Sentence examples for basis functions of compact-support from inspiring English sources

An approximation can be written as a linear combination, according to: u_{k} (x) = mathop sum limits_{i = 1}^{N} omega_{i} (x u_{i}, (14 where u i are the nodal parameters, and ω i (x) are the basis functions of compact-support, which are constructed from the weight functions associated with the nodes, (w_{i} (x)) omega_{i} (x) = frac{{w_{i} (x)}}{{mathop sum nolimits_{k = 1}^{N} w_{k} (x)}}.

However, due to specific requirements and characteristics (Bernardo and Loja 2015a, b) of the problems to solve and to distinct methods and their achievements, in the first phase of this work, one uses radial basis functions with compact-support (CS-RBF) and in the second phase, one uses multiquadric functions.

The shape function kinetics (SFK) method is based on decomposing the mass into discrete particles using shape functions of compact support.

The dense subspace of (S_{beta }^{tilde{beta }} ( R ) ) of smooth (( C^{infty } ) ) functions of compact supports over R is denoted by (D_{beta }^{tilde{beta }} ( R ) ).

The angular dimension of the action balance equation is discretised with the use of Haar wavelets, hierarchical piecewise-constant basis functions with compact support, and an adaptive methodology for anisotropically adjusting the resolution of the angular mesh is proposed.

Even if the basis functions have compact support, so that the Gram matrix is sparse, its inverse will be dense.

An explicit parameterization scheme for the level set surface is proposed by using radial basis functions with compact support.

A PHT-spline is a piecewise tri-cubic polynomial over a 3D hierarchical T-mesh, the basis functions of which have good properties such as nonnegativity, compact support and partition of unity.

One proves that ([f(H -f(H -fatH {mathcal)]J_{C}}hcal {C}}) is a compact operator for continuous functions, f of compact support.

It can be thought of as an opposite approach from the use of compact support basis functions to ease the solution procedure.

To reach these objectives, a mesh simplification step is first achieved and is followed by the deformation characterisation through a continuous function defined by a network of compact support radial basis functions (RBFs).