 3. Figure 3 The relationship between the eye-shaped domain D E and the infinite strip D S. For the sinc-Galerkin method, the basis functions are derived from the composite translated sinc functions S h ( z ) = S ( k, h ) ( z ) = sin c ( ϕ ( z ) − k h h ) (2.7).

Multidimensional basis functions are derived from the product of the orthogonal component basis functions along each dimension.

A residual-based posteriori error estimator using RPHT-splines basis functions is derived to guide the local refinement process adaptively.

A meshless method based on the radial basis function is derived to solve the nonlinear, nondispersive shallow-water equations.

Based on the generalization, a new reconstruction method using Gaussion basis function is derived.

Based on the analysis two new radial basis correction functions are derived and proposed.

Marginal-correlation functions are derived.